{"as_of":"2026-08-12T04:22:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:717636efb0005fe135dfb4c7134045943121b057a0ceed6c2ba874e8215474a9","coverage":[{"denominator":65,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":65,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T23:55:23.468683Z","state":"measured"},{"denominator":67,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":67,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-04T08:41:22.483264Z","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":[{"citation":{"cited_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.19887","snapshot_observed_at":"2026-08-04T08:41:22.483264Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2510.19812","last_updated":"2026-07-30T14:13:25Z","snapshot_observed_at":"2026-08-08T08:50:44.655651Z","submitted_at":"2025-10-22T17:49:12Z","title":"Non-Abelian Symmetry Operators from Hanging Branes in $AdS_5 \\times S^5$","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-04T08:41:22.483264Z"},"links":{"cited_paper":"/paper/2412.19887","citing_paper":"/paper/2510.19812"},"observation_digest":"sha256:3fc0acc5211c4e99d67f59aeac9bb5f7572d9f5c927fbfdd21d24d944a9c233b","observation_id":"84dd6ca8-9527-4fc2-b64e-6f7e33af084f","resolution":{"observed_at":"2026-08-04T08:41:22.483264Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.19887","snapshot_observed_at":"2026-08-02T20:50:05.903977Z","title":"Christensen,Holography and discrete theta angles for disconnected gauge groups, 2412.19887","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2602.22377","last_updated":"2026-07-30T13:34:47Z","snapshot_observed_at":"2026-08-10T02:30:37.638833Z","submitted_at":"2026-02-25T20:20:36Z","title":"Continuous symmetries and charge measurement of boundary operators in holography","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-02T20:50:05.903977Z"},"links":{"cited_paper":"/paper/2412.19887","citing_paper":"/paper/2602.22377"},"observation_digest":"sha256:320a8b9f28d96bb7ed6e0516a651507216ebccbdd9d92212d9750d7afcc800f4","observation_id":"78408a45-6d14-4da6-9394-91c820f3c92c","resolution":{"observed_at":"2026-08-02T20:50:05.903977Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2412.19887/citation-record","integrity":"/paper/2412.19887/integrity","json":"/paper/2412.19887/citation-record.json","paper":"/paper/2412.19887"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:55:24.632805Z","title":"Witten, Baryons and branes in anti de sitter space , Journal of High Energy Physics 1998 (July, 1998) 006–006","venue":null,"work_id":"9c15d60d-81c0-4cc6-93b1-4a74f43b1c73","year":1998},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.222332Z"},"links":{"citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:df7471d27747449031b1da13d8ef949788725cf5a032675c74fbc98b3e7a2753","observation_id":"89e55c57-5985-4476-a8e4-a00bc2fa5929","resolution":{"observed_at":"2026-08-10T23:55:24.636795Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1006.0146","last_updated":"2012-10-06T22:43:36Z","snapshot_observed_at":"2026-08-06T18:03:24.536613Z","submitted_at":"2010-06-01T15:00:54Z","title":"Framed BPS States","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1006.0146","snapshot_observed_at":"2026-08-10T23:55:23.227310Z","title":"Gaiotto, G","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.227310Z"},"links":{"cited_paper":"/paper/1006.0146","citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:eea9791b594e352711624146be2d6fc76c57c862d877e13f5a9e42f80c44a84c","observation_id":"4ceed638-92c1-404e-a32c-eb1929aee7b1","resolution":{"observed_at":"2026-08-10T23:55:23.227310Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1305.0318","last_updated":"2022-12-26T03:00:08Z","snapshot_observed_at":"2026-08-10T13:58:11.374283Z","submitted_at":"2013-05-02T00:16:01Z","title":"Reading between the lines of four-dimensional gauge theories","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1305.0318","snapshot_observed_at":"2026-08-10T23:55:23.232010Z","title":"Aharony, N","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.232010Z"},"links":{"cited_paper":"/paper/1305.0318","citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:2d637a095c9e3a39ae01db46f496f03b2f8278f7e34ae72b0ce5cef3be8cc01a","observation_id":"9421fbd1-ed22-460a-b8c3-87fdbed401f5","resolution":{"observed_at":"2026-08-10T23:55:23.232010Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:55:24.620771Z","title":"Bergman and S","venue":null,"work_id":"63ebc724-57c7-4280-a2b3-58e7ee4483f4","year":2022},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.236405Z"},"links":{"citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:cad11d274295f1314c1c97fe0c3f880c9ffa98e7a6e4353b8a0145ce9d75a769","observation_id":"5349fd78-7ad9-473f-b746-74357dc1bc30","resolution":{"observed_at":"2026-08-10T23:55:24.624562Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2302.14068","last_updated":"2023-02-27T19:00:01Z","snapshot_observed_at":"2026-08-11T16:31:13.089055Z","submitted_at":"2023-02-27T19:00:01Z","title":"Branes and symmetries for $\\mathcal N=3$ S-folds","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.14068","snapshot_observed_at":"2026-08-10T23:55:23.239888Z","title":"Etheredge, I","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.239888Z"},"links":{"cited_paper":"/paper/2302.14068","citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:05dfdbd100b77eb622517b18a8415ec16ed98bf0b33175f3408b1c6a74b3208f","observation_id":"0ec40f0e-d664-4d42-b639-2b2688322830","resolution":{"observed_at":"2026-08-10T23:55:23.239888Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:55:24.609501Z","title":"Hsin