{"as_of":"2026-08-15T20:02:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:58c64e08fb89ed38418b6a3d709808810b9fedfa16a2cd8716451031247892de","coverage":[{"denominator":112,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":100,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T12:51:46.457840Z","state":"measured"},{"denominator":100,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":100,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-15T06:32:42.880941+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/1908.06621/citation-record","integrity":"/paper/1908.06621/integrity","json":"/paper/1908.06621/citation-record.json","paper":"/paper/1908.06621"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"hep-th/9602022","last_updated":"1996-02-05T20:42:02Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"1996-02-05T20:42:02Z","title":"Evidence for F-Theory","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9602022","snapshot_observed_at":"2026-08-14T12:51:46.034211Z","title":"Evidence for F-theory","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.034211Z"},"links":{"cited_paper":"/paper/hep-th/9602022","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:b6e9959673353eea25889ce4461061f93cf1238abde04e0619ec89f7ed051311","observation_id":"9bb64176-2e90-4b3c-839d-db96dbf21c79","resolution":{"observed_at":"2026-08-14T12:51:46.034211Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9602114","last_updated":"1996-05-31T19:47:45Z","snapshot_observed_at":"2026-07-07T05:10:07.640343Z","submitted_at":"1996-02-22T04:54:52Z","title":"Compactifications of F-Theory on Calabi--Yau Threefolds -- I","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9602114","snapshot_observed_at":"2026-08-14T12:51:46.039635Z","title":"Compactiﬁcations of F-theory on Calabi-Yau threefolds. 1","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.039635Z"},"links":{"cited_paper":"/paper/hep-th/9602114","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:32c303c460d25067a01aa2a527d9bbcc92d059ae1939f8dd40cdebe07d2c2dda","observation_id":"06f9259a-58fd-4470-8c07-28486bd47136","resolution":{"observed_at":"2026-08-14T12:51:46.039635Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9603161","last_updated":"1996-05-31T19:54:09Z","snapshot_observed_at":"2026-07-07T05:10:25.836311Z","submitted_at":"1996-03-25T07:05:30Z","title":"Compactifications of F-Theory on Calabi--Yau Threefolds -- II","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9603161","snapshot_observed_at":"2026-08-14T12:51:46.044052Z","title":"Compactiﬁcations of F-theory on Calabi-Yau threefolds. 2","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.044052Z"},"links":{"cited_paper":"/paper/hep-th/9603161","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:fd27b06bb67e96f303053f3cdaf33f4158d968d905d1b6a014fdf6837178a58f","observation_id":"23dcfdaa-78ed-4ad9-aa28-ef7249a135cb","resolution":{"observed_at":"2026-08-14T12:51:46.044052Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/0611020","last_updated":"2007-01-31T17:38:11Z","snapshot_observed_at":"2026-07-07T04:12:46.643001Z","submitted_at":"2006-11-02T08:03:48Z","title":"Stringy origin of non-Abelian discrete flavor symmetries","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/0611020","snapshot_observed_at":"2026-08-14T12:51:46.048480Z","title":"Stringyoriginofnon-Abelian discrete ﬂavor symmetries,","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.048480Z"},"links":{"cited_paper":"/paper/hep-ph/0611020","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:82585109a5acaa7f1b04a04b8b19adfc4a66cfd871932d3fc7597a9afc3d8ddc","observation_id":"0f751cea-6c60-4077-8136-1fd2189c4144","resolution":{"observed_at":"2026-08-14T12:51:46.048480Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0904.2631","last_updated":"2009-04-17T04:34:06Z","snapshot_observed_at":"2026-08-15T05:50:22.299166Z","submitted_at":"2009-04-17T04:34:06Z","title":"Non-Abelian Discrete Flavor Symmetries from Magnetized/Intersecting Brane Models","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0904.2631","snapshot_observed_at":"2026-08-14T12:51:46.052926Z","title":"Non-Abelian Discrete Flavor Sym- metries from Magnetized/Intersecting Brane Models,","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.052926Z"},"links":{"cited_paper":"/paper/0904.2631","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:b56ce6dadaddd4fe47fe6197ff7f5adc7fac34cb469f920bc4b362827c86a299","observation_id":"8cc7c9e0-fa45-44f9-95bf-ca4899631168","resolution":{"observed_at":"2026-08-14T12:51:46.052926Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1011.5120","last_updated":"2011-01-23T00:56:11Z","snapshot_observed_at":"2026-08-15T05:02:12.603100Z","submitted_at":"2010-11-23T14:48:08Z","title":"Symmetries and Strings in Field Theory and Gravity","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1011.5120","snapshot_observed_at":"2026-08-14T12:51:46.057427Z","title":"Symmetries and Strings in Field Theory and Gravity","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.057427Z"},"links":{"cited_paper":"/paper/1011.5120","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:27597c99e7684c9e7308d9a46963b846bbe7ea10ab3db9f5506b20adc1445813","observation_id":"c1dde881-3a71-4946-a398-a1ad6b56b2d6","resolution":{"observed_at":"2026-08-14T12:51:46.057427Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1012.5999","last_updated":"2011-01-27T17:19:11Z","snapshot_observed_at":"2026-08-15T04:58:46.697785Z","submitted_at":"2010-12-29T18:49:10Z","title":"Sums over topological sectors and quantization of Fayet-Iliopoulos parameters","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1012.5999","snapshot_observed_at":"2026-08-14T12:51:46.063277Z","title":"Sums over topological sectors and quantization of Fayet- Iliopoulos parameters","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.063277Z"},"links":{"cited_paper":"/paper/1012.5999","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:ba951433ac073b633bfd4c28328e27264bfb22079b6a4a36636aa09f8543d04d","observation_id":"a59f2bc6-c171-4b7e-90b8-c0b21f79d64f","resolution":{"observed_at":"2026-08-14T12:51:46.063277Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1106.0060","last_updated":"2011-10-03T09:46:10Z","snapshot_observed_at":"2026-08-15T04:45:05.116827Z","submitted_at":"2011-05-31T23:48:11Z","title":"RR photons","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1106.0060","snapshot_observed_at":"2026-08-14T12:51:46.067487Z","title":"RR photons","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.067487Z"},"links":{"cited_paper":"/paper/1106.0060","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:72ca22fb2bbdb9dafe93c39cd48dfec9f14627f179bc7bf396d98736802f8b70","observation_id":"bef53b56-804d-43c0-a220-0d770c7c970b","resolution":{"observed_at":"2026-08-14T12:51:46.067487Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1106.4169","last_updated":"2011-09-26T08:36:59Z","snapshot_observed_at":"2026-08-15T04:43:19.909542Z","submitted_at":"2011-06-21T11:08:18Z","title":"Discrete gauge symmetries in D-brane models","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1106.4169","snapshot_observed_at":"2026-08-14T12:51:46.071914Z","title":"Discrete gauge sym- metries in D-brane models","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.071914Z"},"links":{"cited_paper":"/paper/1106.4169","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:eafcba97d90af0a8e89b0996a58ad0ea189134e9f97c5e02b8cb91e1b1e8fc7a","observation_id":"f0115032-4275-4ffc-b22c-1e0dee8f32c9","resolution":{"observed_at":"2026-08-14T12:51:46.071914Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1205.5364","last_updated":"2012-06-07T09:17:51Z","snapshot_observed_at":"2026-08-15T00:59:06.854821Z","submitted_at":"2012-05-24T08:28:21Z","title":"Discrete Gauge Symmetries in Discrete MSSM-like Orientifolds","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1205.5364","snapshot_observed_at":"2026-08-14T12:51:46.076114Z","title":"Discrete Gauge Symmetries in Dis- crete MSSM-like Orientifolds","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.076114Z"},"links":{"cited_paper":"/paper/1205.5364","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:576cd965a1e64dcb60eb54a66f85726ad1e71869141e6f48de967dd6625bd0ea","observation_id":"7f190381-32c1-48d9-b8e4-f2bbb7ff8407","resolution":{"observed_at":"2026-08-14T12:51:46.076114Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1206.2383","last_updated":"2012-08-30T16:45:02Z","snapshot_observed_at":"2026-08-15T00:57:13.297566Z","submitted_at":"2012-06-11T21:33:16Z","title":"Non-Abelian discrete gauge symmetries in 4d string models","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1206.2383","snapshot_observed_at":"2026-08-14T12:51:46.080160Z","title":"Non-Abelian discrete gauge symmetries in 4d string models","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.080160Z"},"links":{"cited_paper":"/paper/1206.2383","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:b057801598dc8f5346d8872b8368034fd5e7da34964129f6b40d67069b815e7c","observation_id":"3f26b2f6-f8d3-4c66-ab02-3e9c1bea49d4","resolution":{"observed_at":"2026-08-14T12:51:46.080160Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1211.5317","last_updated":"2013-04-24T10:47:28Z","snapshot_observed_at":"2026-08-15T00:38:28.877299Z","submitted_at":"2012-11-22T15:54:05Z","title":"Zp charged branes in flux compactifications","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1211.5317","snapshot_observed_at":"2026-08-14T12:51:46.084387Z","title":"Zp charged branes in ﬂux compactiﬁcations","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.084387Z"},"links":{"cited_paper":"/paper/1211.5317","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:b597674a0d6b5bbc2bbb087c76451f7370eb2d8c1c639840b1d1259e92bc8523","observation_id":"acaa994a-b9b9-40f3-b591-24c31d601815","resolution":{"observed_at":"2026-08-14T12:51:46.084387Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1306.1284","last_updated":"2013-06-25T03:24:59Z","snapshot_observed_at":"2026-08-15T00:15:02.142294Z","submitted_at":"2013-06-06T02:11:21Z","title":"Discrete flavor symmetries in D-brane models","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1306.1284","snapshot_observed_at":"2026-08-14T12:51:46.088580Z","title":"Discrete ﬂavor symmetries in D-brane models","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.088580Z"},"links":{"cited_paper":"/paper/1306.1284","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:a81e7e642531cc74220078d132edb0184c0ad4bba5d8dac151db1ca06f46f8af","observation_id":"986fcfbf-7384-4f20-a7ea-1d7d5f62f0ea","resolution":{"observed_at":"2026-08-14T12:51:46.088580Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1303.4415","last_updated":"2013-09-25T19:06:37Z","snapshot_observed_at":"2026-08-15T00:24:45.596928Z","submitted_at":"2013-03-18T20:36:11Z","title":"To