{"as_of":"2026-08-09T13:15:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:f0fa620ad6b9919c66c97df17485132cebe0734df69ce4a118d84aef793b3abe","coverage":[{"denominator":49,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":49,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-04T18:52:23.522577Z","state":"measured"},{"denominator":49,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":49,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+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/2509.09765/citation-record","integrity":"/paper/2509.09765/integrity","json":"/paper/2509.09765/citation-record.json","paper":"/paper/2509.09765"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2409.12224","last_updated":"2025-04-09T20:02:28Z","snapshot_observed_at":"2026-08-06T14:22:56.925320Z","submitted_at":"2024-09-18T18:00:00Z","title":"The Virasoro Completeness Relation and Inverse Shapovalov Form","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.12224","snapshot_observed_at":"2026-08-04T18:52:23.322949Z","title":"Virasoro completeness relation and the inverse Shapovalov form","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.09765","last_updated":"2026-06-29T10:03:25Z","snapshot_observed_at":"2026-08-08T19:01:48.550400Z","submitted_at":"2025-09-11T18:00:01Z","title":"Virasoro OPE and Conformal Blocks from the Inverse Shapovalov Form","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-04T18:52:23.322949Z"},"links":{"cited_paper":"/paper/2409.12224","citing_paper":"/paper/2509.09765"},"observation_digest":"sha256:c9f9cd362139a6b11b1a61a8e3782dd57056cf2483814e674fca13941177df06","observation_id":"f1e49bd4-2abd-4a55-b726-afb94417f4c6","resolution":{"observed_at":"2026-08-04T18:52:23.322949Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T18:52:23.328219Z","title":"Infinite Conformal Symmetry in Two-Dimensional Quantum Field Theory","venue":null,"work_id":null,"year":1984},"citing_paper":{"arxiv_id":"2509.09765","last_updated":"2026-06-29T10:03:25Z","snapshot_observed_at":"2026-08-08T19:01:48.550400Z","submitted_at":"2025-09-11T18:00:01Z","title":"Virasoro OPE and Conformal Blocks from the Inverse Shapovalov Form","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-04T18:52:23.328219Z"},"links":{"citing_paper":"/paper/2509.09765"},"observation_digest":"sha256:1b47bd40aa82f9dc6e4b18841d6cfdf1f5c8b87133a6cf1c2d03d989104f301d","observation_id":"a119ae84-e55f-44eb-81b0-dde89e664ef5","resolution":{"observed_at":"2026-08-04T18:52:23.328219Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1406.4290","last_updated":"2022-07-20T13:11:46Z","snapshot_observed_at":"2026-07-06T03:46:31.473181Z","submitted_at":"2014-06-17T09:30:13Z","title":"Conformal field theory on the plane","version":6},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1406.4290","snapshot_observed_at":"2026-08-04T18:52:23.332292Z","title":"Conformal field theory on the plane","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.09765","last_updated":"2026-06-29T10:03:25Z","snapshot_observed_at":"2026-08-08T19:01:48.550400Z","submitted_at":"2025-09-11T18:00:01Z","title":"Virasoro OPE and Conformal Blocks from the Inverse Shapovalov Form","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-04T18:52:23.332292Z"},"links":{"cited_paper":"/paper/1406.4290","citing_paper":"/paper/2509.09765"},"observation_digest":"sha256:6275885871a062bc75d502b06ed5d5642d568a64bdd3677693e99b28b0373445","observation_id":"56659be5-c30f-4123-ad09-da657963ec38","resolution":{"observed_at":"2026-08-04T18:52:23.332292Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1708.00680","last_updated":"2017-08-03T14:52:03Z","snapshot_observed_at":"2026-07-06T05:53:44.547337Z","submitted_at":"2017-08-02T10:17:33Z","title":"A guide to two-dimensional conformal field theory","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1708.00680","snapshot_observed_at":"2026-08-04T18:52:23.336979Z","title":"A guide to two-dimensional conformal field theory","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.09765","last_updated":"2026-06-29T10:03:25Z","snapshot_observed_at":"2026-08-08T19:01:48.550400Z","submitted_at":"2025-09-11T18:00:01Z","title":"Virasoro OPE and Conformal Blocks from the Inverse Shapovalov Form","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-04T18:52:23.336979Z"},"links":{"cited_paper":"/paper/1708.00680","citing_paper":"/paper/2509.09765"},"observation_digest":"sha256:5e5c05595b079f84f01c5b3516865846e99aa296f397ea58d804bc6c207349c6","observation_id":"0035807f-005f-415d-89b0-8a18a3fce404","resolution":{"observed_at":"2026-08-04T18:52:23.336979Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.18307","last_updated":"2025-08-19T09:16:04Z","snapshot_observed_at":"2026-08-04T07:07:58.175915Z","submitted_at":"2024-12-24T09:45:00Z","title":"Modern Approach to 2D Conformal Field Theory","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.18307","snapshot_observed_at":"2026-08-04T18:52:23.341466Z","title":"Modern Approach to 2D Conformal Field Theory","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.09765","last_updated":"2026-06-29T10:03:25Z","snapshot_observed_at":"2026-08-08T19:01:48.550400Z","submitted_at":"2025-09-11T18:00:01Z","title":"Virasoro OPE and Conformal Blocks from the Inverse Shapovalov Form","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-04T18:52:23.341466Z"},"links":{"cited_paper":"/paper/2412.18307","citing_paper":"/paper/2509.09765"},"observation_digest":"sha256:6a4aa4b596e4a659b9de22544c243581357b7c5767cd5410828c8232190c4990","observation_id":"a35979c6-19ae-4af4-be8b-d6f1a996148f","resolution":{"observed_at":"2026-08-04T18:52:23.341466Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0807.3472","last_updated":"2008-07-22T13:04:42Z","snapshot_observed_at":"2026-08-01T20:38:04.508605Z","submitted_at":"2008-07-22T13:04:42Z","title":"Conformal Field Theory and Statistical Mechanics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0807.3472","snapshot_observed_at":"2026-08-04T18:52:23.345763Z","title":"Conformal Field Theory and Statistical Mechanics","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.09765","last_updated":"2026-06-29T10:03:25Z","snapshot_observed_at":"2026-08-08T19:01:48.550400Z","submitted_at":"2025-09-11T18:00:01Z","title":"Virasoro