{"as_of":"2026-08-08T23:05:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:0fca36647261a53f7ce431c51adba6649c2cbbbfa2cde83977b0aa682e7a95c8","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":18,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":18,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":18,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":18,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-08T00:16:14.560044Z","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":"2026-07-04T04:39:35.138900Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2304.02660","last_updated":"2024-03-02T19:10:29Z","snapshot_observed_at":"2026-08-08T17:54:06.122051Z","submitted_at":"2023-04-05T18:00:00Z","title":"Generalized Charges, Part I: Invertible Symmetries and Higher Representations","version":4},"cited_work":{"arxiv_id":"2304.02660","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2304.02660","snapshot_observed_at":"2026-07-04T04:39:35.138900Z","title":"Bhardwaj and S","venue":null,"work_id":"848a51d9-99a7-448d-84c9-95a852f39858","year":2024},"citing_paper":{"arxiv_id":"2305.18296","last_updated":"2023-06-07T01:44:22Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2023-05-29T17:59:50Z","title":"ICTP Lectures on (Non-)Invertible Generalized Symmetries","version":2},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-05-16T07:50:05.029267Z"},"links":{"cited_paper":"/paper/2304.02660","citing_paper":"/paper/2305.18296"},"observation_digest":"sha256:d518414f61dee593618396c2337022606c146d77a4ca728480159bd20b8fc241","observation_id":"f6e1e280-88b3-4eb3-9b2e-1273e4e8b4b1","resolution":{"observed_at":"2026-05-16T07:50:05.422061Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2304.02660","last_updated":"2024-03-02T19:10:29Z","snapshot_observed_at":"2026-08-08T17:54:06.122051Z","submitted_at":"2023-04-05T18:00:00Z","title":"Generalized Charges, Part I: Invertible Symmetries and Higher Representations","version":4},"cited_work":{"arxiv_id":"2304.02660","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2304.02660","snapshot_observed_at":"2026-07-04T04:39:35.138900Z","title":"Bhardwaj and S","venue":null,"work_id":"848a51d9-99a7-448d-84c9-95a852f39858","year":2024},"citing_paper":{"arxiv_id":"2307.07547","last_updated":"2023-09-08T13:13:28Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2023-07-14T18:00:00Z","title":"Lectures on Generalized Symmetries","version":2},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-05-17T14:14:51.258769Z"},"links":{"cited_paper":"/paper/2304.02660","citing_paper":"/paper/2307.07547"},"observation_digest":"sha256:2cf851bc3b848a147c4002f3e2e999d2dd30aba4cdf4dd5f75f84ed28b808e88","observation_id":"7876971e-7223-4600-8ad8-380640d1d6cb","resolution":{"observed_at":"2026-05-17T14:14:51.643597Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2304.02660","last_updated":"2024-03-02T19:10:29Z","snapshot_observed_at":"2026-08-08T17:54:06.122051Z","submitted_at":"2023-04-05T18:00:00Z","title":"Generalized Charges, Part I: Invertible Symmetries and Higher Representations","version":4},"cited_work":{"arxiv_id":"2304.02660","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2304.02660","snapshot_observed_at":"2026-07-04T04:39:35.138900Z","title":"Bhardwaj and S","venue":null,"work_id":"848a51d9-99a7-448d-84c9-95a852f39858","year":2024},"citing_paper":{"arxiv_id":"2405.05964","last_updated":"2025-11-10T11:49:13Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2024-05-09T17:59:00Z","title":"Lattice Models for Phases and Transitions with Non-Invertible Symmetries","version":5},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-05-24T01:16:57.628200Z"},"links":{"cited_paper":"/paper/2304.02660","citing_paper":"/paper/2405.05964"},"observation_digest":"sha256:93f3df59e975ea0afbbc3cbbe77ff0188ec7c07f9b1a0074f8647ef0a4e6be69","observation_id":"bbff9dd2-03c2-417d-81cb-d7c6b2db043c","resolution":{"observed_at":"2026-05-24T01:18:42.688707Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2304.02660","last_updated":"2024-03-02T19:10:29Z","snapshot_observed_at":"2026-08-08T17:54:06.122051Z","submitted_at":"2023-04-05T18:00:00Z","title":"Generalized Charges, Part I: Invertible Symmetries and Higher