{"as_of":"2026-08-13T06:52:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:332e3b404621c4d05bb2aa253fd28a0af2c3f53b4a0d7a38a980a159e2bf56b5","coverage":[{"denominator":7,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":7,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T11:17:29.819945Z","state":"measured"},{"denominator":7,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":7,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+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/2411.18453/citation-record","integrity":"/paper/2411.18453/integrity","json":"/paper/2411.18453/citation-record.json","paper":"/paper/2411.18453"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:17:29.907391Z","title":"Andruskiewitsch and J","venue":null,"work_id":"1188127e-38fa-4090-8dc0-6b94b46e9107","year":2007},"citing_paper":{"arxiv_id":"2411.18453","last_updated":"2025-02-13T16:57:23Z","snapshot_observed_at":"2026-08-12T11:09:26.493933Z","submitted_at":"2024-11-27T15:45:10Z","title":"Nondegenerate module categories","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-12T11:17:29.795282Z"},"links":{"citing_paper":"/paper/2411.18453"},"observation_digest":"sha256:b3c7751143e210d7d9163e5acceff94ecb74fb618f8b0cde50c65d0773ee0150","observation_id":"74a1f36b-8b90-4f1d-a74c-ccc71c7c11f6","resolution":{"observed_at":"2026-08-12T11:17:29.911065Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2307.14764","last_updated":"2025-05-07T13:20:07Z","snapshot_observed_at":"2026-08-13T00:38:00.697112Z","submitted_at":"2023-07-27T10:49:56Z","title":"Reflective centers of module categories and quantum K-matrices","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2307.14764","snapshot_observed_at":"2026-08-12T11:17:29.807415Z","title":"Kolb, Braided module categories via quantum symmetric pairs , Proc","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2411.18453","last_updated":"2025-02-13T16:57:23Z","snapshot_observed_at":"2026-08-12T11:09:26.493933Z","submitted_at":"2024-11-27T15:45:10Z","title":"Nondegenerate module categories","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-12T11:17:29.807415Z"},"links":{"cited_paper":"/paper/2307.14764","citing_paper":"/paper/2411.18453"},"observation_digest":"sha256:bb2085074f9696017044911efa68eccc5256c4dd57ffbd3b1c281cd07f1d2a29","observation_id":"801b34d7-67bc-425e-94e9-c560ea985d95","resolution":{"observed_at":"2026-08-12T11:17:29.807415Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:17:29.862501Z","title":"Shimizu, Recent developments of the categorical Verlinde formula , Proceedings of the Meeting for Study of Number Theory, Hopf Algebras and Related Topics, 20 19, pp","venue":null,"work_id":"6579cc25-8efb-4073-8c8e-af7fdf26baec","year":2020},"citing_paper":{"arxiv_id":"2411.18453","last_updated":"2025-02-13T16:57:23Z","snapshot_observed_at":"2026-08-12T11:09:26.493933Z","submitted_at":"2024-11-27T15:45:10Z","title":"Nondegenerate module categories","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-12T11:17:29.815837Z"},"links":{"citing_paper":"/paper/2411.18453"},"observation_digest":"sha256:b8168fd422ca7eabf3931fb4605f4d59463a798ed5a105b343222057da31f6b1","observation_id":"8fdce7a6-f9e6-469a-bb29-8ef4454d5b11","resolution":{"observed_at":"2026-08-12T11:17:29.866687Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T11:17:29.895336Z","title":"Balagovi´ c and S","venue":null,"work_id":"b9daad4a-f1a9-42ca-832f-376e3724c1e2","year":2019},"citing_paper":{"arxiv_id":"2411.18453","last_updated":"2025-02-13T16:57:23Z","snapshot_observed_at":"2026-08-12T11:09:26.493933Z","submitted_at":"2024-11-27T15:45:10Z","title":"Nondegenerate module categories","version":2},"reference_index":2001,"source":"pdf_text","source_observed_at":"2026-08-12T11:17:29.799517Z"},"links":{"citing_paper":"/paper/2411.18453"},"observation_digest":"sha256:0490568992acf8ddb3dfe8eeae60de2a593212d4b85884da7fa87926b547e652","observation_id":"c7c0df89-82d2-4062-8341-9c6d499bca15","resolution":{"observed_at":"2026-08-12T11:17:29.898829Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T11:17:29.850238Z","title":"Wen, Colloquium: zoo of quantum-topological phases of matter , Rev","venue":null,"work_id":"68e27ecb-40bd-4006-8b3a-fbc7b5c4e969","year":2017},"citing_paper":{"arxiv_id":"2411.18453","last_updated":"2025-02-13T16:57:23Z","snapshot_observed_at":"2026-08-12T11:09:26.493933Z","submitted_at":"2024-11-27T15:45:10Z","title":"Nondegenerate module categories","version":2},"reference_index":2010,"source":"pdf_text","source_observed_at":"2026-08-12T11:17:29.819945Z"},"links":{"citing_paper":"/paper/2411.18453"},"observation_digest":"sha256:37998c3a5e695650b98c9ff53c9d25a9f6d75b97a098b1b6c76b9a699eff1e6d","observation_id":"73a95da4-e52b-4857-aa51-9d396b4c782a","resolution":{"observed_at":"2026-08-12T11:17:29.855192Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T11:17:29.873831Z","title":null,"venue":null,"work_id":"958e97b1-2641-41b3-80a5-729071b25af2","year":1988},"citing_paper":{"arxiv_id":"2411.18453","last_updated":"2025-02-13T16:57:23Z","snapshot_observed_at":"2026-08-12T11:09:26.493933Z","submitted_at":"2024-11-27T15:45:10Z","title":"Nondegenerate module categories","version":2},"reference_index":2012,"source":"pdf_text","source_observed_at":"2026-08-12T11:17:29.811582Z"},"links":{"citing_paper":"/paper/2411.18453"},"observation_digest":"sha256:49e277f6b499057e7013ffefa86f69b3554f42ab0d83afe5887678a58120f4d0","observation_id":"d1b9601a-a774-4efe-89fd-0257079e177a","resolution":{"observed_at":"2026-08-12T11:17:29.877143Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T11:17:29.884245Z","title":"Enriquez, Quasi-reﬂection algebras and cyclotomic associators , Selecta Math","venue":null,"work_id":"986cdd7d-ce6b-422b-8dc5-204d82e2bdb9","year":2007},"citing_paper":{"arxiv_id":"2411.18453","last_updated":"2025-02-13T16:57:23Z","snapshot_observed_at":"2026-08-12T11:09:26.493933Z","submitted_at":"2024-11-27T15:45:10Z","title":"Nondegenerate module categories","version":2},"reference_index":2015,"source":"pdf_text","source_observed_at":"2026-08-12T11:17:29.803504Z"},"links":{"citing_paper":"/paper/2411.18453"},"observation_digest":"sha256:6bb62d03403f891d3e758586169a54d99f675fb14c6044821781faa11b06b023","observation_id":"91328ed9-cf1f-4970-8b81-481c465d559c","resolution":{"observed_at":"2026-08-12T11:17:29.887927Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2411.18453","last_updated":"2025-02-13T16:57:23Z","latest_version":2,"primary_category":"math.QA","snapshot_observed_at":"2026-08-12T11:09:26.493933Z","submitted_at":"2024-11-27T15:45:10Z","title":"Nondegenerate module categories"},"reference_resolution":{"displayed":7,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":2,"verified_exact":0,"verified_fuzzy":5},"total_outbound_references":7},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 7 of 7 outbound references and 0 inbound Pith citation observations for arXiv:2411.18453."}