{"as_of":"2026-08-11T14:25:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:4b5ddb721a0f5b35a72be17a51f98d0b92ad2a20b6715ccded5d4990046406c4","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":"2026-08-11T06:34:44.6726+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":"2026-08-09T05:22:36.162541Z","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":"2026-06-29T06:33:11.978781Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2111.05798","last_updated":"2021-11-08T18:58:50Z","snapshot_observed_at":"2026-08-09T05:50:11.796028Z","submitted_at":"2021-11-08T18:58:50Z","title":"On the evaluation of the Appell $F_2$ double hypergeometric function","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2111.05798","snapshot_observed_at":"2026-08-09T05:22:36.162541Z","title":"On the evaluation of the Appell F2 double hypergeometric function,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2502.03276","last_updated":"2025-02-05T15:33:09Z","snapshot_observed_at":"2026-08-10T09:24:42.607570Z","submitted_at":"2025-02-05T15:33:09Z","title":"High-precision numerical evaluation of Lauricella functions","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-09T05:22:36.162541Z"},"links":{"cited_paper":"/paper/2111.05798","citing_paper":"/paper/2502.03276"},"observation_digest":"sha256:ecf27d52b04f437350c05321b6383352a7c2a20fa145bc6bc08c0db1ed48b5a9","observation_id":"5d77228b-462d-4beb-baa0-2edce3ac8bc6","resolution":{"observed_at":"2026-08-09T05:22:36.162541Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2111.05798","last_updated":"2021-11-08T18:58:50Z","snapshot_observed_at":"2026-08-09T05:50:11.796028Z","submitted_at":"2021-11-08T18:58:50Z","title":"On the evaluation of the Appell $F_2$ double hypergeometric function","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2111.05798","snapshot_observed_at":"2026-08-08T11:27:52.051415Z","title":"Ananthanarayan, S","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2502.07935","last_updated":"2025-02-11T20:28:20Z","snapshot_observed_at":"2026-08-10T09:25:11.554158Z","submitted_at":"2025-02-11T20:28:20Z","title":"$\\texttt{PrecisionLauricella}$: package for numerical computation of Lauricella functions depending on a parameter","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-08T11:27:52.051415Z"},"links":{"cited_paper":"/paper/2111.05798","citing_paper":"/paper/2502.07935"},"observation_digest":"sha256:a5bbc647b74a9c1dc2ccfb89fd15fc8fb55e65605f4772495fef52ae8094400a","observation_id":"eadec627-70ec-4bc4-85fa-40a901c2c05f","resolution":{"observed_at":"2026-08-08T11:27:52.051415Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2111.05798","last_updated":"2021-11-08T18:58:50Z","snapshot_observed_at":"2026-08-09T05:50:11.796028Z","submitted_at":"2021-11-08T18:58:50Z","title":"On the evaluation of the Appell $F_2$ double hypergeometric function","version":1},"cited_work":{"arxiv_id":"2111.05798","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2111.05798","snapshot_observed_at":"2026-06-29T06:33:11.978781Z","title":"On the evaluation of the Appell F2 double hypergeometric function","venue":null,"work_id":"1d601773-7844-4694-b68e-5fc226aa6ea2","year":2023},"citing_paper":{"arxiv_id":"2605.30216","last_updated":"2026-05-28T16:48:44Z","snapshot_observed_at":"2026-08-01T21:32:02.648719Z","submitted_at":"2026-05-28T16:48:44Z","title":"HyperPrecision: A Mathematica package for High-Precision Numerical Evaluation of Multivariate Hypergeometric Functions","version":1},"reference_index":96,"source":"pdf_text","source_observed_at":"2026-06-29T06:30:54.899745Z"},"links":{"cited_paper":"/paper/2111.05798","citing_paper":"/paper/2605.30216"},"observation_digest":"sha256:05e77e1f155f10c0dea852b144fce8322497a69c4d69eadacb804ea579479585","observation_id":"7a572a50-5845-4c46-9e3e-22c94917e1f1","resolution":{"observed_at":"2026-06-29T06:33:11.980071Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2111.05798/citation-record","integrity":"/paper/2111.05798/integrity","json":"/paper/2111.05798/citation-record.json","paper":"/paper/2111.05798"},"outbound":[],"paper":{"arxiv_id":"2111.05798","last_updated":"2021-11-08T18:58:50Z","latest_version":1,"primary_category":"math.CA","snapshot_observed_at":"2026-08-09T05:50:11.796028Z","submitted_at":"2021-11-08T18:58:50Z","title":"On the evaluation of the Appell $F_2$ double hypergeometric function"},"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":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2111.05798."}