{"as_of":"2026-08-09T17:16:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:c112fedf039a27c2d2eb61d8991da575ab9402327eafb5e8831e7a0f24fb2e30","coverage":[{"denominator":38,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":38,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T18:21:16.012524Z","state":"measured"},{"denominator":38,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":38,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+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/2507.09277/citation-record","integrity":"/paper/2507.09277/integrity","json":"/paper/2507.09277/citation-record.json","paper":"/paper/2507.09277"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/978-1-4684-0499-9","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T00:03:56.115653Z","title":null,"venue":"Graduate texts in contemporary physics","work_id":"060be015-c623-4df6-9844-f07e3350a6e1","year":1987},"citing_paper":{"arxiv_id":"2507.09277","last_updated":"2025-07-12T13:15:53Z","snapshot_observed_at":"2026-08-08T11:47:16.802271Z","submitted_at":"2025-07-12T13:15:53Z","title":"Gauge Invariant and Generic Formulation of Magnetic Translations and so(3,1) Curtright-Zachos Generators","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T18:21:15.805127Z"},"links":{"citing_paper":"/paper/2507.09277"},"observation_digest":"sha256:7db44bca286741239ea04177aab9066384467860a6c91a4793251fa79d6e2755","observation_id":"8c740740-30f3-4432-9f8d-5692c3bc0b19","resolution":{"observed_at":"2026-08-06T18:21:16.314412Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/978-3-662-05016-3","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T00:03:56.115653Z","title":"Yoshioka, ”The Quantum Hall Eﬀect”, Springer (2002), DOI:10.1007/978-3-662-05016-3","venue":"Springer series in solid-state sciences","work_id":"932c42f6-9aa4-4ba6-8035-b60ff8dad7a8","year":2002},"citing_paper":{"arxiv_id":"2507.09277","last_updated":"2025-07-12T13:15:53Z","snapshot_observed_at":"2026-08-08T11:47:16.802271Z","submitted_at":"2025-07-12T13:15:53Z","title":"Gauge Invariant and Generic Formulation of Magnetic Translations and so(3,1) Curtright-Zachos Generators","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T18:21:15.810774Z"},"links":{"citing_paper":"/paper/2507.09277"},"observation_digest":"sha256:5aae571c275f34a6d5e87650afb952eb76c902c76b07749329ff2b6c49939841","observation_id":"b0773a06-e951-48cc-a13f-0c36e560a0ad","resolution":{"observed_at":"2026-08-06T18:21:16.298573Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0003006","last_updated":"2000-03-01T20:16:03Z","snapshot_observed_at":"2026-08-08T11:46:45.428453Z","submitted_at":"2000-03-01T20:16:03Z","title":"A Short Survey of Noncommutative Geometry","version":1},"cited_work":{"arxiv_id":"hep-th/0003006","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-th/0003006","snapshot_observed_at":"2026-08-06T18:21:16.912368Z","title":"A Short Survey of Noncommutative Geometry","venue":"hep-th","work_id":"cc0b106c-0c3e-4103-9b48-3ac00689e88e","year":2000},"citing_paper":{"arxiv_id":"2507.09277","last_updated":"2025-07-12T13:15:53Z","snapshot_observed_at":"2026-08-08T11:47:16.802271Z","submitted_at":"2025-07-12T13:15:53Z","title":"Gauge Invariant and Generic Formulation of Magnetic Translations and so(3,1) Curtright-Zachos Generators","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T18:21:15.816464Z"},"links":{"cited_paper":"/paper/hep-th/0003006","citing_paper":"/paper/2507.09277"},"observation_digest":"sha256:7ec038c3a328fc84fe2cf4e11e9acf7d18aaaea93d5bcea610aa4ba9216d8dd4","observation_id":"f7bf1dc4-0717-4bca-b623-71e9a499ec07","resolution":{"observed_at":"2026-08-06T18:21:16.917214Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0109162","last_updated":"2003-01-23T15:05:42Z","snapshot_observed_at":"2026-07-07T04:41:15.266728Z","submitted_at":"2001-09-20T13:34:26Z","title":"Quantum Field Theory on Noncommutative Spaces","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0109162","snapshot_observed_at":"2026-08-06T18:21:15.822508Z","title":"Szabo, ”Quantum ﬁeld theory on noncommutative spac es”, Phys","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2507.09277","last_updated":"2025-07-12T13:15:53Z","snapshot_observed_at":"2026-08-08T11:47:16.802271Z","submitted_at":"2025-07-12T13:15:53Z","title":"Gauge Invariant and Generic Formulation of Magnetic Translations and so(3,1) Curtright-Zachos Generators","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T18:21:15.822508Z"},"links":{"cited_paper":"/paper/hep-th/0109162","citing_paper":"/paper/2507.09277"},"observation_digest":"sha256:d42f18ec2544a951f544d3a550ff93a6e88e0c0161202e25d51180030b2b298e","observation_id":"a3796152-5e2f-4fea-947b-138e5b3780d2","resolution":{"observed_at":"2026-08-06T18:21:15.822508Z","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":"2026-08-06T18:21:15.828770Z","title":"Kassel, ”Quantum Groups”, Springer New York (1995), DOI:10.1007/978-1-4612-0783-2 ; V","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2507.09277","last_updated":"2025-07-12T13:15:53Z","snapshot_observed_at":"2026-08-08T11:47:16.802271Z","submitted_at":"2025-07-12T13:15:53Z","title":"Gauge Invariant and Generic