Tilt or Not To Tilt: Discrete Gauge Symmetries in Global Intersecting D-Brane Models","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1303.4415","snapshot_observed_at":"2026-08-14T12:51:46.092622Z","title":"To Tilt or Not To Tilt: Discrete Gauge Symmetries in Global Intersecting D-Brane Models","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.092622Z"},"links":{"cited_paper":"/paper/1303.4415","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:4c301dc0aca6f5d5e3bb4fa4a30311748707a3038079c0f6dbe1ef1aed18f182","observation_id":"11db1f9a-4d66-4365-af0c-0cd336d8d10a","resolution":{"observed_at":"2026-08-14T12:51:46.092622Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1310.5582","last_updated":"2013-11-14T15:51:36Z","snapshot_observed_at":"2026-08-14T23:58:13.753445Z","submitted_at":"2013-10-21T15:00:43Z","title":"Antisymmetric tensor Z_p gauge symmetries in field theory and string theory","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1310.5582","snapshot_observed_at":"2026-08-14T12:51:46.096969Z","title":"Antisymmetric tensorZp gauge symmetries in ﬁeld theory and string theory","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.096969Z"},"links":{"cited_paper":"/paper/1310.5582","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:388913959fa3dcfabfe0ed7fd368c65ae32eba7f23217e473c5e5aead4f1a026","observation_id":"9ad0feae-7e2d-487d-a350-bd97fe77a543","resolution":{"observed_at":"2026-08-14T12:51:46.096969Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1406.6290","last_updated":"2014-07-08T13:22:33Z","snapshot_observed_at":"2026-08-14T23:29:14.404874Z","submitted_at":"2014-06-24T16:06:59Z","title":"Discrete Family Symmetry from F-Theory GUTs","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1406.6290","snapshot_observed_at":"2026-08-14T12:51:46.101022Z","title":"Discrete Family Symmetry from F-Theory GUTs","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.101022Z"},"links":{"cited_paper":"/paper/1406.6290","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:afd01779b09ffa2164c492673992796a58961489d365b40b49b799770e34894d","observation_id":"196bf9d0-fedd-4ad2-88e7-60fef2903bfb","resolution":{"observed_at":"2026-08-14T12:51:46.101022Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1502.00985","last_updated":"2015-02-03T19:55:13Z","snapshot_observed_at":"2026-08-14T23:01:31.454539Z","submitted_at":"2015-02-03T19:55:13Z","title":"Discrete Abelian gauge symmetries and axions","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1502.00985","snapshot_observed_at":"2026-08-14T12:51:46.105219Z","title":"Discrete Abelian gauge symmetries and axions","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.105219Z"},"links":{"cited_paper":"/paper/1502.00985","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:d671e1b1a30b6e09e3005a282562fdd21dd8252bbb0e24fbcb4278e64c4f7b5d","observation_id":"cf0f8a4c-d283-4b93-998f-1b2627fd0749","resolution":{"observed_at":"2026-08-14T12:51:46.105219Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1504.06272","last_updated":"2015-04-23T17:39:02Z","snapshot_observed_at":"2026-08-14T22:51:15.997161Z","submitted_at":"2015-04-23T17:39:02Z","title":"Non-Abelian discrete gauge symmetries in F-theory","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1504.06272","snapshot_observed_at":"2026-08-14T12:51:46.110093Z","title":"Non-Abelian discrete gauge symmetries in F-theory","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.110093Z"},"links":{"cited_paper":"/paper/1504.06272","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:ee534f540b6edc908e82dfb46972591739691b695c23041bf4382fcd6e215b75","observation_id":"21a63c5f-9e52-4d80-84da-68f713672793","resolution":{"observed_at":"2026-08-14T12:51:46.110093Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1404.1527","last_updated":"2014-09-30T00:03:42Z","snapshot_observed_at":"2026-08-15T07:25:01.506976Z","submitted_at":"2014-04-05T23:42:58Z","title":"Sections, multisections, and U(1) fields in F-theory","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1404.1527","snapshot_observed_at":"2026-08-14T12:51:46.114329Z","title":"Sections, multisections, andU(1) ﬁelds in F-theory","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.114329Z"},"links":{"cited_paper":"/paper/1404.1527","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:c9307f055d8a826c13a824045e77400a55e14633c4d56d3b20a05ade1acf5a81","observation_id":"c2dcd3f5-52cb-474e-949d-3ec8cb920b56","resolution":{"observed_at":"2026-08-14T12:51:46.114329Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1401.7844","last_updated":"2014-03-26T16:04:24Z","snapshot_observed_at":"2026-08-14T23:46:28.395859Z","submitted_at":"2014-01-30T13:48:16Z","title":"F-theory on Genus-One Fibrations","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1401.7844","snapshot_observed_at":"2026-08-14T12:51:46.118359Z","title":"F-theory on Genus-One Fibrations","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.118359Z"},"links":{"cited_paper":"/paper/1401.7844","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:0e3e6097cd5f7b3ea446f70a3f7a38b86ed64f1eb97dc2f0085217149c4c689c","observation_id":"1e26f450-ef9f-4ce1-a5fa-94656fd66383","resolution":{"observed_at":"2026-08-14T12:51:46.118359Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1406.5180","last_updated":"2014-09-30T11:48:33Z","snapshot_observed_at":"2026-08-14T23:29:44.605064Z","submitted_at":"2014-06-19T20:00:04Z","title":"Physics of F-theory compactifications without section","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1406.5180","snapshot_observed_at":"2026-08-14T12:51:46.122483Z","title":"Physics of F-theory compactiﬁcations without section","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.122483Z"},"links":{"cited_paper":"/paper/1406.5180","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:106685a21fd51dcc86e6f6191a18ecfb8cd2536a7a137cd0f17f704089c9d595","observation_id":"d1037dea-0a7d-40a9-9756-933aa46b1460","resolution":{"observed_at":"2026-08-14T12:51:46.122483Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1408.4808","last_updated":"2014-09-02T22:21:26Z","snapshot_observed_at":"2026-08-14T23:22:28.314251Z","submitted_at":"2014-08-20T20:03:40Z","title":"F-Theory on all Toric Hypersurface Fibrations and its Higgs Branches","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1408.4808","snapshot_observed_at":"2026-08-14T12:51:46.126388Z","title":"F-Theory on all Toric Hypersurface Fibrations and its Higgs Branches","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.126388Z"},"links":{"cited_paper":"/paper/1408.4808","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:ab4be5c718c4adcd139cc3cbc8b7e792f49917ad4c8362354b7f048ff4c57264","observation_id":"fe811e5a-7f3f-4832-98f6-24ac9ac70842","resolution":{"observed_at":"2026-08-14T12:51:46.126388Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1408.6448","last_updated":"2014-09-30T11:44:04Z","snapshot_observed_at":"2026-08-14T23:21:43.672890Z","submitted_at":"2014-08-27T15:56:10Z","title":"Yukawas and discrete symmetries in F-theory compactifications without section","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1408.6448","snapshot_observed_at":"2026-08-14T12:51:46.130611Z","title":"Yukawas and discrete symmetries in F-theory compactiﬁcations without section","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.130611Z"},"links":{"cited_paper":"/paper/1408.6448","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:cab7b340af41923538e0f48b5f57b2a2706b492cc358b2c5db7c054bd783f28d","observation_id":"67e53343-428f-4f85-ae0d-842ab961cf1e","resolution":{"observed_at":"2026-08-14T12:51:46.130611Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1408.6831","last_updated":"2015-01-13T08:46:29Z","snapshot_observed_at":"2026-08-15T17:13:32.498227Z","submitted_at":"2014-08-28T19:56:53Z","title":"Discrete Gauge Symmetries by Higgsing in four-dimensional F-Theory Compactifications","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1408.6831","snapshot_observed_at":"2026-08-14T12:51:46.134620Z","title":"Discrete Gauge Symmetries by Higgsing in four-dimensional F-Theory Compactiﬁcations","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.134620Z"},"links":{"cited_paper":"/paper/1408.6831","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:699fed2577a11235349e7aac78319767a28072ed5d5a3ff2e25847fc1a7082cd","observation_id":"d3b1273b-9a14-4247-92ef-ec7c209a0ef5","resolution":{"observed_at":"2026-08-14T12:51:46.134620Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1410.7814","last_updated":"2015-01-13T08:41:50Z","snapshot_observed_at":"2026-08-14T23:13:53.904558Z","submitted_at":"2014-10-28T21:10:31Z","title":"On Discrete Symmetries and Torsion Homology in F-Theory","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1410.7814","snapshot_observed_at":"2026-08-14T12:51:46.138348Z","title":"On Discrete Symmetries and Torsion Homology in F-Theory","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.138348Z"},"links":{"cited_paper":"/paper/1410.7814","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:c63d5e99305120b6a336c3e365da5c3833374a187d7cdfcc1c10f405f62acb01","observation_id":"4ac97ac1-6812-4c76-a499-d30ed379ec25","resolution":{"observed_at":"2026-08-14T12:51:46.138348Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1411.2615","last_updated":"2015-01-28T15:01:36Z","snapshot_observed_at":"2026-08-14T23:12:12.003895Z","submitted_at":"2014-11-10T21:03:18Z","title":"Complete Intersection Fibers in F-Theory","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1411.2615","snapshot_observed_at":"2026-08-14T12:51:46.142373Z","title":"Complete Intersection Fibers in F-Theory","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.142373Z"},"links":{"cited_paper":"/paper/1411.2615","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:aa7b2b33b1fc8b16e3bd6d7e8a7f7d1c5b0c457760fb46f26a9f41044b83024e","observation_id":"95e0618f-2eb2-4688-93ec-7cd0a8c6e3d0","resolution":{"observed_at":"2026-08-14T12:51:46.142373Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1502.06953","last_updated":"2015-02-24T20:59:49Z","snapshot_observed_at":"2026-08-14T22:58:48.748455Z","submitted_at":"2015-02-24T20:59:49Z","title":"F-Theory Vacua with Z_3 Gauge Symmetry","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1502.06953","snapshot_observed_at":"2026-08-14T12:51:46.146450Z","title":"F-theory vacua with Z3 gauge symmetry","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.146450Z"},"links":{"cited_paper":"/paper/1502.06953","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:915aa2f81ba56e6be74b24c91940f77c79cef587affbbd02628ceb324399ec93","observation_id":"29502f7e-2e7b-4abf-972e-a9dcd85dc68e","resolution":{"observed_at":"2026-08-14T12:51:46.146450Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1508.00162","last_updated":"2015-12-09T09:51:32Z","snapshot_observed_at":"2026-08-14T22:38:02.285156Z","submitted_at":"2015-08-01T19:38:25Z","title":"Fluxes