{"as_of":"2026-08-09T02:55:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:ad07596f69bc434eb9304b70d1117b5d14fb26e02360b3443c6ea6af497721c5","coverage":[{"denominator":25,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":25,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T19:23:12.208468Z","state":"measured"},{"denominator":26,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":26,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T19:26:21.473580Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-06T19:26:22.083529Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2507.06318","last_updated":"2025-07-08T18:11:35Z","snapshot_observed_at":"2026-08-06T19:05:19.392128Z","submitted_at":"2025-07-08T18:11:35Z","title":"Semisimplicity of conformal blocks","version":1},"cited_work":{"arxiv_id":"2507.06318","doi":null,"metadata_source":"pith","pith_arxiv_id":"2507.06318","snapshot_observed_at":"2026-08-06T19:26:22.083529Z","title":"Semisimplicity of conformal blocks","venue":"math.AG","work_id":"0e483fe6-4d1c-4a71-b964-f352608ab077","year":2025},"citing_paper":{"arxiv_id":"2507.05845","last_updated":"2025-08-05T09:31:59Z","snapshot_observed_at":"2026-08-08T06:05:44.761733Z","submitted_at":"2025-07-08T10:19:06Z","title":"Modular functors from conformal blocks of rational vertex operator algebras","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:21.473580Z"},"links":{"cited_paper":"/paper/2507.06318","citing_paper":"/paper/2507.05845"},"observation_digest":"sha256:1fb5d7b78057e647ab73a225e4445078e55741b27fa2e7eb6a8b726a3cba523f","observation_id":"c34aa570-0d58-40ab-bdda-16433c93eba0","resolution":{"observed_at":"2026-08-06T19:26:22.090340Z","resolver_source":"local_arxiv","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"}}],"links":{"evidence":"/evidence","html":"/paper/2507.06318/citation-record","integrity":"/paper/2507.06318/integrity","json":"/paper/2507.06318/citation-record.json","paper":"/paper/2507.06318"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:23:15.070610Z","title":"Compactifying the space of stable maps.Journal of the American Mathematical Society, 15(1):27–75, January 2002","venue":null,"work_id":"17ea88ce-20bb-45cf-84b1-8d43ac6918e8","year":2002},"citing_paper":{"arxiv_id":"2507.06318","last_updated":"2025-07-08T18:11:35Z","snapshot_observed_at":"2026-08-06T19:05:19.392128Z","submitted_at":"2025-07-08T18:11:35Z","title":"Semisimplicity of conformal blocks","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T19:23:10.668987Z"},"links":{"citing_paper":"/paper/2507.06318"},"observation_digest":"sha256:2e5b4588bf50339c61d1d1e561d71764afbe449d3855d34dd9b35137c61fee7a","observation_id":"b210694d-6d7e-4e18-b1b9-3eca6405949f","resolution":{"observed_at":"2026-08-06T19:23:15.074236Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:23:15.062535Z","title":"American Mathematical Society, Providence, Rhode Island, November 2000","venue":null,"work_id":"33b966da-64d7-49fa-a32f-162415a554f1","year":2000},"citing_paper":{"arxiv_id":"2507.06318","last_updated":"2025-07-08T18:11:35Z","snapshot_observed_at":"2026-08-06T19:05:19.392128Z","submitted_at":"2025-07-08T18:11:35Z","title":"Semisimplicity of conformal blocks","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T19:23:10.722247Z"},"links":{"citing_paper":"/paper/2507.06318"},"observation_digest":"sha256:2639ce6c4a4c551288c7c798f7bcf0f7142332743d7020c0155debf588afa402","observation_id":"55d54fd7-3915-4ba5-8ad2-81c7b9b4a895","resolution":{"observed_at":"2026-08-06T19:23:15.065199Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:23:15.053849Z","title":"Unitarity of the KZ/Hitchin connection on conformal blocks