Formulation of Magnetic Translations and so(3,1) Curtright-Zachos Generators","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T18:21:15.828770Z"},"links":{"citing_paper":"/paper/2507.09277"},"observation_digest":"sha256:d3e613f99fd4226f6e2918bf0e6069e1a4b4fadacd63e073ef4fd4eb19dba37f","observation_id":"5cfa1181-25c0-4863-a71d-b351554334d6","resolution":{"observed_at":"2026-08-06T18:21:15.828770Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9108028","last_updated":"1988-11-11T15:39:49Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"1988-11-11T15:39:49Z","title":"Applied Conformal Field Theory","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9108028","snapshot_observed_at":"2026-08-06T18:21:15.834573Z","title":"Ginsparg, ”Applied Conformal Field Theory”, in: Fiel ds, Strings and Critical Phenomena, (Les Houches, Session XLIX, 1988) ed","venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2507.09277","last_updated":"2025-07-12T13:15:53Z","snapshot_observed_at":"2026-08-08T11:47:16.802271Z","submitted_at":"2025-07-12T13:15:53Z","title":"Gauge Invariant and Generic Formulation of Magnetic Translations and so(3,1) Curtright-Zachos Generators","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T18:21:15.834573Z"},"links":{"cited_paper":"/paper/hep-th/9108028","citing_paper":"/paper/2507.09277"},"observation_digest":"sha256:b52a473d9ffe67db5c31ab0d1db05a2aaa0e08906fd01d4a1a8917be1ccf7ee0","observation_id":"13ce4776-808b-4439-b157-0eeefac662b7","resolution":{"observed_at":"2026-08-06T18:21:15.834573Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1511.04074","last_updated":"2016-05-19T15:59:25Z","snapshot_observed_at":"2026-07-06T04:36:19.340532Z","submitted_at":"2015-11-12T20:59:54Z","title":"Lectures on Conformal Field Theory","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1511.04074","snapshot_observed_at":"2026-08-06T18:21:15.840703Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.09277","last_updated":"2025-07-12T13:15:53Z","snapshot_observed_at":"2026-08-08T11:47:16.802271Z","submitted_at":"2025-07-12T13:15:53Z","title":"Gauge Invariant and Generic Formulation of Magnetic Translations and so(3,1) Curtright-Zachos Generators","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T18:21:15.840703Z"},"links":{"cited_paper":"/paper/1511.04074","citing_paper":"/paper/2507.09277"},"observation_digest":"sha256:7ad9d59de95723f616503d0f3c681ddd9fcdf1c47f021f80b6ecf93180ce38aa","observation_id":"70623de8-f025-4263-8806-f47b50413551","resolution":{"observed_at":"2026-08-06T18:21:15.840703Z","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":"10.1016/0550-3213(93)90603-m","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T18:21:16.233127Z","title":null,"venue":null,"work_id":"6615895f-04e7-457a-bc31-8e9e233d2213","year":1993},"citing_paper":{"arxiv_id":"2507.09277","last_updated":"2025-07-12T13:15:53Z","snapshot_observed_at":"2026-08-08T11:47:16.802271Z","submitted_at":"2025-07-12T13:15:53Z","title":"Gauge Invariant and Generic Formulation of Magnetic Translations and so(3,1) Curtright-Zachos Generators","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T18:21:15.846493Z"},"links":{"citing_paper":"/paper/2507.09277"},"observation_digest":"sha256:cdf8601c38e0e33177c1b429256467c038f6c00a8353a6d080ac2903ba31214c","observation_id":"28ac0669-3afc-46e4-ae2d-b1579ce7315b","resolution":{"observed_at":"2026-08-06T18:21:16.237878Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T18:21:16.928745Z","title":"Landau and E.M","venue":null,"work_id":"17ea1714-4ed0-4f09-bb6b-b731e242700c","year":1958},"citing_paper":{"arxiv_id":"2507.09277","last_updated":"2025-07-12T13:15:53Z","snapshot_observed_at":"2026-08-08T11:47:16.802271Z","submitted_at":"2025-07-12T13:15:53Z","title":"Gauge Invariant and Generic Formulation of Magnetic Translations and so(3,1) Curtright-Zachos Generators","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T18:21:15.851991Z"},"links":{"citing_paper":"/paper/2507.09277"},"observation_digest":"sha256:40f06aec91a84e264cb5225356511e076049ba8089ce02e7c9e542097fa4d9ba","observation_id":"ad39a41f-8827-4f0a-bf8d-d70b8c708df1","resolution":{"observed_at":"2026-08-06T18:21:16.933626Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T18:21:15.857042Z","title":"Zak, ”Magnetic translation group”, Phys","venue":null,"work_id":null,"year":1964},"citing_paper":{"arxiv_id":"2507.09277","last_updated":"2025-07-12T13:15:53Z","snapshot_observed_at":"2026-08-08T11:47:16.802271Z","submitted_at":"2025-07-12T13:15:53Z","title":"Gauge Invariant and Generic Formulation of Magnetic Translations and so(3,1) Curtright-Zachos Generators","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T18:21:15.857042Z"},"links":{"citing_paper":"/paper/2507.09277"},"observation_digest":"sha256:aca7af8d836d2c9dd5b5894092b1541158062fa1e0e209a0c742870f1da2178a","observation_id":"04cd17dd-bfa7-4753-a8f4-217c10cd0208","resolution":{"observed_at":"2026-08-06T18:21:15.857042Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2206.07717","last_updated":"2022-08-30T00:19:41Z","snapshot_observed_at":"2026-08-01T09:47:28.448877Z","submitted_at":"2022-06-15T18:00:00Z","title":"Magnetic Bloch Theorem and Reentrant Flat