in F-theory Compactifications on Genus-One Fibrations","version":2},"cited_work":{"arxiv_id":"1508.00162","doi":null,"metadata_source":"pith","pith_arxiv_id":"1508.00162","snapshot_observed_at":"2026-08-14T12:51:47.836941Z","title":"Fluxes in F-theory Compactifications on Genus-One Fibrations","venue":"hep-th","work_id":"ad391e37-564d-48ac-b609-5af3ecfc8255","year":2015},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.150741Z"},"links":{"cited_paper":"/paper/1508.00162","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:fea3a428bef17b8adf861abd33823495ee3141b71553d42aa7833b27dce12bf8","observation_id":"8ddb81f5-c91d-4909-8d93-933beb256e52","resolution":{"observed_at":"2026-08-14T12:51:47.841560Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1511.06912","last_updated":"2016-03-09T12:44:53Z","snapshot_observed_at":"2026-08-14T22:21:54.188929Z","submitted_at":"2015-11-21T17:59:00Z","title":"Gauge Groups and Matter Fields on Some Models of F-theory without Section","version":4},"cited_work":{"arxiv_id":"1511.06912","doi":null,"metadata_source":"pith","pith_arxiv_id":"1511.06912","snapshot_observed_at":"2026-08-14T12:51:47.820649Z","title":"Gauge Groups and Matter Fields on Some Models of F-theory without Section","venue":"hep-th","work_id":"4daa5096-b580-4db5-8607-074987f9480a","year":2015},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.154732Z"},"links":{"cited_paper":"/paper/1511.06912","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:9c5e97f7c41cc1655304ebaf693ff0b8abe5db024dd09e8531b1e57cd90fb45a","observation_id":"8319f047-562f-4865-8465-accc621688b0","resolution":{"observed_at":"2026-08-14T12:51:47.824758Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1603.03212","last_updated":"2017-08-24T17:39:43Z","snapshot_observed_at":"2026-08-14T22:06:40.814737Z","submitted_at":"2016-03-10T10:36:35Z","title":"Gauge symmetries and matter fields in F-theory models without section- compactifications on double cover and Fermat quartic K3 constructions times K3","version":5},"cited_work":{"arxiv_id":"1603.03212","doi":null,"metadata_source":"pith","pith_arxiv_id":"1603.03212","snapshot_observed_at":"2026-08-14T12:51:47.803108Z","title":"Gauge symmetries and matter fields in F-theory models without section- compactifications on double cover and Fermat quartic K3 constructions times K3","venue":"hep-th","work_id":"24434f72-cae0-4003-8009-011374a630ac","year":2016},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.158642Z"},"links":{"cited_paper":"/paper/1603.03212","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:f7b1779c270dac28c1fe6adaf99fd554d2fb3504826355394eb94350e1a23712","observation_id":"9e4c969d-2f77-4c1a-8cc4-b023a206d42e","resolution":{"observed_at":"2026-08-14T12:51:47.807755Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1604.00011","last_updated":"2016-03-31T20:00:02Z","snapshot_observed_at":"2026-08-14T22:03:35.213802Z","submitted_at":"2016-03-31T20:00:02Z","title":"Mordell-Weil Torsion in the Mirror of Multi-Sections","version":1},"cited_work":{"arxiv_id":"1604.00011","doi":null,"metadata_source":"pith","pith_arxiv_id":"1604.00011","snapshot_observed_at":"2026-08-14T12:51:47.786488Z","title":"Mordell-Weil Torsion in the Mirror of Multi-Sections","venue":"hep-th","work_id":"2f8aa75a-4ad4-4d2b-ae93-33e41800c483","year":2016},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.162862Z"},"links":{"cited_paper":"/paper/1604.00011","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:7be07ae46e96cb1e4bc4b1f393c39c6553fc4c104a4be6cb9c9dfa84a623fc15","observation_id":"811f7499-a20f-44a6-8b6d-4d5c9848fc6b","resolution":{"observed_at":"2026-08-14T12:51:47.791016Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1607.02978","last_updated":"2018-03-23T17:12:28Z","snapshot_observed_at":"2026-08-14T21:48:56.303182Z","submitted_at":"2016-07-11T14:36:01Z","title":"Gauge groups and matter spectra in F-theory compactifications on genus-one fibered Calabi-Yau 4-folds without section - hypersurface and double cover constructions","version":7},"cited_work":{"arxiv_id":"1607.02978","doi":null,"metadata_source":"pith","pith_arxiv_id":"1607.02978","snapshot_observed_at":"2026-08-14T12:51:47.770549Z","title":"Gauge groups and matter spectra in F-theory compactifications on genus-one fibered Calabi-Yau 4-folds without section - hypersurface and double cover constructions","venue":"hep-th","work_id":"7631bd44-ec7b-466c-a70e-12e90be3418a","year":2016},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.168133Z"},"links":{"cited_paper":"/paper/1607.02978","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:8641e9336a332f05cdd5335487d2dd757ae1d4eacb94b0baf2a44ddfdae908b6","observation_id":"4db3aa4f-03a0-4e8d-8ebe-2c5a284e43c8","resolution":{"observed_at":"2026-08-14T12:51:47.775112Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1607.03176","last_updated":"2016-07-11T21:48:47Z","snapshot_observed_at":"2026-08-14T21:48:51.775339Z","submitted_at":"2016-07-11T21:48:47Z","title":"Discrete Symmetries in Heterotic/F-theory Duality and Mirror Symmetry","version":1},"cited_work":{"arxiv_id":"1607.03176","doi":null,"metadata_source":"pith","pith_arxiv_id":"1607.03176","snapshot_observed_at":"2026-08-14T12:51:47.753867Z","title":"Discrete Symmetries in Heterotic/F-theory Duality and Mirror Symmetry","venue":"hep-th","work_id":"59f8d0e9-d85b-4080-a9f5-3be91333cec5","year":2016},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.172332Z"},"links":{"cited_paper":"/paper/1607.03176","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:e4ca5ec87dd53f8da912661511c76d105810d40bc66acbc652c2586317e6cda8","observation_id":"12a8e297-fe67-40a7-9cd9-4812fa2c3c09","resolution":{"observed_at":"2026-08-14T12:51:47.758502Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1608.07219","last_updated":"2017-05-01T01:24:44Z","snapshot_observed_at":"2026-08-14T21:42:47.067575Z","submitted_at":"2016-08-25T16:54:53Z","title":"Discrete Gauge Groups in F-theory Models on Genus-One Fibered Calabi-Yau 4-folds without Section","version":6},"cited_work":{"arxiv_id":"1608.07219","doi":null,"metadata_source":"pith","pith_arxiv_id":"1608.07219","snapshot_observed_at":"2026-08-14T12:51:47.736943Z","title":"Discrete Gauge Groups in F-theory Models on Genus-One Fibered Calabi-Yau 4-folds without Section","venue":"hep-th","work_id":"6edfacd2-10cc-4464-8d04-8f6a2ce092c2","year":2016},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.176435Z"},"links":{"cited_paper":"/paper/1608.07219","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:5b649188a3b75cb24cb32ac8ff374b42bc500d06804b65035895488a89b1e45d","observation_id":"80efe120-0cce-4d71-9ec6-6f4bf9c7689c","resolution":{"observed_at":"2026-08-14T12:51:47.741508Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1801.06525","last_updated":"2018-03-07T10:03:29Z","snapshot_observed_at":"2026-08-14T19:53:41.614844Z","submitted_at":"2018-01-19T18:37:26Z","title":"K3 surfaces without section as double covers of Halphen surfaces, and F-theory compactifications","version":2},"cited_work":{"arxiv_id":"1801.06525","doi":null,"metadata_source":"pith","pith_arxiv_id":"1801.06525","snapshot_observed_at":"2026-08-14T12:51:47.718997Z","title":"K3 surfaces without section as double covers of Halphen surfaces, and F-theory compactifications","venue":"hep-th","work_id":"4afa4bb8-41dc-46f8-8339-2ff3f86331ea","year":2018},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.180510Z"},"links":{"cited_paper":"/paper/1801.06525","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:0607a909d119ba1c34776ddd70e5a3fc37e023565fb69d113213b00695403bdb","observation_id":"7ee19ef7-8b41-4925-a3e7-27a51fc032b9","resolution":{"observed_at":"2026-08-14T12:51:47.724087Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1801.08658","last_updated":"2018-07-14T21:49:32Z","snapshot_observed_at":"2026-08-14T19:51:52.122092Z","submitted_at":"2018-01-26T02:38:53Z","title":"F-theory on Quotient Threefolds with (2,0) Discrete Superconformal Matter","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1801.08658","snapshot_observed_at":"2026-08-14T12:51:46.184424Z","title":"F-theory on Quotient Three- folds with (2,0) Discrete Superconformal Matter","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.184424Z"},"links":{"cited_paper":"/paper/1801.08658","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:a133c682e09b929da0b0af56b2dc345e21d1a529e6ea398d86e60e611bc7b8ae","observation_id":"7005e84b-fefc-4863-bc8f-a7171c4667b7","resolution":{"observed_at":"2026-08-14T12:51:46.184424Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1806.01727","last_updated":"2018-07-06T05:24:50Z","snapshot_observed_at":"2026-08-14T19:07:17.730093Z","submitted_at":"2018-06-05T14:52:52Z","title":"$SU(n) \\times \\mathbb{Z}_2$ in F-theory on K3 surfaces without section as double covers of Halphen surfaces","version":2},"cited_work":{"arxiv_id":"1806.01727","doi":null,"metadata_source":"pith","pith_arxiv_id":"1806.01727","snapshot_observed_at":"2026-08-14T12:51:47.688946Z","title":"$SU(n) \\times \\mathbb{Z}_2$ in F-theory on K3 surfaces without section as double covers of Halphen surfaces","venue":"hep-th","work_id":"9fe1683c-6e66-42fd-b49c-036ad1b61ad3","year":2018},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.188569Z"},"links":{"cited_paper":"/paper/1806.01727","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:821716b56514014cfe3ff62146cc423ea3f2dd3495118b76eaa260f6a22cd486","observation_id":"5db25daa-a5b5-4652-bbfe-8bee98630230","resolution":{"observed_at":"2026-08-14T12:51:47.693583Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1806.01854","last_updated":"2018-06-05T18:00:02Z","snapshot_observed_at":"2026-08-14T19:07:11.664737Z","submitted_at":"2018-06-05T18:00:02Z","title":"TASI Lectures on F-theory","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1806.01854","snapshot_observed_at":"2026-08-14T12:51:46.193503Z","title":"F-theory","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.193503Z"},"links":{"cited_paper":"/paper/1806.01854","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:77dae234ac0afe266ac0688abc2e415bd80686243392ae9fbd7d49afc5c97e0b","observation_id":"3ea6cd38-921a-4ff4-b2a8-df837cc4dda1","resolution":{"observed_at":"2026-08-14T12:51:46.193503Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1807.01320","last_updated":"2018-07-11T18:15:14Z","snapshot_observed_at":"2026-08-14T18:56:03.451983Z","submitted_at":"2018-07-03T18:00:01Z","title":"An F-theory Realization of the Chiral MSSM with $\\mathbb{Z}_2$-Parity","version":2},"cited_work":{"arxiv_id":"1807.01320","doi":null,"metadata_source":"pith","pith_arxiv_id":"1807.01320","snapshot_observed_at":"2026-08-14T12:51:47.660502Z","title":"An