{"as_of":"2026-08-08T01:20:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:db73347f8a184d7c1e12b18cac2a9cf7ec872efaa69dd68e933e6254c93c62d8","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":1,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":1,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T18:42:24.692150Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1910.03439","last_updated":"2019-10-08T14:57:49Z","snapshot_observed_at":"2026-07-06T08:27:46.186150Z","submitted_at":"2019-10-08T14:57:49Z","title":"The affine-null formulation of the gravitational equations: spherical case","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1910.03439","snapshot_observed_at":"2026-08-06T18:42:24.692150Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2507.07636","last_updated":"2025-07-10T11:05:56Z","snapshot_observed_at":"2026-08-08T01:00:22.164344Z","submitted_at":"2025-07-10T11:05:56Z","title":"Critical Phenomena in Gravitational Collapse","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-06T18:42:24.692150Z"},"links":{"cited_paper":"/paper/1910.03439","citing_paper":"/paper/2507.07636"},"observation_digest":"sha256:78d2b14f6288dfa7ac19100a00755cd0801521c25d1882ac96f42ede116c4335","observation_id":"094e1635-4718-4d18-a63d-fca7802dcc54","resolution":{"observed_at":"2026-08-06T18:42:24.692150Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/1910.03439/citation-record","integrity":"/paper/1910.03439/integrity","json":"/paper/1910.03439/citation-record.json","paper":"/paper/1910.03439"},"outbound":[],"paper":{"arxiv_id":"1910.03439","last_updated":"2019-10-08T14:57:49Z","latest_version":1,"primary_category":"gr-qc","snapshot_observed_at":"2026-07-06T08:27:46.186150Z","submitted_at":"2019-10-08T14:57:49Z","title":"The affine-null formulation of the gravitational equations: spherical case"},"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":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:1910.03439."}