Bands in Twisted Bilayer Graphene at $2\\pi$ Flux","version":3},"cited_work":{"arxiv_id":"2206.07717","doi":null,"metadata_source":"pith","pith_arxiv_id":"2206.07717","snapshot_observed_at":"2026-08-06T18:21:16.870088Z","title":"Magnetic Bloch Theorem and Reentrant Flat Bands in Twisted Bilayer Graphene at $2\\pi$ Flux","venue":"cond-mat.mes-hall","work_id":"a1f36101-22d2-41df-a685-c3cd2ef2fc2d","year":2022},"citing_paper":{"arxiv_id":"2507.09277","last_updated":"2025-07-12T13:15:53Z","snapshot_observed_at":"2026-08-08T11:47:16.802271Z","submitted_at":"2025-07-12T13:15:53Z","title":"Gauge Invariant and Generic Formulation of Magnetic Translations and so(3,1) Curtright-Zachos Generators","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T18:21:15.863411Z"},"links":{"cited_paper":"/paper/2206.07717","citing_paper":"/paper/2507.09277"},"observation_digest":"sha256:e59dca8781a7e57ffcaa61947eb9f63dba17487b6d9afbaf27e32eb4a1d5528d","observation_id":"28557649-f39a-4833-9992-090c03437ebd","resolution":{"observed_at":"2026-08-06T18:21:16.875717Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0806.3166","last_updated":"2008-06-19T09:53:47Z","snapshot_observed_at":"2026-07-06T01:38:45.528063Z","submitted_at":"2008-06-19T09:53:47Z","title":"Spin and orbital angular momentum in gauge theories: Nucleon spin structure and multipole radiation revisited","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0806.3166","snapshot_observed_at":"2026-08-06T18:21:15.869051Z","title":"Chen, X.-F","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2507.09277","last_updated":"2025-07-12T13:15:53Z","snapshot_observed_at":"2026-08-08T11:47:16.802271Z","submitted_at":"2025-07-12T13:15:53Z","title":"Gauge Invariant and Generic Formulation of Magnetic Translations and so(3,1) Curtright-Zachos Generators","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T18:21:15.869051Z"},"links":{"cited_paper":"/paper/0806.3166","citing_paper":"/paper/2507.09277"},"observation_digest":"sha256:f1aa00f23de88b186a2ce0061588e784f49d6cae22080711ad9e6e0c14b5df12","observation_id":"54a5b5e2-5d3e-4975-a8d1-1c95267d2812","resolution":{"observed_at":"2026-08-06T18:21:15.869051Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1709.09766","last_updated":"2018-04-02T10:24:27Z","snapshot_observed_at":"2026-07-06T06:01:44.719177Z","submitted_at":"2017-09-28T00:14:11Z","title":"The issue of gauge choice in the Landau problem and the physics of canonical and mechanical orbital angular momenta","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1709.09766","snapshot_observed_at":"2026-08-06T18:21:15.875372Z","title":"Kitadono, M","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2507.09277","last_updated":"2025-07-12T13:15:53Z","snapshot_observed_at":"2026-08-08T11:47:16.802271Z","submitted_at":"2025-07-12T13:15:53Z","title":"Gauge Invariant and Generic Formulation of Magnetic Translations and so(3,1) Curtright-Zachos Generators","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T18:21:15.875372Z"},"links":{"cited_paper":"/paper/1709.09766","citing_paper":"/paper/2507.09277"},"observation_digest":"sha256:50342c0ad638ed591896102d9439db473b9853392718a6f012bb0858d12cc4a1","observation_id":"755444a7-1532-4935-a74e-82175569bfb3","resolution":{"observed_at":"2026-08-06T18:21:15.875372Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1905.07569","last_updated":"2020-06-16T08:24:44Z","snapshot_observed_at":"2026-07-06T07:53:54.264392Z","submitted_at":"2019-05-18T09:58:19Z","title":"Role of guiding center in Landau level system and mechanical and pseudo orbital angular momenta","version":2},"cited_work":{"arxiv_id":"1905.07569","doi":null,"metadata_source":"pith","pith_arxiv_id":"1905.07569","snapshot_observed_at":"2026-08-06T18:21:16.814178Z","title":"Role of guiding center in Landau level system and mechanical and pseudo orbital angular momenta","venue":"quant-ph","work_id":"59ac2485-0928-4448-b853-975e8c8ac1ba","year":2019},"citing_paper":{"arxiv_id":"2507.09277","last_updated":"2025-07-12T13:15:53Z","snapshot_observed_at":"2026-08-08T11:47:16.802271Z","submitted_at":"2025-07-12T13:15:53Z","title":"Gauge Invariant and Generic Formulation of Magnetic Translations and so(3,1) Curtright-Zachos Generators","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T18:21:15.880657Z"},"links":{"cited_paper":"/paper/1905.07569","citing_paper":"/paper/2507.09277"},"observation_digest":"sha256:b49554265583ee9e428650085503c282f4fd5bf2a092ef9bfafa61b8d63e0156","observation_id":"a49bbda0-55d9-49c2-a565-be04a6649f2f","resolution":{"observed_at":"2026-08-06T18:21:16.819454Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1609.00041","last_updated":"2016-08-24T11:04:36Z","snapshot_observed_at":"2026-08-02T21:06:19.787120Z","submitted_at":"2016-08-24T11:04:36Z","title":"The \"forgotten\" pseudomomenta and gauge changes in generalized Landau Level problems: spatially nonuniform magnetic and temporally varying electric fields","version":1},"cited_work":{"arxiv_id":"1609.00041","doi":null,"metadata_source":"pith","pith_arxiv_id":"1609.00041","snapshot_observed_at":"2026-08-06T18:21:16.790517Z","title":"The \"forgotten\" pseudomomenta and gauge changes in generalized Landau Level