{"as_of":"2026-08-13T16:10:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:88bcfc222cae3dd8739d33798d200111c0ee7a8e832ac405418db6b12ce204d4","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":"2026-08-13T06:32:02.005865+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":"2026-08-12T12:59:00.325836Z","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":"2026-05-22T17:05:00.522172Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2410.09950","last_updated":"2024-10-13T18:17:29Z","snapshot_observed_at":"2026-08-12T22:24:20.715833Z","submitted_at":"2024-10-13T18:17:29Z","title":"On the propagation of singularities of constant curvature, convex hypersurfaces","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.09950","snapshot_observed_at":"2026-08-12T12:59:00.325836Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2411.17133","last_updated":"2024-11-27T04:28:55Z","snapshot_observed_at":"2026-08-12T12:26:39.003829Z","submitted_at":"2024-11-26T05:55:00Z","title":"Removing singularities for fully nonlinear PDEs","version":2},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-12T12:59:00.325836Z"},"links":{"cited_paper":"/paper/2410.09950","citing_paper":"/paper/2411.17133"},"observation_digest":"sha256:10735dcf695473534b08cd7ab92d2810767df791c9d130bb314cb0a9cffe7fbf","observation_id":"7da749fe-2e72-4d4d-98d8-31b5cf00c71b","resolution":{"observed_at":"2026-08-12T12:59:00.325836Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.09950","last_updated":"2024-10-13T18:17:29Z","snapshot_observed_at":"2026-08-12T22:24:20.715833Z","submitted_at":"2024-10-13T18:17:29Z","title":"On the propagation of singularities of constant curvature, convex hypersurfaces","version":1},"cited_work":{"arxiv_id":"2410.09950","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2410.09950","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"https://arxiv.org/abs/2410.09950","venue":null,"work_id":"66500b50-6e45-4123-9fe4-fcf5753d2fba","year":null},"citing_paper":{"arxiv_id":"2505.00760","last_updated":"2026-04-25T10:22:29Z","snapshot_observed_at":"2026-07-06T21:17:42.853055Z","submitted_at":"2025-05-01T17:57:11Z","title":"Curvature estimates for hypersurfaces of constant curvature in hyperbolic space II","version":3},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-05-22T17:02:58.091424Z"},"links":{"cited_paper":"/paper/2410.09950","citing_paper":"/paper/2505.00760"},"observation_digest":"sha256:8c8b0bb2dd3192c32738b3d60033911feebad84f65520de5ca204b7b105a6eba","observation_id":"5d5ec23f-7642-4db1-aec9-971e8cf41537","resolution":{"observed_at":"2026-05-22T17:05:00.528371Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2410.09950/citation-record","integrity":"/paper/2410.09950/integrity","json":"/paper/2410.09950/citation-record.json","paper":"/paper/2410.09950"},"outbound":[],"paper":{"arxiv_id":"2410.09950","last_updated":"2024-10-13T18:17:29Z","latest_version":1,"primary_category":"math.DG","snapshot_observed_at":"2026-08-12T22:24:20.715833Z","submitted_at":"2024-10-13T18:17:29Z","title":"On the propagation of singularities of constant curvature, convex hypersurfaces"},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2410.09950."}