{"as_of":"2026-08-19T17:20:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:eee00350d5f36cbadb0a662008badde5945fc9d97b4271b43f0788bafe77ea3c","coverage":[{"denominator":20,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":20,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-08T20:47:00.421883Z","state":"measured"},{"denominator":20,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":20,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-19T06:32:44.657259+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/2502.05005/citation-record","integrity":"/paper/2502.05005/integrity","json":"/paper/2502.05005/citation-record.json","paper":"/paper/2502.05005"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T20:47:00.737642Z","title":"Furthermore, for /u1D44E, /u1D44F∈ /u1D43C/u1D43A, we will also use /u1D44F→ /u1D44Eto denote that /u1D44Fis adjacent to /u1D44Ein /u1D445(/u1D449, /u1D43A)","venue":null,"work_id":"6e369a48-e76e-4196-bf6a-5642758aa2bf","year":null},"citing_paper":{"arxiv_id":"2502.05005","last_updated":"2025-02-07T15:25:23Z","snapshot_observed_at":"2026-08-19T06:04:21.790630Z","submitted_at":"2025-02-07T15:25:23Z","title":"Diagrammatic Categories which arise from Representation Graphs","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-08T20:47:00.363439Z"},"links":{"citing_paper":"/paper/2502.05005"},"observation_digest":"sha256:ed1c673e5b2c42a055551ddd5f4b2e5506554bd9d1773ff9ca9ebe4ab9fbafad","observation_id":"5792d716-9b18-461e-a071-46c2f6989767","resolution":{"observed_at":"2026-08-08T20:47:00.741305Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-08T20:47:00.601784Z","title":"Temperley and Elliot H Lieb","venue":null,"work_id":"2daa9d9b-f08a-465f-88fe-909f1ca6a7d8","year":1971},"citing_paper":{"arxiv_id":"2502.05005","last_updated":"2025-02-07T15:25:23Z","snapshot_observed_at":"2026-08-19T06:04:21.790630Z","submitted_at":"2025-02-07T15:25:23Z","title":"Diagrammatic Categories which arise from Representation Graphs","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-08T20:47:00.374693Z"},"links":{"citing_paper":"/paper/2502.05005"},"observation_digest":"sha256:46e95ce1325d5329cd9d0e6d0b4414bb1d554730a1ee3dbce25bc0d7c3dac778","observation_id":"42ceca7e-3c31-40fa-850d-cff8886699be","resolution":{"observed_at":"2026-08-08T20:47:00.605101Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-08T20:47:00.757622Z","title":"We will again use the convention that the empty diagram is the morphism from (0) to (0) which represents multiplication by 1 where (0) = ¯0 is the identity object","venue":null,"work_id":"fbf92298-a940-4935-b15e-903367b9a191","year":null},"citing_paper":{"arxiv_id":"2502.05005","last_updated":"2025-02-07T15:25:23Z","snapshot_observed_at":"2026-08-19T06:04:21.790630Z","submitted_at":"2025-02-07T15:25:23Z","title":"Diagrammatic Categories which arise from Representation Graphs","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-08T20:47:00.354906Z"},"links":{"citing_paper":"/paper/2502.05005"},"observation_digest":"sha256:b67d321a87b19c20e6847686913e90dca35a2c1af3fda16100d82b981432af16","observation_id":"25a82eef-05db-47c1-a8b1-a0b129c77abd","resolution":{"observed_at":"2026-08-08T20:47:00.761365Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-08T20:47:00.747566Z","title":"For example, let Γ be the representation graph of one of the finite subgroups of /u1D446/u1D448(2) as discussed in 2","venue":null,"work_id":"d17ab894-f491-48c8-bbc1-e6224fbfec11","year":null},"citing_paper":{"arxiv_id":"2502.05005","last_updated":"2025-02-07T15:25:23Z","snapshot_observed_at":"2026-08-19T06:04:21.790630Z","submitted_at":"2025-02-07T15:25:23Z","title":"Diagrammatic