{"as_of":"2026-08-08T04:53:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:b185c0b8c94039fc8c74c93b2f13ecd2b5df0310a35ef28adf70b09e9f202328","coverage":[{"denominator":8,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":8,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T04:11:18.793393Z","state":"measured"},{"denominator":10,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":10,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-03T11:24:38.951408Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-03T11:28:03.793711Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2506.18918","last_updated":"2025-06-13T07:56:18Z","snapshot_observed_at":"2026-08-07T04:01:59.699577Z","submitted_at":"2025-06-13T07:56:18Z","title":"Quantum topology without topology","version":1},"cited_work":{"arxiv_id":"2506.18918","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2506.18918","snapshot_observed_at":"2026-07-03T11:28:03.793711Z","title":"Tubbenhauer","venue":null,"work_id":"44ad115e-7c0c-4ab3-b162-33a2899e6558","year":2025},"citing_paper":{"arxiv_id":"2606.02249","last_updated":"2026-06-01T13:41:14Z","snapshot_observed_at":"2026-08-04T05:30:47.295473Z","submitted_at":"2026-06-01T13:41:14Z","title":"Presentations for categories of crystals","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-06-28T12:11:23.988338Z"},"links":{"cited_paper":"/paper/2506.18918","citing_paper":"/paper/2606.02249"},"observation_digest":"sha256:d35ee7a570e767d85ebb7ccca41441c02ee187565196aac0d5324f31025a42fc","observation_id":"f055d986-6d37-4cb8-9657-86a4121afe6f","resolution":{"observed_at":"2026-07-02T01:16:25.126289Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2506.18918","last_updated":"2025-06-13T07:56:18Z","snapshot_observed_at":"2026-08-07T04:01:59.699577Z","submitted_at":"2025-06-13T07:56:18Z","title":"Quantum topology without topology","version":1},"cited_work":{"arxiv_id":"2506.18918","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2506.18918","snapshot_observed_at":"2026-07-03T11:28:03.793711Z","title":"Tubbenhauer","venue":null,"work_id":"44ad115e-7c0c-4ab3-b162-33a2899e6558","year":2025},"citing_paper":{"arxiv_id":"2607.01632","last_updated":"2026-07-02T02:59:20Z","snapshot_observed_at":"2026-08-01T23:35:01.657604Z","submitted_at":"2026-07-02T02:59:20Z","title":"Categorification of some Penrose polynomials","version":1},"reference_index":44,"source":"arxiv_source","source_observed_at":"2026-07-03T11:24:38.951408Z"},"links":{"cited_paper":"/paper/2506.18918","citing_paper":"/paper/2607.01632"},"observation_digest":"sha256:67dbf583295b7c129322ab2bac6cce36efd785fb2c953f952768899f853553dd","observation_id":"672f3921-75fc-4fda-9903-a1dfb70d15ab","resolution":{"observed_at":"2026-07-03T11:28:03.795378Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2506.18918/citation-record","integrity":"/paper/2506.18918/integrity","json":"/paper/2506.18918/citation-record.json","paper":"/paper/2506.18918"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T04:11:18.777811Z","title":"[JS93] A","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2506.18918","last_updated":"2025-06-13T07:56:18Z","snapshot_observed_at":"2026-08-07T04:01:59.699577Z","submitted_at":"2025-06-13T07:56:18Z","title":"Quantum topology without topology","version":1},"reference_index":2002,"source":"pdf_text","source_observed_at":"2026-08-07T04:11:18.777811Z"},"links":{"citing_paper":"/paper/2506.18918"},"observation_digest":"sha256:abdc57a6ebc73ddac150781bfc663dfe6dbb21eb1799e04c1a23c377378c5db9","observation_id":"a35796b3-53fc-40fa-bee8-d8b99aea9ad8","resolution":{"observed_at":"2026-08-07T04:11:18.777811Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"math/0308281","last_updated":"2010-02-23T21:42:12Z","snapshot_observed_at":"2026-07-07T05:36:29.177786Z","submitted_at":"2003-08-28T17:22:47Z","title":"Quantum Groups at Roots of Unity and Modularity","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"math/0308281","snapshot_observed_at":"2026-08-07T04:11:18.793393Z","title":"[Ser80] J.