Representations","version":4},"cited_work":{"arxiv_id":"2304.02660","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2304.02660","snapshot_observed_at":"2026-07-04T04:39:35.138900Z","title":"Bhardwaj and S","venue":null,"work_id":"848a51d9-99a7-448d-84c9-95a852f39858","year":2024},"citing_paper":{"arxiv_id":"2408.01490","last_updated":"2026-04-07T15:09:27Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2024-08-02T18:00:01Z","title":"Defect Charges, Gapped Boundary Conditions, and the Symmetry TFT","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-05-23T22:02:57.740404Z"},"links":{"cited_paper":"/paper/2304.02660","citing_paper":"/paper/2408.01490"},"observation_digest":"sha256:ae3777dadb187b0e12a6b1ce47f05444196c924bcb1cee0f5214d3eb04ab9373","observation_id":"83dcefa7-c185-43f0-821e-c0a84664356f","resolution":{"observed_at":"2026-05-23T22:03:30.377118Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2304.02660","last_updated":"2024-03-02T19:10:29Z","snapshot_observed_at":"2026-08-08T17:54:06.122051Z","submitted_at":"2023-04-05T18:00:00Z","title":"Generalized Charges, Part I: Invertible Symmetries and Higher Representations","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2304.02660","snapshot_observed_at":"2026-08-07T05:43:06.330657Z","title":"Generalized charges, part I: Invertible symmetries and higher representations,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.07688","last_updated":"2025-06-09T12:20:01Z","snapshot_observed_at":"2026-08-08T20:22:35.712110Z","submitted_at":"2025-06-09T12:20:01Z","title":"Generalized Symmetries Phase Transitions with Local Quantum Fields","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T05:43:06.330657Z"},"links":{"cited_paper":"/paper/2304.02660","citing_paper":"/paper/2506.07688"},"observation_digest":"sha256:56098406b1d43f8da8d6a2a15487a96fba3a6bb1feac29bd9fceb4dde2dbff2a","observation_id":"4ff73009-64af-4a28-bc66-0efd59e04db8","resolution":{"observed_at":"2026-08-07T05:43:06.330657Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2304.02660","last_updated":"2024-03-02T19:10:29Z","snapshot_observed_at":"2026-08-08T17:54:06.122051Z","submitted_at":"2023-04-05T18:00:00Z","title":"Generalized Charges, Part I: Invertible Symmetries and Higher Representations","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2304.02660","snapshot_observed_at":"2026-08-06T15:07:36.541674Z","title":"Bhardwaj and S","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.17103","last_updated":"2025-08-06T00:28:59Z","snapshot_observed_at":"2026-08-07T04:51:25.561745Z","submitted_at":"2025-07-23T00:52:38Z","title":"Symmetry, Symmetry Topological Field Theory and von Neumann Algebra","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-06T15:07:36.541674Z"},"links":{"cited_paper":"/paper/2304.02660","citing_paper":"/paper/2507.17103"},"observation_digest":"sha256:814f30e342da2f515f75419aa03acc6b42c19432b5e8da656a6ac5512174b9b6","observation_id":"f9489c0e-9779-4599-ada1-e1db9ad3dc29","resolution":{"observed_at":"2026-08-06T15:07:36.541674Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2304.02660","last_updated":"2024-03-02T19:10:29Z","snapshot_observed_at":"2026-08-08T17:54:06.122051Z","submitted_at":"2023-04-05T18:00:00Z","title":"Generalized Charges, Part I: Invertible Symmetries and Higher Representations","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2304.02660","snapshot_observed_at":"2026-08-06T11:19:49.171495Z","title":"Bhardwaj and S","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.22976","last_updated":"2025-08-15T15:01:26Z","snapshot_observed_at":"2026-08-08T08:05:59.948362Z","submitted_at":"2025-07-30T18:00:00Z","title":"Non-Local Conserved Currents and Continuous Non-Invertible Symmetries","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-06T11:19:49.171495Z"},"links":{"cited_paper":"/paper/2304.02660","citing_paper":"/paper/2507.22976"},"observation_digest":"sha256:084459650c73ce1ea8c22022c59d9723da6e402eb7d6af4a338e093af4c0bee7","observation_id":"01381564-5148-47e1-bc9d-17d021c5ba9a","resolution":{"observed_at":"2026-08-06T11:19:49.171495Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2304.02660","last_updated":"2024-03-02T19:10:29Z","snapshot_observed_at":"2026-08-08T17:54:06.122051Z","submitted_at":"2023-04-05T18:00:00Z","title":"Generalized