in genus 0 for arbitrary Lie algebras.Journal de Mathématiques Pures et Appliquées, 98(4):367–389, October 2012","venue":null,"work_id":"b0be7da7-e637-4417-9475-9618a9d932e7","year":2012},"citing_paper":{"arxiv_id":"2507.06318","last_updated":"2025-07-08T18:11:35Z","snapshot_observed_at":"2026-08-06T19:05:19.392128Z","submitted_at":"2025-07-08T18:11:35Z","title":"Semisimplicity of conformal blocks","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T19:23:10.769603Z"},"links":{"citing_paper":"/paper/2507.06318"},"observation_digest":"sha256:62f669cd346479941f19cfa37e1987198e20420615da36a9d9527c6af578d7fc","observation_id":"02b93fce-1436-4fba-abe2-1fec47beaa24","resolution":{"observed_at":"2026-08-06T19:23:15.057108Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:23:15.045531Z","title":"Stable twisted curves and their r-spin structures.Annales de l’Institut Fourier, 58(5):1635–1689, 2008","venue":null,"work_id":"644524f2-fc15-4ca0-bff6-1a46770487e1","year":2008},"citing_paper":{"arxiv_id":"2507.06318","last_updated":"2025-07-08T18:11:35Z","snapshot_observed_at":"2026-08-06T19:05:19.392128Z","submitted_at":"2025-07-08T18:11:35Z","title":"Semisimplicity of conformal blocks","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T19:23:10.821249Z"},"links":{"citing_paper":"/paper/2507.06318"},"observation_digest":"sha256:d962e821db1d43aeb80990343618877726585aa34057d788d0881acb731ad5c5","observation_id":"be960548-dc46-42b5-be3b-5a0b2876647a","resolution":{"observed_at":"2026-08-06T19:23:15.048316Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:23:15.037713Z","title":"Real homotopy theory of Kähler manifolds.Inventiones mathematicae, 29(3):245–274, October 1975","venue":null,"work_id":"f6d36111-7b29-4429-9156-1e8e75827fbe","year":1975},"citing_paper":{"arxiv_id":"2507.06318","last_updated":"2025-07-08T18:11:35Z","snapshot_observed_at":"2026-08-06T19:05:19.392128Z","submitted_at":"2025-07-08T18:11:35Z","title":"Semisimplicity of conformal blocks","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T19:23:10.884249Z"},"links":{"citing_paper":"/paper/2507.06318"},"observation_digest":"sha256:c5db1489718bb1a4806b023e0dbf5126b6aa4cabf087bf8510e2ffcaecd8c865","observation_id":"86d1e765-47aa-4207-bb70-866d0d818628","resolution":{"observed_at":"2026-08-06T19:23:15.040394Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:23:15.029553Z","title":"Toledo invariants of Topological Quantum Field Theo- ries, July 2022","venue":null,"work_id":"dae5afe0-3281-449e-b076-9262d67d282a","year":2022},"citing_paper":{"arxiv_id":"2507.06318","last_updated":"2025-07-08T18:11:35Z","snapshot_observed_at":"2026-08-06T19:05:19.392128Z","submitted_at":"2025-07-08T18:11:35Z","title":"Semisimplicity of conformal blocks","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T19:23:10.920189Z"},"links":{"citing_paper":"/paper/2507.06318"},"observation_digest":"sha256:877bc9562f57d14b474aedff0f1fa238a4bab0faaa0fdaa1d2cc21068c31ccab","observation_id":"fd3527f7-8f67-498c-b4ae-b1d727fafa4a","resolution":{"observed_at":"2026-08-06T19:23:15.032557Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:23:15.021166Z","title":"American Mathematical Society, Providence, Rhode Island, July 2015","venue":null,"work_id":"cffb0c47-7a72-4610-b09f-b7b481c7879f","year":2015},"citing_paper":{"arxiv_id":"2507.06318","last_updated":"2025-07-08T18:11:35Z","snapshot_observed_at":"2026-08-06T19:05:19.392128Z","submitted_at":"2025-07-08T18:11:35Z","title":"Semisimplicity of conformal