Categories which arise from Representation Graphs","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-08T20:47:00.359926Z"},"links":{"citing_paper":"/paper/2502.05005"},"observation_digest":"sha256:ae135b6f69bb701d73a6a835f8eadb9595040823d6928651d78971420dd3d508","observation_id":"1e31f0a0-e936-4b47-ae8e-712c9cd22cb2","resolution":{"observed_at":"2026-08-08T20:47:00.751235Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-08T20:47:00.727577Z","title":null,"venue":null,"work_id":"b5e522c8-95f8-4262-89a0-671c1f75b306","year":null},"citing_paper":{"arxiv_id":"2502.05005","last_updated":"2025-02-07T15:25:23Z","snapshot_observed_at":"2026-08-19T06:04:21.790630Z","submitted_at":"2025-02-07T15:25:23Z","title":"Diagrammatic Categories which arise from Representation Graphs","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-08T20:47:00.367493Z"},"links":{"citing_paper":"/paper/2502.05005"},"observation_digest":"sha256:f83eb373512a920d14cf2b4260edded631e1e5062cb466a474a73c210bc08158","observation_id":"3e4b7666-b97a-4241-a8fc-f266824ca17a","resolution":{"observed_at":"2026-08-08T20:47:00.730974Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-08T20:47:00.717334Z","title":"Shorter notes: Cartan matrices, finite groups of quat ernions, and Kleinian singularities","venue":null,"work_id":"ff5d7090-b5a8-4b93-b643-c5982c7adba3","year":1981},"citing_paper":{"arxiv_id":"2502.05005","last_updated":"2025-02-07T15:25:23Z","snapshot_observed_at":"2026-08-19T06:04:21.790630Z","submitted_at":"2025-02-07T15:25:23Z","title":"Diagrammatic Categories which arise from Representation Graphs","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-08T20:47:00.371218Z"},"links":{"citing_paper":"/paper/2502.05005"},"observation_digest":"sha256:b1c12ddd87754a178ae6daa05a7086e0cb0ea32f070faae36e2875911d3681c8","observation_id":"27f00d81-891c-4c43-8b22-22c6efdc7ccb","resolution":{"observed_at":"2026-08-08T20:47:00.721106Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-08T20:47:00.592083Z","title":"Barnes, Georgia Benkart, and Tom Halverson","venue":null,"work_id":"0021b96d-eb2e-4179-a4c5-67d7d9c5c375","year":2016},"citing_paper":{"arxiv_id":"2502.05005","last_updated":"2025-02-07T15:25:23Z","snapshot_observed_at":"2026-08-19T06:04:21.790630Z","submitted_at":"2025-02-07T15:25:23Z","title":"Diagrammatic Categories which arise from Representation Graphs","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-08T20:47:00.378343Z"},"links":{"citing_paper":"/paper/2502.05005"},"observation_digest":"sha256:b4f17dfb8150a327ebd3bf944b85a9ad6f55f58b9e80be5f5bbe9f179bbcafe9","observation_id":"f66653ce-e5f6-4c94-b4ba-6970e37e8f79","resolution":{"observed_at":"2026-08-08T20:47:00.595490Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-08T20:47:00.582437Z","title":"Quantum invariants of knots and 3-mani folds","venue":null,"work_id":"6f196a8d-58f4-4a05-a082-28b880ab7056","year":1994},"citing_paper":{"arxiv_id":"2502.05005","last_updated":"2025-02-07T15:25:23Z","snapshot_observed_at":"2026-08-19T06:04:21.790630Z","submitted_at":"2025-02-07T15:25:23Z","title":"Diagrammatic Categories which arise from Representation Graphs","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-08T20:47:00.381526Z"},"links":{"citing_paper":"/paper/2502.05005"},"observation_digest":"sha256:ab2c23d7a11128695ae7084ebda1a3cfb82de6cd14b74c67cc261d9d89025f10","observation_id":"41a70391-93f1-47d0-a9a9-8b1bb0eccddd","resolution":{"observed_at":"2026-08-08T20:47:00.585915Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1502.06845","last_updated":"2014-12-14T00:44:17Z","snapshot_observed_at":"2026-08-14T23:07:43.232447Z","submitted_at":"2014-12-14T00:44:17Z","title":"The