F-theory Realization of the Chiral MSSM with $\\mathbb{Z}_2$-Parity","venue":"hep-th","work_id":"d3b03b8e-767f-46a6-8c5d-fa7e7ddc3971","year":2018},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.199705Z"},"links":{"cited_paper":"/paper/1807.01320","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:76e3b2afdd3e9bdc30436217963948e41a293f99397a3b1013393703c2980613","observation_id":"36272622-b0ba-46cf-b587-bc72951fc7c2","resolution":{"observed_at":"2026-08-14T12:51:47.664918Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1809.00012","last_updated":"2018-11-11T22:48:06Z","snapshot_observed_at":"2026-08-14T18:34:24.839255Z","submitted_at":"2018-08-31T18:00:25Z","title":"TASI Lectures on Abelian and Discrete Symmetries in F-theory","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1809.00012","snapshot_observed_at":"2026-08-14T12:51:46.204634Z","title":"TASI Lectures on Abelian and Discrete Symmetries in F-theory","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.204634Z"},"links":{"cited_paper":"/paper/1809.00012","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:d4159af39cd5f6a21f5bb14d10d57bfc4886fcbb8df3671cfb4d2686641d99e5","observation_id":"d0445713-c4ca-4af3-9da7-d69fc74bd7eb","resolution":{"observed_at":"2026-08-14T12:51:46.204634Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1809.05160","last_updated":"2018-12-26T17:21:58Z","snapshot_observed_at":"2026-08-14T18:28:39.319878Z","submitted_at":"2018-09-13T20:08:27Z","title":"On the prevalence of elliptic and genus one fibrations among toric hypersurface Calabi-Yau threefolds","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1809.05160","snapshot_observed_at":"2026-08-14T12:51:46.208858Z","title":"Ontheprevalenceofellipticandgenusoneﬁbrationsamong toric hypersurface Calabi-Yau threefolds","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.208858Z"},"links":{"cited_paper":"/paper/1809.05160","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:72be63e7abc75857cc0b42a3530a1710412c015b50b8f034200d387696c87d1a","observation_id":"4c197e13-bef6-416c-8e93-6583a1713e8e","resolution":{"observed_at":"2026-08-14T12:51:46.208858Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1810.07657","last_updated":"2019-02-01T09:52:58Z","snapshot_observed_at":"2026-08-14T18:13:07.984787Z","submitted_at":"2018-10-17T16:42:28Z","title":"Nongeometric heterotic strings and dual F-theory with enhanced gauge groups","version":2},"cited_work":{"arxiv_id":"1810.07657","doi":null,"metadata_source":"pith","pith_arxiv_id":"1810.07657","snapshot_observed_at":"2026-08-14T12:51:47.619114Z","title":"Nongeometric heterotic strings and dual F-theory with enhanced gauge groups","venue":"hep-th","work_id":"bd8ee8d8-d22d-4086-b7d4-af9586a43219","year":2018},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.213520Z"},"links":{"cited_paper":"/paper/1810.07657","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:dcaa0b67ce2bb8a8dde343b7a51c6fd216dbdf99c1cd4ed93e77a70fe6de83c2","observation_id":"0e522eda-0271-414e-bfa2-f99a991596e4","resolution":{"observed_at":"2026-08-14T12:51:47.623947Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1902.00944","last_updated":"2019-07-17T16:43:30Z","snapshot_observed_at":"2026-08-14T17:21:40.820687Z","submitted_at":"2019-02-03T18:14:11Z","title":"Unbroken $E_7\\times E_7$ nongeometric heterotic strings, stable degenerations and enhanced gauge groups in F-theory duals","version":3},"cited_work":{"arxiv_id":"1902.00944","doi":null,"metadata_source":"pith","pith_arxiv_id":"1902.00944","snapshot_observed_at":"2026-08-14T12:51:47.600985Z","title":"Unbroken $E_7\\times E_7$ nongeometric heterotic strings, stable degenerations and enhanced gauge groups in F-theory duals","venue":"hep-th","work_id":"83ee78b7-ac41-41d8-a283-35d18280eec3","year":2019},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.217281Z"},"links":{"cited_paper":"/paper/1902.00944","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:418ad03865486bdcb520868dc617db8f5ef336edbb3df0920e947483976f1304","observation_id":"b0194cdd-4bea-4c02-b3d5-90462cbfe03f","resolution":{"observed_at":"2026-08-14T12:51:47.605922Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1905.03775","last_updated":"2019-06-27T16:31:15Z","snapshot_observed_at":"2026-08-14T16:34:45.477626Z","submitted_at":"2019-05-09T17:58:13Z","title":"Discrete gauge groups in certain F-theory models in six dimensions","version":2},"cited_work":{"arxiv_id":"1905.03775","doi":null,"metadata_source":"pith","pith_arxiv_id":"1905.03775","snapshot_observed_at":"2026-08-14T12:51:47.584141Z","title":"Discrete gauge groups in certain F-theory models in six dimensions","venue":"hep-th","work_id":"60c90098-7d0b-4d42-b26e-2988c90b4c51","year":2019},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.222180Z"},"links":{"cited_paper":"/paper/1905.03775","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:67ead00b805475dcf715a715a04c89064aa578d8167fa30d87a783525ba188bc","observation_id":"f59403fa-2946-45f3-9da3-31b322e378aa","resolution":{"observed_at":"2026-08-14T12:51:47.588574Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1907.13503","last_updated":"2020-07-07T04:54:45Z","snapshot_observed_at":"2026-08-15T16:36:29.537123Z","submitted_at":"2019-07-31T13:48:36Z","title":"A note on transition in discrete gauge groups in F-theory","version":4},"cited_work":{"arxiv_id":"1907.13503","doi":null,"metadata_source":"pith","pith_arxiv_id":"1907.13503","snapshot_observed_at":"2026-08-14T12:51:47.566006Z","title":"A note on transition in discrete gauge groups in F-theory","venue":"hep-th","work_id":"a248b233-6449-4ad0-b0b8-c8d6f679400e","year":2019},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.227560Z"},"links":{"cited_paper":"/paper/1907.13503","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:22aba256cbe9ab9efbcee481e205dcbb737cf8c7a86850772ca0b81a412e7e78","observation_id":"3ed49f56-b7d5-4f8c-95e5-fd80a4edf628","resolution":{"observed_at":"2026-08-14T12:51:47.571247Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9812141","last_updated":"1999-08-29T21:21:12Z","snapshot_observed_at":"2026-07-07T05:18:38.811140Z","submitted_at":"1998-12-17T00:43:08Z","title":"Elevating the Free-Fermion $Z_2\\times Z_2$ Orbifold Model to a Compactification of F-Theory","version":2},"cited_work":{"arxiv_id":"hep-th/9812141","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-th/9812141","snapshot_observed_at":"2026-08-14T12:51:47.548661Z","title":"Elevating the Free-Fermion $Z_2\\times Z_2$ Orbifold Model to a Compactification of F-Theory","venue":"hep-th","work_id":"8614624e-94cc-4055-b89d-bfbac5786655","year":1998},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.232573Z"},"links":{"cited_paper":"/paper/hep-th/9812141","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:4d8b067d787d28a99db3e1b9a2b8099d27245344be632604668af1d87f7eb42a","observation_id":"07940f57-3847-48fd-93d6-60c7e536fd5c","resolution":{"observed_at":"2026-08-14T12:51:47.553653Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"th/0103170","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:51:47.528498Z","title":"Triples, ﬂuxes, and strings","venue":null,"work_id":"ef23fb64-0d39-483d-af62-f718702c366f","year":2002},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.237921Z"},"links":{"citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:85f0cd4b5b652d585b348b2b700c3d2330128b298e486176cc4716ce650460a8","observation_id":"19090159-7f87-4d52-b93a-c0fc0630b9b8","resolution":{"observed_at":"2026-08-14T12:51:47.535058Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1208.2695","last_updated":"2012-11-12T18:55:09Z","snapshot_observed_at":"2026-08-15T00:50:00.685639Z","submitted_at":"2012-08-13T20:01:03Z","title":"F-Theory and the Mordell-Weil Group of Elliptically-Fibered Calabi-Yau Threefolds","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1208.2695","snapshot_observed_at":"2026-08-14T12:51:46.241622Z","title":"F-Theory and the Mordell-Weil Group of Elliptically- Fibered Calabi-Yau Threefolds","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.241622Z"},"links":{"cited_paper":"/paper/1208.2695","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:cb622e139da093b02180a07add626baafc47d44cc3caa93beb5c9b268d0fed11","observation_id":"5092dbe3-a930-494b-b6b3-1161ac4e94f2","resolution":{"observed_at":"2026-08-14T12:51:46.241622Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1211.6742","last_updated":"2013-08-01T14:35:44Z","snapshot_observed_at":"2026-08-15T00:37:49.694951Z","submitted_at":"2012-11-28T21:00:02Z","title":"U(1) symmetries in F-theory GUTs with multiple sections","version":2},"cited_work":{"arxiv_id":"1211.6742","doi":null,"metadata_source":"pith","pith_arxiv_id":"1211.6742","snapshot_observed_at":"2026-08-14T12:51:47.390055Z","title":"U(1) symmetries in F-theory GUTs with multiple sections","venue":"hep-th","work_id":"3e66ad63-2f4f-4e9c-b7e4-2e7bc950b8ae","year":2012},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.245730Z"},"links":{"cited_paper":"/paper/1211.6742","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:208f13a68fed4525d31e286de83059b12e161c6fd32fde46f47e7261cfceb54e","observation_id":"2bf93c9f-368b-40d7-9821-58a971ad939d","resolution":{"observed_at":"2026-08-14T12:51:47.394224Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1302.1854","last_updated":"2013-06-06T17:30:13Z","snapshot_observed_at":"2026-08-15T00:29:31.206281Z","submitted_at":"2013-02-07T20:38:21Z","title":"New Global F-theory GUTs with U(1) symmetries","version":3},"cited_work":{"arxiv_id":"1302.1854","doi":null,"metadata_source":"pith","pith_arxiv_id":"1302.1854","snapshot_observed_at":"2026-08-14T12:51:47.373911Z","title":"New Global F-theory GUTs with U(1) symmetries","venue":"hep-th","work_id":"a56b7665-720b-4f18-b46b-0a2197c98448","year":2013},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.250368Z"},"links":{"cited_paper":"/paper/1302.1854","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:e202ef6c8b4e11eae407fa7e2a8144302daad784e3410a24a7e843e90be5bd4d","observation_id":"ffb40156-741a-4acd-b12d-85209c548b67","resolution":{"observed_at":"2026-08-14T12:51:47.378330Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1303.5054","last_updated":"2013-03-20T20:00:03Z","snapshot_observed_at":"2026-08-15T00:24:25.700972Z","submitted_at":"2013-03-20T20:00:03Z","title":"Elliptic fibrations for SU(5) x U(1) x U(1) F-theory vacua","version":1},"cited_work":{"arxiv_id":"1303.5054","doi":null,"metadata_source":"pith","pith_arxiv_id":"1303.5054","snapshot_observed_at":"2026-08-14T12:51:47.357611Z","title":"Elliptic fibrations for SU(5) x U(1) x U(1) F-theory