and H","venue":null,"work_id":"43c08126-ee94-4b23-9384-4533d1eb9d77","year":2021},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.243825Z"},"links":{"citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:a3c6888c899605d5f2f010867673f014cf6ae4e3f592d3a2863f9b94eebcc1d5","observation_id":"c8e605a2-e4e4-427a-b2c8-fd15978c49a4","resolution":{"observed_at":"2026-08-10T23:55:24.613209Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2008.05960","last_updated":"2020-08-13T15:09:01Z","snapshot_observed_at":"2026-08-07T21:58:18.455755Z","submitted_at":"2020-08-13T15:09:01Z","title":"Orbifold groupoids","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2008.05960","snapshot_observed_at":"2026-08-10T23:55:23.247531Z","title":"Gaiotto and J","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.247531Z"},"links":{"cited_paper":"/paper/2008.05960","citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:50afdb48a2d106d2c91a777f3e7694a36557232b7f01a94c5383d32d7611afba","observation_id":"47db2c0f-487a-4ab8-ac23-2d53b6678db9","resolution":{"observed_at":"2026-08-10T23:55:23.247531Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2112.02092","last_updated":"2022-06-15T12:55:54Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2021-12-03T18:57:48Z","title":"Symmetry TFTs from String Theory","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2112.02092","snapshot_observed_at":"2026-08-10T23:55:23.251374Z","title":"Apruzzi, F","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.251374Z"},"links":{"cited_paper":"/paper/2112.02092","citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:43ad47c2acaf4c01a5e04c887577b47b7a45519c3156f1c244d302a4898b1c6c","observation_id":"a31813f3-0b1d-41d1-968d-559d373c9d84","resolution":{"observed_at":"2026-08-10T23:55:23.251374Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2209.07471","last_updated":"2024-07-31T17:27:01Z","snapshot_observed_at":"2026-08-08T06:31:17.264290Z","submitted_at":"2022-09-15T17:10:11Z","title":"Topological symmetry in quantum field theory","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2209.07471","snapshot_observed_at":"2026-08-10T23:55:23.256369Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.256369Z"},"links":{"cited_paper":"/paper/2209.07471","citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:1f9bdc28e946fb6057f3250860f3904d706b1dc8dad3d9529165c81c0f78d55a","observation_id":"0fa49281-2919-48c2-b429-6f0d261819bd","resolution":{"observed_at":"2026-08-10T23:55:23.256369Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2208.07508","last_updated":"2022-08-16T02:45:19Z","snapshot_observed_at":"2026-08-07T02:58:15.618513Z","submitted_at":"2022-08-16T02:45:19Z","title":"Branes and Non-Invertible Symmetries","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2208.07508","snapshot_observed_at":"2026-08-10T23:55:23.260649Z","title":"Garc ´ ıa Etxebarria,Branes and Non-Invertible Symmetries , Fortsch","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.260649Z"},"links":{"cited_paper":"/paper/2208.07508","citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:a219b5f56d4bf98fa97c3505fe9ddd09335cc31fc3e80feb90ec77f7b11905b1","observation_id":"8dfcc7bd-1167-42ab-a854-204129002e82","resolution":{"observed_at":"2026-08-10T23:55:23.260649Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2208.07373","last_updated":"2023-05-29T16:54:26Z","snapshot_observed_at":"2026-08-07T03:39:29.873173Z","submitted_at":"2022-08-15T18:00:00Z","title":"Non-Invertible Symmetries from Holography and Branes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2208.07373","snapshot_observed_at":"2026-08-10T23:55:23.264664Z","title":"Apruzzi, I","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.264664Z"},"links":{"cited_paper":"/paper/2208.07373","citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:88331891857d78a1b26b906c0c63dc035dc1e7655a4b29f5f5dff3e6e4006b2a","observation_id":"aa428374-d2de-4bc6-a00b-968e9f2b89fc","resolution":{"observed_at":"2026-08-10T23:55:23.264664Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2209.03343","last_updated":"2023-08-08T03:45:16Z","snapshot_observed_at":"2026-08-07T02:58:23.017873Z","submitted_at":"2022-09-07T17:59:01Z","title":"The Branes Behind Generalized Symmetry Operators","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2209.03343","snapshot_observed_at":"2026-08-10T23:55:23.268362Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.268362Z"},"links":{"cited_paper":"/paper/2209.03343","citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:f80a6755e4dee4b3d6fb9e3b857c0a121c5fbde3644914d38dc3bd06b1d4e536","observation_id":"1dca07b8-a958-4b0a-a580-4dea8cfcafef","resolution":{"observed_at":"2026-08-10T23:55:23.268362Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1412.5148","last_updated":"2015-01-10T00:26:47Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2014-12-16T20:10:29Z","title":"Generalized Global Symmetries","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1412.5148","snapshot_observed_at":"2026-08-10T23:55:23.272264Z","title":"Gaiotto, A","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.272264Z"},"links":{"cited_paper":"/paper/1412.5148","citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:7205f4b5ce439be83c446f203df31d07afdf2c2f66aa4e21a792c9b0138377ce","observation_id":"5ad7ddc9-237e-43a9-a082-3559b497e878","resolution":{"observed_at":"2026-08-10T23:55:23.272264Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:55:24.599115Z","title":"Sharpe, Notes