Temperley-Lieb categories and skein modules","version":1},"cited_work":{"arxiv_id":"1502.06845","doi":null,"metadata_source":"pith","pith_arxiv_id":"1502.06845","snapshot_observed_at":"2026-08-08T20:47:00.481350Z","title":"The Temperley-Lieb categories and skein modules","venue":"math.QA","work_id":"f493a19d-3852-453d-9305-6d5fc46629d2","year":2014},"citing_paper":{"arxiv_id":"2502.05005","last_updated":"2025-02-07T15:25:23Z","snapshot_observed_at":"2026-08-19T06:04:21.790630Z","submitted_at":"2025-02-07T15:25:23Z","title":"Diagrammatic Categories which arise from Representation Graphs","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-08T20:47:00.384747Z"},"links":{"cited_paper":"/paper/1502.06845","citing_paper":"/paper/2502.05005"},"observation_digest":"sha256:ce7a4bf15c6adb0b740a822cf3f0dffa76f7e914c0f33fda13e2163c1998d23f","observation_id":"9a43e3cd-c479-4d52-ad61-0cb6d05bc84f","resolution":{"observed_at":"2026-08-08T20:47:00.484846Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2006.04328","last_updated":"2022-06-10T21:59:33Z","snapshot_observed_at":"2026-08-13T04:10:58.702829Z","submitted_at":"2020-06-08T02:33:44Z","title":"The representation theory of Brauer categories I: triangular categories","version":2},"cited_work":{"arxiv_id":"2006.04328","doi":null,"metadata_source":"pith","pith_arxiv_id":"2006.04328","snapshot_observed_at":"2026-08-08T20:47:00.467191Z","title":"The representation theory of Brauer categories I: triangular categories","venue":"math.RT","work_id":"83faf546-0ced-435b-b7e8-b61e0472589f","year":2020},"citing_paper":{"arxiv_id":"2502.05005","last_updated":"2025-02-07T15:25:23Z","snapshot_observed_at":"2026-08-19T06:04:21.790630Z","submitted_at":"2025-02-07T15:25:23Z","title":"Diagrammatic Categories which arise from Representation Graphs","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-08T20:47:00.388314Z"},"links":{"cited_paper":"/paper/2006.04328","citing_paper":"/paper/2502.05005"},"observation_digest":"sha256:25176ef36d6e9d07f07796dd1581c5141498dabb61fb03ded71d5af5d2b0b232","observation_id":"588910e4-ca8a-4de2-86ac-ac4bbea065ec","resolution":{"observed_at":"2026-08-08T20:47:00.470794Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2107.05099","last_updated":"2021-07-11T17:38:50Z","snapshot_observed_at":"2026-08-16T18:10:48.583513Z","submitted_at":"2021-07-11T17:38:50Z","title":"A new approach to the representation theory of the partition category","version":1},"cited_work":{"arxiv_id":"2107.05099","doi":null,"metadata_source":"pith","pith_arxiv_id":"2107.05099","snapshot_observed_at":"2026-08-08T20:47:00.450852Z","title":"A new approach to the representation theory of the partition category","venue":"math.RT","work_id":"1b10e1c6-7099-4415-8ad5-fa2540bf2e9e","year":2021},"citing_paper":{"arxiv_id":"2502.05005","last_updated":"2025-02-07T15:25:23Z","snapshot_observed_at":"2026-08-19T06:04:21.790630Z","submitted_at":"2025-02-07T15:25:23Z","title":"Diagrammatic Categories which arise from Representation Graphs","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-08T20:47:00.392120Z"},"links":{"cited_paper":"/paper/2107.05099","citing_paper":"/paper/2502.05005"},"observation_digest":"sha256:2e1324c69781c8055267ac92825209389ba07787d2f66df487de24d64101796e","observation_id":"18088018-9c05-4a89-adc1-cda1d3a50108","resolution":{"observed_at":"2026-08-08T20:47:00.456706Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-08T20:47:00.572059Z","title":"Etingof, S","venue":null,"work_id":"ca61adcd-2021-4ff3-93d3-9447124a827f","year":2016},"citing_paper":{"arxiv_id":"2502.05005","last_updated":"2025-02-07T15:25:23Z","snapshot_observed_at":"2026-08-19T06:04:21.790630Z","submitted_at":"2025-02-07T15:25:23Z","title":"Diagrammatic