{"as_of":"2026-08-08T17:12:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:4b80514c14be5c1759910bc329582695022d6c30773f448a6bd67360f897d283","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":9,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":9,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":9,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":9,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T21:46:00.796512Z","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":"2026-05-25T08:36:48.286515Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1904.10491","last_updated":"2024-07-31T05:06:06Z","snapshot_observed_at":"2026-07-06T07:47:53.894064Z","submitted_at":"2019-04-23T18:50:15Z","title":"Quantum geometry of moduli spaces of local systems and representation theory","version":4},"cited_work":{"arxiv_id":"1904.10491","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1904.10491","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"[Hug23] James Hughes","venue":null,"work_id":"f3950e3e-2fb1-486b-aab8-2590694951e9","year":1904},"citing_paper":{"arxiv_id":"2405.14727","last_updated":"2026-04-15T20:03:27Z","snapshot_observed_at":"2026-07-06T18:18:43.328203Z","submitted_at":"2024-05-23T15:55:13Z","title":"Quantized Geodesic Lengths for Teichm\\\"uller Spaces: Algebraic Aspects","version":4},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-05-24T01:06:50.940365Z"},"links":{"cited_paper":"/paper/1904.10491","citing_paper":"/paper/2405.14727"},"observation_digest":"sha256:ba7f82ba9af6f5940faad55486231d834f413ddb7ad330774c8fce5db26bfe09","observation_id":"a95649fa-ec3d-40ce-b86d-e604b9fa6f19","resolution":{"observed_at":"2026-05-24T01:08:41.862484Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1904.10491","last_updated":"2024-07-31T05:06:06Z","snapshot_observed_at":"2026-07-06T07:47:53.894064Z","submitted_at":"2019-04-23T18:50:15Z","title":"Quantum geometry of moduli spaces of local systems and representation theory","version":4},"cited_work":{"arxiv_id":"1904.10491","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1904.10491","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"[Hug23] James Hughes","venue":null,"work_id":"f3950e3e-2fb1-486b-aab8-2590694951e9","year":1904},"citing_paper":{"arxiv_id":"2407.04178","last_updated":"2026-05-02T19:45:03Z","snapshot_observed_at":"2026-07-06T18:41:44.784690Z","submitted_at":"2024-07-04T22:37:57Z","title":"Monomial web basis for the SL(N) skein algebra of the twice punctured sphere","version":3},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-05-23T23:05:47.321983Z"},"links":{"cited_paper":"/paper/1904.10491","citing_paper":"/paper/2407.04178"},"observation_digest":"sha256:961ab24ff7e15ac6b12bbcac84ac635adb71db96f6e441aa1531069f3628af53","observation_id":"0097233a-6551-4c89-a156-723b7d1f2c7a","resolution":{"observed_at":"2026-05-23T23:05:51.236470Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1904.10491","last_updated":"2024-07-31T05:06:06Z","snapshot_observed_at":"2026-07-06T07:47:53.894064Z","submitted_at":"2019-04-23T18:50:15Z","title":"Quantum geometry of moduli spaces of local systems and representation theory","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1904.10491","snapshot_observed_at":"2026-08-07T21:46:00.796512Z","title":"Goncharov, L","venue":null,"work_id":null,"year":1904},"citing_paper":{"arxiv_id":"2502.09430","last_updated":"2025-02-13T15:51:57Z","snapshot_observed_at":"2026-08-07T21:28:10.545745Z","submitted_at":"2025-02-13T15:51:57Z","title":"Analogue of Feigin's map on $\\imath$quantum group of split