{"as_of":"2026-08-17T01:04:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:2b92dd139c5bfbe143cd1184faea1f668dc7343a5e07f1d65b9084485fa0cbe4","coverage":[{"denominator":22,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":22,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T14:47:28.366210Z","state":"measured"},{"denominator":22,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":22,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+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/2608.04940/citation-record","integrity":"/paper/2608.04940/integrity","json":"/paper/2608.04940/citation-record.json","paper":"/paper/2608.04940"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"1812.02452","last_updated":"2021-02-26T06:55:14Z","snapshot_observed_at":"2026-08-16T23:12:27.877933Z","submitted_at":"2018-12-06T10:52:06Z","title":"Tannakian categories in positive characteristic","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1812.02452","snapshot_observed_at":"2026-08-15T14:47:28.279056Z","title":"Tannakian categories in positive characteristic","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2608.04940","last_updated":"2026-08-05T15:06:04Z","snapshot_observed_at":"2026-08-17T01:00:27.872674Z","submitted_at":"2026-08-05T15:06:04Z","title":"Classification of symmetric fusion categories over $\\mathbb{R}$","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-15T14:47:28.279056Z"},"links":{"cited_paper":"/paper/1812.02452","citing_paper":"/paper/2608.04940"},"observation_digest":"sha256:25f3baab991673da3617191735c61b3c2801c0d5e085de1a5316366f90fad65d","observation_id":"3fbac6b7-7d83-4d6a-a37b-64bf0b418e80","resolution":{"observed_at":"2026-08-15T14:47:28.279056Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2111.09080","last_updated":"2022-06-26T08:29:58Z","snapshot_observed_at":"2026-08-17T01:04:05.155281Z","submitted_at":"2021-11-17T12:52:00Z","title":"Compact Semisimple 2-Categories","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2111.09080","snapshot_observed_at":"2026-08-15T14:47:28.286050Z","title":"Compact semisimple 2-categories","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2608.04940","last_updated":"2026-08-05T15:06:04Z","snapshot_observed_at":"2026-08-17T01:00:27.872674Z","submitted_at":"2026-08-05T15:06:04Z","title":"Classification of symmetric fusion categories over $\\mathbb{R}$","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-15T14:47:28.286050Z"},"links":{"cited_paper":"/paper/2111.09080","citing_paper":"/paper/2608.04940"},"observation_digest":"sha256:e6f2ff62950ac9f860930c972dc3c1e861321d9fc0aff86f7ce73b0fcbf0dfe6","observation_id":"7327abe5-eee2-4fb1-8de8-25caff90b759","resolution":{"observed_at":"2026-08-15T14:47:28.286050Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2205.06453","last_updated":"2023-06-14T05:56:10Z","snapshot_observed_at":"2026-08-16T17:00:37.117988Z","submitted_at":"2022-05-13T05:38:16Z","title":"Rigid and Separable Algebras in Fusion 2-Categories","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2205.06453","snapshot_observed_at":"2026-08-15T14:47:28.291022Z","title":"D \\' e coppet","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2608.04940","last_updated":"2026-08-05T15:06:04Z","snapshot_observed_at":"2026-08-17T01:00:27.872674Z","submitted_at":"2026-08-05T15:06:04Z","title":"Classification of symmetric fusion categories over $\\mathbb{R}$","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-15T14:47:28.291022Z"},"links":{"cited_paper":"/paper/2205.06453","citing_paper":"/paper/2608.04940"},"observation_digest":"sha256:7a15be22f8199a55e45339ba5a44b877941d65cd7d68d0c302488dde0d9860fa","observation_id":"5662ca29-92fd-4549-8fb4-66ba3d216372","resolution":{"observed_at":"2026-08-15T14:47:28.291022Z","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":"2026-08-15T14:47:28.679579Z","title":null,"venue":null,"work_id":"978ac3c2-e2c5-415e-9d31-15529b86233b","year":1990},"citing_paper":{"arxiv_id":"2608.04940","last_updated":"2026-08-05T15:06:04Z","snapshot_observed_at":"2026-08-17T01:00:27.872674Z","submitted_at":"2026-08-05T15:06:04Z","title":"Classification