blocks","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T19:23:10.957797Z"},"links":{"citing_paper":"/paper/2507.06318"},"observation_digest":"sha256:58845fa77d28b106a2000aa9b4ed75c62a530626753d711ecf483155625e8146","observation_id":"854b3fe6-4c71-4678-96cb-cae76ec9532c","resolution":{"observed_at":"2026-08-06T19:23:15.024208Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:23:15.012163Z","title":"On fusion categories.Annals of Mathe- matics, 162(2):581–642, September 2005","venue":null,"work_id":"75a710dc-29ae-4395-81e9-bdbcc66dd0d0","year":2005},"citing_paper":{"arxiv_id":"2507.06318","last_updated":"2025-07-08T18:11:35Z","snapshot_observed_at":"2026-08-06T19:05:19.392128Z","submitted_at":"2025-07-08T18:11:35Z","title":"Semisimplicity of conformal blocks","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T19:23:11.008202Z"},"links":{"citing_paper":"/paper/2507.06318"},"observation_digest":"sha256:eba0d08873d950b48db7a13f603c5b1e90745b51becf721f170a9debe98f9c86","observation_id":"d4682df3-c8bc-4c75-9ac8-01ca76eb961e","resolution":{"observed_at":"2026-08-06T19:23:15.015399Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:23:15.003712Z","title":"Rigidity of non-negligible objects of moderate growth in braided categories, December 2024","venue":null,"work_id":"279bb803-efbc-4b15-a451-58a644b42191","year":2024},"citing_paper":{"arxiv_id":"2507.06318","last_updated":"2025-07-08T18:11:35Z","snapshot_observed_at":"2026-08-06T19:05:19.392128Z","submitted_at":"2025-07-08T18:11:35Z","title":"Semisimplicity of conformal blocks","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T19:23:11.062377Z"},"links":{"citing_paper":"/paper/2507.06318"},"observation_digest":"sha256:50b6622e833af5bd7c3c1d7e911658add14262e64064a7a1e7e6272b53399db2","observation_id":"e5873690-1a6d-4888-9c74-ebcda8589fe7","resolution":{"observed_at":"2026-08-06T19:23:15.006911Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:23:14.995494Z","title":"Periodic and quasi-motivic pencils of flat connec- tions, December 2023","venue":null,"work_id":"3d1e7a2d-8f02-4b2f-9269-98ddcee51560","year":2023},"citing_paper":{"arxiv_id":"2507.06318","last_updated":"2025-07-08T18:11:35Z","snapshot_observed_at":"2026-08-06T19:05:19.392128Z","submitted_at":"2025-07-08T18:11:35Z","title":"Semisimplicity of conformal blocks","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T19:23:11.155616Z"},"links":{"citing_paper":"/paper/2507.06318"},"observation_digest":"sha256:bc7c839353a4a740070ba70a98a7fa6687bcf30958dc68662af66ae935613242","observation_id":"aeac7ffe-ab6a-44e6-b04f-7aace1e3a092","resolution":{"observed_at":"2026-08-06T19:23:14.998511Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:23:14.987018Z","title":"Instantons and framed sheaves on Kähler Deligne– Mumford stacks.Annales de la Faculté des sciences de Toulouse : Mathématiques, 27(3):599– 628, September 2018","venue":null,"work_id":"498fb795-ceeb-4c6f-8cf1-4a009f5b0cde","year":2018},"citing_paper":{"arxiv_id":"2507.06318","last_updated":"2025-07-08T18:11:35Z","snapshot_observed_at":"2026-08-06T19:05:19.392128Z","submitted_at":"2025-07-08T18:11:35Z","title":"Semisimplicity of conformal blocks","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T19:23:11.203462Z"},"links":{"citing_paper":"/paper/2507.06318"},"observation_digest":"sha256:acce6a1c33981e94a9b8633402bd0a7315776d610ca328330ded34a22bf79483","observation_id":"46746fc6-323f-410a-9f41-bf1bb3bddc6f","resolution":{"observed_at":"2026-08-06T19:23:14.990011Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:23:14.978184Z","title":"Finkelberg","venue":null,"work_id":"5992fa39-c519-4847-9917-c392795a3e5a","year":1996},"citing_paper":{"arxiv_id":"2507.06318","last_updated":"2025-07-08T18:11:35Z","snapshot_observed_at":"2026-08-06T19:05:19.392128Z","submitted_at":"2025-07-08T18:11:35Z","title":"Semisimplicity