problems: spatially nonuniform magnetic and temporally varying electric fields","venue":"cond-mat.mes-hall","work_id":"ffece8e4-0329-4a90-96e0-7aae58847e28","year":2016},"citing_paper":{"arxiv_id":"2507.09277","last_updated":"2025-07-12T13:15:53Z","snapshot_observed_at":"2026-08-08T11:47:16.802271Z","submitted_at":"2025-07-12T13:15:53Z","title":"Gauge Invariant and Generic Formulation of Magnetic Translations and so(3,1) Curtright-Zachos Generators","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T18:21:15.885924Z"},"links":{"cited_paper":"/paper/1609.00041","citing_paper":"/paper/2507.09277"},"observation_digest":"sha256:597bb254508c734801a7a10734170c9acbd1c55143d169c6e7f6cb6fd7ee384b","observation_id":"e134dc6d-ee8d-44de-b688-8c6a7ee2ca85","resolution":{"observed_at":"2026-08-06T18:21:16.796437Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/0370-2693(90)90845-w","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T18:21:16.206798Z","title":"Curtright and C","venue":null,"work_id":"9cb22a26-cf09-4ffa-86e6-74a6ab435221","year":1990},"citing_paper":{"arxiv_id":"2507.09277","last_updated":"2025-07-12T13:15:53Z","snapshot_observed_at":"2026-08-08T11:47:16.802271Z","submitted_at":"2025-07-12T13:15:53Z","title":"Gauge Invariant and Generic Formulation of Magnetic Translations and so(3,1) Curtright-Zachos Generators","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T18:21:15.892198Z"},"links":{"citing_paper":"/paper/2507.09277"},"observation_digest":"sha256:7446428eda9203b10eec47daa7572e081351ce483bd041a7bbdfa00dec43048c","observation_id":"e54bd5d4-2a5d-4225-a000-2da5fb94deb2","resolution":{"observed_at":"2026-08-06T18:21:16.212032Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/0370-2693(89)91418-4","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T18:21:16.190509Z","title":"Fairlie, P","venue":null,"work_id":"349c9097-da7f-4cfc-a81e-40e29f5bd000","year":1989},"citing_paper":{"arxiv_id":"2507.09277","last_updated":"2025-07-12T13:15:53Z","snapshot_observed_at":"2026-08-08T11:47:16.802271Z","submitted_at":"2025-07-12T13:15:53Z","title":"Gauge Invariant and Generic Formulation of Magnetic Translations and so(3,1) Curtright-Zachos Generators","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T18:21:15.897449Z"},"links":{"citing_paper":"/paper/2507.09277"},"observation_digest":"sha256:310aa4fd52df3114a1c9bce9a93713c86aa08a9579ff39a6945ccd353d7be52c","observation_id":"b54f3d50-7104-4b9e-b35f-5fce63698817","resolution":{"observed_at":"2026-08-06T18:21:16.195624Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2025.13925","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T18:21:16.765032Z","title":"Sato, ”Curtright-Zachos Supersymmetric Deforma tions of the Virasoro algebra in Quantum Superspace and Bloch Electron Systems”, Phys","venue":null,"work_id":"cc2bd689-9677-456b-935d-5b863ab0fe04","year":2025},"citing_paper":{"arxiv_id":"2507.09277","last_updated":"2025-07-12T13:15:53Z","snapshot_observed_at":"2026-08-08T11:47:16.802271Z","submitted_at":"2025-07-12T13:15:53Z","title":"Gauge Invariant and Generic Formulation of Magnetic Translations and so(3,1) Curtright-Zachos Generators","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T18:21:15.907915Z"},"links":{"citing_paper":"/paper/2507.09277"},"observation_digest":"sha256:f1243f88ffbcdc0c65ae42ab5bcdb5c628ca169641c3dfee0222b067ba7446b9","observation_id":"1cfb4051-b268-4a41-9333-a7594fb12cd5","resolution":{"observed_at":"2026-08-06T18:21:16.772728Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2024.11663","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T18:21:16.687496Z","title":"Sato, ”Moyal product and Generalized Hom-Lie-Vi rasoro symmetries in Bloch electron systems”, Nucl","venue":null,"work_id":"d5560a81-fe1a-463f-97a4-ec084acf694e","year":2024},"citing_paper":{"arxiv_id":"2507.09277","last_updated":"2025-07-12T13:15:53Z","snapshot_observed_at":"2026-08-08T11:47:16.802271Z","submitted_at":"2025-07-12T13:15:53Z","title":"Gauge Invariant and Generic Formulation of Magnetic Translations and so(3,1) Curtright-Zachos Generators","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T18:21:15.913194Z"},"links":{"citing_paper":"/paper/2507.09277"},"observation_digest":"sha256:9c0d37a999d442656bc170c0ff7ab847358f5efe7c43a16b7d8ee7ba9b73aae1","observation_id":"251ca2ac-0e56-48b3-9269-866c1a77a87f","resolution":{"observed_at":"2026-08-06T18:21:16.695071Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2023.11633","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T18:21:16.609883Z","title":"Aizawa and H.