{"as_of":"2026-08-15T18:18:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:be9f95279093702db7d4a9034633f255f9a9284ced53ca4b217d6683a0efa6f6","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":9,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":9,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-15T06:32:42.880941+00:00","state":"measured"},{"denominator":9,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":9,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T20:28:55.518529Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-03T12:58:08.509158Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2204.07523","last_updated":"2022-04-15T15:49:23Z","snapshot_observed_at":"2026-08-13T18:26:36.401540Z","submitted_at":"2022-04-15T15:49:23Z","title":"Non-Invertible Symmetries from Discrete Gauging and Completeness of the Spectrum","version":1},"cited_work":{"arxiv_id":"2204.07523","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2204.07523","snapshot_observed_at":"2026-07-03T12:58:08.509158Z","title":"Arias-Tamargo and D","venue":null,"work_id":"851ff78a-61d4-4298-9d57-bca50fa3d1a1","year":2022},"citing_paper":{"arxiv_id":"2205.09545","last_updated":"2022-05-19T13:15:29Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2022-05-19T13:15:29Z","title":"Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond","version":1},"reference_index":118,"source":"pdf_text","source_observed_at":"2026-05-21T13:21:27.164386Z"},"links":{"cited_paper":"/paper/2204.07523","citing_paper":"/paper/2205.09545"},"observation_digest":"sha256:cf825a6f2352f3d042c8277cceafec7e3a203d9d6916d437082db44b89d79f75","observation_id":"a0c5104c-d3f6-41df-a104-0ad3b873fd0b","resolution":{"observed_at":"2026-05-21T13:21:27.689603Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2204.07523","last_updated":"2022-04-15T15:49:23Z","snapshot_observed_at":"2026-08-13T18:26:36.401540Z","submitted_at":"2022-04-15T15:49:23Z","title":"Non-Invertible Symmetries from Discrete Gauging and Completeness of the Spectrum","version":1},"cited_work":{"arxiv_id":"2204.07523","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2204.07523","snapshot_observed_at":"2026-07-03T12:58:08.509158Z","title":"Arias-Tamargo and D","venue":null,"work_id":"851ff78a-61d4-4298-9d57-bca50fa3d1a1","year":2022},"citing_paper":{"arxiv_id":"2308.00747","last_updated":"2024-03-30T04:03:38Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2023-08-01T18:00:01Z","title":"What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries","version":2},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-05-24T07:32:13.524274Z"},"links":{"cited_paper":"/paper/2204.07523","citing_paper":"/paper/2308.00747"},"observation_digest":"sha256:bd28e66ae01cad43ed3ae5f278a908a4c696b2b57c25d7813c0c3d0fe05bb7d6","observation_id":"8e8622a2-34b9-46e6-8bab-34bd033a6dad","resolution":{"observed_at":"2026-05-24T07:34:08.713159Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2204.07523","last_updated":"2022-04-15T15:49:23Z","snapshot_observed_at":"2026-08-13T18:26:36.401540Z","submitted_at":"2022-04-15T15:49:23Z","title":"Non-Invertible Symmetries from Discrete Gauging and Completeness of the Spectrum","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2204.07523","snapshot_observed_at":"2026-08-12T20:28:55.518529Z","title":"Non-invertible symmetries from discrete gauging and completeness of the spectrum","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2411.09685","last_updated":"2025-04-16T19:43:02Z","snapshot_observed_at":"2026-08-13T00:57:54.184459Z","submitted_at":"2024-11-14T18:52:31Z","title":"The Higher Structure of Symmetries of Axion-Maxwell