{"as_of":"2026-08-12T13:58:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:d3fb0c0272a55e075eed4b7539a15e85df0f362eead50c7f49d3fc8c273d8935","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":"2026-07-14T06:59:13.289105Z","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":"2403.19503","last_updated":"2024-05-15T13:29:29Z","snapshot_observed_at":"2026-07-06T17:52:38.371963Z","submitted_at":"2024-03-28T15:34:53Z","title":"Supercongruences involving Ap\\'ery-like numbers and Bernoulli numbers","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2403.19503","snapshot_observed_at":"2026-07-14T06:59:13.289105Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.11113","last_updated":"2026-07-13T05:43:03Z","snapshot_observed_at":"2026-08-06T04:24:11.046555Z","submitted_at":"2026-07-13T05:43:03Z","title":"Higher-Order Congruence for Reciprocal Power Sums and Generalized Lehmer-Type Products","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-07-14T06:59:13.289105Z"},"links":{"cited_paper":"/paper/2403.19503","citing_paper":"/paper/2607.11113"},"observation_digest":"sha256:78f446c720ca9b954b00748d814bcd0d3a7b87201ffffc2f87dc36311c7a0c72","observation_id":"ad74e43c-79ef-4a72-95dc-6950c50d9ac7","resolution":{"observed_at":"2026-07-14T06:59:13.289105Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2403.19503/citation-record","integrity":"/paper/2403.19503/integrity","json":"/paper/2403.19503/citation-record.json","paper":"/paper/2403.19503"},"outbound":[],"paper":{"arxiv_id":"2403.19503","last_updated":"2024-05-15T13:29:29Z","latest_version":2,"primary_category":"math.NT","snapshot_observed_at":"2026-07-06T17:52:38.371963Z","submitted_at":"2024-03-28T15:34:53Z","title":"Supercongruences involving Ap\\'ery-like numbers and Bernoulli numbers"},"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:2403.19503."}