{"as_of":"2026-08-11T21:26:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:0f2f08e158afd87e8d85a6cc9fc17222b7855fb637b813c8e776897e7dd43669","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":"2026-08-11T06:34:44.6726+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":"2026-08-10T22:35:33.432105Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1802.09740","last_updated":"2018-02-27T06:28:16Z","snapshot_observed_at":"2026-07-06T06:25:33.709663Z","submitted_at":"2018-02-27T06:28:16Z","title":"Numerical computation of Petersson inner products and $q$-expansions","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1802.09740","snapshot_observed_at":"2026-08-10T22:35:33.432105Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.06682","last_updated":"2026-08-07T01:07:12Z","snapshot_observed_at":"2026-08-11T21:10:28.892684Z","submitted_at":"2026-08-07T01:07:12Z","title":"Squarefree numbers in short intervals: explicit and formalized","version":1},"reference_index":82,"source":"arxiv_source","source_observed_at":"2026-08-10T22:35:33.432105Z"},"links":{"cited_paper":"/paper/1802.09740","citing_paper":"/paper/2608.06682"},"observation_digest":"sha256:679bec47e396b8641be7bd1c5f28e1638e6da3c5812cea8ed962e280c173563c","observation_id":"0dec8e26-f94b-4507-bc81-53ef0802575f","resolution":{"observed_at":"2026-08-10T22:35:33.432105Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/1802.09740/citation-record","integrity":"/paper/1802.09740/integrity","json":"/paper/1802.09740/citation-record.json","paper":"/paper/1802.09740"},"outbound":[],"paper":{"arxiv_id":"1802.09740","last_updated":"2018-02-27T06:28:16Z","latest_version":1,"primary_category":"math.NT","snapshot_observed_at":"2026-07-06T06:25:33.709663Z","submitted_at":"2018-02-27T06:28:16Z","title":"Numerical computation of Petersson inner products and $q$-expansions"},"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 1 inbound Pith citation observation for arXiv:1802.09740."}