OPE and Conformal Blocks from the Inverse Shapovalov Form","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-04T18:52:23.345763Z"},"links":{"cited_paper":"/paper/0807.3472","citing_paper":"/paper/2509.09765"},"observation_digest":"sha256:44333c7e3cf18922464b9df06684517c3362eaf73d3426e750cd4a7aa0fdb787","observation_id":"442dce70-edca-4bb8-b11e-effd88e32005","resolution":{"observed_at":"2026-08-04T18:52:23.345763Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T18:52:23.350023Z","title":"String theory. Vol. 1: An introduction to the bosonic string; String theory. Vol. 2: Superstring theory and beyond","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2509.09765","last_updated":"2026-06-29T10:03:25Z","snapshot_observed_at":"2026-08-08T19:01:48.550400Z","submitted_at":"2025-09-11T18:00:01Z","title":"Virasoro OPE and Conformal Blocks from the Inverse Shapovalov Form","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-04T18:52:23.350023Z"},"links":{"citing_paper":"/paper/2509.09765"},"observation_digest":"sha256:ae85057a3cd4faefb1e90fa8b4e06fc12648d5dbc71d6a722a62b01bed7ae7f9","observation_id":"fb5efa57-1ff0-4513-bf94-444b2dff0621","resolution":{"observed_at":"2026-08-04T18:52:23.350023Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9412229","last_updated":"1994-12-28T23:19:42Z","snapshot_observed_at":"2026-08-08T22:09:54.262981Z","submitted_at":"1994-12-28T23:19:42Z","title":"Integrable Structure of Conformal Field Theory, Quantum KdV Theory and Thermodynamic Bethe Ansatz","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9412229","snapshot_observed_at":"2026-08-04T18:52:23.354152Z","title":"Integrable structure of conformal field theory, quantum KdV theory and thermodynamic Bethe ansatz","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2509.09765","last_updated":"2026-06-29T10:03:25Z","snapshot_observed_at":"2026-08-08T19:01:48.550400Z","submitted_at":"2025-09-11T18:00:01Z","title":"Virasoro OPE and Conformal Blocks from the Inverse Shapovalov Form","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-04T18:52:23.354152Z"},"links":{"cited_paper":"/paper/hep-th/9412229","citing_paper":"/paper/2509.09765"},"observation_digest":"sha256:1c0b18d454b578acbb2bb24fedcd862ca486daaaee66ba23cf3a8ed85325b7f5","observation_id":"fd72cdb1-ce2f-4dc6-87a9-ca9f2c748368","resolution":{"observed_at":"2026-08-04T18:52:23.354152Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0907.0151","last_updated":"2009-10-05T17:00:50Z","snapshot_observed_at":"2026-07-06T01:58:39.583457Z","submitted_at":"2009-07-01T19:57:13Z","title":"Holography from Conformal Field Theory","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0907.0151","snapshot_observed_at":"2026-08-04T18:52:23.358412Z","title":"Holography from Conformal Field Theory","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2509.09765","last_updated":"2026-06-29T10:03:25Z","snapshot_observed_at":"2026-08-08T19:01:48.550400Z","submitted_at":"2025-09-11T18:00:01Z","title":"Virasoro OPE and Conformal Blocks from the Inverse Shapovalov Form","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-04T18:52:23.358412Z"},"links":{"cited_paper":"/paper/0907.0151","citing_paper":"/paper/2509.09765"},"observation_digest":"sha256:f6e4bf92e341b607f1b4021c4b605154224c45cd12e5328ed2b0fd48688628dc","observation_id":"eb12e3f2-d3e7-4fd6-b790-9323291fdeb4","resolution":{"observed_at":"2026-08-04T18:52:23.358412Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1303.6955","last_updated":"2013-03-27T20:00:05Z","snapshot_observed_at":"2026-07-31T04:25:35.309845Z","submitted_at":"2013-03-27T20:00:05Z","title":"Entanglement Entropy at Large Central Charge","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1303.6955","snapshot_observed_at":"2026-08-04T18:52:23.363048Z","title":"Entanglement Entropy at Large Central Charge","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.09765","last_updated":"2026-06-29T10:03:25Z","snapshot_observed_at":"2026-08-08T19:01:48.550400Z","submitted_at":"2025-09-11T18:00:01Z","title":"Virasoro OPE and Conformal Blocks from the Inverse Shapovalov Form","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-04T18:52:23.363048Z"},"links":{"cited_paper":"/paper/1303.6955","citing_paper":"/paper/2509.09765"},"observation_digest":"sha256:80a5b89aff0af8314a0663a54a9b2fac40013c683805f1c8e1b07cc3203dc8b2","observation_id":"42d1aee9-583f-4c87-a994-b707de7a76e7","resolution":{"observed_at":"2026-08-04T18:52:23.363048Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1501.05315","last_updated":"2015-10-15T17:18:53Z","snapshot_observed_at":"2026-08-02T13:09:38.462072Z","submitted_at":"2015-01-21T21:00:20Z","title":"Virasoro Conformal Blocks and Thermality from Classical Background Fields","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1501.05315","snapshot_observed_at":"2026-08-04T18:52:23.367477Z","title":"Virasoro Conformal Blocks and Thermality from Classical Background Fields","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2509.09765","last_updated":"2026-06-29T10:03:25Z","snapshot_observed_at":"2026-08-08T19:01:48.550400Z","submitted_at":"2025-09-11T18:00:01Z","title":"Virasoro OPE and Conformal Blocks from the Inverse Shapovalov Form","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-04T18:52:23.367477Z"},"links":{"cited_paper":"/paper/1501.05315","citing_paper":"/paper/2509.09765"},"observation_digest":"sha256:08b0af990b76e842405f5003c0dfaa058752c4e4549305c23fa6a411686bdf57","observation_id":"5eafd1aa-fd51-442a-b3f9-6c1a3c23ab6a","resolution":{"observed_at":"2026-08-04T18:52:23.367477Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T18:52:23.372431Z","title":"Conformal Field Theory, 2-DQuantum Gravity and Quantization of Teichmuller Space","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2509.09765","last_updated":"2026-06-29T10:03:25Z","snapshot_observed_at":"2026-08-08T19:01:48.550400Z","submitted_at":"2025-09-11T18:00:01Z","title":"Virasoro OPE and Conformal Blocks from the Inverse Shapovalov