Theory","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-12T20:28:55.518529Z"},"links":{"cited_paper":"/paper/2204.07523","citing_paper":"/paper/2411.09685"},"observation_digest":"sha256:7792766ce9c9b9aa63f22a729f292ba07f963f9683212d406676184a5b749f01","observation_id":"34c3815f-76c6-4a5f-a61f-e8afc0fb712e","resolution":{"observed_at":"2026-08-12T20:28:55.518529Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2204.07523","last_updated":"2022-04-15T15:49:23Z","snapshot_observed_at":"2026-08-13T18:26:36.401540Z","submitted_at":"2022-04-15T15:49:23Z","title":"Non-Invertible Symmetries from Discrete Gauging and Completeness of the Spectrum","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2204.07523","snapshot_observed_at":"2026-08-11T22:26:45.847328Z","title":"Arias-Tamargo and D","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.03640","last_updated":"2025-05-15T12:42:07Z","snapshot_observed_at":"2026-08-12T20:24:27.046808Z","submitted_at":"2024-12-04T19:00:00Z","title":"Finiteness and the Emergence of Dualities","version":3},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-11T22:26:45.847328Z"},"links":{"cited_paper":"/paper/2204.07523","citing_paper":"/paper/2412.03640"},"observation_digest":"sha256:581f0c444bc96c2501a3991717e1c8708859184f6f44cc13ed5f0db258eff205","observation_id":"3f62d34e-c690-49a5-a7d5-e9dd9579650c","resolution":{"observed_at":"2026-08-11T22:26:45.847328Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2204.07523","last_updated":"2022-04-15T15:49:23Z","snapshot_observed_at":"2026-08-13T18:26:36.401540Z","submitted_at":"2022-04-15T15:49:23Z","title":"Non-Invertible Symmetries from Discrete Gauging and Completeness of the Spectrum","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2204.07523","snapshot_observed_at":"2026-08-11T10:27:55.104114Z","title":"Non-invertible symmetries from discrete gauging and completeness of the spectrum,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.16681","last_updated":"2024-12-21T16:16:52Z","snapshot_observed_at":"2026-08-11T15:37:17.654956Z","submitted_at":"2024-12-21T16:16:52Z","title":"Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories","version":1},"reference_index":100,"source":"pdf_text","source_observed_at":"2026-08-11T10:27:55.104114Z"},"links":{"cited_paper":"/paper/2204.07523","citing_paper":"/paper/2412.16681"},"observation_digest":"sha256:6e8d6f494b7194359ffcf598cb61f866a8271a5917e47376d13257c1b7a2173a","observation_id":"8cc1320d-a7f8-41c3-9848-fda438499c2b","resolution":{"observed_at":"2026-08-11T10:27:55.104114Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2204.07523","last_updated":"2022-04-15T15:49:23Z","snapshot_observed_at":"2026-08-13T18:26:36.401540Z","submitted_at":"2022-04-15T15:49:23Z","title":"Non-Invertible Symmetries from Discrete Gauging and Completeness of the Spectrum","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2204.07523","snapshot_observed_at":"2026-08-06T16:57:36.922682Z","title":"Non-invertible symmetries from discrete gauging and completeness of the spectrum,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2507.12467","last_updated":"2026-05-27T17:03:13Z","snapshot_observed_at":"2026-08-06T20:00:24.737755Z","submitted_at":"2025-07-16T17:59:56Z","title":"The AdS/$\\mathsf{C}$-$\\mathsf{P}$-${\\mathsf T}$ Correspondence","version":2},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-08-06T16:57:36.922682Z"},"links":{"cited_paper":"/paper/2204.07523","citing_paper":"/paper/2507.12467"},"observation_digest":"sha256:c572d6d1d703a27b76361497b7ed1fdeccf92d3636cb1ab5ebdb62de1b2bf4b9","observation_id":"cb5b4973-9e27-4d45-af7a-dd4e0b9603c7","resolution":{"observed_at":"2026-08-06T16:57:36.922682Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2204.07523","last_updated":"2022-04-15T15:49:23Z","snapshot_observed_at":"2026-08-13T18:26:36.401540Z","submitted_at":"2022-04-15T15:49:23Z","title":"Non-Invertible Symmetries from Discrete Gauging and Completeness of the