{"as_of":"2026-08-18T11:23:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:defbb83bcbb52fd3cbfc7909f94ba807d56e43c45aef2f0e7c3aebe9503c21b2","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":"2026-08-10T14:03:59.383048Z","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":"2026-08-18T06:34:40.430872+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/2501.15778/citation-record","integrity":"/paper/2501.15778/integrity","json":"/paper/2501.15778/citation-record.json","paper":"/paper/2501.15778"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2003.10499","last_updated":"2021-11-10T12:17:36Z","snapshot_observed_at":"2026-08-09T19:06:49.040554Z","submitted_at":"2020-03-23T19:17:39Z","title":"New incompressible symmetric tensor categories in positive characteristic","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2003.10499","snapshot_observed_at":"2026-08-10T14:03:59.288424Z","title":"New incompressible symmetric tensor categories in positive characteristic","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2501.15778","last_updated":"2025-01-27T04:52:21Z","snapshot_observed_at":"2026-08-17T03:03:01.684840Z","submitted_at":"2025-01-27T04:52:21Z","title":"The highest weight theory for Representations of General Linear groups in the Verlinde categories in positive characteristic","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-10T14:03:59.288424Z"},"links":{"cited_paper":"/paper/2003.10499","citing_paper":"/paper/2501.15778"},"observation_digest":"sha256:59029fe88b7e7337852b06d8446dcc1111b6105a5c2ee5931c73f55e9a71f38b","observation_id":"8a7c483d-3251-44be-a924-59fda42c9d95","resolution":{"observed_at":"2026-08-10T14:03:59.288424Z","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":"10.1023/a:1025113308552","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T14:03:59.411613Z","title":"A new proof of the M ullineux conjecture","venue":null,"work_id":"32644067-f366-42aa-9b62-f3d653193ebe","year":2003},"citing_paper":{"arxiv_id":"2501.15778","last_updated":"2025-01-27T04:52:21Z","snapshot_observed_at":"2026-08-17T03:03:01.684840Z","submitted_at":"2025-01-27T04:52:21Z","title":"The highest weight theory for Representations of General Linear groups in the Verlinde categories in positive characteristic","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-10T14:03:59.294111Z"},"links":{"citing_paper":"/paper/2501.15778"},"observation_digest":"sha256:7c4d1b29a78608ac330ff2eb2a9b2b79edbb982e0bc97aebaf60aab63648b6c7","observation_id":"144ebac2-6a75-456d-a4de-abc2378f5916","resolution":{"observed_at":"2026-08-10T14:03:59.416826Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-10T14:03:59.730109Z","title":"Tensor product categorifications and the super K azhdan-- L usztig conjecture","venue":null,"work_id":"e5700e40-0338-46eb-bb87-7c8505c024f4","year":2017},"citing_paper":{"arxiv_id":"2501.15778","last_updated":"2025-01-27T04:52:21Z","snapshot_observed_at":"2026-08-17T03:03:01.684840Z","submitted_at":"2025-01-27T04:52:21Z","title":"The highest weight theory for Representations of General Linear groups in the Verlinde categories in positive characteristic","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-10T14:03:59.298901Z"},"links":{"citing_paper":"/paper/2501.15778"},"observation_digest":"sha256:0b0de759075d53027e77711174ee0e054f6a60a893c75dba0575c714c0b6ab93","observation_id":"5e0dd6d2-5e49-4c28-b7e0-d53c6cf09a4f","resolution":{"observed_at":"2026-08-10T14:03:59.733957Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-10T14:03:59.718348Z","title":"Kazhdan- L usztig polynomials and character formulae for the L ie superalgebra (m|n)","venue":null,"work_id":"9c120d96-a8d8-4fd0-86a7-cddec5e22593","year":2003},"citing_paper":{"arxiv_id":"2501.15778","last_updated":"2025-01-27T04:52:21Z","snapshot_observed_at":"2026-08-17T03:03:01.684840Z","submitted_at":"2025-01-27T04:52:21Z","title":"The