Categories which arise from Representation Graphs","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-08T20:47:00.395534Z"},"links":{"citing_paper":"/paper/2502.05005"},"observation_digest":"sha256:c568c9db8081f5ba91b06b29152dc9b358d2e8c7809dbf48dfc629eaaf2b3738","observation_id":"59573b03-0d54-453c-ae94-e003feaf09b5","resolution":{"observed_at":"2026-08-08T20:47:00.575444Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-08T20:47:00.562200Z","title":"Lane, S.J","venue":null,"work_id":"07a714dd-003b-4bef-b91a-5d39062200ec","year":1998},"citing_paper":{"arxiv_id":"2502.05005","last_updated":"2025-02-07T15:25:23Z","snapshot_observed_at":"2026-08-19T06:04:21.790630Z","submitted_at":"2025-02-07T15:25:23Z","title":"Diagrammatic Categories which arise from Representation Graphs","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-08T20:47:00.399092Z"},"links":{"citing_paper":"/paper/2502.05005"},"observation_digest":"sha256:1e219a60666bd05a61cd37b2516c70d94bbd8c06e76064f719ce786182262343","observation_id":"5da3989d-0d2e-4f72-b355-0b56eb068ac7","resolution":{"observed_at":"2026-08-08T20:47:00.565557Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-08T20:47:00.552262Z","title":null,"venue":null,"work_id":"a51610f3-ee71-4370-8f09-2ef95ef552cb","year":1995},"citing_paper":{"arxiv_id":"2502.05005","last_updated":"2025-02-07T15:25:23Z","snapshot_observed_at":"2026-08-19T06:04:21.790630Z","submitted_at":"2025-02-07T15:25:23Z","title":"Diagrammatic Categories which arise from Representation Graphs","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-08T20:47:00.402545Z"},"links":{"citing_paper":"/paper/2502.05005"},"observation_digest":"sha256:21bd5fe2c9cca69526d78f33e634d74b67817f8eec192270ae9cf1393d9f426d","observation_id":"91fecc0b-ba14-4c41-b232-6c4f1a85b913","resolution":{"observed_at":"2026-08-08T20:47:00.555900Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-08T20:47:00.542256Z","title":"Mckay tree s, 2021","venue":null,"work_id":"16cc8fe0-f4f1-42b7-bee4-a7da301aa91c","year":2021},"citing_paper":{"arxiv_id":"2502.05005","last_updated":"2025-02-07T15:25:23Z","snapshot_observed_at":"2026-08-19T06:04:21.790630Z","submitted_at":"2025-02-07T15:25:23Z","title":"Diagrammatic Categories which arise from Representation Graphs","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-08T20:47:00.405778Z"},"links":{"citing_paper":"/paper/2502.05005"},"observation_digest":"sha256:940b65e9076901ef073e6ff345b5d3c5eae2a66966e3b6729cf891241baf7d80","observation_id":"686c21f5-3335-4fd2-bb0c-bbb9bc6081b4","resolution":{"observed_at":"2026-08-08T20:47:00.545733Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-08T20:47:00.532310Z","title":"Evans and Mathew Pugh","venue":null,"work_id":"38fc132a-9309-4c28-af62-7d4afbfaa210","year":2020},"citing_paper":{"arxiv_id":"2502.05005","last_updated":"2025-02-07T15:25:23Z","snapshot_observed_at":"2026-08-19T06:04:21.790630Z","submitted_at":"2025-02-07T15:25:23Z","title":"Diagrammatic Categories which arise from Representation Graphs","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-08T20:47:00.409143Z"},"links":{"citing_paper":"/paper/2502.05005"},"observation_digest":"sha256:f30fdb64c1f4505eae5093e119dcb97185da836f5d08e7ee2d1be7c77ecba1e1","observation_id":"562e791e-b7aa-4a42-a54e-a15733c146e4","resolution":{"observed_at":"2026-08-08T20:47:00.535587Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-08T20:47:00.522294Z","title":"On a /u1D45E-analogue of the McKay correspondence and the /u1D434/u1D437/u1D438classification of ˆ/u1D460/u1D4592 conformal field