-T","venue":null,"work_id":"89b0e20d-91d1-4ebd-9898-808fdcbec088","year":2023},"citing_paper":{"arxiv_id":"2507.09277","last_updated":"2025-07-12T13:15:53Z","snapshot_observed_at":"2026-08-08T11:47:16.802271Z","submitted_at":"2025-07-12T13:15:53Z","title":"Gauge Invariant and Generic Formulation of Magnetic Translations and so(3,1) Curtright-Zachos Generators","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T18:21:15.919068Z"},"links":{"citing_paper":"/paper/2507.09277"},"observation_digest":"sha256:1fabe04d54d1375b94b94b2703ea11fac08e5dd8325e39490d0bd078173cb341","observation_id":"2a489b57-7f39-479d-b0fb-8ce06b3ccdcc","resolution":{"observed_at":"2026-08-06T18:21:16.617920Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"math/0408064","last_updated":"2004-08-04T17:53:41Z","snapshot_observed_at":"2026-07-30T23:26:49.045529Z","submitted_at":"2004-08-04T17:53:41Z","title":"Deformations of Lie Algebras using $\\sigma$-derivations","version":1},"cited_work":{"arxiv_id":"math/0408064","doi":null,"metadata_source":"pith","pith_arxiv_id":"math/0408064","snapshot_observed_at":"2026-08-06T18:21:16.529955Z","title":"Deformations of Lie Algebras using $\\sigma$-derivations","venue":"math.QA","work_id":"7bab67e2-f4b5-4d64-8165-cd2b1a22d5bd","year":2004},"citing_paper":{"arxiv_id":"2507.09277","last_updated":"2025-07-12T13:15:53Z","snapshot_observed_at":"2026-08-08T11:47:16.802271Z","submitted_at":"2025-07-12T13:15:53Z","title":"Gauge Invariant and Generic Formulation of Magnetic Translations and so(3,1) Curtright-Zachos Generators","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-06T18:21:15.924218Z"},"links":{"cited_paper":"/paper/math/0408064","citing_paper":"/paper/2507.09277"},"observation_digest":"sha256:5678249c78f8b2998c43a46db128c58f3b3fd705a201e250bd75928a55ffcb58","observation_id":"58ada5e4-7654-414b-9733-635eb2e87206","resolution":{"observed_at":"2026-08-06T18:21:16.535522Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"math/0408061","last_updated":"2004-08-04T17:17:10Z","snapshot_observed_at":"2026-07-07T05:42:44.773557Z","submitted_at":"2004-08-04T17:17:10Z","title":"Quasi-hom-Lie Algebras, Central Extensions and 2-cocycle-like Identities","version":1},"cited_work":{"arxiv_id":"math/0408061","doi":null,"metadata_source":"pith","pith_arxiv_id":"math/0408061","snapshot_observed_at":"2026-08-06T18:21:16.507648Z","title":"Quasi-hom-Lie Algebras, Central Extensions and 2-cocycle-like Identities","venue":"math.RA","work_id":"fdca1c77-4afc-4322-87f6-f8f6b21a69c8","year":2004},"citing_paper":{"arxiv_id":"2507.09277","last_updated":"2025-07-12T13:15:53Z","snapshot_observed_at":"2026-08-08T11:47:16.802271Z","submitted_at":"2025-07-12T13:15:53Z","title":"Gauge Invariant and Generic Formulation of Magnetic Translations and so(3,1) Curtright-Zachos Generators","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-06T18:21:15.929899Z"},"links":{"cited_paper":"/paper/math/0408061","citing_paper":"/paper/2507.09277"},"observation_digest":"sha256:cb2873358db1f654f69e430596631e3d3b3fb25cca3e7972a29be5fe35809fce","observation_id":"43ec8248-09f7-4eec-bf50-3e63b8d566a2","resolution":{"observed_at":"2026-08-06T18:21:16.512803Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0712.3130","last_updated":"2007-12-19T16:11:57Z","snapshot_observed_at":"2026-07-06T01:36:38.411711Z","submitted_at":"2007-12-19T16:11:57Z","title":"Notes on Formal Deformations of Hom-associative and Hom-Lie Algebras","version":1},"cited_work":{"arxiv_id":"0712.3130","doi":null,"metadata_source":"pith","pith_arxiv_id":"0712.3130","snapshot_observed_at":"2026-08-06T18:21:16.485776Z","title":"Notes on Formal Deformations of Hom-associative and Hom-Lie Algebras","venue":"math.RA","work_id":"cfa513c3-8d99-4375-b4a9-9ba327ddb833","year":2007},"citing_paper":{"arxiv_id":"2507.09277","last_updated":"2025-07-12T13:15:53Z","snapshot_observed_at":"2026-08-08T11:47:16.802271Z","submitted_at":"2025-07-12T13:15:53Z","title":"Gauge Invariant and Generic Formulation of Magnetic Translations and so(3,1) Curtright-Zachos Generators","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-06T18:21:15.935142Z"},"links":{"cited_paper":"/paper/0712.3130","citing_paper":"/paper/2507.09277"},"observation_digest":"sha256:b8de0b5a78afca6770abece0b1f20292071e6f77a1f412d06129ee1614e082ba","observation_id":"69c71bfa-fa89-43fd-a2a8-666cb267579a","resolution":{"observed_at":"2026-08-06T18:21:16.491566Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/0370-2693(91)90671-c","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T18:21:16.164295Z","title":"Aizawa and H","venue":null,"work_id":"754924de-fd8a-4e66-aebf-35b4bc7cfdb7","year":1991},"citing_paper":{"arxiv_id":"2507.09277","last_updated":"2025-07-12T13:15:53Z","snapshot_observed_at":"2026-08-08T11:47:16.802271Z","submitted_at":"2025-07-12T13:15:53Z","title":"Gauge Invariant and Generic Formulation of Magnetic Translations and so(3,1) Curtright-Zachos Generators","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-06T18:21:15.940332Z"},"links":{"citing_paper":"/paper/2507.09277"},"observation_digest":"sha256:ee44ad64ea0bc27bb35aff6a78b9b524ea15c6833df6ee1966747afff0280c8d","observation_id":"5726ef78-a771-4426-8a16-f80236a562c1","resolution":{"observed_at":"2026-08-06T18:21:16.169431Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1088/0305-4470/24/3/017","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T18:21:16.146123Z","title":"Narganes-Quijiano, ”Cyclic representations of a q-deformation of the Virasoro algebra”, J","venue":null,"work_id":"85bbe76a-6d57-41fe-b61f-f5893242e398","year":1991},"citing_paper":{"arxiv_id":"2507.09277","last_updated":"2025-07-12T13:15:53Z","snapshot_observed_at":"2026-08-08T11:47:16.802271Z","submitted_at":"2025-07-12T13:15:53Z","title":"Gauge Invariant and Generic Formulation of Magnetic Translations