{"as_of":"2026-08-10T23:43:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:818874f675373f72d8e666a686cf176097427dddd99c6f34a959d094905f8033","coverage":[{"denominator":4,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T20:20:26.869584Z","state":"measured"},{"denominator":5,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":5,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-10T06:31:04.303077+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":"2026-08-07T04:45:53.617441Z","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":"2026-08-07T04:45:56.947882Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2501.09437","last_updated":"2025-01-16T10:09:09Z","snapshot_observed_at":"2026-08-10T19:59:44.930653Z","submitted_at":"2025-01-16T10:09:09Z","title":"$L$-smooth factorization for Noetherian $F$-finite rings","version":1},"cited_work":{"arxiv_id":"2501.09437","doi":null,"metadata_source":"pith","pith_arxiv_id":"2501.09437","snapshot_observed_at":"2026-08-07T04:45:56.947882Z","title":"$L$-smooth factorization for Noetherian $F$-finite rings","venue":"math.AC","work_id":"6f16faac-5375-4fac-a31f-642ff4313930","year":2025},"citing_paper":{"arxiv_id":"2506.10626","last_updated":"2025-06-12T12:10:39Z","snapshot_observed_at":"2026-08-10T09:41:29.915952Z","submitted_at":"2025-06-12T12:10:39Z","title":"Relative Inverse Limit Perfection of Derived Commutative Rings","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T04:45:53.617441Z"},"links":{"cited_paper":"/paper/2501.09437","citing_paper":"/paper/2506.10626"},"observation_digest":"sha256:429d8c5c97a92d38d69abf0a6d9b1376644db16694ccc3a8750b0300b01d4447","observation_id":"270af94e-f118-4100-ba6e-2404155774d9","resolution":{"observed_at":"2026-08-07T04:45:57.039418Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2501.09437/citation-record","integrity":"/paper/2501.09437/integrity","json":"/paper/2501.09437/citation-record.json","paper":"/paper/2501.09437"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T20:20:26.962010Z","title":null,"venue":null,"work_id":"b93c3e65-125b-4818-aa5b-8476c2828d83","year":2025},"citing_paper":{"arxiv_id":"2501.09437","last_updated":"2025-01-16T10:09:09Z","snapshot_observed_at":"2026-08-10T19:59:44.930653Z","submitted_at":"2025-01-16T10:09:09Z","title":"$L$-smooth factorization for Noetherian $F$-finite rings","version":1},"reference_index":1968,"source":"pdf_text","source_observed_at":"2026-08-10T20:20:26.869584Z"},"links":{"citing_paper":"/paper/2501.09437"},"observation_digest":"sha256:9116a6a387d766ae8742bcffa74a363470204c1d6772b5b749689a213ccb3044","observation_id":"10ef954a-f91d-4c6d-849f-291f4eac8c29","resolution":{"observed_at":"2026-08-10T20:20:26.966876Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.2307/121087","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T20:20:26.925917Z","title":"Locally complete intersecti on homomorphisms and a con- jecture of Quillen on the vanishing of cotangent homology","venue":null,"work_id":"3e038a8f-8ced-402f-8ea9-a139c7fd8f3f","year":1999},"citing_paper":{"arxiv_id":"2501.09437","last_updated":"2025-01-16T10:09:09Z","snapshot_observed_at":"2026-08-10T19:59:44.930653Z","submitted_at":"2025-01-16T10:09:09Z","title":"$L$-smooth factorization for Noetherian $F$-finite rings","version":1},"reference_index":1974,"source":"pdf_text","source_observed_at":"2026-08-10T20:20:26.850667Z"},"links":{"citing_paper":"/paper/2501.09437"},"observation_digest":"sha256:cb128e98f0eec3d85fd6a9b49a74008e54c6da826a8b64f3db3c23fbadcc0402","observation_id":"6ec0b31d-853e-4239-a11f-b039b7ec9f9d","resolution":{"observed_at":"2026-08-10T20:20:26.931669Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1207.6193","last_updated":"2012-07-26T07:58:52Z","snapshot_observed_at":"2026-07-06T02:52:36.347581Z","submitted_at":"2012-07-26T07:58:52Z","title":"Completions and derived de Rham cohomology","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1207.6193","snapshot_observed_at":"2026-08-10T20:20:26.856710Z","title":"Rigidity p roperties of the cotangent com- plex","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2501.09437","last_updated":"2025-01-16T10:09:09Z","snapshot_observed_at":"2026-08-10T19:59:44.930653Z","submitted_at":"2025-01-16T10:09:09Z","title":"$L$-smooth factorization for Noetherian $F$-finite rings","version":1},"reference_index":2012,"source":"pdf_text","source_observed_at":"2026-08-10T20:20:26.856710Z"},"links":{"cited_paper":"/paper/1207.6193","citing_paper":"/paper/2501.09437"},"observation_digest":"sha256:1df81838f0779c9c2fd962ac08b901c506d3e08e6eef7590dd73f07c0168485e","observation_id":"025d7bbb-08a7-4787-85e9-4b6ac69fd852","resolution":{"observed_at":"2026-08-10T20:20:26.856710Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1515/crelle-2015-0007","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T20:20:26.905014Z","title":"Pro unitality and pro excision in a lgebraicK-theory and cyclic ho- mology","venue":null,"work_id":"23d5a5a9-60f5-4d21-90ad-acbc0b57c5d1","year":2018},"citing_paper":{"arxiv_id":"2501.09437","last_updated":"2025-01-16T10:09:09Z","snapshot_observed_at":"2026-08-10T19:59:44.930653Z","submitted_at":"2025-01-16T10:09:09Z","title":"$L$-smooth factorization for Noetherian $F$-finite rings","version":1},"reference_index":2018,"source":"pdf_text","source_observed_at":"2026-08-10T20:20:26.863330Z"},"links":{"citing_paper":"/paper/2501.09437"},"observation_digest":"sha256:55c60b94d53bc48f56a85cf6b7a1e418241ef0a1a8a19b193c27a529ff0435b4","observation_id":"3c38c8e6-eac2-49bb-8a37-846a1e7eb810","resolution":{"observed_at":"2026-08-10T20:20:26.912094Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2501.09437","last_updated":"2025-01-16T10:09:09Z","latest_version":1,"primary_category":"math.AC","snapshot_observed_at":"2026-08-10T19:59:44.930653Z","submitted_at":"2025-01-16T10:09:09Z","title":"$L$-smooth factorization for Noetherian $F$-finite rings"},"reference_resolution":{"displayed":4,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":2,"verified_exact":2,"verified_fuzzy":0},"total_outbound_references":4},"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":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 4 of 4 outbound references and 1 inbound Pith citation observation for arXiv:2501.09437."}