on generalized global symmetries in qft , Fortschritte der Physik 63 (Sept.,","venue":null,"work_id":"40c117bb-13cd-4eb3-8ede-a0c4a380be5c","year":null},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.277094Z"},"links":{"citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:cf037f0a285f332e07342056f18d0bb4db17c940464b5e6c9bb5e9a5a5da51f7","observation_id":"48024a27-aaf7-4f55-b26a-71766edea7ee","resolution":{"observed_at":"2026-08-10T23:55:24.602628Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1712.09542","last_updated":"2019-12-23T04:21:48Z","snapshot_observed_at":"2026-07-06T06:16:14.040839Z","submitted_at":"2017-12-27T10:47:17Z","title":"On gauging finite subgroups","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1712.09542","snapshot_observed_at":"2026-08-10T23:55:23.281161Z","title":"Tachikawa, On gauging finite subgroups , SciPost Phys","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.281161Z"},"links":{"cited_paper":"/paper/1712.09542","citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:0d8e2d192c43915d34a36abb1ad121c375ee58c74ebda235f00bcdd0f177f158","observation_id":"a3809a3d-1914-43f5-889c-453a9b5b0da2","resolution":{"observed_at":"2026-08-10T23:55:23.281161Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1803.09336","last_updated":"2019-03-26T21:18:19Z","snapshot_observed_at":"2026-08-10T08:40:37.510102Z","submitted_at":"2018-03-25T20:44:33Z","title":"On 2-Group Global Symmetries and Their Anomalies","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1803.09336","snapshot_observed_at":"2026-08-10T23:55:23.285207Z","title":"Benini, C","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.285207Z"},"links":{"cited_paper":"/paper/1803.09336","citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:0a0f0a52ea5fa6fa423e3d3a61cefb312a65d732e86fd851cef916b09db92c80","observation_id":"131f5a68-9b4a-4b88-aeec-7bcc38d7caa7","resolution":{"observed_at":"2026-08-10T23:55:23.285207Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2107.06816","last_updated":"2021-07-14T16:21:52Z","snapshot_observed_at":"2026-08-11T00:03:40.632828Z","submitted_at":"2021-07-14T16:21:52Z","title":"2-Group Symmetries in Class S","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2107.06816","snapshot_observed_at":"2026-08-10T23:55:23.289194Z","title":"Bhardwaj, 2-Group Symmetries in Class S , arXiv:2107.06816","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.289194Z"},"links":{"cited_paper":"/paper/2107.06816","citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:8c650974cc17876f3ebacbc93cb36b2e7dc79626395bd1e3d43733f5dc82ec97","observation_id":"f565a183-992e-4bae-ac18-f5101e2985a5","resolution":{"observed_at":"2026-08-10T23:55:23.289194Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2203.10097","last_updated":"2022-09-01T23:14:00Z","snapshot_observed_at":"2026-08-10T11:11:53.459085Z","submitted_at":"2022-03-18T18:00:00Z","title":"2-Group Symmetries and M-Theory","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2203.10097","snapshot_observed_at":"2026-08-10T23:55:23.293266Z","title":"Del Zotto, I","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.293266Z"},"links":{"cited_paper":"/paper/2203.10097","citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:3ceab7f3f56425caeaf2f2df7e56f77b3ba9461e2034021b1e3a06edef69c81a","observation_id":"ad909440-c16f-43d6-9026-0b0b0e5b5817","resolution":{"observed_at":"2026-08-10T23:55:23.293266Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.08724","last_updated":"2022-01-05T18:34:15Z","snapshot_observed_at":"2026-08-12T01:01:44.167408Z","submitted_at":"2021-05-18T18:00:00Z","title":"The Global Form of Flavor Symmetries and 2-Group Symmetries in 5d SCFTs","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.08724","snapshot_observed_at":"2026-08-10T23:55:23.297744Z","title":"Apruzzi, L","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.297744Z"},"links":{"cited_paper":"/paper/2105.08724","citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:96ea44ee8a520355add20a2c93a90d2552d74d5da2cd385daa892a6bbc23a800","observation_id":"f30944a7-ff9e-46ca-9b69-c8215ef8f30d","resolution":{"observed_at":"2026-08-10T23:55:23.297744Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2104.07036","last_updated":"2021-09-03T03:15:07Z","snapshot_observed_at":"2026-08-09T07:00:50.744407Z","submitted_at":"2021-04-14T18:00:01Z","title":"Non-Invertible Global Symmetries and Completeness of the Spectrum","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2104.07036","snapshot_observed_at":"2026-08-10T23:55:23.301692Z","title":"Heidenreich, J","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.301692Z"},"links":{"cited_paper":"/paper/2104.07036","citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:830d9a0d2eb5eabc9f712c777ecbc4439456cdf8babfb0f6a517d33034540ce5","observation_id":"4ea18ece-7c6f-4aa7-8fac-1cd2de647b36","resolution":{"observed_at":"2026-08-10T23:55:23.301692Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2111.01141","last_updated":"2022-04-17T04:03:18Z","snapshot_observed_at":"2026-08-10T17:16:14.667659Z","submitted_at":"2021-11-01T18:00:00Z","title":"Kramers-Wannier-like duality defects in (3+1)d gauge