and so(3,1) Curtright-Zachos Generators","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-06T18:21:15.945168Z"},"links":{"citing_paper":"/paper/2507.09277"},"observation_digest":"sha256:239002dff7fc2b093160882f78ef2a2970f148ebedec8be9c3cabf1d2d8726f6","observation_id":"601deef3-856d-457a-ae6a-babac3be73c7","resolution":{"observed_at":"2026-08-06T18:21:16.152523Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9709047","last_updated":"1997-09-05T15:58:22Z","snapshot_observed_at":"2026-07-07T05:14:35.209626Z","submitted_at":"1997-09-05T15:58:22Z","title":"Deformation of Super Virasoro Algebra in Noncommutative Quantum Superspace","version":1},"cited_work":{"arxiv_id":"hep-th/9709047","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-th/9709047","snapshot_observed_at":"2026-08-06T18:21:16.464341Z","title":"Deformation of Super Virasoro Algebra in Noncommutative Quantum Superspace","venue":"hep-th","work_id":"8ece0c67-83c5-46d7-b6cb-0bfb9f101ba3","year":1997},"citing_paper":{"arxiv_id":"2507.09277","last_updated":"2025-07-12T13:15:53Z","snapshot_observed_at":"2026-08-08T11:47:16.802271Z","submitted_at":"2025-07-12T13:15:53Z","title":"Gauge Invariant and Generic Formulation of Magnetic Translations and so(3,1) Curtright-Zachos Generators","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-06T18:21:15.951472Z"},"links":{"cited_paper":"/paper/hep-th/9709047","citing_paper":"/paper/2507.09277"},"observation_digest":"sha256:04a64a1795007b38d70327df1eec8b84eb84e7b77d8e6ba28aace5728af13cb9","observation_id":"1f3df83b-7fb7-4619-9d24-3c5912e7370b","resolution":{"observed_at":"2026-08-06T18:21:16.469406Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9706176","last_updated":"1997-06-25T10:32:56Z","snapshot_observed_at":"2026-08-03T02:27:02.093155Z","submitted_at":"1997-06-25T10:32:56Z","title":"Notes on Curtright-Zachos Deformations of osp(1,2) and Super Virasoro Algebras","version":1},"cited_work":{"arxiv_id":"hep-th/9706176","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-th/9706176","snapshot_observed_at":"2026-08-06T18:21:16.441150Z","title":"Notes on Curtright-Zachos Deformations of osp(1,2) and Super Virasoro Algebras","venue":"hep-th","work_id":"6f3c461a-1802-43cf-bb80-10586975238c","year":1997},"citing_paper":{"arxiv_id":"2507.09277","last_updated":"2025-07-12T13:15:53Z","snapshot_observed_at":"2026-08-08T11:47:16.802271Z","submitted_at":"2025-07-12T13:15:53Z","title":"Gauge Invariant and Generic Formulation of Magnetic Translations and so(3,1) Curtright-Zachos Generators","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-06T18:21:15.956839Z"},"links":{"cited_paper":"/paper/hep-th/9706176","citing_paper":"/paper/2507.09277"},"observation_digest":"sha256:b43391e36193681b2a05cb256824a9783ff84a5bacdeeab0bfc362ca56e6b92a","observation_id":"582c0549-5746-4f67-a7ba-04d3771baacc","resolution":{"observed_at":"2026-08-06T18:21:16.447616Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2103.04163","last_updated":"2021-03-06T17:45:03Z","snapshot_observed_at":"2026-08-06T03:50:22.555650Z","submitted_at":"2021-03-06T17:45:03Z","title":"W-infinity Symmetry in the Quantum Hall Effect Beyond the Edge","version":1},"cited_work":{"arxiv_id":"2103.04163","doi":null,"metadata_source":"pith","pith_arxiv_id":"2103.04163","snapshot_observed_at":"2026-08-06T18:21:16.417081Z","title":"W-infinity Symmetry in the Quantum Hall Effect Beyond the Edge","venue":"hep-th","work_id":"ac555e28-d498-4b99-a53a-dc75bc251c3b","year":2021},"citing_paper":{"arxiv_id":"2507.09277","last_updated":"2025-07-12T13:15:53Z","snapshot_observed_at":"2026-08-08T11:47:16.802271Z","submitted_at":"2025-07-12T13:15:53Z","title":"Gauge Invariant and Generic Formulation of Magnetic Translations and so(3,1) Curtright-Zachos Generators","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-06T18:21:15.961939Z"},"links":{"cited_paper":"/paper/2103.04163","citing_paper":"/paper/2507.09277"},"observation_digest":"sha256:a0cf53d27f0166925e681502d0a74a6763f172c8ced431715a5cce8e369b4ef7","observation_id":"bc4bae5e-afe7-4a22-8ba4-d3c5927d2c23","resolution":{"observed_at":"2026-08-06T18:21:16.422382Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T18:21:15.967420Z","title":"Girvin, A.H","venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"2507.09277","last_updated":"2025-07-12T13:15:53Z","snapshot_observed_at":"2026-08-08T11:47:16.802271Z","submitted_at":"2025-07-12T13:15:53Z","title":"Gauge Invariant and Generic Formulation of Magnetic Translations and so(3,1) Curtright-Zachos Generators","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-06T18:21:15.967420Z"},"links":{"citing_paper":"/paper/2507.09277"},"observation_digest":"sha256:98d317fcca54069fccb5942789c053cbb97f37766c20d02af219dd0a3f613900","observation_id":"bbf74e1e-5db4-4f46-ae4a-8a8153fbaafb","resolution":{"observed_at":"2026-08-06T18:21:15.967420Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9206027","last_updated":"1992-06-05T14:06:31Z","snapshot_observed_at":"2026-07-07T05:01:21.946492Z","submitted_at":"1992-06-05T14:06:31Z","title":"Infinite Symmetry in the Quantum Hall