{"as_of":"2026-08-09T12:54:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:aa2276466ca51e9d3e850c27032bd5365bfce2bba1be527ce398daadacb01fb5","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":3,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":3,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-08T23:50:42.651791Z","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":"2026-05-16T15:43:03.550895Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2001.03290","last_updated":"2020-05-14T04:50:04Z","snapshot_observed_at":"2026-08-08T04:16:57.981538Z","submitted_at":"2020-01-10T02:47:46Z","title":"Gravitational deflection angle of light: Definition by an observer and its application to an asymptotically nonflat spacetime","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2001.03290","snapshot_observed_at":"2026-08-08T23:50:42.651791Z","title":"Gravi- tational deflection angle of light: Definition by an observer and its application to an asymptotically nonflat spacetime,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2502.04044","last_updated":"2025-06-20T14:27:02Z","snapshot_observed_at":"2026-08-09T06:31:10.128014Z","submitted_at":"2025-02-06T13:04:15Z","title":"Analyzing Deflection Angles and Photon Sphere Dynamics of Magnetically Charged Black Holes in Nonlinear Electrodynamic","version":2},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-08T23:50:42.651791Z"},"links":{"cited_paper":"/paper/2001.03290","citing_paper":"/paper/2502.04044"},"observation_digest":"sha256:fdad70aa6f09c4366317c3938ff42fedcb78f292680b9e6ddc3ddacce31e396e","observation_id":"6a59d773-f26e-4858-ab48-9b157833c379","resolution":{"observed_at":"2026-08-08T23:50:42.651791Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2001.03290","last_updated":"2020-05-14T04:50:04Z","snapshot_observed_at":"2026-08-08T04:16:57.981538Z","submitted_at":"2020-01-10T02:47:46Z","title":"Gravitational deflection angle of light: Definition by an observer and its application to an asymptotically nonflat spacetime","version":2},"cited_work":{"arxiv_id":"2001.03290","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2001.03290","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Takizawa, T","venue":null,"work_id":"7bffdd7f-9aa9-4121-9f85-e22a81ef1ea0","year":2020},"citing_paper":{"arxiv_id":"2601.06864","last_updated":"2026-05-05T01:33:32Z","snapshot_observed_at":"2026-08-09T07:45:45.919118Z","submitted_at":"2026-01-11T11:17:16Z","title":"Boundary-only weak deflection angles from isothermal optical geometry","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-05-16T15:42:53.936778Z"},"links":{"cited_paper":"/paper/2001.03290","citing_paper":"/paper/2601.06864"},"observation_digest":"sha256:895cdfe570ec1d61be505583ead53683a2ce4223eb6f249303180f7975d6d947","observation_id":"fa268510-9d34-4613-8acc-6512176e190f","resolution":{"observed_at":"2026-05-16T15:43:03.552624Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2001.03290","last_updated":"2020-05-14T04:50:04Z","snapshot_observed_at":"2026-08-08T04:16:57.981538Z","submitted_at":"2020-01-10T02:47:46Z","title":"Gravitational deflection angle of light: Definition by an observer and its application to an asymptotically nonflat spacetime","version":2},"cited_work":{"arxiv_id":"2001.03290","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2001.03290","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Takizawa, T","venue":null,"work_id":"7bffdd7f-9aa9-4121-9f85-e22a81ef1ea0","year":2020},"citing_paper":{"arxiv_id":"2604.16807","last_updated":"2026-04-18T03:29:59Z","snapshot_observed_at":"2026-08-08T13:21:05.853227Z","submitted_at":"2026-04-18T03:29:59Z","title":"Reference-renormalized curvature-primitive Gauss-Bonnet formalism for finite-distance weak gravitational lensing in static spherical spacetimes","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-05-10T07:34:27.404141Z"},"links":{"cited_paper":"/paper/2001.03290","citing_paper":"/paper/2604.16807"},"observation_digest":"sha256:ddaa5bedb0770f8e31f7d4353583251408ba6a0d286a9b4af832d852748bdf70","observation_id":"f0c7f398-41d9-48fa-aa0f-c9931e2a5aeb","resolution":{"observed_at":"2026-05-10T07:37:04.741168Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2001.03290/citation-record","integrity":"/paper/2001.03290/integrity","json":"/paper/2001.03290/citation-record.json","paper":"/paper/2001.03290"},"outbound":[],"paper":{"arxiv_id":"2001.03290","last_updated":"2020-05-14T04:50:04Z","latest_version":2,"primary_category":"gr-qc","snapshot_observed_at":"2026-08-08T04:16:57.981538Z","submitted_at":"2020-01-10T02:47:46Z","title":"Gravitational deflection angle of light: Definition by an observer and its application to an asymptotically nonflat spacetime"},"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":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2001.03290."}