theories","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2111.01141","snapshot_observed_at":"2026-08-10T23:55:23.305638Z","title":"Kaidi, K","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.305638Z"},"links":{"cited_paper":"/paper/2111.01141","citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:bebb408e82f1064ff479be6db9ecab15a08dbe379806e1bc0ed54b8d9420615c","observation_id":"df53e26e-b789-4d8d-b693-5d6a6e0966f5","resolution":{"observed_at":"2026-08-10T23:55:23.305638Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2111.01139","last_updated":"2022-05-04T18:41:17Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2021-11-01T18:00:00Z","title":"Non-Invertible Duality Defects in 3+1 Dimensions","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2111.01139","snapshot_observed_at":"2026-08-10T23:55:23.309558Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.309558Z"},"links":{"cited_paper":"/paper/2111.01139","citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:6d1f9ab8506480131bc6c5943295ec99291375bdaa65d21ce42aaedb15862c5b","observation_id":"31e68302-466a-4a15-ad02-0cf2e4ebd8cd","resolution":{"observed_at":"2026-08-10T23:55:23.309558Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:55:24.589666Z","title":"Cordova, P.-S","venue":null,"work_id":"ab958bd8-4f83-418f-9bfe-46c8f788b56e","year":2018},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.313185Z"},"links":{"citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:bc022a3ca10659f43be077b082d56d3c396bb95fc8d5b52a60f1a3a7a01105cd","observation_id":"95a6a7a1-036d-41c8-be1d-27ce7ff588a1","resolution":{"observed_at":"2026-08-10T23:55:24.592846Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:55:24.580074Z","title":"Bhardwaj, L","venue":null,"work_id":"f233b5cb-295d-4540-b439-91c9351a6815","year":2023},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.316845Z"},"links":{"citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:42f16ca34c2fdc4589eb8126b28223f8870c05e72dbdd230c2389b1f43a58c87","observation_id":"6f50b027-d4a6-4824-8200-767e0daa10da","resolution":{"observed_at":"2026-08-10T23:55:24.583171Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:55:24.570384Z","title":"Bartsch, M","venue":null,"work_id":"778a0000-e1ca-41cc-8026-da611b8b10ed","year":2024},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.320488Z"},"links":{"citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:a16fde941d68160f92f2d072137fa04a4cf40dccc353a82ba37a14d486ec9b04","observation_id":"4357b525-3a9b-4258-a64e-13ee3685fc24","resolution":{"observed_at":"2026-08-10T23:55:24.573674Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:55:24.559435Z","title":"Bartsch, M","venue":null,"work_id":"7ca2d3d9-ec66-4d86-a614-37b5087b3b13","year":2024},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.324929Z"},"links":{"citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:51e4b80f1c1bb7b65d76a5572a5357df8bfa023ad06d251ef2b18df286ad66ab","observation_id":"95094eef-a7d8-4965-8f7f-aa021515315e","resolution":{"observed_at":"2026-08-10T23:55:24.563647Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2412.00184","last_updated":"2025-01-07T08:59:03Z","snapshot_observed_at":"2026-08-09T18:20:21.466371Z","submitted_at":"2024-11-29T19:00:00Z","title":"String theory and the SymTFT of 3d orthosymplectic Chern-Simons theory","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.00184","snapshot_observed_at":"2026-08-10T23:55:23.328548Z","title":"Bergman and F","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.328548Z"},"links":{"cited_paper":"/paper/2412.00184","citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:932fc21b739071a50e0f710331794c205cf4cf48d96b20cadbb0e7e2b3f52218","observation_id":"883b2b5f-f59b-4d2f-bc48-0d8d32758b06","resolution":{"observed_at":"2026-08-10T23:55:23.328548Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.07842","last_updated":"2024-12-10T19:00:01Z","snapshot_observed_at":"2026-08-11T18:27:34.629226Z","submitted_at":"2024-12-10T19:00:01Z","title":"SymTFTs and Non-Invertible Symmetries of 6d (2,0) SCFTs of Type $D$ from M-theory","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.07842","snapshot_observed_at":"2026-08-10T23:55:23.332734Z","title":"Bonetti, M","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.332734Z"},"links":{"cited_paper":"/paper/2412.07842","citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:6b2953517ce6e7ae3f5a3bd17fe9377af7392c5560dae227cf15f7a226fd3e48","observation_id":"12273d81-389a-4769-b29c-deb880346a55","resolution":{"observed_at":"2026-08-10T23:55:23.332734Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.16028","last_updated":"2024-12-11T10:39:12Z","snapshot_observed_at":"2026-07-06T18:05:07.494681Z","submitted_at":"2024-04-24T17:57:37Z","title":"Some aspects of symmetry descent","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.16028","snapshot_observed_at":"2026-08-10T23:55:23.336492Z","title":"Garc ´ ıa Etxebarria and S","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.336492Z"},"links":{"cited_paper":"/paper/2404.16028","citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:2587140257ed8866fe5699917b4ee7924980010c622e063ff76ac88201aac364","observation_id":"84338c4e-7bb5-4be9-a823-1d6d86d0c67a","resolution":{"observed_at":"2026-08-10T23:55:23.336492Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9912279","last_updated":"1999-12-30T20:57:16Z","snapshot_observed_at":"2026-07-07T05:21:55.313864Z","submitted_at":"1999-12-30T20:57:16Z","title":"Self-Duality, Ramond-Ramond