Form","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-04T18:52:23.372431Z"},"links":{"citing_paper":"/paper/2509.09765"},"observation_digest":"sha256:d87bbeea9df84a291dad9aa06769f6271d93631580a6ec1bd5a5aa1a9450a6ca","observation_id":"e0c78f7b-6e21-42a7-9818-0ac60a349224","resolution":{"observed_at":"2026-08-04T18:52:23.372431Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2304.13650","last_updated":"2023-08-12T13:22:39Z","snapshot_observed_at":"2026-08-09T07:57:02.505649Z","submitted_at":"2023-04-26T16:17:55Z","title":"Solving 3d Gravity with Virasoro TQFT","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2304.13650","snapshot_observed_at":"2026-08-04T18:52:23.376508Z","title":"Solving 3d gravity with Virasoro TQFT","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.09765","last_updated":"2026-06-29T10:03:25Z","snapshot_observed_at":"2026-08-08T19:01:48.550400Z","submitted_at":"2025-09-11T18:00:01Z","title":"Virasoro OPE and Conformal Blocks from the Inverse Shapovalov Form","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-04T18:52:23.376508Z"},"links":{"cited_paper":"/paper/2304.13650","citing_paper":"/paper/2509.09765"},"observation_digest":"sha256:d693adb0bbd9d6dbf5e2838608f1bd18c17c27370f7948017d4915a491e8622e","observation_id":"89fbee19-4824-4cd6-a7a0-d30e126c5b79","resolution":{"observed_at":"2026-08-04T18:52:23.376508Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2501.01486","last_updated":"2025-01-02T19:00:00Z","snapshot_observed_at":"2026-08-08T14:02:17.969662Z","submitted_at":"2025-01-02T19:00:00Z","title":"A microscopic realization of dS$_3$","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2501.01486","snapshot_observed_at":"2026-08-04T18:52:23.380477Z","title":"A microscopic realization of dS 3","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.09765","last_updated":"2026-06-29T10:03:25Z","snapshot_observed_at":"2026-08-08T19:01:48.550400Z","submitted_at":"2025-09-11T18:00:01Z","title":"Virasoro OPE and Conformal Blocks from the Inverse Shapovalov Form","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-04T18:52:23.380477Z"},"links":{"cited_paper":"/paper/2501.01486","citing_paper":"/paper/2509.09765"},"observation_digest":"sha256:c1aec4d4ae0f7e3f1e3aa5f27b35eb50de9b68cdb4689c9a091df8d36f904020","observation_id":"6f92038c-3758-4e3d-bf63-85f1b3da3e81","resolution":{"observed_at":"2026-08-04T18:52:23.380477Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T18:52:23.384814Z","title":"Conformal symmetry in two-dimensions: An explicit recurrence formula for the conformal partial wave amplitude","venue":null,"work_id":null,"year":1984},"citing_paper":{"arxiv_id":"2509.09765","last_updated":"2026-06-29T10:03:25Z","snapshot_observed_at":"2026-08-08T19:01:48.550400Z","submitted_at":"2025-09-11T18:00:01Z","title":"Virasoro OPE and Conformal Blocks from the Inverse Shapovalov Form","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-04T18:52:23.384814Z"},"links":{"citing_paper":"/paper/2509.09765"},"observation_digest":"sha256:3f2e3963a52259c83b9b14adad9e090028e96c8db715336f7670f4f8e58b1f2b","observation_id":"09098a05-7ac9-442c-a71d-c136315fd75f","resolution":{"observed_at":"2026-08-04T18:52:23.384814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T18:52:23.388735Z","title":"Conformal symmetry in two-dimensional space: Recursion representation of conformal block","venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2509.09765","last_updated":"2026-06-29T10:03:25Z","snapshot_observed_at":"2026-08-08T19:01:48.550400Z","submitted_at":"2025-09-11T18:00:01Z","title":"Virasoro OPE and Conformal Blocks from the Inverse Shapovalov Form","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-04T18:52:23.388735Z"},"links":{"citing_paper":"/paper/2509.09765"},"observation_digest":"sha256:cc5da8173f554ecf46fd9f37cf9adf776956f7b38daf576c392587bac4e416a2","observation_id":"d1eebeb3-1455-4476-8f5d-8f7879259ac3","resolution":{"observed_at":"2026-08-04T18:52:23.388735Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1502.07742","last_updated":"2015-04-02T01:26:14Z","snapshot_observed_at":"2026-08-08T00:56:10.837227Z","submitted_at":"2015-02-26T20:59:24Z","title":"Virasoro conformal blocks in closed form","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1502.07742","snapshot_observed_at":"2026-08-04T18:52:23.392490Z","title":"Virasoro conformal blocks in closed form","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2509.09765","last_updated":"2026-06-29T10:03:25Z","snapshot_observed_at":"2026-08-08T19:01:48.550400Z","submitted_at":"2025-09-11T18:00:01Z","title":"Virasoro OPE and Conformal Blocks from the Inverse Shapovalov Form","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-04T18:52:23.392490Z"},"links":{"cited_paper":"/paper/1502.07742","citing_paper":"/paper/2509.09765"},"observation_digest":"sha256:c11215f815936d442f8eab49b2ddba59f50da9e42bf770a387e936859874a8c1","observation_id":"a598a137-a79b-4964-9ca6-e87c87146782","resolution":{"observed_at":"2026-08-04T18:52:23.392490Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1703.09805","last_updated":"2018-11-29T22:37:25Z","snapshot_observed_at":"2026-08-08T17:28:59.676988Z","submitted_at":"2017-03-28T21:11:59Z","title":"Recursive Representations of Arbitrary Virasoro Conformal Blocks","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1703.09805","snapshot_observed_at":"2026-08-04T18:52:23.396853Z","title":"Recursive Representations of Arbitrary Virasoro Conformal Blocks","venue":null,"work_id":null,"year":1904},"citing_paper":{"arxiv_id":"2509.09765","last_updated":"2026-06-29T10:03:25Z","snapshot_observed_at":"2026-08-08T19:01:48.550400Z","submitted_at":"2025-09-11T18:00:01Z","title":"Virasoro OPE and Conformal Blocks from the Inverse Shapovalov Form","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-04T18:52:23.396853Z"},"links":{"cited_paper":"/paper/1703.09805","citing_paper":"/paper/2509.09765"},"observation_digest":"sha256:82ffcef665e8b0e9edbddc4eb3b6d9855aac17ec8c108e546ba24a8eede020b5","observation_id":"337a05f4-f6f6-4bc7-bef7-2867ee136c11","resolution":{"observed_at":"2026-08-04T18:52:23.396853Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0906.3219","last_updated":"2010-02-09T15:57:35Z","snapshot_observed_at":"2026-07-06T01:54:44.463533Z","submitted_at":"2009-06-17T15:51:28Z","title":"Liouville