highest weight theory for Representations of General Linear groups in the Verlinde categories in positive characteristic","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-10T14:03:59.303410Z"},"links":{"citing_paper":"/paper/2501.15778"},"observation_digest":"sha256:5fd26ec07a33651a008967339116efba1aaa3858c4dc8a4b526cb7df95c81f2e","observation_id":"b610521b-33b0-4fcd-ac64-77069936e5ab","resolution":{"observed_at":"2026-08-10T14:03:59.722092Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0806.1532","last_updated":"2010-10-06T10:09:26Z","snapshot_observed_at":"2026-08-17T16:20:33.668908Z","submitted_at":"2008-06-09T22:10:18Z","title":"Highest weight categories arising from Khovanov's diagram algebra I: cellularity","version":3},"cited_work":{"arxiv_id":"0806.1532","doi":null,"metadata_source":"pith","pith_arxiv_id":"0806.1532","snapshot_observed_at":"2026-08-10T14:03:59.530798Z","title":"Highest weight categories arising from Khovanov's diagram algebra I: cellularity","venue":"math.RT","work_id":"746b65f6-1a76-4513-bc99-58398386c248","year":2008},"citing_paper":{"arxiv_id":"2501.15778","last_updated":"2025-01-27T04:52:21Z","snapshot_observed_at":"2026-08-17T03:03:01.684840Z","submitted_at":"2025-01-27T04:52:21Z","title":"The highest weight theory for Representations of General Linear groups in the Verlinde categories in positive characteristic","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-10T14:03:59.308280Z"},"links":{"cited_paper":"/paper/0806.1532","citing_paper":"/paper/2501.15778"},"observation_digest":"sha256:cfee3cea905f5cd90eceaf2f04c6d87ac7a6073a2b1206f2a1c309251c5f07c5","observation_id":"f070e69f-8aec-4adb-ab54-4598070353aa","resolution":{"observed_at":"2026-08-10T14:03:59.535726Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-10T14:03:59.706289Z","title":"Highest weight categories arising from K hovanov's diagram algebra IV : the general linear supergroup","venue":null,"work_id":"096a49d3-9735-4374-8f0d-7745ce16cdc2","year":2012},"citing_paper":{"arxiv_id":"2501.15778","last_updated":"2025-01-27T04:52:21Z","snapshot_observed_at":"2026-08-17T03:03:01.684840Z","submitted_at":"2025-01-27T04:52:21Z","title":"The highest weight theory for Representations of General Linear groups in the Verlinde categories in positive characteristic","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-10T14:03:59.312977Z"},"links":{"citing_paper":"/paper/2501.15778"},"observation_digest":"sha256:608e6d938f864249a88aacd3deeba75802ae5e61937ae018bcd80e2d1ff28d9a","observation_id":"88dd2c04-6d4b-4b64-978b-0bd0aef6b04d","resolution":{"observed_at":"2026-08-10T14:03:59.710153Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-10T14:03:59.693645Z","title":"On F robenius exact symmetric tensor categories","venue":null,"work_id":"4133d74a-bc9e-4017-8b83-4f4993457a79","year":2023},"citing_paper":{"arxiv_id":"2501.15778","last_updated":"2025-01-27T04:52:21Z","snapshot_observed_at":"2026-08-17T03:03:01.684840Z","submitted_at":"2025-01-27T04:52:21Z","title":"The highest weight theory for Representations of General Linear groups in the Verlinde categories in positive characteristic","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-10T14:03:59.317792Z"},"links":{"citing_paper":"/paper/2501.15778"},"observation_digest":"sha256:17b48aa3ccdce3f19a7ceb846c34cf9ecef4cafa84a283410126469cf5eb8d61","observation_id":"bf633657-da1d-43e8-bc42-f73a804a66b5","resolution":{"observed_at":"2026-08-10T14:03:59.697825Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-10T14:03:59.681145Z","title":"Cline, B","venue":null,"work_id":"b2f77b0e-f31e-4797-8f5d-c79be5aaa632","year":1988},"citing_paper":{"arxiv_id":"2501.15778","last_updated":"2025-01-27T04:52:21Z","snapshot_observed_at":"2026-08-17T03:03:01.684840Z","submitted_at":"2025-01-27T04:52:21Z","title":"The