of symmetric fusion categories over $\\mathbb{R}$","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-15T14:47:28.295165Z"},"links":{"citing_paper":"/paper/2608.04940"},"observation_digest":"sha256:6ae5dbd4ceae3fedf32032a5ac9e1db203426452738f6ccc122e98ba5a92a691","observation_id":"cc331f75-87ff-4328-bae3-f312b06d151d","resolution":{"observed_at":"2026-08-15T14:47:28.684066Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-15T14:47:28.666384Z","title":null,"venue":null,"work_id":"ef4f56b5-4e68-4032-b819-cbcbfd6bb2a3","year":2002},"citing_paper":{"arxiv_id":"2608.04940","last_updated":"2026-08-05T15:06:04Z","snapshot_observed_at":"2026-08-17T01:00:27.872674Z","submitted_at":"2026-08-05T15:06:04Z","title":"Classification of symmetric fusion categories over $\\mathbb{R}$","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-15T14:47:28.299025Z"},"links":{"citing_paper":"/paper/2608.04940"},"observation_digest":"sha256:229002f5e00ca9240872f883fde5a32a709127f2e9c02ee8bb258369c6ddd462","observation_id":"827a061e-6446-4665-8bfc-88c3a271700c","resolution":{"observed_at":"2026-08-15T14:47:28.670431Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2411.05907","last_updated":"2024-11-08T19:00:01Z","snapshot_observed_at":"2026-08-16T13:01:39.425819Z","submitted_at":"2024-11-08T19:00:01Z","title":"The Classification of Fusion 2-Categories","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.05907","snapshot_observed_at":"2026-08-15T14:47:28.302886Z","title":"D \\' e coppet, Peter Huston, Theo Johnson-Freyd, Dmitri Nikshych, David Penneys, Julia Plavnik, David Reutter, and Matthew Yu","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2608.04940","last_updated":"2026-08-05T15:06:04Z","snapshot_observed_at":"2026-08-17T01:00:27.872674Z","submitted_at":"2026-08-05T15:06:04Z","title":"Classification of symmetric fusion categories over $\\mathbb{R}$","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-15T14:47:28.302886Z"},"links":{"cited_paper":"/paper/2411.05907","citing_paper":"/paper/2608.04940"},"observation_digest":"sha256:1c4363b0452b720a5a880ac7aac72837e632324362da4733a7411eda402b0f6f","observation_id":"b4215f8b-f99f-4ca1-adb5-c8bf22c4d334","resolution":{"observed_at":"2026-08-15T14:47:28.302886Z","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":"2026-08-15T14:47:28.653124Z","title":"Deligne and J","venue":null,"work_id":"7e82cb2a-7d82-4b45-b6f8-494e17266443","year":1982},"citing_paper":{"arxiv_id":"2608.04940","last_updated":"2026-08-05T15:06:04Z","snapshot_observed_at":"2026-08-17T01:00:27.872674Z","submitted_at":"2026-08-05T15:06:04Z","title":"Classification of symmetric fusion categories over $\\mathbb{R}$","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-15T14:47:28.307437Z"},"links":{"citing_paper":"/paper/2608.04940"},"observation_digest":"sha256:da317011174eced8ce9e42d73cc7aba7b38fa5cbd1ed62449553293cd6249f11","observation_id":"f2fe332c-fcf4-4a26-94d7-8da0b42815db","resolution":{"observed_at":"2026-08-15T14:47:28.657270Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1009.2117","last_updated":"2011-09-06T20:18:51Z","snapshot_observed_at":"2026-08-15T05:09:05.692914Z","submitted_at":"2010-09-10T23:01:09Z","title":"The Witt group of non-degenerate braided fusion categories","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1009.2117","snapshot_observed_at":"2026-08-15T14:47:28.311043Z","title":"The Witt group of non-degenerate braided fusion categories","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2608.04940","last_updated":"2026-08-05T15:06:04Z","snapshot_observed_at":"2026-08-17T01:00:27.872674Z","submitted_at":"2026-08-05T15:06:04Z","title":"Classification