Effect","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9206027","snapshot_observed_at":"2026-08-06T18:21:15.972596Z","title":"Cappelli, C.A","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2507.09277","last_updated":"2025-07-12T13:15:53Z","snapshot_observed_at":"2026-08-08T11:47:16.802271Z","submitted_at":"2025-07-12T13:15:53Z","title":"Gauge Invariant and Generic Formulation of Magnetic Translations and so(3,1) Curtright-Zachos Generators","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-06T18:21:15.972596Z"},"links":{"cited_paper":"/paper/hep-th/9206027","citing_paper":"/paper/2507.09277"},"observation_digest":"sha256:ac0999448cc7928958297819f1771a551ace1de0f60f19a8b60823a238ed3bec","observation_id":"04f5aff0-56af-4d07-99a6-b86dc0c85d19","resolution":{"observed_at":"2026-08-06T18:21:15.972596Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9303030","last_updated":"1993-03-04T19:09:35Z","snapshot_observed_at":"2026-07-07T05:02:39.776731Z","submitted_at":"1993-03-04T19:09:35Z","title":"Large N Limit in the Quantum Hall Effect","version":1},"cited_work":{"arxiv_id":"hep-th/9303030","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-th/9303030","snapshot_observed_at":"2026-08-06T18:21:16.377317Z","title":"Large N Limit in the Quantum Hall Effect","venue":"hep-th","work_id":"95265455-36aa-466d-aafa-0b8c1c7e9d86","year":1993},"citing_paper":{"arxiv_id":"2507.09277","last_updated":"2025-07-12T13:15:53Z","snapshot_observed_at":"2026-08-08T11:47:16.802271Z","submitted_at":"2025-07-12T13:15:53Z","title":"Gauge Invariant and Generic Formulation of Magnetic Translations and so(3,1) Curtright-Zachos Generators","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-06T18:21:15.978203Z"},"links":{"cited_paper":"/paper/hep-th/9303030","citing_paper":"/paper/2507.09277"},"observation_digest":"sha256:a9b7823ce7458f32a488885dda87e9d7baf91e96cf2d64356c84ba32ed1e418d","observation_id":"1790e5bc-dc67-4548-99d5-a3a38c6d89f4","resolution":{"observed_at":"2026-08-06T18:21:16.383479Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0003268","last_updated":"2000-04-27T07:00:15Z","snapshot_observed_at":"2026-07-07T04:36:15.423099Z","submitted_at":"2000-03-29T10:13:12Z","title":"FFZ realization of the deformed super Virasoro algebra - Chaichian-Presnajder type","version":3},"cited_work":{"arxiv_id":"hep-th/0003268","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-th/0003268","snapshot_observed_at":"2026-08-06T18:21:16.354663Z","title":"FFZ realization of the deformed super Virasoro algebra - Chaichian-Presnajder type","venue":"hep-th","work_id":"b09bb160-13f8-4089-96b1-a8b1c0ff8484","year":2000},"citing_paper":{"arxiv_id":"2507.09277","last_updated":"2025-07-12T13:15:53Z","snapshot_observed_at":"2026-08-08T11:47:16.802271Z","submitted_at":"2025-07-12T13:15:53Z","title":"Gauge Invariant and Generic Formulation of Magnetic Translations and so(3,1) Curtright-Zachos Generators","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-06T18:21:15.983584Z"},"links":{"cited_paper":"/paper/hep-th/0003268","citing_paper":"/paper/2507.09277"},"observation_digest":"sha256:21570e8f21f94b029a6b89fc3e7d7da722e2331aaba21e7dc0e518cde61fedbc","observation_id":"6b2ae26d-ef1c-428f-ae97-8c5091880a8b","resolution":{"observed_at":"2026-08-06T18:21:16.360643Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0007122","last_updated":"2000-09-13T09:57:48Z","snapshot_observed_at":"2026-07-07T04:37:13.290074Z","submitted_at":"2000-07-16T07:19:25Z","title":"Deformed fields and Moyal construction of deformed super Virasoro algebra","version":2},"cited_work":{"arxiv_id":"hep-th/0007122","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-th/0007122","snapshot_observed_at":"2026-08-06T18:21:16.330729Z","title":"Deformed fields and Moyal construction of deformed super Virasoro algebra","venue":"hep-th","work_id":"c501287f-15ae-4107-9641-e5dd823fadfe","year":2000},"citing_paper":{"arxiv_id":"2507.09277","last_updated":"2025-07-12T13:15:53Z","snapshot_observed_at":"2026-08-08T11:47:16.802271Z","submitted_at":"2025-07-12T13:15:53Z","title":"Gauge Invariant and Generic Formulation of Magnetic Translations and so(3,1) Curtright-Zachos Generators","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-06T18:21:15.988902Z"},"links":{"cited_paper":"/paper/hep-th/0007122","citing_paper":"/paper/2507.09277"},"observation_digest":"sha256:4e9cf525f9d0c28c98fa46f9a3e0c4b88378bad2896b564a1aacb21250239ef8","observation_id":"ab4eda5b-f848-44a6-b50d-4123891d73ac","resolution":{"observed_at":"2026-08-06T18:21:16.336533Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2204.12644","last_updated":"2024-07-10T08:23:45Z","snapshot_observed_at":"2026-07-06T13:04:09.750350Z","submitted_at":"2022-04-27T00:59:01Z","title":"Quantum deformation of cubic string field theory","version":2},"cited_work":{"arxiv_id":"2204.12644","doi":"10.48550/arxiv.2204.12644","metadata_source":"pith","pith_arxiv_id":"2204.12644","snapshot_observed_at":"2026-08-07T06:16:28.064256Z","title":"Quantum deformation of cubic string field theory","venue":"hep-th","work_id":"3c0b6c39-3aba-416a-ba46-0086b0d9e381","year":2022},"citing_paper":{"arxiv_id":"2507.09277","last_updated":"2025-07-12T13:15:53Z","snapshot_observed_at":"2026-08-08T11:47:16.802271Z","submitted_at":"2025-07-12T13:15:53Z","title":"Gauge