{"as_of":"2026-08-15T06:17:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:b7f329adfeb52f0b88eb785eacc278cfb6eed9417f2e1b4e8c9f9fbd311893dc","coverage":[{"denominator":19,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":19,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T19:54:05.956638Z","state":"measured"},{"denominator":22,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":22,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-14T06:32:32.682623+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":"2026-07-01T02:55:28.288514Z","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":"2026-07-01T12:05:43.147168Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_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},"cited_work":{"arxiv_id":"2507.04838","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2507.04838","snapshot_observed_at":"2026-07-01T12:05:43.147168Z","title":"Kawakami , On Steenbrink vanishing for rational singularities in positive characteristic , arXiv: 2507.04838","venue":null,"work_id":"592e9077-6ea7-406e-8e49-238d0e3fb382","year":2025},"citing_paper":{"arxiv_id":"2604.12362","last_updated":"2026-04-14T06:52:41Z","snapshot_observed_at":"2026-08-14T02:17:55.624215Z","submitted_at":"2026-04-14T06:52:41Z","title":"Higher F-rational singularities","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-10T15:24:32.948714Z"},"links":{"cited_paper":"/paper/2507.04838","citing_paper":"/paper/2604.12362"},"observation_digest":"sha256:221ebcc1fda11926994ca713aa12a2da3fe0539b52fadf398f44187255be479d","observation_id":"12bd9bb6-b085-4a57-8efa-fdb48aece382","resolution":{"observed_at":"2026-05-11T10:36:05.493208Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_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},"cited_work":{"arxiv_id":"2507.04838","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2507.04838","snapshot_observed_at":"2026-07-01T12:05:43.147168Z","title":"Kawakami , On Steenbrink vanishing for rational singularities in positive characteristic , arXiv: 2507.04838","venue":null,"work_id":"592e9077-6ea7-406e-8e49-238d0e3fb382","year":2025},"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":4,"source":"pdf_text","source_observed_at":"2026-05-10T09:52:27.141458Z"},"links":{"cited_paper":"/paper/2507.04838","citing_paper":"/paper/2604.14760"},"observation_digest":"sha256:c995d7581da02985b33e6df74619aaf74d7d3756650843a1e9166b494b73b86a","observation_id":"364352df-520f-41eb-ade1-e63be52fab02","resolution":{"observed_at":"2026-05-10T10:04:06.997291Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_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},"cited_work":{"arxiv_id":"2507.04838","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2507.04838","snapshot_observed_at":"2026-07-01T12:05:43.147168Z","title":"Kawakami , On Steenbrink vanishing for rational singularities in positive characteristic , arXiv: 2507.04838","venue":null,"work_id":"592e9077-6ea7-406e-8e49-238d0e3fb382","year":2025},"citing_paper":{"arxiv_id":"2606.31666","last_updated":"2026-06-30T13:46:05Z","snapshot_observed_at":"2026-08-15T04:20:17.940656Z","submitted_at":"2026-06-30T13:46:05Z","title":"Quasi-$F$-singularities and singularities in birational geometry","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-07-01T02:55:28.288514Z"},"links":{"cited_paper":"/paper/2507.04838","citing_paper":"/paper/2606.31666"},"observation_digest":"sha256:a6966485a8b89af431edcf7484726243de1b1f1940a4c7f4e1ba43539a25f797","observation_id":"582b3222-507c-4389-b3c7-9ee14e6b5c50","resolution":{"observed_at":"2026-07-01T12:05:43.149770Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2507.04838/citation-record","integrity":"/paper/2507.04838/integrity","json":"/paper/2507.04838/citation-record.json","paper":"/paper/2507.04838"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:54:03.987609Z","title":"On the K awamata- V iehweg vanishing theorem for log del P ezzo surfaces in positive