highest weight theory for Representations of General Linear groups in the Verlinde categories in positive characteristic","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-10T14:03:59.321814Z"},"links":{"citing_paper":"/paper/2501.15778"},"observation_digest":"sha256:fb2016992152790899f31b265125c81e26244ab88c759966f8999f68c31d620c","observation_id":"0c67c47e-d888-4b1f-a50d-4247f373122b","resolution":{"observed_at":"2026-08-10T14:03:59.684953Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-10T14:03:59.667175Z","title":"Cat \\'e gories tannakiennes","venue":null,"work_id":"1a40e718-94cc-4059-83ca-bbd9e3a91a1d","year":1990},"citing_paper":{"arxiv_id":"2501.15778","last_updated":"2025-01-27T04:52:21Z","snapshot_observed_at":"2026-08-17T03:03:01.684840Z","submitted_at":"2025-01-27T04:52:21Z","title":"The highest weight theory for Representations of General Linear groups in the Verlinde categories in positive characteristic","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-10T14:03:59.325654Z"},"links":{"citing_paper":"/paper/2501.15778"},"observation_digest":"sha256:bfb874b5f6db76ffd1a74e125195c2f7bb7002d1156d43ace507b4b81aadc8b9","observation_id":"c9af634e-3d5f-4787-b702-71e370c055ec","resolution":{"observed_at":"2026-08-10T14:03:59.671862Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-10T14:03:59.652998Z","title":"Cat \\'e gories tensorielles","venue":null,"work_id":"acec868a-47e8-4b0d-9784-f4fa28eee7e9","year":2002},"citing_paper":{"arxiv_id":"2501.15778","last_updated":"2025-01-27T04:52:21Z","snapshot_observed_at":"2026-08-17T03:03:01.684840Z","submitted_at":"2025-01-27T04:52:21Z","title":"The highest weight theory for Representations of General Linear groups in the Verlinde categories in positive characteristic","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-10T14:03:59.329644Z"},"links":{"citing_paper":"/paper/2501.15778"},"observation_digest":"sha256:53e2d6d3e736986dea7f5d309cf8140228545acdd21714ff3e1737f1aee4cf38","observation_id":"7da9d04c-6ca7-47e3-bc10-fc116e200dfb","resolution":{"observed_at":"2026-08-10T14:03:59.658261Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-10T14:03:59.640131Z","title":"Tensor categories , volume 205","venue":null,"work_id":"c91937f7-eb84-4a4a-846e-ff32593c459b","year":2015},"citing_paper":{"arxiv_id":"2501.15778","last_updated":"2025-01-27T04:52:21Z","snapshot_observed_at":"2026-08-17T03:03:01.684840Z","submitted_at":"2025-01-27T04:52:21Z","title":"The highest weight theory for Representations of General Linear groups in the Verlinde categories in positive characteristic","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-10T14:03:59.334009Z"},"links":{"citing_paper":"/paper/2501.15778"},"observation_digest":"sha256:8a805c516d0bd3b79e7ce5556837f318c27b9760986b3534938b32d035063575","observation_id":"eaa198ae-8c30-47d9-abef-c0e743338cc2","resolution":{"observed_at":"2026-08-10T14:03:59.644108Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-10T14:03:59.626270Z","title":"Koszul duality and the PBW theorem in symmetric tensor categories in positive characteristic","venue":null,"work_id":"f96cbc08-5f97-4103-b5e7-959abb89e84f","year":2018},"citing_paper":{"arxiv_id":"2501.15778","last_updated":"2025-01-27T04:52:21Z","snapshot_observed_at":"2026-08-17T03:03:01.684840Z","submitted_at":"2025-01-27T04:52:21Z","title":"The highest weight theory for Representations of General Linear groups in the Verlinde categories in positive