-P","venue":null,"work_id":null,"year":1980},"citing_paper":{"arxiv_id":"2506.18918","last_updated":"2025-06-13T07:56:18Z","snapshot_observed_at":"2026-08-07T04:01:59.699577Z","submitted_at":"2025-06-13T07:56:18Z","title":"Quantum topology without topology","version":1},"reference_index":2006,"source":"pdf_text","source_observed_at":"2026-08-07T04:11:18.793393Z"},"links":{"cited_paper":"/paper/math/0308281","citing_paper":"/paper/2506.18918"},"observation_digest":"sha256:a7d3d94fa6fb39de0897a8e6d1bad4dabe3ec4a678b433675079c59fd0d4cdb1","observation_id":"3f2d8956-e3f5-44a9-963a-aa1895f6cc70","resolution":{"observed_at":"2026-08-07T04:11:18.793393Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1011.3322","last_updated":"2010-11-15T09:25:07Z","snapshot_observed_at":"2026-07-06T02:19:12.795983Z","submitted_at":"2010-11-15T09:25:07Z","title":"Cell 2-representations of finitary 2-categories","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1011.3322","snapshot_observed_at":"2026-08-07T04:11:18.783018Z","title":"[MW89] H.R","venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2506.18918","last_updated":"2025-06-13T07:56:18Z","snapshot_observed_at":"2026-08-07T04:01:59.699577Z","submitted_at":"2025-06-13T07:56:18Z","title":"Quantum topology without topology","version":1},"reference_index":2011,"source":"pdf_text","source_observed_at":"2026-08-07T04:11:18.783018Z"},"links":{"cited_paper":"/paper/1011.3322","citing_paper":"/paper/2506.18918"},"observation_digest":"sha256:65cde39eb1003b0b740ac170e76ff67df9ac0d1714510635e4fe337b480ae165","observation_id":"65398178-3b2a-45d7-9369-36a0f7d7416c","resolution":{"observed_at":"2026-08-07T04:11:18.783018Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1102.3447","last_updated":"2011-02-16T22:35:38Z","snapshot_observed_at":"2026-07-06T02:23:38.963726Z","submitted_at":"2011-02-16T22:35:38Z","title":"On Tensor Products of Simple Modules for Simple Groups","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1102.3447","snapshot_observed_at":"2026-08-07T04:11:18.770559Z","title":"262 DANIEL TUBBENHAUER [DJM98] R","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2506.18918","last_updated":"2025-06-13T07:56:18Z","snapshot_observed_at":"2026-08-07T04:01:59.699577Z","submitted_at":"2025-06-13T07:56:18Z","title":"Quantum topology without topology","version":1},"reference_index":2013,"source":"pdf_text","source_observed_at":"2026-08-07T04:11:18.770559Z"},"links":{"cited_paper":"/paper/1102.3447","citing_paper":"/paper/2506.18918"},"observation_digest":"sha256:ec9756becea794218c66c19a7f64b8ce1573b9a4424a220c09323b95f2de0551","observation_id":"75ec87fe-bdae-45a2-b3d1-5494ade399f0","resolution":{"observed_at":"2026-08-07T04:11:18.770559Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1210.6437","last_updated":"2014-01-29T04:12:12Z","snapshot_observed_at":"2026-08-07T18:19:03.020183Z","submitted_at":"2012-10-24T05:45:38Z","title":"Webs and quantum skew Howe duality","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1210.6437","snapshot_observed_at":"2026-08-07T04:11:18.765505Z","title":"[CKW17] D","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.18918","last_updated":"2025-06-13T07:56:18Z","snapshot_observed_at":"2026-08-07T04:01:59.699577Z","submitted_at":"2025-06-13T07:56:18Z","title":"Quantum topology without topology","version":1},"reference_index":2014,"source":"pdf_text","source_observed_at":"2026-08-07T04:11:18.765505Z"},"links":{"cited_paper":"/paper/1210.6437","citing_paper":"/paper/2506.18918"},"observation_digest":"sha256:7ddcc48a658b687f012928770e9f613cba9bf891407fce8478cad46e9d48c809","observation_id":"0e379acb-2d43-4d54-965c-6dcad195fcdc","resolution":{"observed_at":"2026-08-07T04:11:18.765505Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1708.04853","last_updated":"2018-03-18T02:15:42Z","snapshot_observed_at":"2026-07-06T05:55:29.750608Z","submitted_at":"2017-08-16T11:40:46Z","title":"A