Charges, Part I: Invertible Symmetries and Higher Representations","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2304.02660","snapshot_observed_at":"2026-08-05T05:32:59.829671Z","title":"Bhardwaj and S","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.05408","last_updated":"2026-07-14T04:31:00Z","snapshot_observed_at":"2026-08-05T05:32:57.309101Z","submitted_at":"2025-09-05T18:00:02Z","title":"SymTFT actions, Condensable algebras and Categorical anomaly resolutions","version":3},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-05T05:32:59.829671Z"},"links":{"cited_paper":"/paper/2304.02660","citing_paper":"/paper/2509.05408"},"observation_digest":"sha256:ee47aaea6c3a81a1e7dc4a04e705a9ff54b3bf0b8bb9fa97c42b5a430779914c","observation_id":"6ac9a52a-8079-4012-b992-1e2f49ec1de7","resolution":{"observed_at":"2026-08-05T05:32:59.829671Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2304.02660","last_updated":"2024-03-02T19:10:29Z","snapshot_observed_at":"2026-08-08T17:54:06.122051Z","submitted_at":"2023-04-05T18:00:00Z","title":"Generalized Charges, Part I: Invertible Symmetries and Higher Representations","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2304.02660","snapshot_observed_at":"2026-08-04T21:32:50.670385Z","title":"Generalized charges, part I: Invertible symmetries and higher representations,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.07965","last_updated":"2025-09-12T17:14:56Z","snapshot_observed_at":"2026-08-04T21:32:45.176235Z","submitted_at":"2025-09-09T17:52:09Z","title":"Symmetry TFTs for Continuous Spacetime Symmetries","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-04T21:32:50.670385Z"},"links":{"cited_paper":"/paper/2304.02660","citing_paper":"/paper/2509.07965"},"observation_digest":"sha256:0b464167117f83c97d843458310e4a0679122a48cfbcb3fa6fe7a66f0a9888e8","observation_id":"9a1d6470-a43a-4400-9a7e-0a74fd37ed74","resolution":{"observed_at":"2026-08-04T21:32:50.670385Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2304.02660","last_updated":"2024-03-02T19:10:29Z","snapshot_observed_at":"2026-08-08T17:54:06.122051Z","submitted_at":"2023-04-05T18:00:00Z","title":"Generalized Charges, Part I: Invertible Symmetries and Higher Representations","version":4},"cited_work":{"arxiv_id":"2304.02660","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2304.02660","snapshot_observed_at":"2026-07-04T04:39:35.138900Z","title":"Bhardwaj and S","venue":null,"work_id":"848a51d9-99a7-448d-84c9-95a852f39858","year":2024},"citing_paper":{"arxiv_id":"2511.11343","last_updated":"2026-05-14T19:45:53Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2025-11-14T14:31:18Z","title":"Global symmetries: locality, unitarity, and regularity","version":2},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-05-21T18:24:33.528016Z"},"links":{"cited_paper":"/paper/2304.02660","citing_paper":"/paper/2511.11343"},"observation_digest":"sha256:2a66802e4d3dd7bb9c281b4dd380f002af00c241b75160da7b36c08735a02b70","observation_id":"a9c23ebb-b646-4375-b74c-c0ce0fe7a4b1","resolution":{"observed_at":"2026-05-21T18:25:28.563566Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2304.02660","last_updated":"2024-03-02T19:10:29Z","snapshot_observed_at":"2026-08-08T17:54:06.122051Z","submitted_at":"2023-04-05T18:00:00Z","title":"Generalized Charges, Part I: Invertible Symmetries and Higher Representations","version":4},"cited_work":{"arxiv_id":"2304.02660","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2304.02660","snapshot_observed_at":"2026-07-04T04:39:35.138900Z","title":"Bhardwaj and S","venue":null,"work_id":"848a51d9-99a7-448d-84c9-95a852f39858","year":2024},"citing_paper":{"arxiv_id":"2602.09105","last_updated":"2026-06-09T17:42:18Z","snapshot_observed_at":"2026-08-03T03:21:12.507924Z","submitted_at":"2026-02-09T19:00:17Z","title":"Generalized Families of