of conformal blocks","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T19:23:11.251018Z"},"links":{"citing_paper":"/paper/2507.06318"},"observation_digest":"sha256:bbc69cba7633687bfcf362cc91f31d8904d72425bd395b8544af4b626468401d","observation_id":"c02438b9-161f-4fe7-99e9-98f12ac23eaf","resolution":{"observed_at":"2026-08-06T19:23:14.981047Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:23:14.846489Z","title":"Construction of Hodge structures on theSO(3)modular functors, February 2024","venue":null,"work_id":"d951430b-2e96-47d2-bfe2-023b230ae5db","year":2024},"citing_paper":{"arxiv_id":"2507.06318","last_updated":"2025-07-08T18:11:35Z","snapshot_observed_at":"2026-08-06T19:05:19.392128Z","submitted_at":"2025-07-08T18:11:35Z","title":"Semisimplicity of conformal blocks","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T19:23:11.304462Z"},"links":{"citing_paper":"/paper/2507.06318"},"observation_digest":"sha256:d986e100748ebe76424f485e7d5315b9d60266bf4dc7ff3619d508641f81cae2","observation_id":"29093822-33e3-4cfa-8818-b53054cb89bb","resolution":{"observed_at":"2026-08-06T19:23:14.972509Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:23:14.637941Z","title":"Hodge structures on conformal blocks, June 2024","venue":null,"work_id":"37b88d5d-34c2-4b9b-ab7e-e6d9908db645","year":2024},"citing_paper":{"arxiv_id":"2507.06318","last_updated":"2025-07-08T18:11:35Z","snapshot_observed_at":"2026-08-06T19:05:19.392128Z","submitted_at":"2025-07-08T18:11:35Z","title":"Semisimplicity of conformal blocks","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T19:23:11.350621Z"},"links":{"citing_paper":"/paper/2507.06318"},"observation_digest":"sha256:4561dc88618421a2e6bdf84d8d3498a0f46574d79556ea9eb7c0c81f0215e381","observation_id":"b6b12c99-49f3-4930-9d90-8a5648c557a8","resolution":{"observed_at":"2026-08-06T19:23:14.761062Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:23:14.389718Z","title":"Drinfeld centers of fusion categories arising from gen- eralized Haagerup subfactors.Quantum Topology, 13(4):593–668, January 2023","venue":null,"work_id":"02b9327e-a095-43f8-bcce-99deb7b21a7b","year":2023},"citing_paper":{"arxiv_id":"2507.06318","last_updated":"2025-07-08T18:11:35Z","snapshot_observed_at":"2026-08-06T19:05:19.392128Z","submitted_at":"2025-07-08T18:11:35Z","title":"Semisimplicity of conformal blocks","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T19:23:11.407441Z"},"links":{"citing_paper":"/paper/2507.06318"},"observation_digest":"sha256:5199e99476eb78cfe9244987950a8426dc36d41e9e60db3f08267f42da7a29f7","observation_id":"49b31b1d-97c1-4583-aea3-710acc1d8705","resolution":{"observed_at":"2026-08-06T19:23:14.488272Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:23:14.120618Z","title":"Kazhdan and G","venue":null,"work_id":"5a47f14b-31a6-4213-b2c8-d1adbb221906","year":1994},"citing_paper":{"arxiv_id":"2507.06318","last_updated":"2025-07-08T18:11:35Z","snapshot_observed_at":"2026-08-06T19:05:19.392128Z","submitted_at":"2025-07-08T18:11:35Z","title":"Semisimplicity of conformal blocks","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T19:23:11.459263Z"},"links":{"citing_paper":"/paper/2507.06318"},"observation_digest":"sha256:2b0917155a7f491e7e2c2c08344bf8b9d7f3eec4e4ed692c4f2143af88c9efba","observation_id":"02d8cc03-b5b0-4142-ad8d-bf54be59ce83","resolution":{"observed_at":"2026-08-06T19:23:14.226609Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:23:13.903680Z","title":null,"venue":null,"work_id":"4dea383b-3c61-4759-bc7a-35ad251a22c6","year":1998},"citing_paper":{"arxiv_id":"2507.06318","last_updated":"2025-07-08T18:11:35Z","snapshot_observed_at":"2026-08-06T19:05:19.392128Z","submitted_at":"2025-07-08T18:11:35Z","title":"Semisimplicity