{"as_of":"2026-08-02T20:35:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:4c6772d2a14340d8b93cfb74fb389b438e0b7fb20b5d7858dc71207f9858f9d7","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":"2026-08-02T06:30:47.504484+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":"2026-05-16T15:42:53.936778Z","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":"2026-05-16T15:43:03.547560Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2404.19658","last_updated":"2025-03-17T06:59:50Z","snapshot_observed_at":"2026-07-06T18:07:43.612046Z","submitted_at":"2024-04-30T15:55:23Z","title":"Gravitational Lensing Using Werner's Method in Cartesian-like Coordinates","version":2},"cited_work":{"arxiv_id":"2404.19658","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2404.19658","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Li, Gravitational lensing using Werner’s method in Cartesian-like coordinates, Phys","venue":null,"work_id":"01b6549a-ae9a-4096-aaa2-94b3c13a12f4","year":2025},"citing_paper":{"arxiv_id":"2601.06864","last_updated":"2026-05-05T01:33:32Z","snapshot_observed_at":"2026-07-06T22:41:24.948774Z","submitted_at":"2026-01-11T11:17:16Z","title":"Boundary-only weak deflection angles from isothermal optical geometry","version":2},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-05-16T15:42:53.936778Z"},"links":{"cited_paper":"/paper/2404.19658","citing_paper":"/paper/2601.06864"},"observation_digest":"sha256:8df78963b43e71a5b3ff88f3628a03e9c6a33549eabfc3faa6ab33e0b8461b24","observation_id":"4b1db72c-2cf4-45d8-9237-1ad0b1823e7f","resolution":{"observed_at":"2026-05-16T15:43:03.549358Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-02T06:30:47.504484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-02T06:30:47.504484+00:00","source":"crossref"},{"observed_at":"2026-08-02T06:30:44.765945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.19658","last_updated":"2025-03-17T06:59:50Z","snapshot_observed_at":"2026-07-06T18:07:43.612046Z","submitted_at":"2024-04-30T15:55:23Z","title":"Gravitational Lensing Using Werner's Method in Cartesian-like Coordinates","version":2},"cited_work":{"arxiv_id":"2404.19658","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2404.19658","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Li, Gravitational lensing using Werner’s method in Cartesian-like coordinates, Phys","venue":null,"work_id":"01b6549a-ae9a-4096-aaa2-94b3c13a12f4","year":2025},"citing_paper":{"arxiv_id":"2604.16807","last_updated":"2026-04-18T03:29:59Z","snapshot_observed_at":"2026-07-06T23:04:01.558812Z","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":29,"source":"pdf_text","source_observed_at":"2026-05-10T07:34:27.404141Z"},"links":{"cited_paper":"/paper/2404.19658","citing_paper":"/paper/2604.16807"},"observation_digest":"sha256:edac15d8bd799c549de5e3c82a84f30edf22cc00389a7c6d07bb1194ae940b0a","observation_id":"59d2ab5c-55dc-444b-9737-da349dfd9e20","resolution":{"observed_at":"2026-05-10T07:37:04.797416Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-02T06:30:47.504484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-02T06:30:47.504484+00:00","source":"crossref"},{"observed_at":"2026-08-02T06:30:44.765945+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2404.19658/citation-record","integrity":"/paper/2404.19658/integrity","json":"/paper/2404.19658/citation-record.json","paper":"/paper/2404.19658"},"outbound":[],"paper":{"arxiv_id":"2404.19658","last_updated":"2025-03-17T06:59:50Z","latest_version":2,"primary_category":"gr-qc","snapshot_observed_at":"2026-07-06T18:07:43.612046Z","submitted_at":"2024-04-30T15:55:23Z","title":"Gravitational Lensing Using Werner's Method in Cartesian-like Coordinates"},"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":"2026-08-02T06:30:47.504484+00:00","source":"crossref"},{"observed_at":"2026-08-02T06:30:44.765945+00:00","source":"retraction_watch"}],"thesis":"As of 2 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2404.19658."}