{"as_of":"2026-08-14T11:19:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:65ef6df6cc8090a05d893d09dc9cb6c528f77c21be5dd46fecb7e3044daca7ce","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":4,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":4,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-14T06:32:32.682623+00:00","state":"measured"},{"denominator":4,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T20:29:10.611816Z","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":"2026-05-24T08:56:32.316566Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2004.12557","last_updated":"2020-07-14T04:39:48Z","snapshot_observed_at":"2026-08-07T21:25:13.109954Z","submitted_at":"2020-04-27T02:41:04Z","title":"High Energy Modular Bootstrap, Global Symmetries and Defects","version":2},"cited_work":{"arxiv_id":"2004.12557","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2004.12557","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Pal and Z","venue":null,"work_id":"8437e737-0f25-415a-8720-7e7ee802ad14","year":2020},"citing_paper":{"arxiv_id":"2111.01139","last_updated":"2022-05-04T18:41:17Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2021-11-01T18:00:00Z","title":"Non-Invertible Duality Defects in 3+1 Dimensions","version":3},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-05-24T08:56:32.050768Z"},"links":{"cited_paper":"/paper/2004.12557","citing_paper":"/paper/2111.01139"},"observation_digest":"sha256:9938707b239f569477648abb3fdd3b7d09151631c7753deb3eaa68c3cfb2f02d","observation_id":"525cf25b-18dc-44e2-9dac-2c707e312756","resolution":{"observed_at":"2026-05-24T08:56:32.319091Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2004.12557","last_updated":"2020-07-14T04:39:48Z","snapshot_observed_at":"2026-08-07T21:25:13.109954Z","submitted_at":"2020-04-27T02:41:04Z","title":"High Energy Modular Bootstrap, Global Symmetries and Defects","version":2},"cited_work":{"arxiv_id":"2004.12557","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2004.12557","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Pal and Z","venue":null,"work_id":"8437e737-0f25-415a-8720-7e7ee802ad14","year":2020},"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":37,"source":"pdf_text","source_observed_at":"2026-05-24T07:32:13.524274Z"},"links":{"cited_paper":"/paper/2004.12557","citing_paper":"/paper/2308.00747"},"observation_digest":"sha256:317c3bf0d717e350a55bc67aca26ea4acffdf7c90a272238c083d76157692925","observation_id":"05cb37dd-ce5c-4ef4-a9e7-9c978473226d","resolution":{"observed_at":"2026-05-24T07:34:08.942811Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2004.12557","last_updated":"2020-07-14T04:39:48Z","snapshot_observed_at":"2026-08-07T21:25:13.109954Z","submitted_at":"2020-04-27T02:41:04Z","title":"High Energy Modular Bootstrap, Global Symmetries and Defects","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2004.12557","snapshot_observed_at":"2026-08-12T20:29:10.611816Z","title":"Pal and Z","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2411.09792","last_updated":"2024-11-14T20:05:25Z","snapshot_observed_at":"2026-08-14T11:00:35.654929Z","submitted_at":"2024-11-14T20:05:25Z","title":"Entanglement asymmetry and symmetry defects in boundary conformal field theory","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-12T20:29:10.611816Z"},"links":{"cited_paper":"/paper/2004.12557","citing_paper":"/paper/2411.09792"},"observation_digest":"sha256:8b6a983a066dcd550afceaf19158c9e7330c67437f07b24aa0b2292a8d48d29d","observation_id":"f87b2af4-8c65-436a-b729-762ec5ed670a","resolution":{"observed_at":"2026-08-12T20:29:10.611816Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2004.12557","last_updated":"2020-07-14T04:39:48Z","snapshot_observed_at":"2026-08-07T21:25:13.109954Z","submitted_at":"2020-04-27T02:41:04Z","title":"High Energy Modular Bootstrap, Global Symmetries and Defects","version":2},"cited_work":{"arxiv_id":"2004.12557","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2004.12557","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Pal and Z","venue":null,"work_id":"8437e737-0f25-415a-8720-7e7ee802ad14","year":2020},"citing_paper":{"arxiv_id":"2511.11343","last_updated":"2026-05-14T19:45:53Z","snapshot_observed_at":"2026-08-12T18:33:24.061577Z","submitted_at":"2025-11-14T14:31:18Z","title":"Global symmetries: locality, unitarity, and regularity","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-05-21T18:24:33.528016Z"},"links":{"cited_paper":"/paper/2004.12557","citing_paper":"/paper/2511.11343"},"observation_digest":"sha256:ef20a88c96ffea266aca00e9114cfd92c5b6b78dd667e18ac460bf0261de9902","observation_id":"2a005b2b-2336-4d2d-b5cb-7a28313dc360","resolution":{"observed_at":"2026-05-21T18:25:28.504491Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2004.12557/citation-record","integrity":"/paper/2004.12557/integrity","json":"/paper/2004.12557/citation-record.json","paper":"/paper/2004.12557"},"outbound":[],"paper":{"arxiv_id":"2004.12557","last_updated":"2020-07-14T04:39:48Z","latest_version":2,"primary_category":"hep-th","snapshot_observed_at":"2026-08-07T21:25:13.109954Z","submitted_at":"2020-04-27T02:41:04Z","title":"High Energy Modular Bootstrap, Global Symmetries and Defects"},"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":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2004.12557."}