Fields, and K-Theory","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9912279","snapshot_observed_at":"2026-08-10T23:55:23.340048Z","title":null,"venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.340048Z"},"links":{"cited_paper":"/paper/hep-th/9912279","citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:75ba0345c36366dc46133b014a34be5e32a790fcceaf2984e347723990fd6341","observation_id":"d05d6527-072b-46d0-8125-f61c7bd79173","resolution":{"observed_at":"2026-08-10T23:55:23.340048Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0011220","last_updated":"2001-02-05T16:25:02Z","snapshot_observed_at":"2026-08-03T13:01:34.063538Z","submitted_at":"2000-11-24T12:18:40Z","title":"Dirac Charge Quantization and Generalized Differential Cohomology","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0011220","snapshot_observed_at":"2026-08-10T23:55:23.343656Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.343656Z"},"links":{"cited_paper":"/paper/hep-th/0011220","citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:478316ff2442237ca685fe9df44f4dda49f731d2a89460d165e35febf3edd81a","observation_id":"860eddae-b806-4e32-aa0a-33cc33fea519","resolution":{"observed_at":"2026-08-10T23:55:23.343656Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:55:24.549060Z","title":"Diaconescu, G","venue":null,"work_id":"79494b5b-b61f-45c3-aae9-af083d9f3848","year":2004},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.347300Z"},"links":{"citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:f9d358406581c65216610276058eed23ca212818b62a1102af6c4825bcdce595","observation_id":"c08eba3d-b88b-4b4f-a73e-5db5bd7c04d7","resolution":{"observed_at":"2026-08-10T23:55:24.552599Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0610328","last_updated":"2006-10-31T15:00:44Z","snapshot_observed_at":"2026-08-11T11:18:52.602953Z","submitted_at":"2006-10-31T15:00:44Z","title":"What Does(n't) K-theory Classify?","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0610328","snapshot_observed_at":"2026-08-10T23:55:23.350495Z","title":"Evslin, What does(n ’t) K-theory classify?, hep-th/0610328","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.350495Z"},"links":{"cited_paper":"/paper/hep-th/0610328","citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:e8f3a5fc1a14ff34d277b5253066aa1d46f95f7933ac397613f74d2b7501e42f","observation_id":"de51d58e-9ca8-41af-b3f1-6703832ea5d5","resolution":{"observed_at":"2026-08-10T23:55:23.350495Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:55:24.536255Z","title":"Cheeger and J","venue":null,"work_id":"cf22dfd2-78cb-4d2d-95a0-65e4426eccfe","year":1985},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.354103Z"},"links":{"citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:d8154a5dad2ce0256ed4f54f76a60ce65a8021dcf81ad7b6c52683bd3b73cb21","observation_id":"9c1354a6-a8e7-4908-8e6f-6dd6ed2fb4ca","resolution":{"observed_at":"2026-08-10T23:55:24.541755Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:55:24.524068Z","title":"B¨ ar and C","venue":null,"work_id":"f1895fda-93bf-487a-af9f-f8c3764e55b6","year":2014},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.357457Z"},"links":{"citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:547c94f56c77e12521936e4fb3e2ed0e9893f9132f165540b9e8d07f9448b0a2","observation_id":"02db5896-c1ce-4afc-b30f-3264b9c80b03","resolution":{"observed_at":"2026-08-10T23:55:24.528308Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0605200","last_updated":"2006-09-01T13:41:12Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2006-05-19T20:14:32Z","title":"Heisenberg Groups and Noncommutative Fluxes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0605200","snapshot_observed_at":"2026-08-10T23:55:23.360916Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.360916Z"},"links":{"cited_paper":"/paper/hep-th/0605200","citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:0a2026ead2a5fd034dd7978beab51f7165a1116ea8b5e484ecc48736ad2fb11b","observation_id":"bc4c2470-785c-423a-a0bd-09c83c1b916d","resolution":{"observed_at":"2026-08-10T23:55:23.360916Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"math/0211216","last_updated":"2005-08-24T13:29:09Z","snapshot_observed_at":"2026-07-07T05:32:21.443158Z","submitted_at":"2002-11-13T23:12:27Z","title":"Quadratic functions in geometry, topology,and M-theory","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"math/0211216","snapshot_observed_at":"2026-08-10T23:55:23.364302Z","title":null,"venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.364302Z"},"links":{"cited_paper":"/paper/math/0211216","citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:28ec7ca0565c9b2a553a3e8396a0fc6b2ad78a24745c5a8dfdbbe138fe51d892","observation_id":"bf512788-8bb7-4d2c-bca9-1ed5cb8708d1","resolution":{"observed_at":"2026-08-10T23:55:23.364302Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0605038","last_updated":"2006-05-03T14:41:28Z","snapshot_observed_at":"2026-07-07T04:57:24.568286Z","submitted_at":"2006-05-03T14:41:28Z","title":"Holographic Action for the Self-Dual Field","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0605038","snapshot_observed_at":"2026-08-10T23:55:23.367729Z","title":"Belov and