{"as_of":"2026-08-13T15:31:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:5f135478557ebdc610f72f7dc8f8820a4f223a984151720c5e2b0f8036ebcbaf","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":"2026-08-13T06:32:02.005865+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":"2026-08-02T19:49:51.963240Z","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":"1608.04212","last_updated":"2021-09-02T15:04:28Z","snapshot_observed_at":"2026-07-06T05:07:01.679054Z","submitted_at":"2016-08-15T08:59:22Z","title":"Gendo-symmetric algebras, dominant dimensions and Gorenstein homological algebra","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1608.04212","snapshot_observed_at":"2026-08-02T19:49:51.963240Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2603.01424","last_updated":"2026-06-10T08:29:46Z","snapshot_observed_at":"2026-08-06T04:12:00.365304Z","submitted_at":"2026-03-02T04:04:11Z","title":"Cotorsion pairs, thick subcategories, and finitely generated Gorenstein projective modules","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-02T19:49:51.963240Z"},"links":{"cited_paper":"/paper/1608.04212","citing_paper":"/paper/2603.01424"},"observation_digest":"sha256:ecac0c321793e559ada626c514ef9c997a2fc96ed61a3d071f38333c949ca943","observation_id":"5592c00a-a77c-4c1e-ab94-ec7fab9be588","resolution":{"observed_at":"2026-08-02T19:49:51.963240Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/1608.04212/citation-record","integrity":"/paper/1608.04212/integrity","json":"/paper/1608.04212/citation-record.json","paper":"/paper/1608.04212"},"outbound":[],"paper":{"arxiv_id":"1608.04212","last_updated":"2021-09-02T15:04:28Z","latest_version":2,"primary_category":"math.RT","snapshot_observed_at":"2026-07-06T05:07:01.679054Z","submitted_at":"2016-08-15T08:59:22Z","title":"Gendo-symmetric algebras, dominant dimensions and Gorenstein homological algebra"},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:1608.04212."}