vacua","venue":"hep-th","work_id":"9d06cd60-fbce-4aa0-8b1b-ca35a53d95a5","year":2013},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.254733Z"},"links":{"cited_paper":"/paper/1303.5054","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:b591cf3f68cc4fa4201bbc31300232ef95df6ea22e6941683124f3804e71b488","observation_id":"b556ea5e-2dfc-4faa-bce9-9c4885cddd55","resolution":{"observed_at":"2026-08-14T12:51:47.362129Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1303.6970","last_updated":"2013-07-03T00:37:31Z","snapshot_observed_at":"2026-08-15T00:23:30.168667Z","submitted_at":"2013-03-27T20:09:50Z","title":"F-Theory Compactifications with Multiple U(1)-Factors: Constructing Elliptic Fibrations with Rational Sections","version":3},"cited_work":{"arxiv_id":"1303.6970","doi":null,"metadata_source":"pith","pith_arxiv_id":"1303.6970","snapshot_observed_at":"2026-08-14T12:51:47.340402Z","title":"F-Theory Compactifications with Multiple U(1)-Factors: Constructing Elliptic Fibrations with Rational Sections","venue":"hep-th","work_id":"255ce037-1f68-4899-9cb5-255b07d9565b","year":2013},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.258776Z"},"links":{"cited_paper":"/paper/1303.6970","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:bf1a5ec2e54564000b6766428c9ddf0bc055fd4c117a585a368c685392a2df14","observation_id":"f89f8d90-af9a-45c7-9869-62944c35051e","resolution":{"observed_at":"2026-08-14T12:51:47.345049Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1306.0577","last_updated":"2013-08-07T17:08:11Z","snapshot_observed_at":"2026-08-15T00:15:21.872189Z","submitted_at":"2013-06-03T20:00:18Z","title":"Geometric Engineering in Toric F-Theory and GUTs with U(1) Gauge Factors","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1306.0577","snapshot_observed_at":"2026-08-14T12:51:46.262880Z","title":"Geometric Engineering in Toric F-Theory and GUTs with U(1) Gauge Factors,","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.262880Z"},"links":{"cited_paper":"/paper/1306.0577","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:cd2a1606648c6cc836b6f1cf83246dab941c39306a6623d2c74eaab737db1acc","observation_id":"671f0566-9014-479e-841d-da1220105a22","resolution":{"observed_at":"2026-08-14T12:51:46.262880Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1306.3987","last_updated":"2014-02-21T16:57:36Z","snapshot_observed_at":"2026-08-15T00:13:47.521270Z","submitted_at":"2013-06-17T20:00:01Z","title":"Chiral Four-Dimensional F-Theory Compactifications With SU(5) and Multiple U(1)-Factors","version":3},"cited_work":{"arxiv_id":"1306.3987","doi":null,"metadata_source":"pith","pith_arxiv_id":"1306.3987","snapshot_observed_at":"2026-08-14T12:51:47.311540Z","title":"Chiral Four-Dimensional F-Theory Compactifications With SU(5) and Multiple U(1)-Factors","venue":"hep-th","work_id":"329f9635-92c0-4d81-8cd0-611e08e1cb99","year":2013},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.266974Z"},"links":{"cited_paper":"/paper/1306.3987","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:294ff4f17b67b3b03f676132d9010106e55d14563687b19bfcd06198532a2b63","observation_id":"9bcdac42-25a5-4cb4-90a6-b23f7954d008","resolution":{"observed_at":"2026-08-14T12:51:47.316084Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1307.6425","last_updated":"2013-07-24T14:03:50Z","snapshot_observed_at":"2026-08-15T00:09:14.373117Z","submitted_at":"2013-07-24T14:03:50Z","title":"F-Theory Compactifications with Multiple U(1)-Factors: Addendum","version":1},"cited_work":{"arxiv_id":"1307.6425","doi":null,"metadata_source":"pith","pith_arxiv_id":"1307.6425","snapshot_observed_at":"2026-08-14T12:51:47.294838Z","title":"F-Theory Compactifications with Multiple U(1)-Factors: Addendum","venue":"hep-th","work_id":"e3091929-a060-4841-adb0-887e2648deaf","year":2013},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.271194Z"},"links":{"cited_paper":"/paper/1307.6425","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:de3177da40c4aaddbd7e3ca49c00cb002eb4c3765a6719d94a37503c3ff6df72","observation_id":"c595e42b-27ff-4bc4-86c3-25f991e124c6","resolution":{"observed_at":"2026-08-14T12:51:47.299100Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1310.0463","last_updated":"2013-10-01T20:00:04Z","snapshot_observed_at":"2026-08-15T00:00:45.034393Z","submitted_at":"2013-10-01T20:00:04Z","title":"Elliptic Fibrations with Rank Three Mordell-Weil Group: F-theory with U(1) x U(1) x U(1) Gauge Symmetry","version":1},"cited_work":{"arxiv_id":"1310.0463","doi":null,"metadata_source":"pith","pith_arxiv_id":"1310.0463","snapshot_observed_at":"2026-08-14T12:51:47.278096Z","title":"Elliptic Fibrations with Rank Three Mordell-Weil Group: F-theory with U(1) x U(1) x U(1) Gauge Symmetry","venue":"hep-th","work_id":"15757c63-49b2-49ea-ba39-4f3943c47184","year":2013},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.275484Z"},"links":{"cited_paper":"/paper/1310.0463","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:3f53f0df14ebe3f3c0fc9b456bb51efe1e43edebdd480363761ab1fa7142394c","observation_id":"0b2d40d7-e5d6-4927-9ecf-9c5b0be521b3","resolution":{"observed_at":"2026-08-14T12:51:47.282595Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1403.7066","last_updated":"2014-07-04T10:08:11Z","snapshot_observed_at":"2026-08-14T23:39:42.766173Z","submitted_at":"2014-03-27T15:04:44Z","title":"F-theory Family Unification","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1403.7066","snapshot_observed_at":"2026-08-14T12:51:46.279859Z","title":"F-theory Family Uniﬁcation","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.279859Z"},"links":{"cited_paper":"/paper/1403.7066","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:976ccecce4dc38664a121d0b8a6c083739b22be093d0e754ce4827385182d92d","observation_id":"8e976366-c2de-4115-9d2a-3c9d5471a3cc","resolution":{"observed_at":"2026-08-14T12:51:46.279859Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1404.6720","last_updated":"2014-07-08T21:12:43Z","snapshot_observed_at":"2026-08-14T23:36:12.148983Z","submitted_at":"2014-04-27T07:26:49Z","title":"F-GUTs with Mordell-Weil U(1)'s","version":3},"cited_work":{"arxiv_id":"1404.6720","doi":null,"metadata_source":"pith","pith_arxiv_id":"1404.6720","snapshot_observed_at":"2026-08-14T12:51:47.250946Z","title":"F-GUTs with Mordell-Weil U(1)'s","venue":"hep-th","work_id":"23ef551e-d15d-4db4-a26c-86d76c1637d1","year":2014},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.284075Z"},"links":{"cited_paper":"/paper/1404.6720","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:585fd0a38d3be3579180ac4fe5085a41e505e73283a6d1a54b77fb72339b600c","observation_id":"729321b3-5f19-438f-86b3-87858c41a7c9","resolution":{"observed_at":"2026-08-14T12:51:47.255534Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1410.0003","last_updated":"2014-09-30T20:00:01Z","snapshot_observed_at":"2026-08-14T23:17:27.871047Z","submitted_at":"2014-09-30T20:00:01Z","title":"A New Model for Elliptic Fibrations with a Rank One Mordell-Weil Group: I. Singular Fibers and Semi-Stable Degenerations","version":1},"cited_work":{"arxiv_id":"1410.0003","doi":null,"metadata_source":"pith","pith_arxiv_id":"1410.0003","snapshot_observed_at":"2026-08-14T12:51:47.234729Z","title":"A New Model for Elliptic Fibrations with a Rank One Mordell-Weil Group: I. Singular Fibers and Semi-Stable Degenerations","venue":"hep-th","work_id":"3cc2f802-3deb-4b93-b80d-78923e99532e","year":2014},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.288240Z"},"links":{"cited_paper":"/paper/1410.0003","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:a6a217ae8b06419f4e5b3fb5cf171c9a7b291d52d50079620b4d14ec2ddaf851","observation_id":"cdf92ed5-1344-4583-8f2b-9b0aeec5abf1","resolution":{"observed_at":"2026-08-14T12:51:47.239258Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1504.05593","last_updated":"2018-11-23T19:42:43Z","snapshot_observed_at":"2026-08-14T22:51:33.896401Z","submitted_at":"2015-04-21T20:01:43Z","title":"F-theory and All Things Rational: Surveying U(1) Symmetries with Rational Sections","version":2},"cited_work":{"arxiv_id":"1504.05593","doi":null,"metadata_source":"pith","pith_arxiv_id":"1504.05593","snapshot_observed_at":"2026-08-14T12:51:47.217407Z","title":"F-theory and All Things Rational: Surveying U(1) Symmetries with Rational Sections","venue":"hep-th","work_id":"8acfc465-77db-4a3a-ba24-756b369bf862","year":2015},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.292437Z"},"links":{"cited_paper":"/paper/1504.05593","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:b9d3522000b53c06fa5cc8eafcb4e21c3fb6e779549b65eaf8bee4f8d6559a2e","observation_id":"71cf32a5-f117-4ed3-a3fb-e5e7197b51fa","resolution":{"observed_at":"2026-08-14T12:51:47.222287Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1507.05954","last_updated":"2015-11-27T16:12:37Z","snapshot_observed_at":"2026-08-14T22:39:33.293508Z","submitted_at":"2015-07-21T19:59:22Z","title":"General U(1)xU(1) F-theory Compactifications and Beyond: Geometry of unHiggsings and novel Matter Structure","version":2},"cited_work":{"arxiv_id":"1507.05954","doi":null,"metadata_source":"pith","pith_arxiv_id":"1507.05954","snapshot_observed_at":"2026-08-14T12:51:47.197813Z","title":"General U(1)xU(1) F-theory Compactifications and Beyond: Geometry of unHiggsings and novel Matter Structure","venue":"hep-th","work_id":"89995f25-b60a-4ab4-ac84-53e3bfedf01c","year":2015},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.296662Z"},"links":{"cited_paper":"/paper/1507.05954","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:dd4f984f390a3a97824b4b347992fd0ef9fc9bf2aa68a1809c970fa157c7030c","observation_id":"29bfdd1f-6c77-46e5-a4f7-00b003500fcd","resolution":{"observed_at":"2026-08-14T12:51:47.203913Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1511.08208","last_updated":"2015-11-25T20:59:35Z","snapshot_observed_at":"2026-08-14T22:21:17.603769Z","submitted_at":"2015-11-25T20:59:35Z","title":"Origin of Abelian Gauge Symmetries in Heterotic/F-theory Duality","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1511.08208","snapshot_observed_at":"2026-08-14T12:51:46.300771Z","title":"Origin of Abelian Gauge Symmetries in Heterotic/F-theory Duality,","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.300771Z"},"links":{"cited_paper":"/paper/1511.08208","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:aee2eabdae1e918ac58e9e392726dc37a27cd478e620336be38ca6cbbd090fc4","observation_id":"df041c79-643f-4077-9ef0-fc980c4301ef","resolution":{"observed_at":"2026-08-14T12:51:46.300771Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1606.07444","last_updated":"2016-06-23T20:00:03Z","snapshot_observed_at":"2026-08-14T21:51:24.433209Z","submitted_at":"2016-06-23T20:00:03Z","title":"Tall sections from non-minimal transformations","version":1},"cited_work":{"arxiv_id":"1606.07444","doi":null,"metadata_source":"pith","pith_arxiv_id":"1606.07444","snapshot_observed_at":"2026-08-14T12:51:47.169378Z","title":"Tall sections from non-minimal