type","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-07T21:46:00.796512Z"},"links":{"cited_paper":"/paper/1904.10491","citing_paper":"/paper/2502.09430"},"observation_digest":"sha256:1b305838c7cabe011ef8311a88a0e020c071557578d3cf2c92409d6c7f1adf65","observation_id":"86af49ba-9412-45a5-aea8-c80888a3ce97","resolution":{"observed_at":"2026-08-07T21:46:00.796512Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1904.10491","last_updated":"2024-07-31T05:06:06Z","snapshot_observed_at":"2026-07-06T07:47:53.894064Z","submitted_at":"2019-04-23T18:50:15Z","title":"Quantum geometry of moduli spaces of local systems and representation theory","version":4},"cited_work":{"arxiv_id":"1904.10491","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1904.10491","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"[Hug23] James Hughes","venue":null,"work_id":"f3950e3e-2fb1-486b-aab8-2590694951e9","year":1904},"citing_paper":{"arxiv_id":"2503.08020","last_updated":"2026-05-21T18:52:33Z","snapshot_observed_at":"2026-07-06T20:50:23.458400Z","submitted_at":"2025-03-11T04:01:21Z","title":"Weighted Cycles on Weaves","version":3},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-05-25T08:36:07.203399Z"},"links":{"cited_paper":"/paper/1904.10491","citing_paper":"/paper/2503.08020"},"observation_digest":"sha256:6b0147a4cb1263429327fa15673776cfa3d9b3bb83dd252a88a7315c12c21f3a","observation_id":"7440a2e3-e250-4b55-842b-e0517be849ac","resolution":{"observed_at":"2026-05-25T08:36:48.290284Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1904.10491","last_updated":"2024-07-31T05:06:06Z","snapshot_observed_at":"2026-07-06T07:47:53.894064Z","submitted_at":"2019-04-23T18:50:15Z","title":"Quantum geometry of moduli spaces of local systems and representation theory","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1904.10491","snapshot_observed_at":"2026-08-07T04:42:06.290009Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.10382","last_updated":"2025-08-08T03:00:33Z","snapshot_observed_at":"2026-08-07T04:25:32.319716Z","submitted_at":"2025-06-12T06:18:57Z","title":"Upper cluster structure on Kac--Moody Richardson varieties","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T04:42:06.290009Z"},"links":{"cited_paper":"/paper/1904.10491","citing_paper":"/paper/2506.10382"},"observation_digest":"sha256:7a085a2a1f78d22925d3076e4f0dccb26dffabe636f416523dba5a3a43c03616","observation_id":"a06e4211-349a-49a8-bd38-e6391caa865d","resolution":{"observed_at":"2026-08-07T04:42:06.290009Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1904.10491","last_updated":"2024-07-31T05:06:06Z","snapshot_observed_at":"2026-07-06T07:47:53.894064Z","submitted_at":"2019-04-23T18:50:15Z","title":"Quantum geometry of moduli spaces of local systems and representation theory","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1904.10491","snapshot_observed_at":"2026-08-05T10:48:06.856746Z","title":"``Quantum geometry of moduli spaces of local systems and representation theory.'' arXiv:1904.10491 (2019)","venue":null,"work_id":null,"year":1904},"citing_paper":{"arxiv_id":"2509.03820","last_updated":"2025-09-04T02:11:30Z","snapshot_observed_at":"2026-08-08T15:09:35.408138Z","submitted_at":"2025-09-04T02:11:30Z","title":"The algebraic modular functor conjecture in type $A_n$ quantum Teichm\\\"uller theory","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-05T10:48:06.856746Z"},"links":{"cited_paper":"/paper/1904.10491","citing_paper":"/paper/2509.03820"},"observation_digest":"sha256:0e4a54e75d513a4d25f0d3d45efae840376666785ec202c62d718d1f50dc2219","observation_id":"da758803-e291-4f8f-a969-b548764f1e1f","resolution":{"observed_at":"2026-08-05T10:48:06.856746Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1904.10491","last_updated":"2024-07-31T05:06:06Z","snapshot_observed_at":"2026-07-06T07:47:53.894064Z","submitted_at":"2019-04-23T18:50:15Z","title":"Quantum geometry of moduli spaces of local