{"as_of":"2026-08-11T15:25:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:ff275c5bacd544a592e6b858e198cb1d89a032f36a51e3b0476c561c159d806d","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":4,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":4,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+00:00","state":"measured"},{"denominator":4,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T19:54:04.913593Z","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":"2026-05-23T02:37:25.587366Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2207.13967","last_updated":"2023-10-25T06:37:53Z","snapshot_observed_at":"2026-08-03T11:11:47.085293Z","submitted_at":"2022-07-28T09:13:35Z","title":"Extendability of differential forms via Cartier operators","version":4},"cited_work":{"arxiv_id":"2207.13967","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2207.13967","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Extendability of differential forms via C artier operators","venue":null,"work_id":"d73f4b39-e15f-4219-a56a-3b6ff2d12572","year":2022},"citing_paper":{"arxiv_id":"2502.17148","last_updated":"2026-04-05T07:42:03Z","snapshot_observed_at":"2026-08-10T04:37:57.540931Z","submitted_at":"2025-02-24T13:39:13Z","title":"Extending one-forms on $F$-regular singularities","version":3},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-05-23T02:37:00.271943Z"},"links":{"cited_paper":"/paper/2207.13967","citing_paper":"/paper/2502.17148"},"observation_digest":"sha256:246053092b2aea97625c6d2bcff54fc36a4432a418c0d9f2563158f53c9d34ac","observation_id":"a41fa911-940f-477a-b2d2-729e3d926b6c","resolution":{"observed_at":"2026-05-23T02:37:25.590928Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2207.13967","last_updated":"2023-10-25T06:37:53Z","snapshot_observed_at":"2026-08-03T11:11:47.085293Z","submitted_at":"2022-07-28T09:13:35Z","title":"Extendability of differential forms via Cartier operators","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2207.13967","snapshot_observed_at":"2026-08-06T19:54:04.913593Z","title":"Extendability of differential forms via C artier operators","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2507.04838","last_updated":"2025-07-07T10:00:35Z","snapshot_observed_at":"2026-08-10T14:31:22.732660Z","submitted_at":"2025-07-07T10:00:35Z","title":"On Steenbrink vanishing for rational singularities in positive characteristic","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-06T19:54:04.913593Z"},"links":{"cited_paper":"/paper/2207.13967","citing_paper":"/paper/2507.04838"},"observation_digest":"sha256:6826d0c748cb866451b7aa0cd58ba5371ccac2caf08c4207280f86d0870eef63","observation_id":"ce24ccdc-4270-4092-8442-8c5fe7e9df13","resolution":{"observed_at":"2026-08-06T19:54:04.913593Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2207.13967","last_updated":"2023-10-25T06:37:53Z","snapshot_observed_at":"2026-08-03T11:11:47.085293Z","submitted_at":"2022-07-28T09:13:35Z","title":"Extendability of differential forms via Cartier operators","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2207.13967","snapshot_observed_at":"2026-08-06T17:12:33.138469Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2507.12198","last_updated":"2025-07-16T12:54:21Z","snapshot_observed_at":"2026-08-11T10:04:45.231938Z","submitted_at":"2025-07-16T12:54:21Z","title":"Frobenius liftable hypersurfaces","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-06T17:12:33.138469Z"},"links":{"cited_paper":"/paper/2207.13967","citing_paper":"/paper/2507.12198"},"observation_digest":"sha256:32207d262f20c25b071dbeb638e4eb0f1379e516542f7c289b2b85e2fee3184b","observation_id":"21cbccc5-0c91-430f-99a2-0d32c6785fd1","resolution":{"observed_at":"2026-08-06T17:12:33.138469Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2207.13967","last_updated":"2023-10-25T06:37:53Z","snapshot_observed_at":"2026-08-03T11:11:47.085293Z","submitted_at":"2022-07-28T09:13:35Z","title":"Extendability of differential forms via Cartier operators","version":4},"cited_work":{"arxiv_id":"2207.13967","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2207.13967","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Extendability of differential forms via C artier operators","venue":null,"work_id":"d73f4b39-e15f-4219-a56a-3b6ff2d12572","year":2022},"citing_paper":{"arxiv_id":"2604.14760","last_updated":"2026-04-16T08:21:41Z","snapshot_observed_at":"2026-07-06T23:02:27.141640Z","submitted_at":"2026-04-16T08:21:41Z","title":"Local vanishing for F-pure threefolds","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-10T09:52:27.141458Z"},"links":{"cited_paper":"/paper/2207.13967","citing_paper":"/paper/2604.14760"},"observation_digest":"sha256:d6eef278939cad29486c86a4fc63508a3ec15105232b2c8c69fe12151b38c391","observation_id":"12a86a8b-ce44-4e61-bfbd-71c74b59425a","resolution":{"observed_at":"2026-05-10T10:04:06.975300Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2207.13967/citation-record","integrity":"/paper/2207.13967/integrity","json":"/paper/2207.13967/citation-record.json","paper":"/paper/2207.13967"},"outbound":[],"paper":{"arxiv_id":"2207.13967","last_updated":"2023-10-25T06:37:53Z","latest_version":4,"primary_category":"math.AG","snapshot_observed_at":"2026-08-03T11:11:47.085293Z","submitted_at":"2022-07-28T09:13:35Z","title":"Extendability of differential forms via Cartier operators"},"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":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2207.13967."}