of symmetric fusion categories over $\\mathbb{R}$","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-15T14:47:28.311043Z"},"links":{"cited_paper":"/paper/1009.2117","citing_paper":"/paper/2608.04940"},"observation_digest":"sha256:d31c047c427ab3e4f89b99a7098feecdbd1f1e8ec88ccfcd8139ed2b50888d4e","observation_id":"c6d0f242-d2dd-4f78-8ae8-92b869cdb684","resolution":{"observed_at":"2026-08-15T14:47:28.311043Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1312.7188","last_updated":"2018-03-15T23:31:15Z","snapshot_observed_at":"2026-08-14T23:50:15.722601Z","submitted_at":"2013-12-27T04:36:34Z","title":"Dualizable tensor categories","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1312.7188","snapshot_observed_at":"2026-08-15T14:47:28.314891Z","title":"Dualizable tensor categories , volume 268 of Memoirs of the American Mathematical Society","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2608.04940","last_updated":"2026-08-05T15:06:04Z","snapshot_observed_at":"2026-08-17T01:00:27.872674Z","submitted_at":"2026-08-05T15:06:04Z","title":"Classification of symmetric fusion categories over $\\mathbb{R}$","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-15T14:47:28.314891Z"},"links":{"cited_paper":"/paper/1312.7188","citing_paper":"/paper/2608.04940"},"observation_digest":"sha256:2203e563b3dad3984da098fe59bf87a383f13535f738f355d75d5572a606f986","observation_id":"a2fa35e8-3bda-4e4c-8fc5-270dd667f9e2","resolution":{"observed_at":"2026-08-15T14:47:28.314891Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1102.0657","last_updated":"2012-02-05T12:08:12Z","snapshot_observed_at":"2026-08-15T04:55:40.364196Z","submitted_at":"2011-02-03T12:02:13Z","title":"Descent and forms of tensor categories","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1102.0657","snapshot_observed_at":"2026-08-15T14:47:28.319040Z","title":"Descent and forms of tensor categories","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2608.04940","last_updated":"2026-08-05T15:06:04Z","snapshot_observed_at":"2026-08-17T01:00:27.872674Z","submitted_at":"2026-08-05T15:06:04Z","title":"Classification of symmetric fusion categories over $\\mathbb{R}$","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-15T14:47:28.319040Z"},"links":{"cited_paper":"/paper/1102.0657","citing_paper":"/paper/2608.04940"},"observation_digest":"sha256:707200d5e0867a8b7dc519bcadb08a71ba5dd6f2aebbdaba43d4d14ab9b4b7e9","observation_id":"716df510-7c27-42b3-a677-e97b390190db","resolution":{"observed_at":"2026-08-15T14:47:28.319040Z","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":"2026-08-15T14:47:28.639279Z","title":"Tensor categories","venue":null,"work_id":"3c3c6888-b0f7-4556-a601-44b5d16e1c80","year":2015},"citing_paper":{"arxiv_id":"2608.04940","last_updated":"2026-08-05T15:06:04Z","snapshot_observed_at":"2026-08-17T01:00:27.872674Z","submitted_at":"2026-08-05T15:06:04Z","title":"Classification of symmetric fusion categories over $\\mathbb{R}$","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-15T14:47:28.323006Z"},"links":{"citing_paper":"/paper/2608.04940"},"observation_digest":"sha256:654c010908143b85d7418606329d6b492c6ee6fcfaa65166f900755c12f1869d","observation_id":"deb6a419-c711-4eaa-943a-8f641f62b222","resolution":{"observed_at":"2026-08-15T14:47:28.643937Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0909.3140","last_updated":"2009-12-29T02:10:39Z","snapshot_observed_at":"2026-08-16T22:05:19.183889Z","submitted_at":"2009-09-17T02:17:33Z","title":"Fusion categories and homotopy theory","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0909.3140","snapshot_observed_at":"2026-08-15T14:47:28.326670Z","title":"Fusion categories and homotopy theory","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2608.04940","last_updated":"2026-08-05T15:06:04Z","snapshot_observed_at":"2026-08-17T01:00:27.872674Z","submitted_at":"2026-08-05T15:06:04Z","title":"Classification