G","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.367729Z"},"links":{"cited_paper":"/paper/hep-th/0605038","citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:2827280b599f3cf087f85f617300f628bb9d6e7407600aa03952f2ecbc52c9d7","observation_id":"1cbe5293-b82a-4e69-bd10-8160bc37aadc","resolution":{"observed_at":"2026-08-10T23:55:23.367729Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0611020","last_updated":"2006-11-02T15:45:19Z","snapshot_observed_at":"2026-08-11T18:39:11.471667Z","submitted_at":"2006-11-02T15:45:19Z","title":"Type II Actions from 11-Dimensional Chern-Simons Theories","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0611020","snapshot_observed_at":"2026-08-10T23:55:23.371462Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.371462Z"},"links":{"cited_paper":"/paper/hep-th/0611020","citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:c61e07b9e35092e7c944db78792cf2261fac9ef447574f5eb9da6821b8f937a9","observation_id":"7d95befa-f935-4564-a486-c43af755dab7","resolution":{"observed_at":"2026-08-10T23:55:23.371462Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:55:23.375784Z","title":"Hsieh, Y","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.375784Z"},"links":{"citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:8772a6681b4c3692b03edf89877c2e5e64a4841ea6c86fb30d9fb5e1515b240b","observation_id":"aa302e64-4c2d-4a51-a448-c6f878655568","resolution":{"observed_at":"2026-08-10T23:55:23.375784Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:55:24.513402Z","title":"Hatcher, Algebraic Topology","venue":null,"work_id":"8065c256-77e6-4014-9637-2ec76832f4dc","year":2002},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.379574Z"},"links":{"citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:52ea717f3da45cc5a61f4c12f59f32b1b4e03d006e59580b62ec3925fe7079e4","observation_id":"a94cce2f-f736-45b2-8867-1f784cb5050d","resolution":{"observed_at":"2026-08-10T23:55:24.516799Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2212.09743","last_updated":"2024-05-16T00:56:08Z","snapshot_observed_at":"2026-08-11T00:03:54.865614Z","submitted_at":"2022-12-19T18:59:27Z","title":"Top Down Approach to Topological Duality Defects","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2212.09743","snapshot_observed_at":"2026-08-10T23:55:23.384043Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.384043Z"},"links":{"cited_paper":"/paper/2212.09743","citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:a7f7ba253b8efa6c09d7fdcf4cf9bd524debb5eb642a2d020835684f31a63568","observation_id":"e4983fde-80df-4dca-8ced-9bcaad7af92c","resolution":{"observed_at":"2026-08-10T23:55:23.384043Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2306.16405","last_updated":"2023-06-28T17:54:13Z","snapshot_observed_at":"2026-08-11T00:57:45.811963Z","submitted_at":"2023-06-28T17:54:13Z","title":"Aspects of Categorical Symmetries from Branes: SymTFTs and Generalized Charges","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2306.16405","snapshot_observed_at":"2026-08-10T23:55:23.389014Z","title":"Apruzzi, F","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.389014Z"},"links":{"cited_paper":"/paper/2306.16405","citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:15f9a5f9d86e4452c2a327cdcc9ddaec828fa1705de9da8e04b1adc8a11ea004","observation_id":"8980ea00-4b19-44b2-873f-731c2a71aa47","resolution":{"observed_at":"2026-08-10T23:55:23.389014Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2306.15783","last_updated":"2024-01-24T17:06:53Z","snapshot_observed_at":"2026-08-07T02:58:31.540616Z","submitted_at":"2023-06-27T20:10:13Z","title":"Non-Invertible Symmetries, Brane Dynamics, and Tachyon Condensation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2306.15783","snapshot_observed_at":"2026-08-10T23:55:23.393090Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.393090Z"},"links":{"cited_paper":"/paper/2306.15783","citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:0d88a97ee3657e6e251abf5f5fbf885849c2ecb50d026056083ae3ff10c2f98c","observation_id":"38f22673-d0b9-4e82-be49-640ba2da555b","resolution":{"observed_at":"2026-08-10T23:55:23.393090Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:55:24.502636Z","title":"Bhardwaj, L","venue":null,"work_id":"69d0f41b-5ac3-468b-97d4-ce9f2ed47316","year":2023},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.397295Z"},"links":{"citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:d0c3aaf25eeb6eb3d1a4eb81319814935bc3fee733f4699279356894f8f8ecf8","observation_id":"dc682dd3-2c1b-4cb1-838c-30af94dd8163","resolution":{"observed_at":"2026-08-10T23:55:24.506655Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:55:24.491817Z","title":"Bhardwaj and S","venue":null,"work_id":"08906b9d-96ee-4e9e-9a3d-6f955f430714","year":2023},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.401107Z"},"links":{"citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:61d1175d4a0c90f53de4c2e56a9b8e9333d226a099ad4b43642b1db4db25f825","observation_id":"a87f7afe-fe8b-4530-98cb-09021254bd50","resolution":{"observed_at":"2026-08-10T23:55:24.495610Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:55:24.480403Z","title":"Kapustin and