{"as_of":"2026-08-22T06:03:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:1bc4ebc90b407474accd633c66f5bc8788aa4c1b6583c24f21877f73e9b5876c","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":2,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":2,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-21T06:32:19.484+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-29T09:21:38.994768Z","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":"2026-06-29T09:23:16.014905Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2408.10728","last_updated":"2024-08-20T10:56:04Z","snapshot_observed_at":"2026-08-16T13:25:15.771401Z","submitted_at":"2024-08-20T10:56:04Z","title":"Recursive algorithm and log-concavity of representations on the cohomology of $\\overline{\\mathcal M}_{0,n}$","version":1},"cited_work":{"arxiv_id":"2408.10728","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2408.10728","snapshot_observed_at":"2026-06-29T09:23:16.014905Z","title":"Choi, Y.-H","venue":null,"work_id":"3da18538-9410-4080-b546-104473241796","year":2024},"citing_paper":{"arxiv_id":"2601.08369","last_updated":"2026-05-02T06:31:46Z","snapshot_observed_at":"2026-08-15T05:11:27.797114Z","submitted_at":"2026-01-13T09:32:05Z","title":"Asymptotic distribution of the Betti numbers of $\\overline{\\mathcal{M}}_{0,n}$","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-16T15:08:53.443003Z"},"links":{"cited_paper":"/paper/2408.10728","citing_paper":"/paper/2601.08369"},"observation_digest":"sha256:0e8a3739931952eafc2fed8a5aa8753adbb9a594da160f3cf92205eef42756dc","observation_id":"f760358c-5b26-40f5-8798-7bfad3776f15","resolution":{"observed_at":"2026-05-16T15:11:03.252764Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2408.10728","last_updated":"2024-08-20T10:56:04Z","snapshot_observed_at":"2026-08-16T13:25:15.771401Z","submitted_at":"2024-08-20T10:56:04Z","title":"Recursive algorithm and log-concavity of representations on the cohomology of $\\overline{\\mathcal M}_{0,n}$","version":1},"cited_work":{"arxiv_id":"2408.10728","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2408.10728","snapshot_observed_at":"2026-06-29T09:23:16.014905Z","title":"Choi, Y.-H","venue":null,"work_id":"3da18538-9410-4080-b546-104473241796","year":2024},"citing_paper":{"arxiv_id":"2605.29151","last_updated":"2026-06-11T14:48:54Z","snapshot_observed_at":"2026-08-04T06:07:28.573218Z","submitted_at":"2026-05-27T22:26:05Z","title":"Real-rootedness of the Poincar\\'e polynomials of $\\overline{\\mathcal M}_{0,n}$: an AI-assisted proof","version":2},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-06-29T09:21:38.994768Z"},"links":{"cited_paper":"/paper/2408.10728","citing_paper":"/paper/2605.29151"},"observation_digest":"sha256:32128a9f3e21d4a53fe9fbd72aa0a02117c9b1a89043e01250da1f5ff4fec42b","observation_id":"85a904c5-b261-4d58-8187-bfd1258fe926","resolution":{"observed_at":"2026-06-29T09:23:16.016792Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2408.10728/citation-record","integrity":"/paper/2408.10728/integrity","json":"/paper/2408.10728/citation-record.json","paper":"/paper/2408.10728"},"outbound":[],"paper":{"arxiv_id":"2408.10728","last_updated":"2024-08-20T10:56:04Z","latest_version":1,"primary_category":"math.AG","snapshot_observed_at":"2026-08-16T13:25:15.771401Z","submitted_at":"2024-08-20T10:56:04Z","title":"Recursive algorithm and log-concavity of representations on the cohomology of $\\overline{\\mathcal M}_{0,n}$"},"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":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"thesis":"As of 22 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2408.10728."}