{"as_of":"2026-08-04T16:13:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:b482411ca4c92106effacc1c1c9a720666dbdaaa834f6c462910f507df64f74c","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":"2026-08-04T06:34:03.388597+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":"2026-07-03T07:22:18.541789Z","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":"2026-07-03T07:27:43.849086Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2007.06453","last_updated":"2020-11-16T15:33:48Z","snapshot_observed_at":"2026-08-04T06:52:43.425990Z","submitted_at":"2020-07-08T15:57:02Z","title":"Proof of three conjectures on determinants related to quadratic residues","version":2},"cited_work":{"arxiv_id":"2007.06453","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2007.06453","snapshot_observed_at":"2026-07-03T07:27:43.849086Z","title":"Grinberg, Z.-W","venue":null,"work_id":"339a5e7c-e8e1-45d0-a818-673ff2605a3d","year":2007},"citing_paper":{"arxiv_id":"2607.01695","last_updated":"2026-07-02T04:39:20Z","snapshot_observed_at":"2026-07-07T00:07:13.555571Z","submitted_at":"2026-07-02T04:39:20Z","title":"A Pfaffian Proof and Generalization of a Conjecture of Sun Zhiwei","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-07-03T07:22:18.541789Z"},"links":{"cited_paper":"/paper/2007.06453","citing_paper":"/paper/2607.01695"},"observation_digest":"sha256:212dfa75c670546d2268682122492d243374d61586def66c8dfe9c042e2470f1","observation_id":"9fd9c376-7f46-48f3-a561-d22bd4c5eb4b","resolution":{"observed_at":"2026-07-03T07:27:43.850734Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2007.06453/citation-record","integrity":"/paper/2007.06453/integrity","json":"/paper/2007.06453/citation-record.json","paper":"/paper/2007.06453"},"outbound":[],"paper":{"arxiv_id":"2007.06453","last_updated":"2020-11-16T15:33:48Z","latest_version":2,"primary_category":"math.NT","snapshot_observed_at":"2026-08-04T06:52:43.425990Z","submitted_at":"2020-07-08T15:57:02Z","title":"Proof of three conjectures on determinants related to quadratic residues"},"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":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"thesis":"As of 4 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2007.06453."}