Correlation Functions from Four-dimensional Gauge Theories","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0906.3219","snapshot_observed_at":"2026-08-04T18:52:23.400789Z","title":"Liouville Correlation Functions from Four-dimensional Gauge Theories","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2509.09765","last_updated":"2026-06-29T10:03:25Z","snapshot_observed_at":"2026-08-08T19:01:48.550400Z","submitted_at":"2025-09-11T18:00:01Z","title":"Virasoro OPE and Conformal Blocks from the Inverse Shapovalov Form","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-04T18:52:23.400789Z"},"links":{"cited_paper":"/paper/0906.3219","citing_paper":"/paper/2509.09765"},"observation_digest":"sha256:4ad11d7a8bc861fdb1d4989848378b8ec7861939765ef57618d17ee4ecaed6a6","observation_id":"70593913-be14-4d23-bed1-bf2d33cbc10c","resolution":{"observed_at":"2026-08-04T18:52:23.400789Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1012.1312","last_updated":"2011-05-10T21:12:15Z","snapshot_observed_at":"2026-07-06T02:20:16.815614Z","submitted_at":"2010-12-06T20:58:10Z","title":"On combinatorial expansion of the conformal blocks arising from AGT conjecture","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1012.1312","snapshot_observed_at":"2026-08-04T18:52:23.404666Z","title":"On combinatorial expansion of the conformal blocks arising from AGT conjecture","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2509.09765","last_updated":"2026-06-29T10:03:25Z","snapshot_observed_at":"2026-08-08T19:01:48.550400Z","submitted_at":"2025-09-11T18:00:01Z","title":"Virasoro OPE and Conformal Blocks from the Inverse Shapovalov Form","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-04T18:52:23.404666Z"},"links":{"cited_paper":"/paper/1012.1312","citing_paper":"/paper/2509.09765"},"observation_digest":"sha256:2e22f8bd97732cc6453689608b7433a2ac138446973194ee91c6f0132af24375","observation_id":"e661f0e1-0f9f-49cd-a45c-7ac2d49bcf52","resolution":{"observed_at":"2026-08-04T18:52:23.404666Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T18:52:23.408845Z","title":"Contravariant form for infinite-dimensional Lie algebras and superalgebras","venue":null,"work_id":null,"year":1979},"citing_paper":{"arxiv_id":"2509.09765","last_updated":"2026-06-29T10:03:25Z","snapshot_observed_at":"2026-08-08T19:01:48.550400Z","submitted_at":"2025-09-11T18:00:01Z","title":"Virasoro OPE and Conformal Blocks from the Inverse Shapovalov Form","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-04T18:52:23.408845Z"},"links":{"citing_paper":"/paper/2509.09765"},"observation_digest":"sha256:cd4c03685d842e40bf1c3c95689a0ab256b41ba55ed02d9fc6bace7bfc17aea1","observation_id":"2ad3ab6b-8216-4c40-b731-65f3feae5386","resolution":{"observed_at":"2026-08-04T18:52:23.408845Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0312279","last_updated":"2003-12-23T17:36:07Z","snapshot_observed_at":"2026-07-07T04:49:20.259241Z","submitted_at":"2003-12-23T17:36:07Z","title":"Higher Equations of Motion in Liouville Field Theory","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0312279","snapshot_observed_at":"2026-08-04T18:52:23.412856Z","title":"Higher equations of motion in Liouville field theory","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2509.09765","last_updated":"2026-06-29T10:03:25Z","snapshot_observed_at":"2026-08-08T19:01:48.550400Z","submitted_at":"2025-09-11T18:00:01Z","title":"Virasoro OPE and Conformal Blocks from the Inverse Shapovalov Form","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-04T18:52:23.412856Z"},"links":{"cited_paper":"/paper/hep-th/0312279","citing_paper":"/paper/2509.09765"},"observation_digest":"sha256:cdb942e13eb1efbf6ff376fac643f8bb5caa13470e5dd84a72a0c782f8622cb2","observation_id":"f6e38ed1-635e-43f7-81e4-7861381da045","resolution":{"observed_at":"2026-08-04T18:52:23.412856Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1010.0528","last_updated":"2011-06-27T03:40:05Z","snapshot_observed_at":"2026-07-06T02:16:12.653991Z","submitted_at":"2010-10-04T10:17:37Z","title":"Norms of logarithmic primaries of Virasoro algebra","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1010.0528","snapshot_observed_at":"2026-08-04T18:52:23.416985Z","title":"Norms of logarithmic primaries of Virasoro algebra","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2509.09765","last_updated":"2026-06-29T10:03:25Z","snapshot_observed_at":"2026-08-08T19:01:48.550400Z","submitted_at":"2025-09-11T18:00:01Z","title":"Virasoro OPE and Conformal Blocks from the Inverse Shapovalov Form","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-04T18:52:23.416985Z"},"links":{"cited_paper":"/paper/1010.0528","citing_paper":"/paper/2509.09765"},"observation_digest":"sha256:31df2dc65a90d4466a26027b22df253c6f04acc76964b256c6a26bb2cccac767","observation_id":"550d6f62-f8b9-4517-b9f9-34278f6c06f7","resolution":{"observed_at":"2026-08-04T18:52:23.416985Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T18:52:23.421555Z","title":"Degenerate Conformal Field Theories and Explicit Expression for Some Null Vectors","venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2509.09765","last_updated":"2026-06-29T10:03:25Z","snapshot_observed_at":"2026-08-08T19:01:48.550400Z","submitted_at":"2025-09-11T18:00:01Z","title":"Virasoro OPE and Conformal Blocks from the Inverse Shapovalov Form","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-04T18:52:23.421555Z"},"links":{"citing_paper":"/paper/2509.09765"},"observation_digest":"sha256:7094d08e964f08a06566bb4904ff9ea33cb6b07a65c082eb731dbb794f0142a2","observation_id":"88aa3be7-bf80-49d5-8178-022913212232","resolution":{"observed_at":"2026-08-04T18:52:23.421555Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T18:52:23.425544Z","title":"Covariant differential equations and singular vectors in Virasoro representations","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2509.09765","last_updated":"2026-06-29T10:03:25Z","snapshot_observed_at":"2026-08-08T19:01:48.550400Z","submitted_at":"2025-09-11T18:00:01Z","title":"Virasoro OPE and Conformal Blocks from the Inverse