characteristic","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":1,"source":"arxiv_source","source_observed_at":"2026-08-06T19:54:03.987609Z"},"links":{"citing_paper":"/paper/2507.04838"},"observation_digest":"sha256:6ca7b6f74a0214e6601fa30152cfafe6f495a599d3e8d866352dbd07152fb5ca","observation_id":"36d05efe-5710-4219-8158-64dc3b8d1c8b","resolution":{"observed_at":"2026-08-06T19:54:03.987609Z","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":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:54:07.774216Z","title":"Vanishing theorems for three-folds in characteristic p>5","venue":null,"work_id":"49662d03-8dc4-4e81-aa8c-d5ab847d5f82","year":2023},"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":2,"source":"arxiv_source","source_observed_at":"2026-08-06T19:54:04.094874Z"},"links":{"citing_paper":"/paper/2507.04838"},"observation_digest":"sha256:2a174ff462ca5cb5fdf77b341aa993489d07531fadc421728c6732eed5ffc2b1","observation_id":"afb6efa5-2a87-4b09-b210-7a7bef96e54f","resolution":{"observed_at":"2026-08-06T19:54:07.922839Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2506.21381","last_updated":"2025-06-26T15:32:21Z","snapshot_observed_at":"2026-08-10T11:54:33.421817Z","submitted_at":"2025-06-26T15:32:21Z","title":"On Grauert-Riemenschneider vanishing for Cohen-Macaulay schemes of klt type","version":1},"cited_work":{"arxiv_id":"2506.21381","doi":null,"metadata_source":"pith","pith_arxiv_id":"2506.21381","snapshot_observed_at":"2026-08-06T19:54:06.136995Z","title":"On Grauert-Riemenschneider vanishing for Cohen-Macaulay schemes of klt type","venue":"math.AG","work_id":"619be681-4ee3-44c4-8156-50cdb5942cbb","year":2025},"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":3,"source":"arxiv_source","source_observed_at":"2026-08-06T19:54:04.210517Z"},"links":{"cited_paper":"/paper/2506.21381","citing_paper":"/paper/2507.04838"},"observation_digest":"sha256:29bd2f01b8390fc57adb3970fcf120def130d115c578d65b72bad33f1d43ce89","observation_id":"31339b3a-630d-4483-9423-4d01f351da17","resolution":{"observed_at":"2026-08-06T19:54:06.197222Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:54:07.561771Z","title":"Higher direct images of the structure sheaf in positive characteristic","venue":null,"work_id":"33033999-ce39-4105-adbf-6ca9abc08e89","year":2011},"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":4,"source":"arxiv_source","source_observed_at":"2026-08-06T19:54:04.370720Z"},"links":{"citing_paper":"/paper/2507.04838"},"observation_digest":"sha256:ab7ef894a659a35c170b0e137932ee2140b82a20cf02b16d3fe037d1dc39bf6d","observation_id":"0045013d-c165-40f3-98db-2b0b13cc361e","resolution":{"observed_at":"2026-08-06T19:54:07.660844Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:54:07.307521Z","title":"Vanishing of the higher direct images of the structure sheaf","venue":null,"work_id":"9fa6cbcb-1eda-448c-9ca1-d0003d8971e7","year":2015},"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":5,"source":"arxiv_source","source_observed_at":"2026-08-06T19:54:04.477114Z"},"links":{"citing_paper":"/paper/2507.04838"},"observation_digest":"sha256:7ab2b255b3e74f7ec5348dbf66741fbda1d18e2f22bd843b9dc0ee6d46d093ed","observation_id":"b9c094c4-59a3-4efb-8017-5a31ce99ba92","resolution":{"observed_at":"2026-08-06T19:54:07.431475Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:54:04.615854Z","title":"Kov\\' a cs","venue":null,"work_id":null,"year":2010},"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":6,"source":"arxiv_source","source_observed_at":"2026-08-06T19:54:04.615854Z"},"links":{"citing_paper":"/paper/2507.04838"},"observation_digest":"sha256:0aefdaa13503d6f2e8a4fcee1f7d1ff4740df1e6298fed47dab67da323e3a8b9","observation_id":"2a8f0c32-a487-4800-81fd-2b22a84381be","resolution":{"observed_at":"2026-08-06T19:54:04.615854Z","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":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:54:04.715887Z","title":"Kov\\' a cs, and Thomas Peternell","venue":null,"work_id":null,"year":2011},"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":7,"source":"arxiv_source","source_observed_at":"2026-08-06T19:54:04.715887Z"},"links":{"citing_paper":"/paper/2507.04838"},"observation_digest":"sha256:6652ff805fc1d9d8e96c441057b6094970898cfe1680d2d8b051aeeefc4b06b3","observation_id":"759ebbdb-28a9-4da6-a960-df07ce48967d","resolution":{"observed_at":"2026-08-06T19:54:04.715887Z","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":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:54:04.809408Z","title":"A