of symmetric fusion categories over $\\mathbb{R}$","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-15T14:47:28.326670Z"},"links":{"cited_paper":"/paper/0909.3140","citing_paper":"/paper/2608.04940"},"observation_digest":"sha256:b6595c0e7664d04ceda6f50bda2ae51047cf38a39f7dfd96abe3717bd0b95359","observation_id":"45cb4eb4-4b12-486b-85a9-e53393e99240","resolution":{"observed_at":"2026-08-15T14:47:28.326670Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"math/0301027","last_updated":"2003-03-30T21:01:29Z","snapshot_observed_at":"2026-07-07T05:33:07.952036Z","submitted_at":"2003-01-04T00:00:32Z","title":"Finite tensor categories","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"math/0301027","snapshot_observed_at":"2026-08-15T14:47:28.330639Z","title":"Etingof and V","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2608.04940","last_updated":"2026-08-05T15:06:04Z","snapshot_observed_at":"2026-08-17T01:00:27.872674Z","submitted_at":"2026-08-05T15:06:04Z","title":"Classification of symmetric fusion categories over $\\mathbb{R}$","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-15T14:47:28.330639Z"},"links":{"cited_paper":"/paper/math/0301027","citing_paper":"/paper/2608.04940"},"observation_digest":"sha256:96311c9685372ce7d09c4d016984c42048d617700305e7719e04243eda1f62e9","observation_id":"256c9d83-c757-4650-85a1-610c036fecab","resolution":{"observed_at":"2026-08-15T14:47:28.330639Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.01162","last_updated":"2026-08-05T14:57:02Z","snapshot_observed_at":"2026-08-17T01:01:10.925687Z","submitted_at":"2024-04-01T15:09:13Z","title":"The 2-character theory of finite 2-groups","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.01162","snapshot_observed_at":"2026-08-15T14:47:28.334376Z","title":"The 2-character theory of finite 2-groups","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2608.04940","last_updated":"2026-08-05T15:06:04Z","snapshot_observed_at":"2026-08-17T01:00:27.872674Z","submitted_at":"2026-08-05T15:06:04Z","title":"Classification of symmetric fusion categories over $\\mathbb{R}$","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-15T14:47:28.334376Z"},"links":{"cited_paper":"/paper/2404.01162","citing_paper":"/paper/2608.04940"},"observation_digest":"sha256:21984a62164761ca495e1237f6750ccbc5deb993424b0efc5acec27faf778317","observation_id":"013026de-b32a-4e8e-924c-b3ff493ae686","resolution":{"observed_at":"2026-08-15T14:47:28.334376Z","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":"2026-08-15T14:47:28.627120Z","title":"Joyal and R","venue":null,"work_id":"bc2fa2fa-8897-46d4-97e4-f949d994eb41","year":1993},"citing_paper":{"arxiv_id":"2608.04940","last_updated":"2026-08-05T15:06:04Z","snapshot_observed_at":"2026-08-17T01:00:27.872674Z","submitted_at":"2026-08-05T15:06:04Z","title":"Classification of symmetric fusion categories over $\\mathbb{R}$","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-15T14:47:28.338186Z"},"links":{"citing_paper":"/paper/2608.04940"},"observation_digest":"sha256:af395f0ab7ed80f1e76ca5ed5fcde2cf4601bc55e482a38ad625d2e5ed66516d","observation_id":"b7ead3cd-0a94-40ce-99b6-a3c9a0919bc4","resolution":{"observed_at":"2026-08-15T14:47:28.631036Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1706.06904","last_updated":"2019-11-21T15:24:07Z","snapshot_observed_at":"2026-08-14T20:52:34.006463Z","submitted_at":"2017-06-21T13:47:33Z","title":"Semisimple and separable algebras in multi-fusion categories","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1706.06904","snapshot_observed_at":"2026-08-15T14:47:28.341515Z","title":"Semisimple and separable algebras in multi-fusion categories","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2608.04940","last_updated":"2026-08-05T15:06:04Z","snapshot_observed_at":"2026-08-17T01:00:27.872674Z","submitted_at":"2026-08-05T15:06:04Z","title":"Classification