Shapovalov Form","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-04T18:52:23.425544Z"},"links":{"citing_paper":"/paper/2509.09765"},"observation_digest":"sha256:5085f761b4dda454a3522b51f0c1f1bfa77a50279449c356aeb1171ede089372","observation_id":"6d56f07c-7858-4ed6-bec3-47b22c6d7997","resolution":{"observed_at":"2026-08-04T18:52:23.425544Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T18:52:23.430394Z","title":"Virasoro singular vectors","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2509.09765","last_updated":"2026-06-29T10:03:25Z","snapshot_observed_at":"2026-08-08T19:01:48.550400Z","submitted_at":"2025-09-11T18:00:01Z","title":"Virasoro OPE and Conformal Blocks from the Inverse Shapovalov Form","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-04T18:52:23.430394Z"},"links":{"citing_paper":"/paper/2509.09765"},"observation_digest":"sha256:91199ef1327ebc2d409546eb2f0209775d0c05080fcc19f8b375b8d02b4b82f8","observation_id":"3061986c-af44-4f76-b2dc-4df2b51ce74a","resolution":{"observed_at":"2026-08-04T18:52:23.430394Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.07505","last_updated":"2024-12-12T16:28:34Z","snapshot_observed_at":"2026-07-06T20:04:39.240950Z","submitted_at":"2024-12-10T13:38:27Z","title":"Explicit expressions for Virasoro singular vectors","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.07505","snapshot_observed_at":"2026-08-04T18:52:23.434205Z","title":"Explicit expressions for Virasoro singular vectors","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.09765","last_updated":"2026-06-29T10:03:25Z","snapshot_observed_at":"2026-08-08T19:01:48.550400Z","submitted_at":"2025-09-11T18:00:01Z","title":"Virasoro OPE and Conformal Blocks from the Inverse Shapovalov Form","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-04T18:52:23.434205Z"},"links":{"cited_paper":"/paper/2412.07505","citing_paper":"/paper/2509.09765"},"observation_digest":"sha256:58cc6a6ef15b217247d748e90172eac71acdda02db04d201d9e83c00b4c18227","observation_id":"e601109d-a91a-4ada-8068-5c3f946be084","resolution":{"observed_at":"2026-08-04T18:52:23.434205Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T18:52:23.439087Z","title":"Properties of dual multiloop amplitudes","venue":null,"work_id":null,"year":1971},"citing_paper":{"arxiv_id":"2509.09765","last_updated":"2026-06-29T10:03:25Z","snapshot_observed_at":"2026-08-08T19:01:48.550400Z","submitted_at":"2025-09-11T18:00:01Z","title":"Virasoro OPE and Conformal Blocks from the Inverse Shapovalov Form","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-04T18:52:23.439087Z"},"links":{"citing_paper":"/paper/2509.09765"},"observation_digest":"sha256:bec8361de2d0c90fa456f583944fe9b88df475d2888a1fb421712fcdfe471375","observation_id":"102e4fef-583a-4e73-b89b-8045312545fa","resolution":{"observed_at":"2026-08-04T18:52:23.439087Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T18:52:23.443046Z","title":"Sewing Conformal Field Theories","venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2509.09765","last_updated":"2026-06-29T10:03:25Z","snapshot_observed_at":"2026-08-08T19:01:48.550400Z","submitted_at":"2025-09-11T18:00:01Z","title":"Virasoro OPE and Conformal Blocks from the Inverse Shapovalov Form","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-04T18:52:23.443046Z"},"links":{"citing_paper":"/paper/2509.09765"},"observation_digest":"sha256:f257bf76794d8f9025d51f9e22f7c96335148bafc2904d9b3a9d9d46ee813a26","observation_id":"ca4d3370-e5af-439e-9736-34cd6a18ba7c","resolution":{"observed_at":"2026-08-04T18:52:23.443046Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T18:52:23.446559Z","title":"Conformal Algebra and Multipoint Correlation Functions in Two-Dimensional Statistical Models","venue":null,"work_id":null,"year":1984},"citing_paper":{"arxiv_id":"2509.09765","last_updated":"2026-06-29T10:03:25Z","snapshot_observed_at":"2026-08-08T19:01:48.550400Z","submitted_at":"2025-09-11T18:00:01Z","title":"Virasoro OPE and Conformal Blocks from the Inverse Shapovalov Form","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-04T18:52:23.446559Z"},"links":{"citing_paper":"/paper/2509.09765"},"observation_digest":"sha256:59b464836eaa623bc19b2165ed5d27904cd2a9a3622b9a96738187d5960ddc46","observation_id":"834463ba-51a3-461e-a22d-3ff7a5efb3e8","resolution":{"observed_at":"2026-08-04T18:52:23.446559Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T18:52:23.450447Z","title":"Four Point Correlation Functions and the Operator Algebra in the Two-Dimensional Conformal Invariant Theories with the Central Charge c<1","venue":null,"work_id":null,"year":1985},"citing_paper":{"arxiv_id":"2509.09765","last_updated":"2026-06-29T10:03:25Z","snapshot_observed_at":"2026-08-08T19:01:48.550400Z","submitted_at":"2025-09-11T18:00:01Z","title":"Virasoro OPE and Conformal Blocks from the Inverse Shapovalov Form","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-04T18:52:23.450447Z"},"links":{"citing_paper":"/paper/2509.09765"},"observation_digest":"sha256:1436478444ed653ba3de57526dd4516e311d23ce2d01dc40b133a13057f32223","observation_id":"d256b67c-8b76-4327-9b17-364d2c6e9036","resolution":{"observed_at":"2026-08-04T18:52:23.450447Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.04387","last_updated":"2024-12-20T18:15:52Z","snapshot_observed_at":"2026-08-06T07:19:30.977388Z","submitted_at":"2024-12-05T18:03:25Z","title":"On the $1/c$ expansion in $2d$ CFTs with degenerate operators","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.04387","snapshot_observed_at":"2026-08-04T18:52:23.453986Z","title":"On the 1/c expansion in 2d CFTs with degenerate operators","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.09765","last_updated":"2026-06-29T10:03:25Z","snapshot_observed_at":"2026-08-08T19:01:48.550400Z","submitted_at":"2025-09-11T18:00:01Z","title":"Virasoro OPE and Conformal Blocks from the Inverse Shapovalov Form","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-04T18:52:23.453986Z"},"links":{"cited_paper":"/paper/2412.04387","citing_paper":"/paper/2509.09765"},"observation_digest":"sha256:261daf3d65f5d61acd9824336ece5c3770e43f87440b223a6b884e75890c5049","observation_id":"2c0c6da0-e0db-4638-87d9-2fde4b0d4155","resolution":{"observed_at":"2026-08-04T18:52:23.453986Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9506136","last_updated":"1995-06-25T05:37:56Z","snapshot_observed_at":"2026-08-06T01:16:48.444325Z","submitted_at":"1995-06-20T20:52:07Z","title":"Structure