polynomial time knot polynomial","version":3},"cited_work":{"arxiv_id":"1708.04853","doi":null,"metadata_source":"pith","pith_arxiv_id":"1708.04853","snapshot_observed_at":"2026-08-07T04:11:19.014664Z","title":"A polynomial time knot polynomial","venue":"math.GT","work_id":"71e41ab5-64eb-4932-9a71-352cef6857da","year":2017},"citing_paper":{"arxiv_id":"2506.18918","last_updated":"2025-06-13T07:56:18Z","snapshot_observed_at":"2026-08-07T04:01:59.699577Z","submitted_at":"2025-06-13T07:56:18Z","title":"Quantum topology without topology","version":1},"reference_index":2019,"source":"pdf_text","source_observed_at":"2026-08-07T04:11:18.759777Z"},"links":{"cited_paper":"/paper/1708.04853","citing_paper":"/paper/2506.18918"},"observation_digest":"sha256:022a82efc1d864ad6ad9a9ee9a32751c72c89a183f7fbacdf688bdecbab0c53c","observation_id":"41732377-96cd-4054-9e1a-953776b895e0","resolution":{"observed_at":"2026-08-07T04:11:19.020408Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1801.02244","last_updated":"2019-09-05T10:58:29Z","snapshot_observed_at":"2026-07-06T06:17:32.370149Z","submitted_at":"2018-01-07T20:27:35Z","title":"Symmetric Khovanov--Rozansky link homologies","version":3},"cited_work":{"arxiv_id":"1801.02244","doi":null,"metadata_source":"pith","pith_arxiv_id":"1801.02244","snapshot_observed_at":"2026-08-07T04:11:18.851444Z","title":"Symmetric Khovanov--Rozansky link homologies","venue":"math.GT","work_id":"d8d2e3d0-912c-43f9-82db-de7198c7e8c5","year":2018},"citing_paper":{"arxiv_id":"2506.18918","last_updated":"2025-06-13T07:56:18Z","snapshot_observed_at":"2026-08-07T04:01:59.699577Z","submitted_at":"2025-06-13T07:56:18Z","title":"Quantum topology without topology","version":1},"reference_index":2020,"source":"pdf_text","source_observed_at":"2026-08-07T04:11:18.788201Z"},"links":{"cited_paper":"/paper/1801.02244","citing_paper":"/paper/2506.18918"},"observation_digest":"sha256:8b6d7ebb47a9b890197912f0838cce6481aa661177bda1255dc31847c1fab08a","observation_id":"9036cf6d-ca2a-47fa-bf07-4d1d9615cf02","resolution":{"observed_at":"2026-08-07T04:11:18.858361Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2310.00326","last_updated":"2023-09-30T10:04:57Z","snapshot_observed_at":"2026-07-06T16:25:54.621792Z","submitted_at":"2023-09-30T10:04:57Z","title":"The Beauty of Roots","version":1},"cited_work":{"arxiv_id":"2310.00326","doi":null,"metadata_source":"pith","pith_arxiv_id":"2310.00326","snapshot_observed_at":"2026-08-07T04:11:19.039174Z","title":"The Beauty of Roots","venue":"math.HO","work_id":"34a849eb-2380-4c1b-a0a2-0ca8cc5f6835","year":2023},"citing_paper":{"arxiv_id":"2506.18918","last_updated":"2025-06-13T07:56:18Z","snapshot_observed_at":"2026-08-07T04:01:59.699577Z","submitted_at":"2025-06-13T07:56:18Z","title":"Quantum topology without topology","version":1},"reference_index":2023,"source":"pdf_text","source_observed_at":"2026-08-07T04:11:17.887441Z"},"links":{"cited_paper":"/paper/2310.00326","citing_paper":"/paper/2506.18918"},"observation_digest":"sha256:621dd214dccb75ed36d798ed67b865bff3c2cf208f084f1d51f5fde109bc1644","observation_id":"aff7c5a6-b1dc-4d8c-a950-3d5a68155366","resolution":{"observed_at":"2026-08-07T04:11:19.044428Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.18918","last_updated":"2025-06-13T07:56:18Z","latest_version":1,"primary_category":"math.QA","snapshot_observed_at":"2026-08-07T04:01:59.699577Z","submitted_at":"2025-06-13T07:56:18Z","title":"Quantum topology without topology"},"reference_resolution":{"displayed":8,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":5,"verified_exact":3,"verified_fuzzy":0},"total_outbound_references":8},"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":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 8 of 8 outbound references and 2 inbound Pith citation observations for arXiv:2506.18918."}