characteristic","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-10T14:03:59.342538Z"},"links":{"citing_paper":"/paper/2501.15778"},"observation_digest":"sha256:6471ad334fe458280c20d8be231229f88d338f2e80322e9d95b54f8c5e809d50","observation_id":"9d46d174-7157-4ea0-ad50-a89eae9f0757","resolution":{"observed_at":"2026-08-10T14:03:59.630856Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-10T14:03:59.611874Z","title":"Fusion rings for modular representations of C hevalley groups","venue":null,"work_id":"0ec5a37f-43fd-4e6a-a700-2c16576bf436","year":1994},"citing_paper":{"arxiv_id":"2501.15778","last_updated":"2025-01-27T04:52:21Z","snapshot_observed_at":"2026-08-17T03:03:01.684840Z","submitted_at":"2025-01-27T04:52:21Z","title":"The highest weight theory for Representations of General Linear groups in the Verlinde categories in positive characteristic","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-10T14:03:59.346410Z"},"links":{"citing_paper":"/paper/2501.15778"},"observation_digest":"sha256:68e84f8db533b79f696bfa10d28c47f19ac60ade65ec759d2be5965852b2158c","observation_id":"c8915a3a-447d-46f7-892c-bf190b701c83","resolution":{"observed_at":"2026-08-10T14:03:59.616072Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1111.6959","last_updated":"2011-11-29T20:25:43Z","snapshot_observed_at":"2026-08-15T04:27:23.509337Z","submitted_at":"2011-11-29T20:25:43Z","title":"Bernstein-Gel'fand-Gel'fand reciprocity and indecomposable projective modules for classical algebraic supergroups","version":1},"cited_work":{"arxiv_id":"1111.6959","doi":null,"metadata_source":"pith","pith_arxiv_id":"1111.6959","snapshot_observed_at":"2026-08-10T14:03:59.489590Z","title":"Bernstein-Gel'fand-Gel'fand reciprocity and indecomposable projective modules for classical algebraic supergroups","venue":"math.RT","work_id":"e991c012-516e-4943-8a5d-05170c3b7303","year":2011},"citing_paper":{"arxiv_id":"2501.15778","last_updated":"2025-01-27T04:52:21Z","snapshot_observed_at":"2026-08-17T03:03:01.684840Z","submitted_at":"2025-01-27T04:52:21Z","title":"The highest weight theory for Representations of General Linear groups in the Verlinde categories in positive characteristic","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-10T14:03:59.350272Z"},"links":{"cited_paper":"/paper/1111.6959","citing_paper":"/paper/2501.15778"},"observation_digest":"sha256:98291dc200815ee76de72b97016d2e2fe72648b2bf1a443a4ef3294d098ce87c","observation_id":"8fddf67f-64d3-4627-8619-217a494e1f5b","resolution":{"observed_at":"2026-08-10T14:03:59.494409Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-10T14:03:59.599106Z","title":"Representations of classical L ie superalgebras","venue":null,"work_id":"cd739af6-cc74-4bfa-8d18-148b13e0c419","year":1977},"citing_paper":{"arxiv_id":"2501.15778","last_updated":"2025-01-27T04:52:21Z","snapshot_observed_at":"2026-08-17T03:03:01.684840Z","submitted_at":"2025-01-27T04:52:21Z","title":"The highest weight theory for Representations of General Linear groups in the Verlinde categories in positive characteristic","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-10T14:03:59.354423Z"},"links":{"citing_paper":"/paper/2501.15778"},"observation_digest":"sha256:9cc1a0c7e1d885a78876cf8e28d959c855bd7513c11602ecb0ca2af43055b1ab","observation_id":"6b9ead5d-466e-4f24-bcff-d94f73e8cf13","resolution":{"observed_at":"2026-08-10T14:03:59.603216Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1209.1067","last_updated":"2012-09-05T18:16:59Z","snapshot_observed_at":"2026-08-15T09:09:21.438317Z","submitted_at":"2012-09-05T18:16:59Z","title":"Representations of general linear groups and categorical actions of Kac-Moody algebras","version":1},"cited_work":{"arxiv_id":"1209.1067","doi":null,"metadata_source":"pith","pith_arxiv_id":"1209.1067","snapshot_observed_at":"2026-08-10T14:03:59.508903Z","title":"Representations of general linear groups and categorical actions of