QFTs","version":2},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-05-16T05:08:35.099138Z"},"links":{"cited_paper":"/paper/2304.02660","citing_paper":"/paper/2602.09105"},"observation_digest":"sha256:8e323c2c111d43130ef82ced84f172c7743b94ea6311b4aa0d5050cc51753d5e","observation_id":"11ccd675-b3b3-43bd-a111-0b292ad2e697","resolution":{"observed_at":"2026-05-16T05:10:40.262357Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2304.02660","last_updated":"2024-03-02T19:10:29Z","snapshot_observed_at":"2026-08-08T17:54:06.122051Z","submitted_at":"2023-04-05T18:00:00Z","title":"Generalized Charges, Part I: Invertible Symmetries and Higher Representations","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2304.02660","snapshot_observed_at":"2026-08-03T03:21:14.958344Z","title":"Generalized charges, part I: Invertible symmetries and higher representations,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2602.09105","last_updated":"2026-06-09T17:42:18Z","snapshot_observed_at":"2026-08-03T03:21:12.507924Z","submitted_at":"2026-02-09T19:00:17Z","title":"Generalized Families of QFTs","version":3},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-03T03:21:14.958344Z"},"links":{"cited_paper":"/paper/2304.02660","citing_paper":"/paper/2602.09105"},"observation_digest":"sha256:007de802fbad2984bc358cee8d05edc0ee219572575f719c73a0dc4e25241bcc","observation_id":"c3df6a8e-9f95-4ff4-b1bc-830a575c918b","resolution":{"observed_at":"2026-08-03T03:21:14.958344Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2304.02660","last_updated":"2024-03-02T19:10:29Z","snapshot_observed_at":"2026-08-08T17:54:06.122051Z","submitted_at":"2023-04-05T18:00:00Z","title":"Generalized Charges, Part I: Invertible Symmetries and Higher Representations","version":4},"cited_work":{"arxiv_id":"2304.02660","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2304.02660","snapshot_observed_at":"2026-07-04T04:39:35.138900Z","title":"Bhardwaj and S","venue":null,"work_id":"848a51d9-99a7-448d-84c9-95a852f39858","year":2024},"citing_paper":{"arxiv_id":"2605.24978","last_updated":"2026-05-24T10:18:13Z","snapshot_observed_at":"2026-08-08T04:09:38.229520Z","submitted_at":"2026-05-24T10:18:13Z","title":"Defect Conformal Manifolds along RG Domain Walls between $\\mathbb Z_N$-Parafermions and Minimal Models","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-06-30T00:10:46.586197Z"},"links":{"cited_paper":"/paper/2304.02660","citing_paper":"/paper/2605.24978"},"observation_digest":"sha256:436546125a7016a59128720591eb8425af3c1b9373a776855d6d5f9925dc7f19","observation_id":"6d296503-6745-4bfd-ab2a-3c91951b38dc","resolution":{"observed_at":"2026-06-30T00:14:04.256407Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2304.02660","last_updated":"2024-03-02T19:10:29Z","snapshot_observed_at":"2026-08-08T17:54:06.122051Z","submitted_at":"2023-04-05T18:00:00Z","title":"Generalized Charges, Part I: Invertible Symmetries and Higher Representations","version":4},"cited_work":{"arxiv_id":"2304.02660","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2304.02660","snapshot_observed_at":"2026-07-04T04:39:35.138900Z","title":"Bhardwaj and S","venue":null,"work_id":"848a51d9-99a7-448d-84c9-95a852f39858","year":2024},"citing_paper":{"arxiv_id":"2606.05543","last_updated":"2026-07-15T02:48:01Z","snapshot_observed_at":"2026-08-02T12:26:57.733415Z","submitted_at":"2026-06-04T00:58:08Z","title":"Notes on (-2)-form symmetries","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-06-28T00:46:19.482598Z"},"links":{"cited_paper":"/paper/2304.02660","citing_paper":"/paper/2606.05543"},"observation_digest":"sha256:23c6c96714adba04317b2d4aeab89b398713a21ae0ef54f24766779b1ea933dd","observation_id":"fc22e0c6-ffe7-4275-ab18-7cefae09b404","resolution":{"observed_at":"2026-07-02T13:57:00.378748Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2304.02660","last_updated":"2024-03-02T19:10:29Z","snapshot_observed_at":"2026-08-08T17:54:06.122051Z","submitted_at":"2023-04-05T18:00:00Z","title":"Generalized Charges, Part I: Invertible Symmetries and Higher Representations","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2304.02660","snapshot_observed_at":"2026-08-02T12:26:59.984862Z","title":"Bhardwaj and S","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.05543","last_updated":"2026-07-15T02:48:01Z","snapshot_observed_at":"2026-08-02T12:26:57.733415Z","submitted_at":"2026-06-04T00:58:08Z","title":"Notes on (-2)-form