of conformal blocks","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T19:23:11.519756Z"},"links":{"citing_paper":"/paper/2507.06318"},"observation_digest":"sha256:7a9ffe3486a04bc64565ca49c347772f461c0213264fe121cbbbc4039b958f4d","observation_id":"cf05c50c-05a3-43f1-8353-5eb99c909a09","resolution":{"observed_at":"2026-08-06T19:23:13.999984Z","resolver_source":"raw_fallback","status":"unresolved"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:23:13.606750Z","title":"On an inner product in modular tensor categories.Journal of the Amer- ican Mathematical Society, 9(4):1135–1169, 1996","venue":null,"work_id":"12e8802b-4db1-4715-b185-48cbcb8436dd","year":1996},"citing_paper":{"arxiv_id":"2507.06318","last_updated":"2025-07-08T18:11:35Z","snapshot_observed_at":"2026-08-06T19:05:19.392128Z","submitted_at":"2025-07-08T18:11:35Z","title":"Semisimplicity of conformal blocks","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T19:23:11.627856Z"},"links":{"citing_paper":"/paper/2507.06318"},"observation_digest":"sha256:55428bdd6a350f932c3bb3dc644a0f13ad57a40acf12276aaf5519ba948c7c64","observation_id":"e48e734e-27e9-4ffe-8460-8a68d3f86e95","resolution":{"observed_at":"2026-08-06T19:23:13.778277Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:23:13.445618Z","title":"Non-cyclotomic fusion categories.Transactions of the American Mathematical Society, 364(9):4713–4733, September 2012","venue":null,"work_id":"e42efbbc-2563-4c25-a01e-cc9bc02fc0b8","year":2012},"citing_paper":{"arxiv_id":"2507.06318","last_updated":"2025-07-08T18:11:35Z","snapshot_observed_at":"2026-08-06T19:05:19.392128Z","submitted_at":"2025-07-08T18:11:35Z","title":"Semisimplicity of conformal blocks","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T19:23:11.683615Z"},"links":{"citing_paper":"/paper/2507.06318"},"observation_digest":"sha256:21a5dbece98407b01a2c284886e3d3baf8176ebe878bf4627a884eaa219fe20e","observation_id":"ac235e88-1df2-4abf-93a1-21b375a2cb7a","resolution":{"observed_at":"2026-08-06T19:23:13.528883Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:23:13.230142Z","title":"The ‘Harder-Narasimhan trace’ and unitarity of the KZ/Hitchin con- nection: Genus 0.Annals of Mathematics, 169(1):1–39, January 2009","venue":null,"work_id":"a8f8a640-50a9-4027-a1aa-e236a7b7a02c","year":2009},"citing_paper":{"arxiv_id":"2507.06318","last_updated":"2025-07-08T18:11:35Z","snapshot_observed_at":"2026-08-06T19:05:19.392128Z","submitted_at":"2025-07-08T18:11:35Z","title":"Semisimplicity of conformal blocks","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T19:23:11.788242Z"},"links":{"citing_paper":"/paper/2507.06318"},"observation_digest":"sha256:74c8f32f35830c410640932a75fb31b9736b96737a439fccef0a2e8c4eeda87f","observation_id":"3fe26ccf-2c59-47b8-916d-9177585b75ae","resolution":{"observed_at":"2026-08-06T19:23:13.291453Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:23:12.985576Z","title":"Reshetikhin and V","venue":null,"work_id":"c0572e75-8845-4756-808c-e8d2a71fdd44","year":1991},"citing_paper":{"arxiv_id":"2507.06318","last_updated":"2025-07-08T18:11:35Z","snapshot_observed_at":"2026-08-06T19:05:19.392128Z","submitted_at":"2025-07-08T18:11:35Z","title":"Semisimplicity of conformal blocks","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-06T19:23:11.893933Z"},"links":{"citing_paper":"/paper/2507.06318"},"observation_digest":"sha256:1ed60b49683653abfd87d4b1a89e02dc49f97bfe10ad714e23911e460052b516","observation_id":"d1a10336-0ff7-4998-9e68-75e432204037","resolution":{"observed_at":"2026-08-06T19:23:13.065799Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:23:12.850152Z","title":"Local