{"as_of":"2026-08-15T01:26:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:19d7117c2e7438518b86c59103001029ecb859ec541ce464ea6eeab515b51113","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":"2026-08-14T06:32:32.682623+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":"2026-08-01T12:29:06.106677Z","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":"2508.04657","last_updated":"2025-08-07T17:41:29Z","snapshot_observed_at":"2026-08-05T23:53:32.390164Z","submitted_at":"2025-08-06T17:24:51Z","title":"Cholesky decomposition for symmetric matrices over finite fields","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2508.04657","snapshot_observed_at":"2026-08-01T12:29:06.106677Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.19574","last_updated":"2026-07-21T21:01:37Z","snapshot_observed_at":"2026-08-08T04:52:23.495321Z","submitted_at":"2026-07-21T21:01:37Z","title":"Quantum codes from classical annealing","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-01T12:29:06.106677Z"},"links":{"cited_paper":"/paper/2508.04657","citing_paper":"/paper/2607.19574"},"observation_digest":"sha256:2d98331ed563a48c7aaeccef7f5883fee06d343340a69ca2af15bfa81800f058","observation_id":"37346141-44b0-4f41-91db-4a02b20cac76","resolution":{"observed_at":"2026-08-01T12:29:06.106677Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2508.04657/citation-record","integrity":"/paper/2508.04657/integrity","json":"/paper/2508.04657/citation-record.json","paper":"/paper/2508.04657"},"outbound":[],"paper":{"arxiv_id":"2508.04657","last_updated":"2025-08-07T17:41:29Z","latest_version":2,"primary_category":"math.CO","snapshot_observed_at":"2026-08-05T23:53:32.390164Z","submitted_at":"2025-08-06T17:24:51Z","title":"Cholesky decomposition for symmetric matrices over finite fields"},"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":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 15 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2508.04657."}