{"as_of":"2026-08-12T17:45:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:4cbc7220b61f91f9b7a821b5e6eb66b6d0bfa70bcbe2b35764da463d46381f49","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":"2026-08-12T06:34:41.77262+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":"2026-08-06T18:38:22.912311Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-06T18:38:24.454100Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2101.08308","last_updated":"2021-01-20T20:23:05Z","snapshot_observed_at":"2026-08-12T13:03:47.668118Z","submitted_at":"2021-01-20T20:23:05Z","title":"Tweaking the Beukers Integrals In Search of More Miraculous Irrationality Proofs A La Apery","version":1},"cited_work":{"arxiv_id":"2101.08308","doi":null,"metadata_source":"pith","pith_arxiv_id":"2101.08308","snapshot_observed_at":"2026-08-06T18:38:24.454100Z","title":"Tweaking the Beukers Integrals In Search of More Miraculous Irrationality Proofs A La Apery","venue":"math.NT","work_id":"3cad95ea-2017-4ac8-b053-0d625df6bcbd","year":2021},"citing_paper":{"arxiv_id":"2507.08138","last_updated":"2026-07-15T15:40:14Z","snapshot_observed_at":"2026-08-12T14:09:09.535128Z","submitted_at":"2025-07-10T19:56:14Z","title":"On Conservative Matrix Fields: Continuous Asymptotics and Arithmetic","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T18:38:22.912311Z"},"links":{"cited_paper":"/paper/2101.08308","citing_paper":"/paper/2507.08138"},"observation_digest":"sha256:cce64ac757075f5804aedd49c12a08e745429711b31756fef3b17c67fd725961","observation_id":"15438ad5-51c3-4d51-89e9-aeefbd656b4f","resolution":{"observed_at":"2026-08-06T18:38:24.562586Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2101.08308/citation-record","integrity":"/paper/2101.08308/integrity","json":"/paper/2101.08308/citation-record.json","paper":"/paper/2101.08308"},"outbound":[],"paper":{"arxiv_id":"2101.08308","last_updated":"2021-01-20T20:23:05Z","latest_version":1,"primary_category":"math.NT","snapshot_observed_at":"2026-08-12T13:03:47.668118Z","submitted_at":"2021-01-20T20:23:05Z","title":"Tweaking the Beukers Integrals In Search of More Miraculous Irrationality Proofs A La Apery"},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2101.08308."}