transformations","venue":"hep-th","work_id":"82730a7e-aa09-46a8-bc1c-5399b3a62791","year":2016},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.305022Z"},"links":{"cited_paper":"/paper/1606.07444","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:debf1428a3da4f6c44341da1453b08fb306edd1048401cc6e36eb5525906c395","observation_id":"23d05cb2-66d5-4668-871b-5402f9dc4c4e","resolution":{"observed_at":"2026-08-14T12:51:47.173987Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1610.06929","last_updated":"2016-11-16T18:45:43Z","snapshot_observed_at":"2026-08-14T21:34:05.858322Z","submitted_at":"2016-10-21T20:00:04Z","title":"Non-Higgsable abelian gauge symmetry and F-theory on fiber products of rational elliptic surfaces","version":2},"cited_work":{"arxiv_id":"1610.06929","doi":null,"metadata_source":"pith","pith_arxiv_id":"1610.06929","snapshot_observed_at":"2026-08-14T12:51:47.150539Z","title":"Non-Higgsable abelian gauge symmetry and F-theory on fiber products of rational elliptic surfaces","venue":"hep-th","work_id":"8c63b721-c06b-4baa-b877-cf175e13be27","year":2016},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.309156Z"},"links":{"cited_paper":"/paper/1610.06929","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:32b4fdcd3c67a5050ef33dbadf1c92a59d13552cb3a814e361426d5c715056f0","observation_id":"1f207852-f68a-42c5-9864-a4a6073064b3","resolution":{"observed_at":"2026-08-14T12:51:47.156124Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1706.04616","last_updated":"2017-06-14T18:00:02Z","snapshot_observed_at":"2026-08-14T20:54:01.709613Z","submitted_at":"2017-06-14T18:00:02Z","title":"Gauge Backgrounds and Zero-Mode Counting in F-Theory","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1706.04616","snapshot_observed_at":"2026-08-14T12:51:46.313193Z","title":"Gauge Backgrounds and Zero-Mode Counting in F-Theory","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.313193Z"},"links":{"cited_paper":"/paper/1706.04616","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:a17f0c5aaf104735aa0581d2651503302d5d83dda4880985dac4d6598db8b843","observation_id":"9b11c6bb-07d4-4321-a17c-94ca07ab813d","resolution":{"observed_at":"2026-08-14T12:51:46.313193Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1706.08521","last_updated":"2018-01-22T17:06:48Z","snapshot_observed_at":"2026-08-14T20:51:33.542718Z","submitted_at":"2017-06-26T18:00:00Z","title":"The Global Gauge Group Structure of F-theory Compactification with U(1)s","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1706.08521","snapshot_observed_at":"2026-08-14T12:51:46.317511Z","title":"The Global Gauge Group Structure of F-theory Compactiﬁcation with U(1)s","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.317511Z"},"links":{"cited_paper":"/paper/1706.08521","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:46a9a303a0be6b330e88b6c6632aacdb3385d03cc211a43e0d09f06eb3b412c2","observation_id":"7449cf62-4c25-455d-a871-e91fd5b22aba","resolution":{"observed_at":"2026-08-14T12:51:46.317511Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1706.08528","last_updated":"2017-06-26T18:00:02Z","snapshot_observed_at":"2026-08-14T20:51:33.231382Z","submitted_at":"2017-06-26T18:00:02Z","title":"Algebraic Cycles and Local Anomalies in F-Theory","version":1},"cited_work":{"arxiv_id":"1706.08528","doi":null,"metadata_source":"pith","pith_arxiv_id":"1706.08528","snapshot_observed_at":"2026-08-14T12:51:47.108980Z","title":"Algebraic Cycles and Local Anomalies in F-Theory","venue":"hep-th","work_id":"e5d479ad-7c5b-4251-b8a1-65c0d9b58f9c","year":2017},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.321601Z"},"links":{"cited_paper":"/paper/1706.08528","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:82886a06ee169bd485494189e379b878bc3d2b9b4fcf440cdea597a8006d8b2c","observation_id":"5f0382f2-c272-4c69-8913-3d88a8edc4b7","resolution":{"observed_at":"2026-08-14T12:51:47.113558Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1712.08539","last_updated":"2018-04-17T14:04:28Z","snapshot_observed_at":"2026-08-14T20:00:45.742547Z","submitted_at":"2017-12-22T16:01:54Z","title":"Enhancements in F-theory models on moduli spaces of K3 surfaces with $ADE$ rank 17","version":3},"cited_work":{"arxiv_id":"1712.08539","doi":null,"metadata_source":"pith","pith_arxiv_id":"1712.08539","snapshot_observed_at":"2026-08-14T12:51:47.090705Z","title":"Enhancements in F-theory models on moduli spaces of K3 surfaces with $ADE$ rank 17","venue":"hep-th","work_id":"2ea67fcc-dee7-4c6b-ad66-d4e1576f2d2c","year":2017},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.325770Z"},"links":{"cited_paper":"/paper/1712.08539","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:7ace6ac197bdb189315835fafc4e43d0385d73bfa94e3bce506704e871026fa0","observation_id":"7b92a072-30c4-4aa6-8d35-ea19a76009fe","resolution":{"observed_at":"2026-08-14T12:51:47.095913Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1802.05195","last_updated":"2018-05-09T09:29:39Z","snapshot_observed_at":"2026-08-14T19:45:52.871151Z","submitted_at":"2018-02-14T16:33:04Z","title":"F-theory models on K3 surfaces with various Mordell-Weil ranks -constructions that use quadratic base change of rational elliptic surfaces","version":2},"cited_work":{"arxiv_id":"1802.05195","doi":null,"metadata_source":"pith","pith_arxiv_id":"1802.05195","snapshot_observed_at":"2026-08-14T12:51:47.073283Z","title":"F-theory models on K3 surfaces with various Mordell-Weil ranks -constructions that use quadratic base change of rational elliptic surfaces","venue":"hep-th","work_id":"deb44db2-adc1-4c46-8176-f33439a19dc2","year":2018},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.329762Z"},"links":{"cited_paper":"/paper/1802.05195","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:4afe37d747087000bbd9c1d84a87566402886babfb7b0bd7a02cb533673986f4","observation_id":"de73444b-217f-4088-b915-99c8d064ab17","resolution":{"observed_at":"2026-08-14T12:51:47.078024Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1803.07998","last_updated":"2018-03-23T17:38:45Z","snapshot_observed_at":"2026-08-14T19:33:54.094813Z","submitted_at":"2018-03-21T16:36:50Z","title":"6d SCFTs and U(1) Flavour Symmetries","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1803.07998","snapshot_observed_at":"2026-08-14T12:51:46.334007Z","title":"6d SCFTs and U(1) Flavour Symmetries","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.334007Z"},"links":{"cited_paper":"/paper/1803.07998","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:fe192ae429ae882abfb8d677fae4ac21bd18916bd4345403c0806e2788a53596","observation_id":"75eee53a-0baf-4930-9f70-0cc206342238","resolution":{"observed_at":"2026-08-14T12:51:46.334007Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1808.08001","last_updated":"2018-09-21T09:57:26Z","snapshot_observed_at":"2026-08-14T18:37:39.160131Z","submitted_at":"2018-08-24T04:22:15Z","title":"Non-Cartan Mordell-Weil lattices of rational elliptic surfaces and heterotic/F-theory compactifications","version":2},"cited_work":{"arxiv_id":"1808.08001","doi":null,"metadata_source":"pith","pith_arxiv_id":"1808.08001","snapshot_observed_at":"2026-08-14T12:51:47.044469Z","title":"Non-Cartan Mordell-Weil lattices of rational elliptic surfaces and heterotic/F-theory compactifications","venue":"hep-th","work_id":"a277f108-947b-4bf1-a3a8-a9af4ce25103","year":2018},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.338253Z"},"links":{"cited_paper":"/paper/1808.08001","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:1b329441c817d993eec169754d36c138a6d9c6da72f6e205d5936af12168b63e","observation_id":"37199572-b077-4af8-9584-978d379854eb","resolution":{"observed_at":"2026-08-14T12:51:47.048925Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1811.11777","last_updated":"2018-11-28T19:01:14Z","snapshot_observed_at":"2026-08-14T17:51:48.226261Z","submitted_at":"2018-11-28T19:01:14Z","title":"High U(1) charges in type IIB models and their F-theory lift","version":1},"cited_work":{"arxiv_id":"1811.11777","doi":null,"metadata_source":"pith","pith_arxiv_id":"1811.11777","snapshot_observed_at":"2026-08-14T12:51:47.027005Z","title":"High U(1) charges in type IIB models and their F-theory lift","venue":"hep-th","work_id":"491e9e76-d2b9-4a9f-996c-debef8b0762a","year":2018},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.342544Z"},"links":{"cited_paper":"/paper/1811.11777","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:21384d3fc76b3e6b3f6bc5c4e0a4acd65b0ad9d455ea2c55474bd24fae7d4e24","observation_id":"2a5206e7-23e8-4b92-851c-805894ee7b16","resolution":{"observed_at":"2026-08-14T12:51:47.031365Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1901.02012","last_updated":"2019-01-16T22:28:14Z","snapshot_observed_at":"2026-08-14T17:34:06.844753Z","submitted_at":"2019-01-07T19:00:01Z","title":"Generic matter representations in 6D supergravity theories","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1901.02012","snapshot_observed_at":"2026-08-14T12:51:46.346697Z","title":"Genericmatterrepresentationsin6Dsupergravitytheories","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.346697Z"},"links":{"cited_paper":"/paper/1901.02012","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:bca7df1fd08fc0d5eecfdd387144e0a25d9b04e55e2962af9cd8442f63d67a64","observation_id":"8187815f-4fab-46d2-9ec8-4e4ab876df67","resolution":{"observed_at":"2026-08-14T12:51:46.346697Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1903.03608","last_updated":"2021-04-28T08:56:38Z","snapshot_observed_at":"2026-08-15T17:55:59.955466Z","submitted_at":"2019-03-08T18:59:31Z","title":"F-theory models with 3 to 8 U(1) factors on K3 surfaces","version":2},"cited_work":{"arxiv_id":"1903.03608","doi":null,"metadata_source":"pith","pith_arxiv_id":"1903.03608","snapshot_observed_at":"2026-08-14T12:51:46.998646Z","title":"F-theory models with 3 to 8 U(1) factors on K3 surfaces","venue":"hep-th","work_id":"f67eaa9d-5280-40a8-9dd7-ee5d36665667","year":2019},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.350970Z"},"links":{"cited_paper":"/paper/1903.03608","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:b3f811adf58d6033712eb56b2c036bdfd9673081041bbe1836ccf2498d6f8af7","observation_id":"e7d15a8c-b053-4cf1-b3ff-528c43e80acc","resolution":{"observed_at":"2026-08-14T12:51:47.003355Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1905.12620","last_updated":"2019-05-29T17:59:56Z","snapshot_observed_at":"2026-08-14T16:24:16.823108Z","submitted_at":"2019-05-29T17:59:56Z","title":"The Geometry of SO(3), SO(5), and SO(6) models","version":1},"cited_work":{"arxiv_id":"1905.12620","doi":null,"metadata_source":"pith","pith_arxiv_id":"1905.12620","snapshot_observed_at":"2026-08-14T12:51:46.981605Z","title":"The Geometry of SO(3), SO(5), and