Spectrum","version":1},"cited_work":{"arxiv_id":"2204.07523","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2204.07523","snapshot_observed_at":"2026-07-03T12:58:08.509158Z","title":"Arias-Tamargo and D","venue":null,"work_id":"851ff78a-61d4-4298-9d57-bca50fa3d1a1","year":2022},"citing_paper":{"arxiv_id":"2605.06653","last_updated":"2026-06-24T13:52:20Z","snapshot_observed_at":"2026-08-08T13:23:42.843051Z","submitted_at":"2026-05-07T17:56:48Z","title":"From Baby Universes to Narain Moduli: Topological Boundary Averaging in SymTFTs","version":1},"reference_index":237,"source":"arxiv_source","source_observed_at":"2026-05-08T07:40:29.165507Z"},"links":{"cited_paper":"/paper/2204.07523","citing_paper":"/paper/2605.06653"},"observation_digest":"sha256:64ca7886cb7c6ae056ac86b785e5dd1787821a9cd990aa91a6bd1ca3af239e7e","observation_id":"5c9924c3-bff4-4433-9922-b61985053775","resolution":{"observed_at":"2026-05-11T20:56:11.789309Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2204.07523","last_updated":"2022-04-15T15:49:23Z","snapshot_observed_at":"2026-08-13T18:26:36.401540Z","submitted_at":"2022-04-15T15:49:23Z","title":"Non-Invertible Symmetries from Discrete Gauging and Completeness of the Spectrum","version":1},"cited_work":{"arxiv_id":"2204.07523","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2204.07523","snapshot_observed_at":"2026-07-03T12:58:08.509158Z","title":"Arias-Tamargo and D","venue":null,"work_id":"851ff78a-61d4-4298-9d57-bca50fa3d1a1","year":2022},"citing_paper":{"arxiv_id":"2605.30413","last_updated":"2026-05-28T18:00:00Z","snapshot_observed_at":"2026-08-14T17:35:45.289042Z","submitted_at":"2026-05-28T18:00:00Z","title":"Quark-Lepton Color-Flavor Unification","version":1},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-06-29T06:24:12.050012Z"},"links":{"cited_paper":"/paper/2204.07523","citing_paper":"/paper/2605.30413"},"observation_digest":"sha256:1b5c7f72dddb58ca28141b9a44f3055499247253f5205af4f656b52a2fd01948","observation_id":"d322a455-0f1b-43e3-9500-9ddbef2aedb6","resolution":{"observed_at":"2026-06-29T14:43:31.198680Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2204.07523","last_updated":"2022-04-15T15:49:23Z","snapshot_observed_at":"2026-08-13T18:26:36.401540Z","submitted_at":"2022-04-15T15:49:23Z","title":"Non-Invertible Symmetries from Discrete Gauging and Completeness of the Spectrum","version":1},"cited_work":{"arxiv_id":"2204.07523","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2204.07523","snapshot_observed_at":"2026-07-03T12:58:08.509158Z","title":"Arias-Tamargo and D","venue":null,"work_id":"851ff78a-61d4-4298-9d57-bca50fa3d1a1","year":2022},"citing_paper":{"arxiv_id":"2606.11527","last_updated":"2026-06-10T00:11:44Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2026-06-10T00:11:44Z","title":"Invariants of Sequential Circuits and Generalized Non-Abelian Statistics","version":1},"reference_index":95,"source":"pdf_text","source_observed_at":"2026-06-27T08:37:53.035253Z"},"links":{"cited_paper":"/paper/2204.07523","citing_paper":"/paper/2606.11527"},"observation_digest":"sha256:97ea05d707ea73ef02d6e353a8f7b5494c30ed1d7af29edbf5e2b98d3489e5ef","observation_id":"5ebf2a79-e232-47cf-a83c-48d7a1225bc3","resolution":{"observed_at":"2026-07-03T12:58:08.510732Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2204.07523/citation-record","integrity":"/paper/2204.07523/integrity","json":"/paper/2204.07523/citation-record.json","paper":"/paper/2204.07523"},"outbound":[],"paper":{"arxiv_id":"2204.07523","last_updated":"2022-04-15T15:49:23Z","latest_version":1,"primary_category":"hep-th","snapshot_observed_at":"2026-08-13T18:26:36.401540Z","submitted_at":"2022-04-15T15:49:23Z","title":"Non-Invertible Symmetries from Discrete Gauging and Completeness of the Spectrum"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 15 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 9 inbound Pith citation observations for arXiv:2204.07523."}