{"as_of":"2026-08-07T10:27:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:26d8ad75fd5d4993f3727fb973ee1352d8c53f7f1ad0a82c748716f7a14241be","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":"2026-08-07T06:34:17.273281+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":"2026-08-05T15:39:28.446383Z","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":"2026-05-10T08:27:51.990461Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1911.02019","last_updated":"2019-11-05T19:00:01Z","snapshot_observed_at":"2026-07-06T08:34:55.890866Z","submitted_at":"2019-11-05T19:00:01Z","title":"On the Size of a Black Hole: The Schwarzschild is the Biggest","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1911.02019","snapshot_observed_at":"2026-08-05T15:39:28.446383Z","title":"Lu and H","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2508.19823","last_updated":"2025-09-14T01:22:39Z","snapshot_observed_at":"2026-08-06T02:03:23.861680Z","submitted_at":"2025-08-27T12:14:20Z","title":"The existence and upper bound for stable photon spheres in static spherically symmetric black holes","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-05T15:39:28.446383Z"},"links":{"cited_paper":"/paper/1911.02019","citing_paper":"/paper/2508.19823"},"observation_digest":"sha256:b0ee162916ea16ea2652c266c84139fdf4d5c73fe9ee43d8a76c17d35b703c82","observation_id":"4d10ea76-cf14-4ff8-92c4-2a46e477a979","resolution":{"observed_at":"2026-08-05T15:39:28.446383Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1911.02019","last_updated":"2019-11-05T19:00:01Z","snapshot_observed_at":"2026-07-06T08:34:55.890866Z","submitted_at":"2019-11-05T19:00:01Z","title":"On the Size of a Black Hole: The Schwarzschild is the Biggest","version":1},"cited_work":{"arxiv_id":"1911.02019","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1911.02019","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Lu and H.-D","venue":null,"work_id":"6f2db731-ca6c-4687-8c5b-b24881c2dbd4","year":2020},"citing_paper":{"arxiv_id":"2604.16551","last_updated":"2026-04-17T07:15:39Z","snapshot_observed_at":"2026-08-03T02:41:20.344987Z","submitted_at":"2026-04-17T07:15:39Z","title":"Photon rings and shadows of black holes with non-minimal couplings between curvature and electromagnetic field","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-05-10T08:25:01.464679Z"},"links":{"cited_paper":"/paper/1911.02019","citing_paper":"/paper/2604.16551"},"observation_digest":"sha256:85b949ef71b889ebcd6e8f50b7470a17e28c59f82b39494aecbce16c11525197","observation_id":"3b7d4d0a-d1c3-449b-b915-22118f1bae84","resolution":{"observed_at":"2026-05-10T08:27:51.991734Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1911.02019","last_updated":"2019-11-05T19:00:01Z","snapshot_observed_at":"2026-07-06T08:34:55.890866Z","submitted_at":"2019-11-05T19:00:01Z","title":"On the Size of a Black Hole: The Schwarzschild is the Biggest","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1911.02019","snapshot_observed_at":"2026-08-02T10:12:21.243985Z","title":"Lu and H","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2606.27795","last_updated":"2026-07-16T12:06:20Z","snapshot_observed_at":"2026-08-02T10:12:20.905162Z","submitted_at":"2026-06-26T07:27:57Z","title":"Bounds on the radius of outermost photon sphere and black hole shadow in $n$-dimensional Einstein gravity","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-02T10:12:21.243985Z"},"links":{"cited_paper":"/paper/1911.02019","citing_paper":"/paper/2606.27795"},"observation_digest":"sha256:4a245975f0afa44ebcb34e7e216d813bf7b98df24b488ac8b319fe7e97cfde77","observation_id":"8bf2e043-7574-4f21-85d9-eb5d1139f486","resolution":{"observed_at":"2026-08-02T10:12:21.243985Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1911.02019","last_updated":"2019-11-05T19:00:01Z","snapshot_observed_at":"2026-07-06T08:34:55.890866Z","submitted_at":"2019-11-05T19:00:01Z","title":"On the Size of a Black Hole: The Schwarzschild is the Biggest","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1911.02019","snapshot_observed_at":"2026-08-01T09:17:01.112328Z","title":"Lu and H","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.20850","last_updated":"2026-07-23T02:22:38Z","snapshot_observed_at":"2026-08-04T00:24:38.778101Z","submitted_at":"2026-07-23T02:22:38Z","title":"Static spheres in black hole spacetimes: pairing, energy conditions, and an upper bound on the innermost radius","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-01T09:17:01.112328Z"},"links":{"cited_paper":"/paper/1911.02019","citing_paper":"/paper/2607.20850"},"observation_digest":"sha256:08721aec484a31b3e3ff6bd7e81dfc4faa00d4ff2cee041e70d30a55db225417","observation_id":"fdffe6e0-ec8f-4de0-bf13-be245823cd5a","resolution":{"observed_at":"2026-08-01T09:17:01.112328Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/1911.02019/citation-record","integrity":"/paper/1911.02019/integrity","json":"/paper/1911.02019/citation-record.json","paper":"/paper/1911.02019"},"outbound":[],"paper":{"arxiv_id":"1911.02019","last_updated":"2019-11-05T19:00:01Z","latest_version":1,"primary_category":"gr-qc","snapshot_observed_at":"2026-07-06T08:34:55.890866Z","submitted_at":"2019-11-05T19:00:01Z","title":"On the Size of a Black Hole: The Schwarzschild is the Biggest"},"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 7 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:1911.02019."}