Kac-Moody algebras","venue":"math.RT","work_id":"edd91b55-eaaf-4613-82b2-5bbd916234d4","year":2012},"citing_paper":{"arxiv_id":"2501.15778","last_updated":"2025-01-27T04:52:21Z","snapshot_observed_at":"2026-08-17T03:03:01.684840Z","submitted_at":"2025-01-27T04:52:21Z","title":"The highest weight theory for Representations of General Linear groups in the Verlinde categories in positive characteristic","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-10T14:03:59.358208Z"},"links":{"cited_paper":"/paper/1209.1067","citing_paper":"/paper/2501.15778"},"observation_digest":"sha256:5d981a9a06cf71e487c396435fca49afe00b0906d329199efb9c5da3d9c9fbfd","observation_id":"22d68fba-52f3-4665-9da0-a96555beb494","resolution":{"observed_at":"2026-08-10T14:03:59.514254Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"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":"1503.01492","doi":null,"metadata_source":"pith","pith_arxiv_id":"1503.01492","snapshot_observed_at":"2026-08-10T14:03:59.470427Z","title":"On symmetric fusion categories in positive characteristic","venue":"math.CT","work_id":"63dac48a-eedc-4812-8436-666106cc2043","year":2015},"citing_paper":{"arxiv_id":"2501.15778","last_updated":"2025-01-27T04:52:21Z","snapshot_observed_at":"2026-08-17T03:03:01.684840Z","submitted_at":"2025-01-27T04:52:21Z","title":"The highest weight theory for Representations of General Linear groups in the Verlinde categories in positive characteristic","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-10T14:03:59.362189Z"},"links":{"cited_paper":"/paper/1503.01492","citing_paper":"/paper/2501.15778"},"observation_digest":"sha256:e9886b2042e44ea05838bc81717c94c215327135a56bba4668fdfd520742f187","observation_id":"6958dc3e-045b-4ddd-8e73-6e3c3935d046","resolution":{"observed_at":"2026-08-10T14:03:59.475076Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-10T14:03:59.585992Z","title":"Quasireductive supergroups","venue":null,"work_id":"dd1954b5-1c39-4b88-8454-eb781cd39b34","year":2011},"citing_paper":{"arxiv_id":"2501.15778","last_updated":"2025-01-27T04:52:21Z","snapshot_observed_at":"2026-08-17T03:03:01.684840Z","submitted_at":"2025-01-27T04:52:21Z","title":"The highest weight theory for Representations of General Linear groups in the Verlinde categories in positive characteristic","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-10T14:03:59.366207Z"},"links":{"citing_paper":"/paper/2501.15778"},"observation_digest":"sha256:6a58ea263e8c09745a113139a944a7ffeef7870703c4dadb6597926546036a56","observation_id":"1ce5b13a-97ce-4608-8d13-09a0acb97fec","resolution":{"observed_at":"2026-08-10T14:03:59.590127Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-10T14:03:59.573068Z","title":"Algebraic geometry and representation theory in the Verlinde category","venue":null,"work_id":"c9bb7519-decf-4a84-89f4-1ad3eb32a9a1","year":2019},"citing_paper":{"arxiv_id":"2501.15778","last_updated":"2025-01-27T04:52:21Z","snapshot_observed_at":"2026-08-17T03:03:01.684840Z","submitted_at":"2025-01-27T04:52:21Z","title":"The highest weight theory for Representations of General Linear groups in the Verlinde categories in positive characteristic","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-10T14:03:59.370306Z"},"links":{"citing_paper":"/paper/2501.15778"},"observation_digest":"sha256:5f2adf7fbc70344e256b253c785088137b2fc32d05bfcf854c67baaf0af527ff","observation_id":"93ad5b18-04bc-4bf5-b003-a0c31a35eb6a","resolution":{"observed_at":"2026-08-10T14:03:59.577048Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1909.11240","last_updated":"2022-03-07T06:35:37Z","snapshot_observed_at":"2026-08-17T15:05:49.319762Z","submitted_at":"2019-09-25T00:13:49Z","title":"Harish-Chandra pairs in the Verlinde category in positive