{"as_of":"2026-08-09T18:12:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:606dc59ca43a5f8fa76b8e41b077f54b16da8163eff289d97d668cf7f07ca392","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":"2026-08-09T06:31:02.800959+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":"2026-08-04T22:04:56.654082Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-04T22:04:57.244085Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2212.02300","last_updated":"2023-08-22T17:38:08Z","snapshot_observed_at":"2026-08-07T17:58:47.744440Z","submitted_at":"2022-12-05T14:25:08Z","title":"Fp-projective periodicity","version":4},"cited_work":{"arxiv_id":"2212.02300","doi":null,"metadata_source":"pith","pith_arxiv_id":"2212.02300","snapshot_observed_at":"2026-08-04T22:04:57.244085Z","title":"Fp-projective periodicity","venue":"math.CT","work_id":"aac8e1b8-09c9-49ff-ad5a-d5b46402ca0c","year":2022},"citing_paper":{"arxiv_id":"2509.07645","last_updated":"2026-07-07T14:13:14Z","snapshot_observed_at":"2026-08-07T07:03:45.825928Z","submitted_at":"2025-09-09T12:12:42Z","title":"Coderived and contraderived categories for a cotorsion pair, flat-type cotorsion pairs, and relative periodicity","version":3},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-04T22:04:56.654082Z"},"links":{"cited_paper":"/paper/2212.02300","citing_paper":"/paper/2509.07645"},"observation_digest":"sha256:011ccc6854d9863c72325a041c2af239d05e03188341102d81ffd30d34ce024c","observation_id":"e7124023-34eb-4c46-9ad5-d2dc30d5353f","resolution":{"observed_at":"2026-08-04T22:04:57.249267Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2212.02300/citation-record","integrity":"/paper/2212.02300/integrity","json":"/paper/2212.02300/citation-record.json","paper":"/paper/2212.02300"},"outbound":[],"paper":{"arxiv_id":"2212.02300","last_updated":"2023-08-22T17:38:08Z","latest_version":4,"primary_category":"math.CT","snapshot_observed_at":"2026-08-07T17:58:47.744440Z","submitted_at":"2022-12-05T14:25:08Z","title":"Fp-projective periodicity"},"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":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2212.02300."}