Constants and Conformal Bootstrap in Liouville Field Theory","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9506136","snapshot_observed_at":"2026-08-04T18:52:23.457811Z","title":"Structure constants and conformal bootstrap in Liouville field theory","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2509.09765","last_updated":"2026-06-29T10:03:25Z","snapshot_observed_at":"2026-08-08T19:01:48.550400Z","submitted_at":"2025-09-11T18:00:01Z","title":"Virasoro OPE and Conformal Blocks from the Inverse Shapovalov Form","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-04T18:52:23.457811Z"},"links":{"cited_paper":"/paper/hep-th/9506136","citing_paper":"/paper/2509.09765"},"observation_digest":"sha256:65a3472fef29df7952b054ed8926baad1203cb9278d5a2ea705714024ac5eb4d","observation_id":"50af4a79-ce6c-4c1a-9595-dd056501f978","resolution":{"observed_at":"2026-08-04T18:52:23.457811Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1309.4700","last_updated":"2013-10-13T19:36:26Z","snapshot_observed_at":"2026-07-06T03:23:23.216921Z","submitted_at":"2013-09-18T16:41:21Z","title":"Classical Conformal Blocks and Painleve VI","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1309.4700","snapshot_observed_at":"2026-08-04T18:52:23.461947Z","title":"Classical Conformal Blocks and Painleve VI","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2509.09765","last_updated":"2026-06-29T10:03:25Z","snapshot_observed_at":"2026-08-08T19:01:48.550400Z","submitted_at":"2025-09-11T18:00:01Z","title":"Virasoro OPE and Conformal Blocks from the Inverse Shapovalov Form","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-04T18:52:23.461947Z"},"links":{"cited_paper":"/paper/1309.4700","citing_paper":"/paper/2509.09765"},"observation_digest":"sha256:c02e9b28f18e0492783561c8fcb32a398af3125bdc3f1a26218ee30a94cc682b","observation_id":"22d51d38-e9bd-4e36-a8c3-88a39546329f","resolution":{"observed_at":"2026-08-04T18:52:23.461947Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1403.6829","last_updated":"2014-07-10T12:42:17Z","snapshot_observed_at":"2026-08-01T19:59:34.919012Z","submitted_at":"2014-03-26T20:00:01Z","title":"Universality of Long-Distance AdS Physics from the CFT Bootstrap","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1403.6829","snapshot_observed_at":"2026-08-04T18:52:23.465823Z","title":"Universality of Long-Distance AdS Physics from the CFT Bootstrap","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2509.09765","last_updated":"2026-06-29T10:03:25Z","snapshot_observed_at":"2026-08-08T19:01:48.550400Z","submitted_at":"2025-09-11T18:00:01Z","title":"Virasoro OPE and Conformal Blocks from the Inverse Shapovalov Form","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-04T18:52:23.465823Z"},"links":{"cited_paper":"/paper/1403.6829","citing_paper":"/paper/2509.09765"},"observation_digest":"sha256:324b48b60a358c962ec4be80a4869f5e325563e9ffa0f6df14543c64d2ce5094","observation_id":"0b246677-e5ce-48aa-8963-9547913b49bb","resolution":{"observed_at":"2026-08-04T18:52:23.465823Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1511.05452","last_updated":"2015-11-23T10:37:15Z","snapshot_observed_at":"2026-07-06T04:36:48.493556Z","submitted_at":"2015-11-17T16:10:15Z","title":"Virasoro vacuum block at next-to-leading order in the heavy-light limit","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1511.05452","snapshot_observed_at":"2026-08-04T18:52:23.469755Z","title":"Virasoro vacuum block at next-to-leading order in the heavy-light limit","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2509.09765","last_updated":"2026-06-29T10:03:25Z","snapshot_observed_at":"2026-08-08T19:01:48.550400Z","submitted_at":"2025-09-11T18:00:01Z","title":"Virasoro OPE and Conformal Blocks from the Inverse Shapovalov Form","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-04T18:52:23.469755Z"},"links":{"cited_paper":"/paper/1511.05452","citing_paper":"/paper/2509.09765"},"observation_digest":"sha256:76ef1ddecd80d5e652cb6020e01cae8d8a6615743df594bd8edaaef3f1147d19","observation_id":"d7afa5e9-a72d-4302-b235-6f10c3d7f7a9","resolution":{"observed_at":"2026-08-04T18:52:23.469755Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1606.02659","last_updated":"2016-06-08T17:50:56Z","snapshot_observed_at":"2026-08-04T04:51:36.773333Z","submitted_at":"2016-06-08T17:50:56Z","title":"Degenerate Operators and the $1/c$ Expansion: Lorentzian Resummations, High Order Computations, and Super-Virasoro Blocks","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1606.02659","snapshot_observed_at":"2026-08-04T18:52:23.473734Z","title":"Degenerate Operators and the1/c Expansion: Lorentzian Resummations, High Order Computations, and Super-Virasoro Blocks","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2509.09765","last_updated":"2026-06-29T10:03:25Z","snapshot_observed_at":"2026-08-08T19:01:48.550400Z","submitted_at":"2025-09-11T18:00:01Z","title":"Virasoro OPE and Conformal Blocks from the Inverse Shapovalov Form","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-04T18:52:23.473734Z"},"links":{"cited_paper":"/paper/1606.02659","citing_paper":"/paper/2509.09765"},"observation_digest":"sha256:b88bd76c71dd22506acd5c8f7c9cecdaf98518bcec832b447362b34c10280825","observation_id":"92cc17d9-0502-4315-a219-379cac8cb752","resolution":{"observed_at":"2026-08-04T18:52:23.473734Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1609.02165","last_updated":"2017-07-06T13:27:08Z","snapshot_observed_at":"2026-07-06T05:10:00.101522Z","submitted_at":"2016-09-07T20:02:15Z","title":"A conformal block Farey tail","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1609.02165","snapshot_observed_at":"2026-08-04T18:52:23.477697Z","title":"A conformal block Farey tail","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2509.09765","last_updated":"2026-06-29T10:03:25Z","snapshot_observed_at":"2026-08-08T19:01:48.550400Z","submitted_at":"2025-09-11T18:00:01Z","title":"Virasoro