{"as_of":"2026-08-08T22:37:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:5000b1ec65a704f2ee8af9112e975735e40107e37b2b69afad9ab67ee254eb6d","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":4,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":4,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":4,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T19:26:21.662294Z","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":"2026-07-04T12:39:49.921307Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2209.10443","last_updated":"2026-06-20T12:09:41Z","snapshot_observed_at":"2026-08-03T17:30:27.428635Z","submitted_at":"2022-09-21T15:37:13Z","title":"Vertex operator algebra and parenthesized braid operad","version":3},"cited_work":{"arxiv_id":"2209.10443","doi":null,"metadata_source":"pith","pith_arxiv_id":"2209.10443","snapshot_observed_at":"2026-07-04T12:39:49.921307Z","title":"Lerche, C","venue":"math.QA","work_id":"f39f14fa-c976-4a52-8173-82a9b29dc7b6","year":2022},"citing_paper":{"arxiv_id":"2504.09919","last_updated":"2026-04-27T13:41:06Z","snapshot_observed_at":"2026-07-06T21:08:52.393525Z","submitted_at":"2025-04-14T06:27:03Z","title":"Cohomology ring of unitary $N=(2,2)$ full vertex algebra and mirror symmetry","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-05-22T21:11:00.209294Z"},"links":{"cited_paper":"/paper/2209.10443","citing_paper":"/paper/2504.09919"},"observation_digest":"sha256:1c30b66ce2ec3532d5e46b17fe4a966072dcf495f36da57353ae1d3ebd60f1f9","observation_id":"2d74720a-9e65-4ce4-ae4a-325f2c81fe48","resolution":{"observed_at":"2026-06-23T03:12:30.177147Z","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":"2209.10443","last_updated":"2026-06-20T12:09:41Z","snapshot_observed_at":"2026-08-03T17:30:27.428635Z","submitted_at":"2022-09-21T15:37:13Z","title":"Vertex operator algebra and parenthesized braid operad","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2209.10443","snapshot_observed_at":"2026-08-06T19:26:21.662294Z","title":"Moriwaki","venue":null,"work_id":null,"year":2024},"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":59,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:21.662294Z"},"links":{"cited_paper":"/paper/2209.10443","citing_paper":"/paper/2507.05845"},"observation_digest":"sha256:1fa240b87c03f0f1a667a73f98c5c9900569335e6d7cf38224eb70dc414a9bd5","observation_id":"a532c12d-3dde-449a-aee5-cd1a430c3c7b","resolution":{"observed_at":"2026-08-06T19:26:21.662294Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2209.10443","last_updated":"2026-06-20T12:09:41Z","snapshot_observed_at":"2026-08-03T17:30:27.428635Z","submitted_at":"2022-09-21T15:37:13Z","title":"Vertex operator algebra and parenthesized braid operad","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2209.10443","snapshot_observed_at":"2026-08-06T00:02:37.075278Z","title":"Vertex operator algebra and parenthesized braid operad","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2508.04532","last_updated":"2025-08-06T15:13:48Z","snapshot_observed_at":"2026-08-07T15:28:00.538659Z","submitted_at":"2025-08-06T15:13:48Z","title":"How are pseudo-$q$-traces related to (co)ends?","version":1},"reference_index":2010,"source":"pdf_text","source_observed_at":"2026-08-06T00:02:37.075278Z"},"links":{"cited_paper":"/paper/2209.10443","citing_paper":"/paper/2508.04532"},"observation_digest":"sha256:0864de9f2e797f5f1f5d6189f96863668bb1650495f5f032635ef967ceed9b34","observation_id":"875978d2-ff79-4bbb-bb7f-e056b14d00ec","resolution":{"observed_at":"2026-08-06T00:02:37.075278Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2209.10443","last_updated":"2026-06-20T12:09:41Z","snapshot_observed_at":"2026-08-03T17:30:27.428635Z","submitted_at":"2022-09-21T15:37:13Z","title":"Vertex operator algebra and parenthesized braid operad","version":3},"cited_work":{"arxiv_id":"2209.10443","doi":null,"metadata_source":"pith","pith_arxiv_id":"2209.10443","snapshot_observed_at":"2026-07-04T12:39:49.921307Z","title":"Lerche, C","venue":"math.QA","work_id":"f39f14fa-c976-4a52-8173-82a9b29dc7b6","year":2022},"citing_paper":{"arxiv_id":"2606.23076","last_updated":"2026-06-22T09:25:35Z","snapshot_observed_at":"2026-08-04T19:15:04.071443Z","submitted_at":"2026-06-22T09:25:35Z","title":"Conformal blocks, parenthesized braid operad, and $c=1/2$ Virasoro vertex operator algebra","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-06-26T06:15:43.852562Z"},"links":{"cited_paper":"/paper/2209.10443","citing_paper":"/paper/2606.23076"},"observation_digest":"sha256:3f077014d69bf5858af7b56bb6f4b22e4f8e4adc171498799b8b0d202309c33f","observation_id":"61054744-7d55-4377-a0b3-8aabcec64973","resolution":{"observed_at":"2026-07-04T12:39:49.922680Z","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/2209.10443/citation-record","integrity":"/paper/2209.10443/integrity","json":"/paper/2209.10443/citation-record.json","paper":"/paper/2209.10443"},"outbound":[],"paper":{"arxiv_id":"2209.10443","last_updated":"2026-06-20T12:09:41Z","latest_version":3,"primary_category":"math.QA","snapshot_observed_at":"2026-08-03T17:30:27.428635Z","submitted_at":"2022-09-21T15:37:13Z","title":"Vertex operator algebra and parenthesized braid operad"},"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 4 inbound Pith citation observations for arXiv:2209.10443."}