{"as_of":"2026-08-12T14:20:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:c744e630bb3a199c5fec3c623bb04b83e40b087bd162d64c5b42f0e04a73529d","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":"2026-08-12T06:34:41.77262+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":"2026-08-10T22:44:14.002810Z","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":"2026-08-06T21:41:58.959896Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2402.12633","last_updated":"2024-03-20T16:39:49Z","snapshot_observed_at":"2026-08-12T13:04:49.489320Z","submitted_at":"2024-02-20T01:25:39Z","title":"Scalar curvature rigidity of the four-dimensional sphere","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.12633","snapshot_observed_at":"2026-08-10T22:44:14.002810Z","title":"S calar curvature rigidity of the four-dimensional sphere","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2501.01252","last_updated":"2025-01-02T13:42:40Z","snapshot_observed_at":"2026-08-11T13:25:38.111538Z","submitted_at":"2025-01-02T13:42:40Z","title":"Gap phenomenon for scalar curvature","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-10T22:44:14.002810Z"},"links":{"cited_paper":"/paper/2402.12633","citing_paper":"/paper/2501.01252"},"observation_digest":"sha256:ddd6033cc0a033d73409e1b90770607ece76424e0671eaa3fe108e02de6a97d3","observation_id":"a2e59599-6725-4c71-965c-6f669b8b4489","resolution":{"observed_at":"2026-08-10T22:44:14.002810Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.12633","last_updated":"2024-03-20T16:39:49Z","snapshot_observed_at":"2026-08-12T13:04:49.489320Z","submitted_at":"2024-02-20T01:25:39Z","title":"Scalar curvature rigidity of the four-dimensional sphere","version":2},"cited_work":{"arxiv_id":"2402.12633","doi":null,"metadata_source":"pith","pith_arxiv_id":"2402.12633","snapshot_observed_at":"2026-08-06T21:41:58.959896Z","title":"Scalar curvature rigidity of the four-dimensional sphere","venue":"math.DG","work_id":"7f9acd48-ae92-44e9-bdb9-1e0d2d0838de","year":2024},"citing_paper":{"arxiv_id":"2506.24059","last_updated":"2025-06-30T17:07:41Z","snapshot_observed_at":"2026-08-11T00:19:32.030080Z","submitted_at":"2025-06-30T17:07:41Z","title":"A scalar-mean curvature comparison theorem for manifolds with iterated conical singularities","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T21:41:56.682231Z"},"links":{"cited_paper":"/paper/2402.12633","citing_paper":"/paper/2506.24059"},"observation_digest":"sha256:0fe3e865aebce9ae871e5cd0e002a5991686bb993a7530a972d808fb69f38628","observation_id":"f87feac0-49c7-4362-941b-d48394fbcb21","resolution":{"observed_at":"2026-08-06T21:41:59.011161Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2402.12633/citation-record","integrity":"/paper/2402.12633/integrity","json":"/paper/2402.12633/citation-record.json","paper":"/paper/2402.12633"},"outbound":[],"paper":{"arxiv_id":"2402.12633","last_updated":"2024-03-20T16:39:49Z","latest_version":2,"primary_category":"math.DG","snapshot_observed_at":"2026-08-12T13:04:49.489320Z","submitted_at":"2024-02-20T01:25:39Z","title":"Scalar curvature rigidity of the four-dimensional sphere"},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2402.12633."}