{"as_of":"2026-08-05T10:28:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:722d937501a2dcc0c8eea020db46d42d1ace7bf2e63c366672c98115a7cb8eb7","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":3,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":3,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-05T06:32:48.257954+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-04T04:26:36.354015Z","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":"2026-05-10T07:47:12.889218Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1908.06153","last_updated":"2019-08-16T20:22:32Z","snapshot_observed_at":"2026-07-06T08:14:56.654703Z","submitted_at":"2019-08-16T20:22:32Z","title":"Koszul duality for non-graded derived categories","version":1},"cited_work":{"arxiv_id":"1908.06153","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1908.06153","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"beeb920e-f35d-4507-9909-eda3d43a8455","year":2019},"citing_paper":{"arxiv_id":"2604.16805","last_updated":"2026-05-30T20:41:21Z","snapshot_observed_at":"2026-08-02T06:43:25.674985Z","submitted_at":"2026-04-18T03:28:11Z","title":"A Non-graded Koszul Duality and Its Applications","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-05-10T07:38:10.766696Z"},"links":{"cited_paper":"/paper/1908.06153","citing_paper":"/paper/2604.16805"},"observation_digest":"sha256:b2e6c72ecc0361fe4cd6c9be4c1d6c26beae16809e48046ec80c89645bae1033","observation_id":"5a972c3c-4d61-4272-ae7b-1bc3955debcb","resolution":{"observed_at":"2026-05-10T07:47:12.890435Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1908.06153","last_updated":"2019-08-16T20:22:32Z","snapshot_observed_at":"2026-07-06T08:14:56.654703Z","submitted_at":"2019-08-16T20:22:32Z","title":"Koszul duality for non-graded derived categories","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1908.06153","snapshot_observed_at":"2026-08-02T02:37:53.187619Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.14299","last_updated":"2026-08-02T15:46:07Z","snapshot_observed_at":"2026-08-05T10:22:33.086789Z","submitted_at":"2026-07-15T19:02:05Z","title":"Koszul Duality for Coherent Sheaves","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-02T02:37:53.187619Z"},"links":{"cited_paper":"/paper/1908.06153","citing_paper":"/paper/2607.14299"},"observation_digest":"sha256:2a7c1e0700f646388bc2dcaafd7857743036ec67d60f510542e65922a6bc6d86","observation_id":"0f377341-d353-43a1-b94c-f7cda3a874e8","resolution":{"observed_at":"2026-08-02T02:37:53.187619Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1908.06153","last_updated":"2019-08-16T20:22:32Z","snapshot_observed_at":"2026-07-06T08:14:56.654703Z","submitted_at":"2019-08-16T20:22:32Z","title":"Koszul duality for non-graded derived categories","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1908.06153","snapshot_observed_at":"2026-08-04T04:26:36.354015Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.14299","last_updated":"2026-08-02T15:46:07Z","snapshot_observed_at":"2026-08-05T10:22:33.086789Z","submitted_at":"2026-07-15T19:02:05Z","title":"Koszul Duality for Coherent Sheaves","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-04T04:26:36.354015Z"},"links":{"cited_paper":"/paper/1908.06153","citing_paper":"/paper/2607.14299"},"observation_digest":"sha256:f2a14b447ee6c21cad6e165c07715e9489ed4cbe5ab1b0b19146cabe80913897","observation_id":"6646e034-2d47-4360-8c73-eec06f835c41","resolution":{"observed_at":"2026-08-04T04:26:36.354015Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/1908.06153/citation-record","integrity":"/paper/1908.06153/integrity","json":"/paper/1908.06153/citation-record.json","paper":"/paper/1908.06153"},"outbound":[],"paper":{"arxiv_id":"1908.06153","last_updated":"2019-08-16T20:22:32Z","latest_version":1,"primary_category":"math.RT","snapshot_observed_at":"2026-07-06T08:14:56.654703Z","submitted_at":"2019-08-16T20:22:32Z","title":"Koszul duality for non-graded derived categories"},"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":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"thesis":"As of 5 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:1908.06153."}