SO(6) models","venue":"hep-th","work_id":"387de0c5-92d9-422d-9cdc-0a866fc18d8c","year":2019},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.355065Z"},"links":{"cited_paper":"/paper/1905.12620","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:9883b1b852d8c00282e251444bc37d5e15451349c6987226f463a0b91e055556","observation_id":"40ba723c-d0a2-4003-b1a7-bca53763eca3","resolution":{"observed_at":"2026-08-14T12:51:46.986002Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1905.13213","last_updated":"2019-05-30T17:55:36Z","snapshot_observed_at":"2026-08-14T16:23:35.144751Z","submitted_at":"2019-05-30T17:55:36Z","title":"Swampland Bounds on the Abelian Gauge Sector","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1905.13213","snapshot_observed_at":"2026-08-14T12:51:46.358970Z","title":"Swampland Bounds on the Abelian Gauge Sector","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.358970Z"},"links":{"cited_paper":"/paper/1905.13213","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:b57f1de37db756ca13788cbe1becd557bdc607896af985aaaf67a06a90b5c13e","observation_id":"d06779f2-c0d8-4b35-91fd-da06c7c9248d","resolution":{"observed_at":"2026-08-14T12:51:46.358970Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1510.04281","last_updated":"2015-10-14T20:16:18Z","snapshot_observed_at":"2026-08-14T22:27:49.359291Z","submitted_at":"2015-10-14T20:16:18Z","title":"The Arithmetic of Elliptic Fibrations in Gauge Theories on a Circle","version":1},"cited_work":{"arxiv_id":"1510.04281","doi":null,"metadata_source":"pith","pith_arxiv_id":"1510.04281","snapshot_observed_at":"2026-08-14T12:51:46.954031Z","title":"The Arithmetic of Elliptic Fibrations in Gauge Theories on a Circle","venue":"hep-th","work_id":"680f0c32-206c-44c3-a18e-53e4ceed3e56","year":2015},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.362682Z"},"links":{"cited_paper":"/paper/1510.04281","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:578dcf5b870b981727636867381fb342deec0862e746a9711eb9cf490eb98524","observation_id":"cbb14042-1e88-467c-b70e-62a83f12483c","resolution":{"observed_at":"2026-08-14T12:51:46.958869Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:51:46.366676Z","title":null,"venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.366676Z"},"links":{"citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:ded9d584189196b73bd99442f304e8051cc347abefba3bd257ee985291dbc4f4","observation_id":"89763ce2-9a53-4be1-a0c1-c7ba936a3df4","resolution":{"observed_at":"2026-08-14T12:51:46.366676Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0802.2969","last_updated":"2012-04-03T13:58:14Z","snapshot_observed_at":"2026-08-15T10:21:10.058345Z","submitted_at":"2008-02-21T20:51:14Z","title":"Model Building with F-Theory","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0802.2969","snapshot_observed_at":"2026-08-14T12:51:46.370586Z","title":"Model Building with F-Theory","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.370586Z"},"links":{"cited_paper":"/paper/0802.2969","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:e5ecc3b923a7961c3fa6e6d1e8988eb1f2110981b7b8fff3665771df405ac4e8","observation_id":"35e36d49-b29d-4e84-9e13-0d9509292166","resolution":{"observed_at":"2026-08-14T12:51:46.370586Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0802.3391","last_updated":"2008-11-18T01:22:07Z","snapshot_observed_at":"2026-08-15T10:20:46.949969Z","submitted_at":"2008-02-25T16:59:39Z","title":"GUTs and Exceptional Branes in F-theory - I","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0802.3391","snapshot_observed_at":"2026-08-14T12:51:46.374741Z","title":"GUTs and Exceptional Branes in F-theory -I","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.374741Z"},"links":{"cited_paper":"/paper/0802.3391","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:0333a6dd14fd8100c7bc9df5cd85c92e8a35d4823569f3b0dfc1679a8925ee6a","observation_id":"7a638eda-fcc8-4137-842e-dd0c6af31a6f","resolution":{"observed_at":"2026-08-14T12:51:46.374741Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0806.0102","last_updated":"2009-01-31T03:44:16Z","snapshot_observed_at":"2026-08-15T10:14:11.736099Z","submitted_at":"2008-06-02T10:52:50Z","title":"GUTs and Exceptional Branes in F-theory - II: Experimental Predictions","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0806.0102","snapshot_observed_at":"2026-08-14T12:51:46.378713Z","title":"GUTs and Exceptional Branes in F-theory - II: Experimental Predictions","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.378713Z"},"links":{"cited_paper":"/paper/0806.0102","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:691b35c62ef3fd1d1fa875b87c186184b78cbf554b42d98f71aa10239450e1fd","observation_id":"78a29481-9de8-473a-baf7-66d2ec6b3c34","resolution":{"observed_at":"2026-08-14T12:51:46.378713Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0808.2223","last_updated":"2013-12-26T22:43:50Z","snapshot_observed_at":"2026-08-15T10:08:47.945466Z","submitted_at":"2008-08-17T16:50:00Z","title":"Breaking GUT Groups in F-Theory","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0808.2223","snapshot_observed_at":"2026-08-14T12:51:46.383139Z","title":"Breaking GUT Groups in F-Theory","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.383139Z"},"links":{"cited_paper":"/paper/0808.2223","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:39884980f3b19282ff1d2aaa173663c8ec8c647ddcb2a7a7e425d6dea2495201","observation_id":"750e625e-aa93-4945-9c9c-5ae8e4231c08","resolution":{"observed_at":"2026-08-14T12:51:46.383139Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9605053","last_updated":"1996-05-08T08:55:48Z","snapshot_observed_at":"2026-07-07T05:10:43.702296Z","submitted_at":"1996-05-08T08:55:48Z","title":"M-Theory on Eight-Manifolds","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9605053","snapshot_observed_at":"2026-08-14T12:51:46.387396Z","title":"M theory on eight manifolds","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.387396Z"},"links":{"cited_paper":"/paper/hep-th/9605053","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:6c5ce1c202c87280bdfa0718960e905cb2659572989acd641293aacea25dc65a","observation_id":"3603f307-0885-4403-b9f8-9cab254e1389","resolution":{"observed_at":"2026-08-14T12:51:46.387396Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9606122","last_updated":"1996-06-19T20:56:29Z","snapshot_observed_at":"2026-07-07T05:11:01.954484Z","submitted_at":"1996-06-19T20:56:29Z","title":"Constraints on Low-Dimensional String Compactifications","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9606122","snapshot_observed_at":"2026-08-14T12:51:46.391528Z","title":"Constraints on low dimensional string compactiﬁca- tions","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":84,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.391528Z"},"links":{"cited_paper":"/paper/hep-th/9606122","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:7d9d03c2a58a3ddf1269888b136910baeb55ebf60ce764114ffbe69bc8335b13","observation_id":"0fe553d9-28d5-4aad-8674-00d0cb84754d","resolution":{"observed_at":"2026-08-14T12:51:46.391528Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9609122","last_updated":"1996-10-18T15:14:33Z","snapshot_observed_at":"2026-07-07T05:11:42.559520Z","submitted_at":"1996-09-16T14:08:03Z","title":"On Flux Quantization In M-Theory And The Effective Action","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9609122","snapshot_observed_at":"2026-08-14T12:51:46.395472Z","title":"On ﬂux quantization in M theory and the eﬀective action","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.395472Z"},"links":{"cited_paper":"/paper/hep-th/9609122","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:0499514e9791f2f860e6d8b28d7c00ad0a13771d81405995c842d252da5e60d2","observation_id":"c3d6e05f-a7b4-4f92-be78-aad88e1a2a60","resolution":{"observed_at":"2026-08-14T12:51:46.395472Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9906070","last_updated":"2001-03-12T07:22:50Z","snapshot_observed_at":"2026-08-12T15:58:37.939037Z","submitted_at":"1999-06-09T14:45:45Z","title":"CFT's From Calabi-Yau Four-folds","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9906070","snapshot_observed_at":"2026-08-14T12:51:46.399886Z","title":"CFT’s from Calabi-Yau four folds","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.399886Z"},"links":{"cited_paper":"/paper/hep-th/9906070","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:0c52d072f48bc37aee4d438c1be652f140b99c22d6976873dcdd42ccd00aa129","observation_id":"a3c76779-2421-415e-92ef-48f1a117b89c","resolution":{"observed_at":"2026-08-14T12:51:46.399886Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9908088","last_updated":"2001-09-25T02:26:18Z","snapshot_observed_at":"2026-07-07T05:20:35.853898Z","submitted_at":"1999-08-12T15:27:09Z","title":"M Theory, Orientifolds and G-Flux","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9908088","snapshot_observed_at":"2026-08-14T12:51:46.404164Z","title":"M theory, orientifolds and G-ﬂux","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":87,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.404164Z"},"links":{"cited_paper":"/paper/hep-th/9908088","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:23569342badc6407f69f5312a1d45d0e1b2964b5caf83006d0fb6be204854100","observation_id":"3e008d2b-8e63-4539-abd2-b8574c5ab499","resolution":{"observed_at":"2026-08-14T12:51:46.404164Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1006.0483","last_updated":"2011-03-17T19:28:32Z","snapshot_observed_at":"2026-08-15T05:17:29.314013Z","submitted_at":"2010-06-02T20:00:02Z","title":"A Note on G-Fluxes for F-theory Model Building","version":2},"cited_work":{"arxiv_id":"1006.0483","doi":null,"metadata_source":"pith","pith_arxiv_id":"1006.0483","snapshot_observed_at":"2026-08-14T12:51:46.832924Z","title":"A Note on G-Fluxes for F-theory Model Building","venue":"hep-th","work_id":"306f43e4-83a0-4bc2-b69c-4bc628cc58a8","year":2010},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":88,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.408360Z"},"links":{"cited_paper":"/paper/1006.0483","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:9efdbfdc8f76fb4a004978323e77dafb2bc7d866a262c18b0f83ce4640a5b926","observation_id":"fa41a0d8-c911-46e7-b266-c4b9c957beee","resolution":{"observed_at":"2026-08-14T12:51:46.837813Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1011.6388","last_updated":"2012-03-20T20:03:01Z","snapshot_observed_at":"2026-08-15T05:01:39.629193Z","submitted_at":"2010-11-29T21:06:55Z","title":"On Flux Quantization in F-Theory","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1011.6388","snapshot_observed_at":"2026-08-14T12:51:46.412356Z","title":"On Flux Quantization in