{"as_of":"2026-08-08T12:25:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:24b0d4f49c57488094ec78c48d65097cb831d94c1fc79f448457cf1fa1cb803c","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":3,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":3,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-01T01:00:10.413057Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-01T13:15:45.180478Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2112.14859","last_updated":"2025-05-25T22:47:29Z","snapshot_observed_at":"2026-07-06T12:23:25.526038Z","submitted_at":"2021-12-29T23:11:37Z","title":"Segal's axioms and bootstrap for Liouville Theory","version":2},"cited_work":{"arxiv_id":"2112.14859","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2112.14859","snapshot_observed_at":"2026-07-01T13:15:45.180478Z","title":"Segal's axioms and bootstrap for L iouville T heory","venue":null,"work_id":"a60fe75e-bcf8-4a2b-a8b3-5a745172d8bd","year":2013},"citing_paper":{"arxiv_id":"2605.20175","last_updated":"2026-05-19T17:58:23Z","snapshot_observed_at":"2026-07-06T23:30:49.211483Z","submitted_at":"2026-05-19T17:58:23Z","title":"Complex deformations of the circle: Group cohomology and Virasoro uniformization","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-05-20T03:10:53.319534Z"},"links":{"cited_paper":"/paper/2112.14859","citing_paper":"/paper/2605.20175"},"observation_digest":"sha256:fa7efb0e2a5313adf785186c0d96317ea3cfae82d7f2def1724327a714eb1fc1","observation_id":"ce55c0ff-bb20-44ed-ab88-240a11d412cc","resolution":{"observed_at":"2026-05-20T03:13:00.560406Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2112.14859","last_updated":"2025-05-25T22:47:29Z","snapshot_observed_at":"2026-07-06T12:23:25.526038Z","submitted_at":"2021-12-29T23:11:37Z","title":"Segal's axioms and bootstrap for Liouville Theory","version":2},"cited_work":{"arxiv_id":"2112.14859","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2112.14859","snapshot_observed_at":"2026-07-01T13:15:45.180478Z","title":"Segal's axioms and bootstrap for L iouville T heory","venue":null,"work_id":"a60fe75e-bcf8-4a2b-a8b3-5a745172d8bd","year":2013},"citing_paper":{"arxiv_id":"2605.25494","last_updated":"2026-05-25T06:55:37Z","snapshot_observed_at":"2026-08-07T04:35:49.289100Z","submitted_at":"2026-05-25T06:55:37Z","title":"Compactified imaginary Toda theory","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-06-29T19:59:11.959960Z"},"links":{"cited_paper":"/paper/2112.14859","citing_paper":"/paper/2605.25494"},"observation_digest":"sha256:57338d19d894af699f169668f13afd70a10e9beaf3516ac3c72b373602e8ab51","observation_id":"56adad3c-9e83-4efb-b283-54d706cf5471","resolution":{"observed_at":"2026-06-29T20:03:56.265845Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2112.14859","last_updated":"2025-05-25T22:47:29Z","snapshot_observed_at":"2026-07-06T12:23:25.526038Z","submitted_at":"2021-12-29T23:11:37Z","title":"Segal's axioms and bootstrap for Liouville Theory","version":2},"cited_work":{"arxiv_id":"2112.14859","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2112.14859","snapshot_observed_at":"2026-07-01T13:15:45.180478Z","title":"Segal's axioms and bootstrap for L iouville T heory","venue":null,"work_id":"a60fe75e-bcf8-4a2b-a8b3-5a745172d8bd","year":2013},"citing_paper":{"arxiv_id":"2606.30928","last_updated":"2026-06-29T21:22:19Z","snapshot_observed_at":"2026-08-02T18:55:31.832574Z","submitted_at":"2026-06-29T21:22:19Z","title":"Minkowskian open/closed conformal field theory possibly without vacuum: the Cardy case","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-07-01T01:00:10.413057Z"},"links":{"cited_paper":"/paper/2112.14859","citing_paper":"/paper/2606.30928"},"observation_digest":"sha256:7dcd92017003aac37fabb28fa68d8084b0ef9dc4c9d4cd772cb9d87b40068e12","observation_id":"5c1d3cc5-1724-466f-a258-7e88bc7bff4f","resolution":{"observed_at":"2026-07-01T13:15:45.182627Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2112.14859/citation-record","integrity":"/paper/2112.14859/integrity","json":"/paper/2112.14859/citation-record.json","paper":"/paper/2112.14859"},"outbound":[],"paper":{"arxiv_id":"2112.14859","last_updated":"2025-05-25T22:47:29Z","latest_version":2,"primary_category":"math.PR","snapshot_observed_at":"2026-07-06T12:23:25.526038Z","submitted_at":"2021-12-29T23:11:37Z","title":"Segal's axioms and bootstrap for Liouville Theory"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2112.14859."}