Invariant and Generic Formulation of Magnetic Translations and so(3,1) Curtright-Zachos Generators","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-06T18:21:15.994732Z"},"links":{"cited_paper":"/paper/2204.12644","citing_paper":"/paper/2507.09277"},"observation_digest":"sha256:d79524f0dcf2b403333a594228ba03d3cf6ebde024e5a1e690c00044cb24314c","observation_id":"ca0f7f86-9a12-42d2-ba51-b85e94b3192a","resolution":{"observed_at":"2026-08-06T18:21:16.124315Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.physletb.2007.12.016","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T18:21:16.096505Z","title":null,"venue":null,"work_id":"9fd45c11-77d6-4722-982a-a7019102db62","year":2008},"citing_paper":{"arxiv_id":"2507.09277","last_updated":"2025-07-12T13:15:53Z","snapshot_observed_at":"2026-08-08T11:47:16.802271Z","submitted_at":"2025-07-12T13:15:53Z","title":"Gauge Invariant and Generic Formulation of Magnetic Translations and so(3,1) Curtright-Zachos Generators","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-06T18:21:16.000763Z"},"links":{"citing_paper":"/paper/2507.09277"},"observation_digest":"sha256:745e0a2afaed4c167988659fe8c279c1b9f1229da2bb95eb8f86747bceba35a1","observation_id":"29d2ae84-8d5b-4b25-bac1-0fab1129e142","resolution":{"observed_at":"2026-08-06T18:21:16.101689Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2409.15851","last_updated":"2024-10-09T13:09:47Z","snapshot_observed_at":"2026-08-07T22:04:04.108331Z","submitted_at":"2024-09-24T08:24:26Z","title":"Electric Space-time Translation and Floquet-Bloch Wavefunction","version":2},"cited_work":{"arxiv_id":"2409.15851","doi":"10.48550/arxiv.2409.15851","metadata_source":"pith","pith_arxiv_id":"2409.15851","snapshot_observed_at":"2026-08-07T06:16:28.064256Z","title":"Electric Space-time Translation and Floquet-Bloch Wavefunction","venue":"cond-mat.mes-hall","work_id":"3e05e3cd-4c64-4106-8d04-ffba4bb328a6","year":2024},"citing_paper":{"arxiv_id":"2507.09277","last_updated":"2025-07-12T13:15:53Z","snapshot_observed_at":"2026-08-08T11:47:16.802271Z","submitted_at":"2025-07-12T13:15:53Z","title":"Gauge Invariant and Generic Formulation of Magnetic Translations and so(3,1) Curtright-Zachos Generators","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-06T18:21:16.007173Z"},"links":{"cited_paper":"/paper/2409.15851","citing_paper":"/paper/2507.09277"},"observation_digest":"sha256:e2f3e8b80a7fe88248b6cabf38b74a9f56f4ed829ed5e7dd7f530d7f0994539c","observation_id":"c0a1b492-dece-428a-91da-97edf1d4a472","resolution":{"observed_at":"2026-08-06T18:21:16.083147Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2501.11471","last_updated":"2025-07-02T00:20:59Z","snapshot_observed_at":"2026-07-06T20:23:22.709846Z","submitted_at":"2025-01-20T12:59:29Z","title":"A Supersymmetric $w_{1+\\infty}$ Symmetry, the Extended Supergravity and the Celestial Holography","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2501.11471","snapshot_observed_at":"2026-08-06T18:21:16.012524Z","title":"Ahn and M","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.09277","last_updated":"2025-07-12T13:15:53Z","snapshot_observed_at":"2026-08-08T11:47:16.802271Z","submitted_at":"2025-07-12T13:15:53Z","title":"Gauge Invariant and Generic Formulation of Magnetic Translations and so(3,1) Curtright-Zachos Generators","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-06T18:21:16.012524Z"},"links":{"cited_paper":"/paper/2501.11471","citing_paper":"/paper/2507.09277"},"observation_digest":"sha256:3e0055f28bbb4cab68b25bd39cdb8178bbd684bdaeee82a2d13a8e50d2d55b95","observation_id":"a5f8d2d1-8d6d-4ab5-afed-2fea4e6ca796","resolution":{"observed_at":"2026-08-06T18:21:16.012524Z","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":"2026-08-06T18:21:15.902438Z","title":"Fairlie and C.K","venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2507.09277","last_updated":"2025-07-12T13:15:53Z","snapshot_observed_at":"2026-08-08T11:47:16.802271Z","submitted_at":"2025-07-12T13:15:53Z","title":"Gauge Invariant and Generic Formulation of Magnetic Translations and so(3,1) Curtright-Zachos Generators","version":1},"reference_index":1088,"source":"pdf_text","source_observed_at":"2026-08-06T18:21:15.902438Z"},"links":{"citing_paper":"/paper/2507.09277"},"observation_digest":"sha256:12f540a34698dc9eff3f2929d6652baf92e0aaac3b1071a72303faa28d2ada71","observation_id":"08d2c90e-f546-4ca6-b0ca-c009da8584db","resolution":{"observed_at":"2026-08-06T18:21:15.902438Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2507.09277","last_updated":"2025-07-12T13:15:53Z","latest_version":1,"primary_category":"hep-th","snapshot_observed_at":"2026-08-08T11:47:16.802271Z","submitted_at":"2025-07-12T13:15:53Z","title":"Gauge Invariant and Generic Formulation of Magnetic Translations and so(3,1) Curtright-Zachos Generators"},"reference_resolution":{"displayed":38,"state_counts":{"malformed_identifier":0,"metadata_mismatch":3,"parse_uncertain":0,"unresolved":11,"verified_exact":23,"verified_fuzzy":1},"total_outbound_references":38},"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":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 0 inbound Pith citation observations for arXiv:2507.09277."}