F-Theory","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":89,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.412356Z"},"links":{"cited_paper":"/paper/1011.6388","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:540d7867232779dcb375b415273fa59a330418d0b628f17b0477ea4cabc007e4","observation_id":"d3541e88-f9f2-4ce9-b271-2c59b564fcd2","resolution":{"observed_at":"2026-08-14T12:51:46.412356Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1107.1718","last_updated":"2011-09-22T17:10:13Z","snapshot_observed_at":"2026-08-15T04:41:37.087014Z","submitted_at":"2011-07-08T20:00:06Z","title":"On G-flux, M5 instantons, and U(1)s in F-theory","version":2},"cited_work":{"arxiv_id":"1107.1718","doi":null,"metadata_source":"pith","pith_arxiv_id":"1107.1718","snapshot_observed_at":"2026-08-14T12:51:46.804358Z","title":"On G-flux, M5 instantons, and U(1)s in F-theory","venue":"hep-th","work_id":"3cf02409-01e7-43b7-a15f-adb4d3213589","year":2011},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":90,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.417299Z"},"links":{"cited_paper":"/paper/1107.1718","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:9162f29c739bb33a7766f18f645b92ef2665eec727fef533865bbd945be6e715","observation_id":"3f73dd28-824e-4256-b078-19bba95c9898","resolution":{"observed_at":"2026-08-14T12:51:46.808565Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1107.5337","last_updated":"2012-02-26T12:14:07Z","snapshot_observed_at":"2026-08-15T04:39:51.561887Z","submitted_at":"2011-07-26T21:14:21Z","title":"G-flux in F-theory and algebraic cycles","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1107.5337","snapshot_observed_at":"2026-08-14T12:51:46.421028Z","title":"G-ﬂux in F-theory and algebraic cycles","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":91,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.421028Z"},"links":{"cited_paper":"/paper/1107.5337","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:4d356ac5fbfe9e0b8e77e7f42d4bc446750b8092c7a76afd640a4cc9aa7a8bc8","observation_id":"8523d4be-6c50-4391-b666-f28d7f40b7c8","resolution":{"observed_at":"2026-08-14T12:51:46.421028Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1108.1794","last_updated":"2011-08-08T20:00:02Z","snapshot_observed_at":"2026-08-15T04:38:45.417244Z","submitted_at":"2011-08-08T20:00:02Z","title":"Yukawas, G-flux, and Spectral Covers from Resolved Calabi-Yau's","version":1},"cited_work":{"arxiv_id":"1108.1794","doi":null,"metadata_source":"pith","pith_arxiv_id":"1108.1794","snapshot_observed_at":"2026-08-14T12:51:46.776174Z","title":"Yukawas, G-flux, and Spectral Covers from Resolved Calabi-Yau's","venue":"hep-th","work_id":"a5615794-8ac4-42ff-b0ab-210444768771","year":2011},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":92,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.425111Z"},"links":{"cited_paper":"/paper/1108.1794","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:cefca9e19bf0759140f842d283d69e48898768c47be4f8510cd6bb7f22971b6a","observation_id":"51e9759a-e332-43d8-b1e5-e6a5c79ee579","resolution":{"observed_at":"2026-08-14T12:51:46.780857Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1109.3454","last_updated":"2011-10-27T18:41:22Z","snapshot_observed_at":"2026-08-15T04:35:06.890413Z","submitted_at":"2011-09-15T20:00:03Z","title":"G_4 flux, chiral matter and singularity resolution in F-theory compactifications","version":2},"cited_work":{"arxiv_id":"1109.3454","doi":null,"metadata_source":"pith","pith_arxiv_id":"1109.3454","snapshot_observed_at":"2026-08-14T12:51:46.758576Z","title":"G_4 flux, chiral matter and singularity resolution in F-theory compactifications","venue":"hep-th","work_id":"174065e3-fd9e-4a98-ba79-a2357446702d","year":2011},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":93,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.428998Z"},"links":{"cited_paper":"/paper/1109.3454","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:e78f748fdb0b550e99fe306dd878bf57c2f05c64087617978700787829183a63","observation_id":"01da7649-6e52-4862-aac3-d0bed13bfd9d","resolution":{"observed_at":"2026-08-14T12:51:46.763766Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1111.1232","last_updated":"2012-02-09T16:30:46Z","snapshot_observed_at":"2026-08-15T04:29:53.424854Z","submitted_at":"2011-11-04T20:00:02Z","title":"F-theory fluxes, Chirality and Chern-Simons theories","version":2},"cited_work":{"arxiv_id":"1111.1232","doi":null,"metadata_source":"pith","pith_arxiv_id":"1111.1232","snapshot_observed_at":"2026-08-14T12:51:46.740458Z","title":"F-theory fluxes, Chirality and Chern-Simons theories","venue":"hep-th","work_id":"17976ac8-a37d-40ab-90e4-e4588395accd","year":2011},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":94,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.433412Z"},"links":{"cited_paper":"/paper/1111.1232","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:59811ef6d0515326c87e2564372e4410033c0ec5694178cf1d59e3e666741f5f","observation_id":"f83e4ad3-64d6-42a1-b744-f060abf23bac","resolution":{"observed_at":"2026-08-14T12:51:46.745242Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1202.3138","last_updated":"2012-08-23T14:34:34Z","snapshot_observed_at":"2026-08-15T04:19:16.971459Z","submitted_at":"2012-02-14T21:00:00Z","title":"Gauge Fluxes in F-theory and Type IIB Orientifolds","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1202.3138","snapshot_observed_at":"2026-08-14T12:51:46.437632Z","title":"Gauge Fluxes in F-theory and Type IIB Orientifolds","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":95,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.437632Z"},"links":{"cited_paper":"/paper/1202.3138","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:7b26d82959d27013db77fb8612a3d6acebb6d13b5524fe371b4349ebcf15ae87","observation_id":"856da6f8-5afb-4d7d-81d9-1b1d409f4590","resolution":{"observed_at":"2026-08-14T12:51:46.437632Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1203.6662","last_updated":"2012-05-30T06:48:07Z","snapshot_observed_at":"2026-08-15T04:14:32.974084Z","submitted_at":"2012-03-29T20:21:54Z","title":"Conifold Transitions in M-theory on Calabi-Yau Fourfolds with Background Fluxes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1203.6662","snapshot_observed_at":"2026-08-14T12:51:46.441776Z","title":"Conifold Transi- tions in M-theory on Calabi-Yau Fourfolds with Background Fluxes","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":96,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.441776Z"},"links":{"cited_paper":"/paper/1203.6662","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:2f53ca5ee46754762f59fd9f39a40a80182a9e7e4fabedf2c24aae97fbeb2326","observation_id":"cb1e245d-e58c-4a7c-b847-372afabf6968","resolution":{"observed_at":"2026-08-14T12:51:46.441776Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1205.5688","last_updated":"2012-05-25T13:07:30Z","snapshot_observed_at":"2026-08-15T00:58:58.362079Z","submitted_at":"2012-05-25T13:07:30Z","title":"G-flux and Spectral Divisors","version":1},"cited_work":{"arxiv_id":"1205.5688","doi":null,"metadata_source":"pith","pith_arxiv_id":"1205.5688","snapshot_observed_at":"2026-08-14T12:51:46.694317Z","title":"G-flux and Spectral Divisors","venue":"hep-th","work_id":"10ae7a6f-1f4c-482e-b68a-a06f3f719ba4","year":2012},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":97,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.445549Z"},"links":{"cited_paper":"/paper/1205.5688","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:974230665fa397eb75e73de312ea562347eab678a998093d928b94a48847bd21","observation_id":"93686c2b-1be5-4fda-916b-3cc049461c3f","resolution":{"observed_at":"2026-08-14T12:51:46.699365Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1210.6034","last_updated":"2012-11-16T20:30:51Z","snapshot_observed_at":"2026-08-15T00:42:12.717170Z","submitted_at":"2012-10-22T20:00:01Z","title":"Anomaly Cancellation And Abelian Gauge Symmetries In F-theory","version":2},"cited_work":{"arxiv_id":"1210.6034","doi":null,"metadata_source":"pith","pith_arxiv_id":"1210.6034","snapshot_observed_at":"2026-08-14T12:51:46.674916Z","title":"Anomaly Cancellation And Abelian Gauge Symmetries In F-theory","venue":"hep-th","work_id":"226e779d-bfc7-4dab-9a42-7366cd154e9a","year":2012},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":98,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.449623Z"},"links":{"cited_paper":"/paper/1210.6034","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:22736e584c1fdd8ea0348f771f9b971879276eb06360119f8bb040ec7d635e4d","observation_id":"dac07767-e985-4136-8fd3-7d7e37d97c9c","resolution":{"observed_at":"2026-08-14T12:51:46.680127Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1402.4096","last_updated":"2014-02-17T19:04:42Z","snapshot_observed_at":"2026-08-14T23:44:22.055877Z","submitted_at":"2014-02-17T19:04:42Z","title":"Hypercharge flux in F-theory and the stable Sen limit","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1402.4096","snapshot_observed_at":"2026-08-14T12:51:46.453582Z","title":"Hypercharge ﬂux in F-theory and the stable Sen limit","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":99,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.453582Z"},"links":{"cited_paper":"/paper/1402.4096","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:8e404fe55e97ba4488e4193976472596ba54d9b6652946f22c1c6755258b74b3","observation_id":"0f479236-dbac-4d26-bdd5-7ffad732a9af","resolution":{"observed_at":"2026-08-14T12:51:46.453582Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1601.02015","last_updated":"2017-01-06T18:33:11Z","snapshot_observed_at":"2026-08-14T22:15:22.569986Z","submitted_at":"2016-01-08T21:00:00Z","title":"F-theory and 2d (0,2) Theories","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1601.02015","snapshot_observed_at":"2026-08-14T12:51:46.457840Z","title":"F-theory and 2d (0,2) Theories","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups","version":3},"reference_index":100,"source":"pdf_text","source_observed_at":"2026-08-14T12:51:46.457840Z"},"links":{"cited_paper":"/paper/1601.02015","citing_paper":"/paper/1908.06621"},"observation_digest":"sha256:93492877102551bda5a215a7b83bd082d1e9a5e4b1413c59e2f581715eab010c","observation_id":"789cb59d-035d-4544-83ac-7ab30d90fa53","resolution":{"observed_at":"2026-08-14T12:51:46.457840Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"1908.06621","last_updated":"2019-12-18T09:24:42Z","latest_version":3,"primary_category":"hep-th","snapshot_observed_at":"2026-08-15T17:57:58.469871Z","submitted_at":"2019-08-19T07:26:54Z","title":"F-theory models with $U(1)\\times \\mathbb{Z}_2,\\, \\mathbb{Z}_4$ and transitions in discrete gauge groups"},"reference_resolution":{"displayed":100,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":56,"verified_exact":44,"verified_fuzzy":0},"total_outbound_references":112},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 15 August 2026, this Paper Citation Record lists 100 of 112 outbound references and 0 inbound Pith citation observations for arXiv:1908.06621."}