{"as_of":"2026-08-12T09:52:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:0325322c713d0edbe52c6fb350a4e6a26c2de2ea7752055012b74512ae032d6e","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":"2026-08-06T16:14:31.553036Z","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":"2026-08-06T16:14:32.159617Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1904.00499","last_updated":"2019-04-08T06:07:48Z","snapshot_observed_at":"2026-08-12T03:14:43.901697Z","submitted_at":"2019-03-31T22:33:31Z","title":"Verifying the Firoozbakht, Nicholson, and Farhadian conjectures up to the 81st maximal prime gap","version":2},"cited_work":{"arxiv_id":"1904.00499","doi":null,"metadata_source":"pith","pith_arxiv_id":"1904.00499","snapshot_observed_at":"2026-08-06T16:14:32.159617Z","title":"Verifying the Firoozbakht, Nicholson, and Farhadian conjectures up to the 81st maximal prime gap","venue":"math.NT","work_id":"e4a27c4a-ce59-4642-ba80-16c7915a14d1","year":2019},"citing_paper":{"arxiv_id":"2507.14410","last_updated":"2025-07-18T23:34:46Z","snapshot_observed_at":"2026-08-11T23:56:13.404436Z","submitted_at":"2025-07-18T23:34:46Z","title":"Behaviour of the sequence $\\vartheta_n = \\vartheta(p_n)$","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T16:14:31.553036Z"},"links":{"cited_paper":"/paper/1904.00499","citing_paper":"/paper/2507.14410"},"observation_digest":"sha256:66bd97fcec1041d0fe6081a96a56f0e273693e4bce40f93c9518926787da4152","observation_id":"6e8b59ee-9b24-4bd1-b1fb-d5f61c13f132","resolution":{"observed_at":"2026-08-06T16:14:32.182200Z","resolver_source":"local_arxiv","status":"verified_exact"},"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/1904.00499/citation-record","integrity":"/paper/1904.00499/integrity","json":"/paper/1904.00499/citation-record.json","paper":"/paper/1904.00499"},"outbound":[],"paper":{"arxiv_id":"1904.00499","last_updated":"2019-04-08T06:07:48Z","latest_version":2,"primary_category":"math.NT","snapshot_observed_at":"2026-08-12T03:14:43.901697Z","submitted_at":"2019-03-31T22:33:31Z","title":"Verifying the Firoozbakht, Nicholson, and Farhadian conjectures up to the 81st maximal prime gap"},"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:1904.00499."}