systems and representation theory","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1904.10491","snapshot_observed_at":"2026-08-02T19:51:58.907239Z","title":"[GW23] U","venue":null,"work_id":null,"year":1904},"citing_paper":{"arxiv_id":"2603.00816","last_updated":"2026-06-02T10:45:12Z","snapshot_observed_at":"2026-08-06T01:47:39.065118Z","submitted_at":"2026-02-28T21:25:59Z","title":"Adjoint Reidemeister torsion of 3-manifolds with torus boundary for semisimple algebraic groups","version":2},"reference_index":2019,"source":"pdf_text","source_observed_at":"2026-08-02T19:51:58.907239Z"},"links":{"cited_paper":"/paper/1904.10491","citing_paper":"/paper/2603.00816"},"observation_digest":"sha256:6a76556bcbcabe9d48760addd0863109476978522dad5ec5cf96c7fa245f501b","observation_id":"c587d4fb-4439-4565-a573-deade7cf11f9","resolution":{"observed_at":"2026-08-02T19:51:58.907239Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1904.10491","last_updated":"2024-07-31T05:06:06Z","snapshot_observed_at":"2026-07-06T07:47:53.894064Z","submitted_at":"2019-04-23T18:50:15Z","title":"Quantum geometry of moduli spaces of local systems and representation theory","version":4},"cited_work":{"arxiv_id":"1904.10491","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1904.10491","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"[Hug23] James Hughes","venue":null,"work_id":"f3950e3e-2fb1-486b-aab8-2590694951e9","year":1904},"citing_paper":{"arxiv_id":"2604.25463","last_updated":"2026-04-28T10:08:55Z","snapshot_observed_at":"2026-08-02T12:47:09.732392Z","submitted_at":"2026-04-28T10:08:55Z","title":"Liouville Blocks from Spectral Networks","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-05-07T16:00:47.044559Z"},"links":{"cited_paper":"/paper/1904.10491","citing_paper":"/paper/2604.25463"},"observation_digest":"sha256:0fa6d3b2d24bd6f2b0a2557fe8773aea5ce919790169b8f8212aea28a620df11","observation_id":"41696022-d780-4120-9081-52f9400ac9fd","resolution":{"observed_at":"2026-05-11T23:56:13.577587Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1904.10491","last_updated":"2024-07-31T05:06:06Z","snapshot_observed_at":"2026-07-06T07:47:53.894064Z","submitted_at":"2019-04-23T18:50:15Z","title":"Quantum geometry of moduli spaces of local systems and representation theory","version":4},"cited_work":{"arxiv_id":"1904.10491","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1904.10491","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"[Hug23] James Hughes","venue":null,"work_id":"f3950e3e-2fb1-486b-aab8-2590694951e9","year":1904},"citing_paper":{"arxiv_id":"2605.12572","last_updated":"2026-05-12T11:18:38Z","snapshot_observed_at":"2026-08-07T07:35:49.687435Z","submitted_at":"2026-05-12T11:18:38Z","title":"Chewing gums, snakes and candle cakes","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-05-14T20:43:13.755767Z"},"links":{"cited_paper":"/paper/1904.10491","citing_paper":"/paper/2605.12572"},"observation_digest":"sha256:ae69b9310b94266cb4304696477017c7a50f366fb3c4f624e4db34ecc75339b6","observation_id":"38831116-4539-4777-b69d-b978b556bed8","resolution":{"observed_at":"2026-05-14T20:47:59.066995Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/1904.10491/citation-record","integrity":"/paper/1904.10491/integrity","json":"/paper/1904.10491/citation-record.json","paper":"/paper/1904.10491"},"outbound":[],"paper":{"arxiv_id":"1904.10491","last_updated":"2024-07-31T05:06:06Z","latest_version":4,"primary_category":"math.RT","snapshot_observed_at":"2026-07-06T07:47:53.894064Z","submitted_at":"2019-04-23T18:50:15Z","title":"Quantum geometry of moduli spaces of local systems and representation theory"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 9 inbound Pith citation observations for arXiv:1904.10491."}