OPE and Conformal Blocks from the Inverse Shapovalov Form","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-04T18:52:23.477697Z"},"links":{"cited_paper":"/paper/1609.02165","citing_paper":"/paper/2509.09765"},"observation_digest":"sha256:93ec109431fb7d3503db46057122995adcbf14cccdafcd1502783ef33c1f67e3","observation_id":"20dbd227-db19-4db5-a481-4ec99b4092ce","resolution":{"observed_at":"2026-08-04T18:52:23.477697Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1806.04352","last_updated":"2019-05-05T02:16:16Z","snapshot_observed_at":"2026-08-06T09:21:50.514378Z","submitted_at":"2018-06-12T06:25:22Z","title":"Large $c$ Virasoro Blocks from Monodromy Method beyond Known Limits","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1806.04352","snapshot_observed_at":"2026-08-04T18:52:23.481761Z","title":"LargecVirasoro Blocks from Monodromy Method beyond Known Limits","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2509.09765","last_updated":"2026-06-29T10:03:25Z","snapshot_observed_at":"2026-08-08T19:01:48.550400Z","submitted_at":"2025-09-11T18:00:01Z","title":"Virasoro OPE and Conformal Blocks from the Inverse Shapovalov Form","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-04T18:52:23.481761Z"},"links":{"cited_paper":"/paper/1806.04352","citing_paper":"/paper/2509.09765"},"observation_digest":"sha256:e86c952b5e35552321937b13908885e8a4348a6667e822fef53f683450341d3c","observation_id":"c1d23a9d-3282-4f19-a3eb-5fa33dd70e0b","resolution":{"observed_at":"2026-08-04T18:52:23.481761Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1905.03195","last_updated":"2019-08-06T11:10:14Z","snapshot_observed_at":"2026-07-06T07:51:14.980592Z","submitted_at":"2019-05-08T16:26:35Z","title":"Four-point conformal blocks with three heavy background operators","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1905.03195","snapshot_observed_at":"2026-08-04T18:52:23.485931Z","title":"Four-point conformal blocks with three heavy background operators","venue":null,"work_id":null,"year":1908},"citing_paper":{"arxiv_id":"2509.09765","last_updated":"2026-06-29T10:03:25Z","snapshot_observed_at":"2026-08-08T19:01:48.550400Z","submitted_at":"2025-09-11T18:00:01Z","title":"Virasoro OPE and Conformal Blocks from the Inverse Shapovalov Form","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-04T18:52:23.485931Z"},"links":{"cited_paper":"/paper/1905.03195","citing_paper":"/paper/2509.09765"},"observation_digest":"sha256:afb0733e6f3e1b90a0270e33c38c0c07e9740b44aa65d29843b1ecc376d4bc97","observation_id":"e033f164-affe-4562-b4f9-a988b41aeff7","resolution":{"observed_at":"2026-08-04T18:52:23.485931Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2407.12986","last_updated":"2024-08-12T16:07:04Z","snapshot_observed_at":"2026-07-06T18:48:08.251086Z","submitted_at":"2024-07-17T20:06:54Z","title":"A note on the large-$c$ conformal block asymptotics and $\\alpha$-heavy operators","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.12986","snapshot_observed_at":"2026-08-04T18:52:23.490044Z","title":"A note on the large-c conformal block asymptotics andα-heavy operators","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.09765","last_updated":"2026-06-29T10:03:25Z","snapshot_observed_at":"2026-08-08T19:01:48.550400Z","submitted_at":"2025-09-11T18:00:01Z","title":"Virasoro OPE and Conformal Blocks from the Inverse Shapovalov Form","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-04T18:52:23.490044Z"},"links":{"cited_paper":"/paper/2407.12986","citing_paper":"/paper/2509.09765"},"observation_digest":"sha256:a91f8d63d46abb395468eb9cfc280cdbea6908a8071e96139b74ac84d188833e","observation_id":"c3f9e214-f9d1-4794-bf94-2046e4c19722","resolution":{"observed_at":"2026-08-04T18:52:23.490044Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1503.02067","last_updated":"2018-12-12T09:15:33Z","snapshot_observed_at":"2026-07-06T04:11:15.487869Z","submitted_at":"2015-03-06T20:57:01Z","title":"Liouville theory with a central charge less than one","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1503.02067","snapshot_observed_at":"2026-08-04T18:52:23.494104Z","title":"Liouville theory with a central charge less than one","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2509.09765","last_updated":"2026-06-29T10:03:25Z","snapshot_observed_at":"2026-08-08T19:01:48.550400Z","submitted_at":"2025-09-11T18:00:01Z","title":"Virasoro OPE and Conformal Blocks from the Inverse Shapovalov Form","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-04T18:52:23.494104Z"},"links":{"cited_paper":"/paper/1503.02067","citing_paper":"/paper/2509.09765"},"observation_digest":"sha256:3315414b7c785e7adefe63d71dba09e829e7ed699cd05d4e77057ad7ccbd1139","observation_id":"809804b1-9dcb-4cf3-8607-54b487141a53","resolution":{"observed_at":"2026-08-04T18:52:23.494104Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T18:52:23.498031Z","title":"Two-dimensional conformal symmetry and critical four-spin correlation functions in the Ashkin-Teller model","venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"2509.09765","last_updated":"2026-06-29T10:03:25Z","snapshot_observed_at":"2026-08-08T19:01:48.550400Z","submitted_at":"2025-09-11T18:00:01Z","title":"Virasoro OPE and Conformal Blocks from the Inverse Shapovalov Form","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-04T18:52:23.498031Z"},"links":{"citing_paper":"/paper/2509.09765"},"observation_digest":"sha256:9aeec30ba29536fc4244040ee33c4335095ceac8899a60c730dc468ebcbe8a73","observation_id":"c82ce470-e05b-479c-bef0-3309244e69fc","resolution":{"observed_at":"2026-08-04T18:52:23.498031Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1910.04169","last_updated":"2019-10-09T18:00:02Z","snapshot_observed_at":"2026-08-08T07:02:14.239117Z","submitted_at":"2019-10-09T18:00:02Z","title":"Semi-classical Virasoro blocks: proof of exponentiation","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1910.04169","snapshot_observed_at":"2026-08-04T18:52:23.501856Z","title":"Semi-classical Virasoro blocks: proof of