theories","venue":null,"work_id":"85ebc647-d9b8-4d97-b8af-6ea63d71ee5e","year":2002},"citing_paper":{"arxiv_id":"2502.05005","last_updated":"2025-02-07T15:25:23Z","snapshot_observed_at":"2026-08-19T06:04:21.790630Z","submitted_at":"2025-02-07T15:25:23Z","title":"Diagrammatic Categories which arise from Representation Graphs","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-08T20:47:00.412317Z"},"links":{"citing_paper":"/paper/2502.05005"},"observation_digest":"sha256:4ad2ba4f0c1cbe6f9bfd5514e9e612a2cd2f54d2151c93d5e3c999961a601bfa","observation_id":"13af14f4-b6af-4301-8cec-8debd299e905","resolution":{"observed_at":"2026-08-08T20:47:00.525809Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-08T20:47:00.511878Z","title":"McKay graphs","venue":null,"work_id":"51fe5c0c-4e51-4515-a1fa-28fd7de90171","year":2010},"citing_paper":{"arxiv_id":"2502.05005","last_updated":"2025-02-07T15:25:23Z","snapshot_observed_at":"2026-08-19T06:04:21.790630Z","submitted_at":"2025-02-07T15:25:23Z","title":"Diagrammatic Categories which arise from Representation Graphs","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-08T20:47:00.415564Z"},"links":{"citing_paper":"/paper/2502.05005"},"observation_digest":"sha256:9bf300e60dc56f82a7d445f1d5365296878965f2078cec4fe60be3f88b728094","observation_id":"c535d0b0-7047-4cda-b2ac-9bc241a01ee6","resolution":{"observed_at":"2026-08-08T20:47:00.515404Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-08T20:47:00.501500Z","title":"On symmetric fusion categories in posit ive characteristic","venue":null,"work_id":"9975f9ff-67a2-49de-bc24-4d0e978cc21f","year":2020},"citing_paper":{"arxiv_id":"2502.05005","last_updated":"2025-02-07T15:25:23Z","snapshot_observed_at":"2026-08-19T06:04:21.790630Z","submitted_at":"2025-02-07T15:25:23Z","title":"Diagrammatic Categories which arise from Representation Graphs","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-08T20:47:00.418708Z"},"links":{"citing_paper":"/paper/2502.05005"},"observation_digest":"sha256:f12e62eaefa6a3ca0fcc76c7609fbbe0edeab7dbf16f94dd0d6fcbf3de261032","observation_id":"a84c5b15-ed65-4524-ada0-b8ee3f9ab1ad","resolution":{"observed_at":"2026-08-08T20:47:00.505274Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-08T20:47:00.491698Z","title":"Commutative algebra s in fibonacci categories","venue":null,"work_id":"eacaf28e-3c9f-432e-848f-c8ab2f060554","year":2012},"citing_paper":{"arxiv_id":"2502.05005","last_updated":"2025-02-07T15:25:23Z","snapshot_observed_at":"2026-08-19T06:04:21.790630Z","submitted_at":"2025-02-07T15:25:23Z","title":"Diagrammatic Categories which arise from Representation Graphs","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-08T20:47:00.421883Z"},"links":{"citing_paper":"/paper/2502.05005"},"observation_digest":"sha256:2212edbc3947fb385b7a02b27872060c92449fe12bd003dba90ef86dfd6d9a06","observation_id":"4095a9be-1165-467d-bf91-f7229ddb680a","resolution":{"observed_at":"2026-08-08T20:47:00.495170Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2502.05005","last_updated":"2025-02-07T15:25:23Z","latest_version":1,"primary_category":"math.CT","snapshot_observed_at":"2026-08-19T06:04:21.790630Z","submitted_at":"2025-02-07T15:25:23Z","title":"Diagrammatic Categories which arise from Representation Graphs"},"reference_resolution":{"displayed":20,"state_counts":{"malformed_identifier":0,"metadata_mismatch":1,"parse_uncertain":0,"unresolved":2,"verified_exact":2,"verified_fuzzy":15},"total_outbound_references":20},"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":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"thesis":"As of 19 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2502.05005."}