N","venue":null,"work_id":"c4cc41c7-27ba-4ff3-a161-06f834fee414","year":2011},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.404961Z"},"links":{"citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:2f796424f1c11ee4dbad38ce628e4559d778feda27141c5f94596353478cf3eb","observation_id":"7e6c939e-30d9-4254-86bf-12e3858b546f","resolution":{"observed_at":"2026-08-10T23:55:24.484299Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:55:24.469412Z","title":"Bhardwaj, D","venue":null,"work_id":"06d4a49d-f3de-48c0-bbba-67fb32f71408","year":2024},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.408802Z"},"links":{"citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:8df9e998d5194a4f002c304783d71fe32bf21fafa6dff3cafe48cc98f6af7dd7","observation_id":"eb5fab17-be76-4373-8f24-28cb97110ecd","resolution":{"observed_at":"2026-08-10T23:55:24.472869Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2408.13931","last_updated":"2024-09-04T17:03:56Z","snapshot_observed_at":"2026-08-11T00:03:40.888558Z","submitted_at":"2024-08-25T20:26:30Z","title":"Towards All Categorical Symmetries in 2+1 Dimensions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.13931","snapshot_observed_at":"2026-08-10T23:55:23.412722Z","title":"Bullimore and J","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.412722Z"},"links":{"cited_paper":"/paper/2408.13931","citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:76ec1186759054c89931b0af676050d6aef6cb9cbb8800b313fedf2c997e03ca","observation_id":"e55e755b-3dbc-4b53-8243-71a891907859","resolution":{"observed_at":"2026-08-10T23:55:23.412722Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2301.07112","last_updated":"2023-01-17T19:00:01Z","snapshot_observed_at":"2026-08-09T10:58:36.859974Z","submitted_at":"2023-01-17T19:00:01Z","title":"Symmetry TFTs and Anomalies of Non-Invertible Symmetries","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2301.07112","snapshot_observed_at":"2026-08-10T23:55:23.417262Z","title":"Kaidi, E","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.417262Z"},"links":{"cited_paper":"/paper/2301.07112","citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:7b4548295d3fe372ce5c66d4bc3d1e07ffe5226f3b65fa97bd9e2f6dc8ca63df","observation_id":"28cc5fc2-12e5-46db-8860-76c441ce865f","resolution":{"observed_at":"2026-08-10T23:55:23.417262Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:55:24.458822Z","title":"Kaidi, G","venue":null,"work_id":"c851b6e9-14ed-43ef-be53-ad485bf828dd","year":2022},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.421700Z"},"links":{"citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:68a0ebc2e6e561011792ffdcc4f2e6c20887e3dbf31ec7989c9458e82b031671","observation_id":"5a0603aa-a93d-43f7-83dd-f66a37a9c8c0","resolution":{"observed_at":"2026-08-10T23:55:24.462400Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2404.16097","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:55:23.625296Z","title":null,"venue":null,"work_id":"1e991ef3-969c-4eb1-a6de-23ece43cf3fc","year":null},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.425270Z"},"links":{"citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:156b9b902b9dbd36b7654756f55b317673f1fa5053727553fb0b73e3bef2d754","observation_id":"f8e29794-4194-4b19-8966-33cc5c9683aa","resolution":{"observed_at":"2026-08-10T23:55:23.633034Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:55:24.448188Z","title":null,"venue":null,"work_id":"327c3d20-70dc-4a3b-9732-7c254bb7024d","year":1990},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.428805Z"},"links":{"citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:18eee989709ff61e32b4d7bfe4edb09924ac0a79fa5593a83548fa6a15b0a96f","observation_id":"cc230026-435e-431b-8390-fbf393b7f6dc","resolution":{"observed_at":"2026-08-10T23:55:24.451500Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2209.11062","last_updated":"2023-10-21T06:53:27Z","snapshot_observed_at":"2026-08-10T14:19:37.525731Z","submitted_at":"2022-09-22T14:55:15Z","title":"Symmetry TFTs for Non-Invertible Defects","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2209.11062","snapshot_observed_at":"2026-08-10T23:55:23.432521Z","title":"Kaidi, K","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.432521Z"},"links":{"cited_paper":"/paper/2209.11062","citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:f2dbc16b5fec736d452defa5bb858c47db161a240e5c159c235b890d4f75b61d","observation_id":"364e11ae-48b8-43ea-b1fb-2a667efa14fe","resolution":{"observed_at":"2026-08-10T23:55:23.432521Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1142/s0218216598000206","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:55:23.497704Z","title":null,"venue":null,"work_id":"7e4d2705-2e5f-4a28-96be-dff73cb8a326","year":1998},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.436165Z"},"links":{"citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:6c2d5f30a94d339e0306bd465b8109ba9d02f5757362e3b14386a14cbe10df23","observation_id":"32f1ee08-e630-4dc9-985f-3e003f52d9c5","resolution":{"observed_at":"2026-08-10T23:55:23.502922Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:55:24.436953Z","title":"Putrov, J","venue":null,"work_id":"36ef79d6-3be3-435c-8b9a-a6326aba79a9","year":2017},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.439435Z"},"links":{"citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:10d30d30c8f56a29e9e71fade91891246cb17f3ca66d7df1e7096f1f4357a0ce","observation_id":"4bd1670e-0b76-4f2c-94d5-054ce41ca994","resolution":{"observed_at":"2026-08-10T23:55:24.440654Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1904.00994","last_updated":"2022-08-31T15:15:15Z","snapshot_observed_at":"2026-08-11T00:03:55.079531Z","submitted_at":"2019-04-01T17:59:52Z","title":"Quantum 4d Yang-Mills Theory and Time-Reversal Symmetric 5d Higher-Gauge Topological Field