exponentiation","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2509.09765","last_updated":"2026-06-29T10:03:25Z","snapshot_observed_at":"2026-08-08T19:01:48.550400Z","submitted_at":"2025-09-11T18:00:01Z","title":"Virasoro OPE and Conformal Blocks from the Inverse Shapovalov Form","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-04T18:52:23.501856Z"},"links":{"cited_paper":"/paper/1910.04169","citing_paper":"/paper/2509.09765"},"observation_digest":"sha256:18352b532ae9abfbf2ff853d39fa1bfcabf3cc87bf53a310a08b472b85ee8f87","observation_id":"a3c9b677-8919-4201-9409-467b719bd73e","resolution":{"observed_at":"2026-08-04T18:52:23.501856Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1510.00014","last_updated":"2015-09-30T20:11:09Z","snapshot_observed_at":"2026-08-03T09:04:08.638202Z","submitted_at":"2015-09-30T20:11:09Z","title":"Hawking from Catalan","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1510.00014","snapshot_observed_at":"2026-08-04T18:52:23.505833Z","title":"Hawking from Catalan","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2509.09765","last_updated":"2026-06-29T10:03:25Z","snapshot_observed_at":"2026-08-08T19:01:48.550400Z","submitted_at":"2025-09-11T18:00:01Z","title":"Virasoro OPE and Conformal Blocks from the Inverse Shapovalov Form","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-04T18:52:23.505833Z"},"links":{"cited_paper":"/paper/1510.00014","citing_paper":"/paper/2509.09765"},"observation_digest":"sha256:1e0b242ecfd1369388c7a5f7f52b2bf0a750947d9d5981ee7d4e800129d75872","observation_id":"82e3b0cd-b26e-4d29-ad1d-24346f7f4d6b","resolution":{"observed_at":"2026-08-04T18:52:23.505833Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1712.01842","last_updated":"2018-11-27T18:44:53Z","snapshot_observed_at":"2026-07-06T06:12:55.877365Z","submitted_at":"2017-12-05T19:00:01Z","title":"Modular crossings, OPE coefficients and black holes","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1712.01842","snapshot_observed_at":"2026-08-04T18:52:23.509714Z","title":"Universal asymptotics of three-point coefficients from elliptic representation of Virasoro blocks","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2509.09765","last_updated":"2026-06-29T10:03:25Z","snapshot_observed_at":"2026-08-08T19:01:48.550400Z","submitted_at":"2025-09-11T18:00:01Z","title":"Virasoro OPE and Conformal Blocks from the Inverse Shapovalov Form","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-04T18:52:23.509714Z"},"links":{"cited_paper":"/paper/1712.01842","citing_paper":"/paper/2509.09765"},"observation_digest":"sha256:39f27f8800459864c3d8e2cdd6b55c1f691cac4eb514972c594abf2384d5bf1d","observation_id":"d923d57d-a5bf-441d-831a-fb28ce99f516","resolution":{"observed_at":"2026-08-04T18:52:23.509714Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2409.18172","last_updated":"2025-04-11T13:07:56Z","snapshot_observed_at":"2026-08-06T10:12:01.629014Z","submitted_at":"2024-09-26T18:00:00Z","title":"Casimirs of the Virasoro Algebra","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.18172","snapshot_observed_at":"2026-08-04T18:52:23.513585Z","title":"Casimirs of the Virasoro algebra","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.09765","last_updated":"2026-06-29T10:03:25Z","snapshot_observed_at":"2026-08-08T19:01:48.550400Z","submitted_at":"2025-09-11T18:00:01Z","title":"Virasoro OPE and Conformal Blocks from the Inverse Shapovalov Form","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-04T18:52:23.513585Z"},"links":{"cited_paper":"/paper/2409.18172","citing_paper":"/paper/2509.09765"},"observation_digest":"sha256:2dc7f2f80c8a04a16ec6ade5be49da40db28c8ded581dcc39b46f3e3dba5e8a5","observation_id":"5008f1b7-dfb2-4e7e-b7e2-c25d59671fef","resolution":{"observed_at":"2026-08-04T18:52:23.513585Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T18:52:23.518540Z","title":"The theory of the double gamma function","venue":null,"work_id":null,"year":1901},"citing_paper":{"arxiv_id":"2509.09765","last_updated":"2026-06-29T10:03:25Z","snapshot_observed_at":"2026-08-08T19:01:48.550400Z","submitted_at":"2025-09-11T18:00:01Z","title":"Virasoro OPE and Conformal Blocks from the Inverse Shapovalov Form","version":2},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-04T18:52:23.518540Z"},"links":{"citing_paper":"/paper/2509.09765"},"observation_digest":"sha256:80234f087a152bb0c0ff6aa1a90272934c67bd1f177e973f212a24a1de147066","observation_id":"6698ea3b-c74a-4fd4-a789-ffd1326c88b6","resolution":{"observed_at":"2026-08-04T18:52:23.518540Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2309.11540","last_updated":"2023-09-20T18:00:01Z","snapshot_observed_at":"2026-08-08T09:38:39.076514Z","submitted_at":"2023-09-20T18:00:01Z","title":"Notes on crossing transformations of Virasoro conformal blocks","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2309.11540","snapshot_observed_at":"2026-08-04T18:52:23.522577Z","title":"Notes on crossing transformations of Virasoro conformal blocks","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.09765","last_updated":"2026-06-29T10:03:25Z","snapshot_observed_at":"2026-08-08T19:01:48.550400Z","submitted_at":"2025-09-11T18:00:01Z","title":"Virasoro OPE and Conformal Blocks from the Inverse Shapovalov Form","version":2},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-04T18:52:23.522577Z"},"links":{"cited_paper":"/paper/2309.11540","citing_paper":"/paper/2509.09765"},"observation_digest":"sha256:e20ef60812bb9e173a72746a785c77e8d066eac85c0f908fa48d8bfab47d0ae2","observation_id":"ae3164af-4969-4982-a9d1-25bfb36176fb","resolution":{"observed_at":"2026-08-04T18:52:23.522577Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2509.09765","last_updated":"2026-06-29T10:03:25Z","latest_version":2,"primary_category":"hep-th","snapshot_observed_at":"2026-08-08T19:01:48.550400Z","submitted_at":"2025-09-11T18:00:01Z","title":"Virasoro OPE and Conformal Blocks from the Inverse Shapovalov Form"},"reference_resolution":{"displayed":49,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":49,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":49},"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":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 0 inbound Pith citation observations for arXiv:2509.09765."}