characterization of rational singularities in terms of injectivity of F robenius maps","venue":null,"work_id":null,"year":1998},"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":8,"source":"arxiv_source","source_observed_at":"2026-08-06T19:54:04.809408Z"},"links":{"citing_paper":"/paper/2507.04838"},"observation_digest":"sha256:6cdeb208c80620c73702f61a2cc45eebcb61283e026c47a39867cf72da9968cd","observation_id":"af69ae48-b2a2-447e-9663-b7d18d81ad32","resolution":{"observed_at":"2026-08-06T19:54:04.809408Z","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":"2026-08-13T14:55:09.186122Z","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":"sha256:7436b457a0fd91904b4e7b05f27ab5748661ead7ea749d82c7de6b09c702c8fb","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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:54:07.016307Z","title":"Steenbrink-type vanishing for surfaces in positive characteristic","venue":null,"work_id":"f992d550-7cc3-471b-a94c-82b0a1441fe0","year":2024},"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":10,"source":"arxiv_source","source_observed_at":"2026-08-06T19:54:04.978538Z"},"links":{"citing_paper":"/paper/2507.04838"},"observation_digest":"sha256:642a7b0c4487d3eeaaed207b77b9d305ad112a369ee2b57efd605ae58712cf47","observation_id":"38f5f2c1-8b86-47e4-8bef-10c7727a0807","resolution":{"observed_at":"2026-08-06T19:54:07.144558Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:54:06.805622Z","title":"Kov\\'acs","venue":null,"work_id":"fc75bda3-9b2a-44c5-a50b-3079f3bcba48","year":2014},"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":11,"source":"arxiv_source","source_observed_at":"2026-08-06T19:54:05.099068Z"},"links":{"citing_paper":"/paper/2507.04838"},"observation_digest":"sha256:e41c279994a7d092ce55a9d27afd38eef6762de4a1f28e47970842cf2c8bf4fa","observation_id":"9c664717-a2a9-4bad-968e-f6e13aacb4b4","resolution":{"observed_at":"2026-08-06T19:54:06.906008Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2502.17148","last_updated":"2026-04-05T07:42:03Z","snapshot_observed_at":"2026-08-13T12:49:45.687039Z","submitted_at":"2025-02-24T13:39:13Z","title":"Extending one-forms on $F$-regular singularities","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2502.17148","snapshot_observed_at":"2026-08-06T19:54:05.196558Z","title":"Extending one-forms on F -regular singularities","venue":null,"work_id":null,"year":2025},"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":12,"source":"arxiv_source","source_observed_at":"2026-08-06T19:54:05.196558Z"},"links":{"cited_paper":"/paper/2502.17148","citing_paper":"/paper/2507.04838"},"observation_digest":"sha256:a50ee07f96ce3adcdf0aff8a6b09b1441ef441b95c665a0b15febe16b087dbdf","observation_id":"8ba14b1e-6108-43bc-aea6-6ca238090abd","resolution":{"observed_at":"2026-08-06T19:54:05.196558Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2208.08016","last_updated":"2024-10-03T13:19:22Z","snapshot_observed_at":"2026-08-15T01:16:46.175177Z","submitted_at":"2022-08-17T01:46:47Z","title":"Quasi-F-splittings in birational geometry","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2208.08016","snapshot_observed_at":"2026-08-06T19:54:05.335262Z","title":"Quasi- F -splittings in birational geometry","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":13,"source":"arxiv_source","source_observed_at":"2026-08-06T19:54:05.335262Z"},"links":{"cited_paper":"/paper/2208.08016","citing_paper":"/paper/2507.04838"},"observation_digest":"sha256:37ea012a774fdef380034ec381fc374067d3841f9c195e1554ea6db05badaeda","observation_id":"6e920d2e-b7ef-410e-a933-773dcd5e923f","resolution":{"observed_at":"2026-08-06T19:54:05.335262Z","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":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:54:05.445942Z","title":"Quasi- F -splittings in birational geometry