of symmetric fusion categories over $\\mathbb{R}$","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-15T14:47:28.341515Z"},"links":{"cited_paper":"/paper/1706.06904","citing_paper":"/paper/2608.04940"},"observation_digest":"sha256:7c1044aa3f3c8f37754d635c3415f413e8d649f856620729a2f391e6085b4630","observation_id":"a8f1a104-32d7-492c-baf5-29196b17a4bf","resolution":{"observed_at":"2026-08-15T14:47:28.341515Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2107.03858","last_updated":"2024-07-16T12:14:47Z","snapshot_observed_at":"2026-08-17T00:59:52.779404Z","submitted_at":"2021-07-08T14:16:43Z","title":"Categories of quantum liquids II","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2107.03858","snapshot_observed_at":"2026-08-15T14:47:28.345422Z","title":"Categories of quantum liquids II","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2608.04940","last_updated":"2026-08-05T15:06:04Z","snapshot_observed_at":"2026-08-17T01:00:27.872674Z","submitted_at":"2026-08-05T15:06:04Z","title":"Classification of symmetric fusion categories over $\\mathbb{R}$","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-15T14:47:28.345422Z"},"links":{"cited_paper":"/paper/2107.03858","citing_paper":"/paper/2608.04940"},"observation_digest":"sha256:461f48eee18fe7e6932f0ecdf2e73e012eff5a8502f97d812a22655eae58fdf2","observation_id":"c5c16f69-d3a5-4432-92f2-0e75566699f7","resolution":{"observed_at":"2026-08-15T14:47:28.345422Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"math/0111139","last_updated":"2001-11-12T21:08:11Z","snapshot_observed_at":"2026-08-10T10:10:25.075428Z","submitted_at":"2001-11-12T21:08:11Z","title":"Module categories, weak Hopf algebras and modular invariants","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"math/0111139","snapshot_observed_at":"2026-08-15T14:47:28.349498Z","title":"Module categories, weak Hopf algebras and modular invariants","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2608.04940","last_updated":"2026-08-05T15:06:04Z","snapshot_observed_at":"2026-08-17T01:00:27.872674Z","submitted_at":"2026-08-05T15:06:04Z","title":"Classification of symmetric fusion categories over $\\mathbb{R}$","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-15T14:47:28.349498Z"},"links":{"cited_paper":"/paper/math/0111139","citing_paper":"/paper/2608.04940"},"observation_digest":"sha256:8c0f7e7692551ccf5af342cd59b8169f6e89807047cab615ce4663b506db2f22","observation_id":"1a441067-ccd9-438e-a988-fd06ac7b2c53","resolution":{"observed_at":"2026-08-15T14:47:28.349498Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1503.01492","last_updated":"2015-03-04T22:47:33Z","snapshot_observed_at":"2026-08-14T22:57:37.918219Z","submitted_at":"2015-03-04T22:47:33Z","title":"On symmetric fusion categories in positive characteristic","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1503.01492","snapshot_observed_at":"2026-08-15T14:47:28.353650Z","title":"On symmetric fusion categories in positive characteristic","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2608.04940","last_updated":"2026-08-05T15:06:04Z","snapshot_observed_at":"2026-08-17T01:00:27.872674Z","submitted_at":"2026-08-05T15:06:04Z","title":"Classification of symmetric fusion categories over $\\mathbb{R}$","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-15T14:47:28.353650Z"},"links":{"cited_paper":"/paper/1503.01492","citing_paper":"/paper/2608.04940"},"observation_digest":"sha256:79a889849c2b1a3ba72ea885a7262199366d0c3389994cd9de4c3455c3a52d33","observation_id":"2e110879-bbc5-4f84-b201-fd82c38ffdb9","resolution":{"observed_at":"2026-08-15T14:47:28.353650Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2401.02354","last_updated":"2024-07-24T20:15:00Z","snapshot_observed_at":"2026-08-16T14:29:48.423322Z","submitted_at":"2024-01-04T16:52:11Z","title":"Fusion