{"as_of":"2026-08-12T22:56:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:f06ab286045293a8af85b1ea5c41e2fd48b81110a4bfb8673bcc32a0b7689714","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":2,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":2,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T21:36:13.084767Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-12T09:56:28.193639Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2401.07925","last_updated":"2024-01-15T19:34:19Z","snapshot_observed_at":"2026-08-04T21:00:15.120778Z","submitted_at":"2024-01-15T19:34:19Z","title":"A bilinear estimate in $\\mathbb{F}_p$","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.07925","snapshot_observed_at":"2026-08-10T21:36:13.084767Z","title":"Number of points of varie ties in finite fields","venue":null,"work_id":null,"year":1954},"citing_paper":{"arxiv_id":"2501.04887","last_updated":"2025-01-08T23:57:58Z","snapshot_observed_at":"2026-08-10T21:20:42.261217Z","submitted_at":"2025-01-08T23:57:58Z","title":"Uniform nonlinear Szemer\\'{e}di theorem for corners in finite fields","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-10T21:36:13.084767Z"},"links":{"cited_paper":"/paper/2401.07925","citing_paper":"/paper/2501.04887"},"observation_digest":"sha256:a1e8929179972573f2a05f69f9b4db5d9911e210f4d96143030177c401401b8d","observation_id":"f8c95380-e240-4b31-8d22-2601e87d254d","resolution":{"observed_at":"2026-08-10T21:36:13.084767Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2401.07925","last_updated":"2024-01-15T19:34:19Z","snapshot_observed_at":"2026-08-04T21:00:15.120778Z","submitted_at":"2024-01-15T19:34:19Z","title":"A bilinear estimate in $\\mathbb{F}_p$","version":1},"cited_work":{"arxiv_id":"2401.07925","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2401.07925","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Kavrut and S","venue":null,"work_id":"24b95b2f-99bb-4c1a-9852-5b6c62319f31","year":null},"citing_paper":{"arxiv_id":"2604.27501","last_updated":"2026-04-30T06:51:06Z","snapshot_observed_at":"2026-08-02T08:52:36.736169Z","submitted_at":"2026-04-30T06:51:06Z","title":"An improved non-linear Roth-type theorem in finite fields","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-05-07T08:36:24.172662Z"},"links":{"cited_paper":"/paper/2401.07925","citing_paper":"/paper/2604.27501"},"observation_digest":"sha256:d3bd33a1b47c3a530592ebb985c44aa016ea7bb1547c672e9ee10a597a4a1e91","observation_id":"ae2abea5-0c56-421d-89fb-b606e624419a","resolution":{"observed_at":"2026-05-12T09:56:28.196561Z","resolver_source":"arxiv_id","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/2401.07925/citation-record","integrity":"/paper/2401.07925/integrity","json":"/paper/2401.07925/citation-record.json","paper":"/paper/2401.07925"},"outbound":[],"paper":{"arxiv_id":"2401.07925","last_updated":"2024-01-15T19:34:19Z","latest_version":1,"primary_category":"math.CA","snapshot_observed_at":"2026-08-04T21:00:15.120778Z","submitted_at":"2024-01-15T19:34:19Z","title":"A bilinear estimate in $\\mathbb{F}_p$"},"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 2 inbound Pith citation observations for arXiv:2401.07925."}