characteristic","version":2},"cited_work":{"arxiv_id":"1909.11240","doi":null,"metadata_source":"pith","pith_arxiv_id":"1909.11240","snapshot_observed_at":"2026-08-10T14:03:59.451148Z","title":"Harish-Chandra pairs in the Verlinde category in positive characteristic","venue":"math.RT","work_id":"a7003095-4e37-4c82-a3d9-5153a7718a71","year":2019},"citing_paper":{"arxiv_id":"2501.15778","last_updated":"2025-01-27T04:52:21Z","snapshot_observed_at":"2026-08-17T03:03:01.684840Z","submitted_at":"2025-01-27T04:52:21Z","title":"The highest weight theory for Representations of General Linear groups in the Verlinde categories in positive characteristic","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-10T14:03:59.374299Z"},"links":{"cited_paper":"/paper/1909.11240","citing_paper":"/paper/2501.15778"},"observation_digest":"sha256:459005d4131f6c1b18c7550c62e3eaf96cdb2572d01b58071e73b371c0b0d7d0","observation_id":"a64b9408-2bad-4827-a744-0d814b418415","resolution":{"observed_at":"2026-08-10T14:03:59.455932Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2203.03158","last_updated":"2022-03-07T06:32:44Z","snapshot_observed_at":"2026-08-17T13:58:19.175112Z","submitted_at":"2022-03-07T06:32:44Z","title":"Representations of General Linear Groups in the Verlinde Category","version":1},"cited_work":{"arxiv_id":"2203.03158","doi":null,"metadata_source":"pith","pith_arxiv_id":"2203.03158","snapshot_observed_at":"2026-08-10T14:03:59.431269Z","title":"Representations of General Linear Groups in the Verlinde Category","venue":"math.RT","work_id":"1afef2c5-f794-47a0-9b6b-b74c60ebeda1","year":2022},"citing_paper":{"arxiv_id":"2501.15778","last_updated":"2025-01-27T04:52:21Z","snapshot_observed_at":"2026-08-17T03:03:01.684840Z","submitted_at":"2025-01-27T04:52:21Z","title":"The highest weight theory for Representations of General Linear groups in the Verlinde categories in positive characteristic","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-10T14:03:59.378874Z"},"links":{"cited_paper":"/paper/2203.03158","citing_paper":"/paper/2501.15778"},"observation_digest":"sha256:62f90dfa2ae5a71bd35f8c9c8476f65a91b35250e41f2147ddd860525c1a302f","observation_id":"62787daa-a70d-4320-8f10-6508d68f22bb","resolution":{"observed_at":"2026-08-10T14:03:59.436636Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-10T14:03:59.560147Z","title":"Categories of finite dimensional weight modules over type I classical L ie superalgebras","venue":null,"work_id":"108e462b-79b9-46bc-8756-5e9af99dfb89","year":1996},"citing_paper":{"arxiv_id":"2501.15778","last_updated":"2025-01-27T04:52:21Z","snapshot_observed_at":"2026-08-17T03:03:01.684840Z","submitted_at":"2025-01-27T04:52:21Z","title":"The highest weight theory for Representations of General Linear groups in the Verlinde categories in positive characteristic","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-10T14:03:59.383048Z"},"links":{"citing_paper":"/paper/2501.15778"},"observation_digest":"sha256:da200fe2ea45738f94dcfbfecf9e2789004c729f31345991efce1bba2933816a","observation_id":"c20972fd-1630-4f20-b7ca-d4a7d2427a6f","resolution":{"observed_at":"2026-08-10T14:03:59.564367Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2501.15778","last_updated":"2025-01-27T04:52:21Z","latest_version":1,"primary_category":"math.RT","snapshot_observed_at":"2026-08-17T03:03:01.684840Z","submitted_at":"2025-01-27T04:52:21Z","title":"The highest weight theory for Representations of General Linear groups in the Verlinde categories in positive characteristic"},"reference_resolution":{"displayed":22,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":1,"verified_exact":7,"verified_fuzzy":14},"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":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2501.15778."}