symmetries","version":2},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-02T12:26:59.984862Z"},"links":{"cited_paper":"/paper/2304.02660","citing_paper":"/paper/2606.05543"},"observation_digest":"sha256:9b53ee74d0539d0bf0fd2bbfa5725cb99c0df2739be6ea27e6f86f99f72a082d","observation_id":"f8f5c3ad-9c9c-4435-9281-22f5b5e06730","resolution":{"observed_at":"2026-08-02T12:26:59.984862Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2304.02660","last_updated":"2024-03-02T19:10:29Z","snapshot_observed_at":"2026-08-08T17:54:06.122051Z","submitted_at":"2023-04-05T18:00:00Z","title":"Generalized Charges, Part I: Invertible Symmetries and Higher Representations","version":4},"cited_work":{"arxiv_id":"2304.02660","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2304.02660","snapshot_observed_at":"2026-07-04T04:39:35.138900Z","title":"Bhardwaj and S","venue":null,"work_id":"848a51d9-99a7-448d-84c9-95a852f39858","year":2024},"citing_paper":{"arxiv_id":"2606.20319","last_updated":"2026-06-18T14:59:18Z","snapshot_observed_at":"2026-08-07T10:09:28.950020Z","submitted_at":"2026-06-18T14:59:18Z","title":"Dyonic lattices, $\\theta$-angles and axions in the Standard Model","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-06-26T16:49:30.237719Z"},"links":{"cited_paper":"/paper/2304.02660","citing_paper":"/paper/2606.20319"},"observation_digest":"sha256:502da70dcb73638b7a6178b5136f39f6560d110b14d9f2e0753f9414c35779d4","observation_id":"870b87cf-cb33-4bb9-a875-b6747b170a99","resolution":{"observed_at":"2026-07-04T04:39:35.140374Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2304.02660","last_updated":"2024-03-02T19:10:29Z","snapshot_observed_at":"2026-08-08T17:54:06.122051Z","submitted_at":"2023-04-05T18:00:00Z","title":"Generalized Charges, Part I: Invertible Symmetries and Higher Representations","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2304.02660","snapshot_observed_at":"2026-08-01T21:32:12.369388Z","title":"Bhardwaj and S","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.16099","last_updated":"2026-08-06T15:32:09Z","snapshot_observed_at":"2026-08-08T22:17:08.358486Z","submitted_at":"2026-07-17T16:32:42Z","title":"Symmetry extension by condensation defects II: general dimensions and higher-groups","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-01T21:32:12.369388Z"},"links":{"cited_paper":"/paper/2304.02660","citing_paper":"/paper/2607.16099"},"observation_digest":"sha256:20a3d2f24ac0819a98b349c4910951f1ee6f490f4f0b5f62e0def1ebf8703c3f","observation_id":"7c0bc83d-76ff-472f-9a38-4cdc710280e0","resolution":{"observed_at":"2026-08-01T21:32:12.369388Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2304.02660","last_updated":"2024-03-02T19:10:29Z","snapshot_observed_at":"2026-08-08T17:54:06.122051Z","submitted_at":"2023-04-05T18:00:00Z","title":"Generalized Charges, Part I: Invertible Symmetries and Higher Representations","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2304.02660","snapshot_observed_at":"2026-08-08T00:16:14.560044Z","title":"Generalized charges, part I: Invertible symmetries and higher representations,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2608.04248","last_updated":"2026-08-04T21:58:54Z","snapshot_observed_at":"2026-08-08T22:11:37.714867Z","submitted_at":"2026-08-04T21:58:54Z","title":"Tilts from 2-Groups","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-08T00:16:14.560044Z"},"links":{"cited_paper":"/paper/2304.02660","citing_paper":"/paper/2608.04248"},"observation_digest":"sha256:72ad4a34bfab33fa2e628ae743b6c3e9f1982b882a7f86a8fe12a0a7da002bd5","observation_id":"fc5fea99-5c05-4ada-982a-f03503e4172c","resolution":{"observed_at":"2026-08-08T00:16:14.560044Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2304.02660/citation-record","integrity":"/paper/2304.02660/integrity","json":"/paper/2304.02660/citation-record.json","paper":"/paper/2304.02660"},"outbound":[],"paper":{"arxiv_id":"2304.02660","last_updated":"2024-03-02T19:10:29Z","latest_version":4,"primary_category":"hep-th","snapshot_observed_at":"2026-08-08T17:54:06.122051Z","submitted_at":"2023-04-05T18:00:00Z","title":"Generalized Charges, Part I: Invertible Symmetries and Higher Representations"},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 18 inbound Pith citation observations for arXiv:2304.02660."}