Theory","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1904.00994","snapshot_observed_at":"2026-08-10T23:55:23.442429Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.442429Z"},"links":{"cited_paper":"/paper/1904.00994","citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:abda405c5c44b726d484ec25445bf54ae0c79acb0f66c6bc99ff137fa3fa5fdd","observation_id":"3cc8ab05-74cd-426a-8c3f-48681b838aee","resolution":{"observed_at":"2026-08-10T23:55:23.442429Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:55:24.424231Z","title":"Zhang and P","venue":null,"work_id":"bfee17fb-4628-4b3b-8ca2-3de38c504979","year":2021},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.446198Z"},"links":{"citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:8af2ee3a8f48673ac90daef3c496bddcfd9b54ece12fc4e6c8fbf1fafc79e0a7","observation_id":"482ef2cb-12c2-4ba0-b9fb-f537a6726af0","resolution":{"observed_at":"2026-08-10T23:55:24.429149Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:55:24.412025Z","title":"Zhang and P","venue":null,"work_id":"329dc421-bc8a-40dd-926b-6b8e00921acf","year":2022},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.449136Z"},"links":{"citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:8e704d935f2de1d625de9b2fabc0c174b97f09dc52c852ec87f06c2cbf42b57c","observation_id":"6c2abcb7-2c72-4b45-8c57-530fa63f60a6","resolution":{"observed_at":"2026-08-10T23:55:24.415920Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:55:24.399430Z","title":"Del Zotto, S","venue":null,"work_id":"da781b7f-ad37-40e5-a935-ee978979ae47","year":2024},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.452169Z"},"links":{"citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:ea488e73364b5b1a78b9b2675811d65341a20cf48fef22c55cd23406ebf9083a","observation_id":"0ce17803-d042-4c3b-93bd-8b8382330346","resolution":{"observed_at":"2026-08-10T23:55:24.403723Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2306.11783","last_updated":"2023-06-20T18:00:00Z","snapshot_observed_at":"2026-08-09T17:57:21.436340Z","submitted_at":"2023-06-20T18:00:00Z","title":"Intermediate Defect Groups, Polarization Pairs, and Non-invertible Duality Defects","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2306.11783","snapshot_observed_at":"2026-08-10T23:55:23.455270Z","title":"Lawrie, X","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.455270Z"},"links":{"cited_paper":"/paper/2306.11783","citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:b7585a98703d52dd364cd959598fe3403e1a3e0f2e55b198295f8ad1cbbb978b","observation_id":"b42bd7b9-f2e2-4926-821e-cd50b9e29bf6","resolution":{"observed_at":"2026-08-10T23:55:23.455270Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2204.09025","last_updated":"2022-06-20T02:34:09Z","snapshot_observed_at":"2026-08-10T04:20:37.440856Z","submitted_at":"2022-04-19T17:35:30Z","title":"Non-invertible Condensation, Duality, and Triality Defects in 3+1 Dimensions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2204.09025","snapshot_observed_at":"2026-08-10T23:55:23.458818Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.458818Z"},"links":{"cited_paper":"/paper/2204.09025","citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:7a934924dc76c6b2f8be43d316c82873bc82fd04da87b362f2f06c7fc838a66c","observation_id":"68d1df55-bec8-40df-9b45-30d97658f22c","resolution":{"observed_at":"2026-08-10T23:55:23.458818Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:55:24.387183Z","title":null,"venue":null,"work_id":"15f1d3f7-bdfe-4d28-8a27-cf4fd48e8ab1","year":2001},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.462453Z"},"links":{"citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:2fc205c171e3cc77307af61817f60c813e4533bd69bc9fe76b7f2d05e2fadece","observation_id":"4b6dcbba-6bef-4254-8453-c83771f32816","resolution":{"observed_at":"2026-08-10T23:55:24.391169Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:55:24.375079Z","title":"Spanier, Algebraic Topology","venue":null,"work_id":"153296f7-8fe6-4a09-814e-01cbf9e3a7b9","year":1989},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.465555Z"},"links":{"citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:29343c77926f04f383ed6f803bccd298865a28fbf031f4bc984c80219465780b","observation_id":"cf3b2178-881d-4e03-b41c-ac4cb8815118","resolution":{"observed_at":"2026-08-10T23:55:24.379424Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:55:24.362545Z","title":"Greenblatt, Homology with local coefficients and characteristic classes , Homology, Homotopy and Applications 8 (2006), no","venue":null,"work_id":"5908dd68-19b1-4e9e-bbf9-87ee588cc266","year":2006},"citing_paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-10T23:55:23.468683Z"},"links":{"citing_paper":"/paper/2412.19887"},"observation_digest":"sha256:521f06a4d96b5cb1187e86fa96f1b1224b7dda81695f3670eb28fb28a39e7e4b","observation_id":"0b347329-9aec-4363-b3c7-1390b1fb297a","resolution":{"observed_at":"2026-08-10T23:55:24.367481Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2412.19887","last_updated":"2024-12-27T19:00:07Z","latest_version":1,"primary_category":"hep-th","snapshot_observed_at":"2026-08-11T06:43:47.036708Z","submitted_at":"2024-12-27T19:00:07Z","title":"Holography and discrete theta angles for disconnected gauge groups"},"reference_resolution":{"displayed":65,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":40,"verified_exact":2,"verified_fuzzy":23},"total_outbound_references":65},"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":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 65 of 65 outbound references and 2 inbound Pith citation observations for arXiv:2412.19887."}