II","venue":null,"work_id":null,"year":2024},"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":14,"source":"arxiv_source","source_observed_at":"2026-08-06T19:54:05.445942Z"},"links":{"citing_paper":"/paper/2507.04838"},"observation_digest":"sha256:8792bb6a932add5b0576892984e3d5c1d8337851e0c805a167f22a48c9ccc0f2","observation_id":"6732c859-988d-443b-9464-26eb34accade","resolution":{"observed_at":"2026-08-06T19:54:05.445942Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.08887","last_updated":"2024-12-12T02:50:37Z","snapshot_observed_at":"2026-08-15T02:00:16.250850Z","submitted_at":"2024-12-12T02:50:37Z","title":"Higher F-injective singularities","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.08887","snapshot_observed_at":"2026-08-06T19:54:05.563602Z","title":"Higher F -injective singularities","venue":null,"work_id":null,"year":2024},"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":15,"source":"arxiv_source","source_observed_at":"2026-08-06T19:54:05.563602Z"},"links":{"cited_paper":"/paper/2412.08887","citing_paper":"/paper/2507.04838"},"observation_digest":"sha256:c18ec5f5c039382b6024876434f852c3c95c060663afc3e281b4e49ab6ecd490","observation_id":"99dd1425-3997-49e9-9df0-8b9088b1f15a","resolution":{"observed_at":"2026-08-06T19:54:05.563602Z","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":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:54:06.571928Z","title":"Resolution and alteration with ample exceptional divisor","venue":null,"work_id":"eb3dfa6b-0100-41b5-8b17-8f9de916c613","year":2024},"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":16,"source":"arxiv_source","source_observed_at":"2026-08-06T19:54:05.654445Z"},"links":{"citing_paper":"/paper/2507.04838"},"observation_digest":"sha256:9104ec24627aaccb13ec497f460afa00aad41a0507fa02f72fe16d852fe4e01b","observation_id":"3855eb9f-e0da-4b00-af0a-407cf926b64e","resolution":{"observed_at":"2026-08-06T19:54:06.663119Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:54:05.758148Z","title":"Counterexamples to K odaira's vanishing and Y au's inequality in positive characteristics","venue":null,"work_id":null,"year":2013},"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":17,"source":"arxiv_source","source_observed_at":"2026-08-06T19:54:05.758148Z"},"links":{"citing_paper":"/paper/2507.04838"},"observation_digest":"sha256:8138b90c29af67d714b102e7e6b9e13db572945821c803b21650b91f62939c39","observation_id":"d69b170f-b9b3-4184-b66f-f9d4e211f746","resolution":{"observed_at":"2026-08-06T19:54:05.758148Z","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":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:54:05.840322Z","title":"The S tacks P roject","venue":null,"work_id":null,"year":2025},"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":18,"source":"arxiv_source","source_observed_at":"2026-08-06T19:54:05.840322Z"},"links":{"citing_paper":"/paper/2507.04838"},"observation_digest":"sha256:d8d37799a89f269488a96dede93f82fddf31c78e7905d56dbd43ea5612963593","observation_id":"1ca3d73f-d330-4005-a2cc-d5c3e796c48b","resolution":{"observed_at":"2026-08-06T19:54:05.840322Z","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":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:54:06.309528Z","title":null,"venue":null,"work_id":"da05e527-bf7e-441a-93c0-83c81e41bf6a","year":1985},"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":19,"source":"arxiv_source","source_observed_at":"2026-08-06T19:54:05.956638Z"},"links":{"citing_paper":"/paper/2507.04838"},"observation_digest":"sha256:30874e8bf168227b281d8623beb4d6a08417a5c6934bc356f7994f5e7ad59a23","observation_id":"f8990b82-d286-45d4-8848-766a44e7aa57","resolution":{"observed_at":"2026-08-06T19:54:06.449193Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2507.04838","last_updated":"2025-07-07T10:00:35Z","latest_version":1,"primary_category":"math.AG","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"},"reference_resolution":{"displayed":19,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":12,"verified_exact":1,"verified_fuzzy":6},"total_outbound_references":19},"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":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 15 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 3 inbound Pith citation observations for arXiv:2507.04838."}