Categories over Non-Algebraically Closed Fields","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.02354","snapshot_observed_at":"2026-08-15T14:47:28.357961Z","title":"Fusion categories over non-algebraically closed fields","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.04940","last_updated":"2026-08-05T15:06:04Z","snapshot_observed_at":"2026-08-17T01:00:27.872674Z","submitted_at":"2026-08-05T15:06:04Z","title":"Classification of symmetric fusion categories over $\\mathbb{R}$","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-15T14:47:28.357961Z"},"links":{"cited_paper":"/paper/2401.02354","citing_paper":"/paper/2608.04940"},"observation_digest":"sha256:8ace8c6d5aae3da0cacc936ba286b8d987681efcd560ee76e5b8fbcf975a498b","observation_id":"2dc2ca62-2cc9-4755-82a1-a152c8de3ef6","resolution":{"observed_at":"2026-08-15T14:47:28.357961Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"math/0011036","last_updated":"2000-11-06T21:43:47Z","snapshot_observed_at":"2026-07-07T05:24:32.487523Z","submitted_at":"2000-11-06T21:43:47Z","title":"Finite quantum groupoids and inclusions of finite type","version":1},"cited_work":{"arxiv_id":"math/0011036","doi":null,"metadata_source":"pith","pith_arxiv_id":"math/0011036","snapshot_observed_at":"2026-08-15T14:47:28.420785Z","title":"Finite quantum groupoids and inclusions of finite type","venue":"math.QA","work_id":"2edf45ca-03e0-4302-916a-2fc361284441","year":2000},"citing_paper":{"arxiv_id":"2608.04940","last_updated":"2026-08-05T15:06:04Z","snapshot_observed_at":"2026-08-17T01:00:27.872674Z","submitted_at":"2026-08-05T15:06:04Z","title":"Classification of symmetric fusion categories over $\\mathbb{R}$","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-15T14:47:28.361946Z"},"links":{"cited_paper":"/paper/math/0011036","citing_paper":"/paper/2608.04940"},"observation_digest":"sha256:cc502b000a8a3fd12bed77aa5a123179f76973a3de3664151308dd37180fdadb","observation_id":"38bd982d-4e20-494c-aa08-f9d97e348d18","resolution":{"observed_at":"2026-08-15T14:47:28.425529Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"math/0301253","last_updated":"2003-01-22T19:33:49Z","snapshot_observed_at":"2026-07-07T05:33:20.893442Z","submitted_at":"2003-01-22T19:33:49Z","title":"Adjointable monoidal functors and quantum groupoids","version":1},"cited_work":{"arxiv_id":"math/0301253","doi":null,"metadata_source":"pith","pith_arxiv_id":"math/0301253","snapshot_observed_at":"2026-08-15T14:47:28.399595Z","title":"Adjointable monoidal functors and quantum groupoids","venue":"math.QA","work_id":"b664af82-a6ef-4bde-a08d-07f4d62b6dc5","year":2003},"citing_paper":{"arxiv_id":"2608.04940","last_updated":"2026-08-05T15:06:04Z","snapshot_observed_at":"2026-08-17T01:00:27.872674Z","submitted_at":"2026-08-05T15:06:04Z","title":"Classification of symmetric fusion categories over $\\mathbb{R}$","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-15T14:47:28.366210Z"},"links":{"cited_paper":"/paper/math/0301253","citing_paper":"/paper/2608.04940"},"observation_digest":"sha256:72a8733e38a0df877de6772783ab2e3cf1d2249cc7f8894d8e2a73e914d20c40","observation_id":"493fd384-8795-42df-bf99-6149f57c790e","resolution":{"observed_at":"2026-08-15T14:47:28.406355Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2608.04940","last_updated":"2026-08-05T15:06:04Z","latest_version":1,"primary_category":"math.QA","snapshot_observed_at":"2026-08-17T01:00:27.872674Z","submitted_at":"2026-08-05T15:06:04Z","title":"Classification of symmetric fusion categories over $\\mathbb{R}$"},"reference_resolution":{"displayed":22,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":17,"verified_exact":2,"verified_fuzzy":3},"total_outbound_references":22},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 17 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2608.04940."}