Systems on Proper Algebraic V -manifolds.Pure and Applied Mathe- matics Quarterly, 7(4):1675–1760, 2011","venue":null,"work_id":"966ec08c-975f-47ba-8cf8-ab23cf287f66","year":2011},"citing_paper":{"arxiv_id":"2507.06318","last_updated":"2025-07-08T18:11:35Z","snapshot_observed_at":"2026-08-06T19:05:19.392128Z","submitted_at":"2025-07-08T18:11:35Z","title":"Semisimplicity of conformal blocks","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-06T19:23:12.041012Z"},"links":{"citing_paper":"/paper/2507.06318"},"observation_digest":"sha256:322cda829a5de44a2d7312646c00d9e9ff875a24d2b104378db7847ca5d8aee7","observation_id":"22cc3098-1437-43aa-bdb7-405dc16bcb65","resolution":{"observed_at":"2026-08-06T19:23:12.880608Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:23:12.691798Z","title":null,"venue":null,"work_id":"d11bbafc-8be7-4a7f-bac0-c0cd6b89d4a9","year":1992},"citing_paper":{"arxiv_id":"2507.06318","last_updated":"2025-07-08T18:11:35Z","snapshot_observed_at":"2026-08-06T19:05:19.392128Z","submitted_at":"2025-07-08T18:11:35Z","title":"Semisimplicity of conformal blocks","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-06T19:23:12.079938Z"},"links":{"citing_paper":"/paper/2507.06318"},"observation_digest":"sha256:4e079689e05df86c822c0200c188c9aefca4c19c034b747c504de4b65d87d55f","observation_id":"cc5a5f2e-32f9-407b-b7ec-bda541f970a1","resolution":{"observed_at":"2026-08-06T19:23:12.766696Z","resolver_source":"raw_fallback","status":"unresolved"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:23:12.467858Z","title":"Turaev.Quantum Invariants of Knots and 3-Manifolds","venue":null,"work_id":"6f0f974f-b10d-4d0f-9405-79ab91aa8c3e","year":2016},"citing_paper":{"arxiv_id":"2507.06318","last_updated":"2025-07-08T18:11:35Z","snapshot_observed_at":"2026-08-06T19:05:19.392128Z","submitted_at":"2025-07-08T18:11:35Z","title":"Semisimplicity of conformal blocks","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-06T19:23:12.135065Z"},"links":{"citing_paper":"/paper/2507.06318"},"observation_digest":"sha256:0d1eb78354913116b1928e70ba1c819d48a6268ef7f99380d1460fc0f7d01512","observation_id":"bada1a19-9262-406c-8488-9f092f0910d4","resolution":{"observed_at":"2026-08-06T19:23:12.618273Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:23:12.288249Z","title":null,"venue":null,"work_id":"7ac5bc10-7d75-485f-9fce-ebb7f11efdc2","year":1998},"citing_paper":{"arxiv_id":"2507.06318","last_updated":"2025-07-08T18:11:35Z","snapshot_observed_at":"2026-08-06T19:05:19.392128Z","submitted_at":"2025-07-08T18:11:35Z","title":"Semisimplicity of conformal blocks","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-06T19:23:12.208468Z"},"links":{"citing_paper":"/paper/2507.06318"},"observation_digest":"sha256:1f4ed3c594ea72309f2a313b190b05839e184bbaac44e3477964ad1f381b52f0","observation_id":"ee03987e-67e2-4503-a877-020670beb5cd","resolution":{"observed_at":"2026-08-06T19:23:12.379943Z","resolver_source":"raw_fallback","status":"unresolved"},"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"}}],"paper":{"arxiv_id":"2507.06318","last_updated":"2025-07-08T18:11:35Z","latest_version":1,"primary_category":"math.AG","snapshot_observed_at":"2026-08-06T19:05:19.392128Z","submitted_at":"2025-07-08T18:11:35Z","title":"Semisimplicity of conformal blocks"},"reference_resolution":{"displayed":25,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":3,"verified_exact":0,"verified_fuzzy":22},"total_outbound_references":25},"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 9 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 1 inbound Pith citation observation for arXiv:2507.06318."}