{"as_of":"2026-08-11T08:26:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:85dc3695c81d9c7183d2a8020272c6d31cb09bdee7f6c4fa4755ac7bd72c10ba","coverage":[{"denominator":40,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":40,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T17:42:48.435555Z","state":"measured"},{"denominator":40,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":40,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"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":[],"links":{"evidence":"/evidence","html":"/paper/2501.12041/citation-record","integrity":"/paper/2501.12041/integrity","json":"/paper/2501.12041/citation-record.json","paper":"/paper/2501.12041"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2111.00423","last_updated":"2022-03-02T15:12:44Z","snapshot_observed_at":"2026-07-06T12:03:52.320529Z","submitted_at":"2021-10-31T07:55:36Z","title":"Positivity of the Moduli Part","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2111.00423","snapshot_observed_at":"2026-08-10T17:42:48.222546Z","title":"Positivity of the Moduli Part","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2501.12041","last_updated":"2025-03-07T10:19:17Z","snapshot_observed_at":"2026-08-10T17:31:43.195030Z","submitted_at":"2025-01-21T11:02:36Z","title":"On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$","version":3},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-10T17:42:48.222546Z"},"links":{"cited_paper":"/paper/2111.00423","citing_paper":"/paper/2501.12041"},"observation_digest":"sha256:75e13876433490416a0c121f4a01c66c51d558e7df67fd9959fe1f811782758e","observation_id":"881a162c-a3ac-47ed-bef0-e4217597298f","resolution":{"observed_at":"2026-08-10T17:42:48.222546Z","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":"2026-08-10T17:42:49.220752Z","title":"Boundedness and K^2 for log surfaces","venue":null,"work_id":"567738d8-9d95-4025-822c-08ea45684b6a","year":1994},"citing_paper":{"arxiv_id":"2501.12041","last_updated":"2025-03-07T10:19:17Z","snapshot_observed_at":"2026-08-10T17:31:43.195030Z","submitted_at":"2025-01-21T11:02:36Z","title":"On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$","version":3},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-10T17:42:48.229304Z"},"links":{"citing_paper":"/paper/2501.12041"},"observation_digest":"sha256:9410ef4b2b0d949dd5991c19f8df59f7fb7aca7eaca0a8ad33dfdaf24119f3b7","observation_id":"4089f2de-fabe-4a15-827c-f1198a444a7e","resolution":{"observed_at":"2026-08-10T17:42:49.225056Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T17:42:49.207169Z","title":"The moduli b-divisor of an lc-trivial fibration","venue":null,"work_id":"a3ff405d-a1a5-4267-a108-28d0466d0c5a","year":2005},"citing_paper":{"arxiv_id":"2501.12041","last_updated":"2025-03-07T10:19:17Z","snapshot_observed_at":"2026-08-10T17:31:43.195030Z","submitted_at":"2025-01-21T11:02:36Z","title":"On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$","version":3},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-10T17:42:48.233842Z"},"links":{"citing_paper":"/paper/2501.12041"},"observation_digest":"sha256:b78abd4e00154e0016341d955ff19f6b73411eeffa2ce7c64e3e0bbb7cc7c077","observation_id":"35441a0e-21a3-4f43-a665-9dd93d8a3c5f","resolution":{"observed_at":"2026-08-10T17:42:49.211984Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T17:42:49.194905Z","title":"Singular toric Fano varieties","venue":null,"work_id":"9e4ca072-c0f4-4d97-9312-1105e9df6454","year":1993},"citing_paper":{"arxiv_id":"2501.12041","last_updated":"2025-03-07T10:19:17Z","snapshot_observed_at":"2026-08-10T17:31:43.195030Z","submitted_at":"2025-01-21T11:02:36Z","title":"On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$","version":3},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-10T17:42:48.244386Z"},"links":{"citing_paper":"/paper/2501.12041"},"observation_digest":"sha256:aa9e0453e352318d2cc4b729dc0c63655fba9c08d27bf76e025377ae5359fd93","observation_id":"c47c6b7f-92c2-4fd8-8f79-1723abed8f75","resolution":{"observed_at":"2026-08-10T17:42:49.199003Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T17:42:49.181460Z","title":"Existence of M inimal M odels for V arieties of L og G eneral T ype","venue":null,"work_id":"4ddf104a-ff72-46be-b7ea-88d9e9e13362","year":2010},"citing_paper":{"arxiv_id":"2501.12041","last_updated":"2025-03-07T10:19:17Z","snapshot_observed_at":"2026-08-10T17:31:43.195030Z","submitted_at":"2025-01-21T11:02:36Z","title":"On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$","version":3},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-10T17:42:48.252697Z"},"links":{"citing_paper":"/paper/2501.12041"},"observation_digest":"sha256:fad857418e6f7e2154f9322c80b9148ca98495d2ae89c41012b638cff5f3e488","observation_id":"ac6ddcfb-2d58-474f-b488-1354171f0a57","resolution":{"observed_at":"2026-08-10T17:42:49.186068Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T17:42:49.168288Z","title":"Étale Fundamental Groups of Strongly F-Regular Schemes","venue":null,"work_id":"d993c8fd-15d0-4418-acf5-6887678a601d","year":2019},"citing_paper":{"arxiv_id":"2501.12041","last_updated":"2025-03-07T10:19:17Z","snapshot_observed_at":"2026-08-10T17:31:43.195030Z","submitted_at":"2025-01-21T11:02:36Z","title":"On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$","version":3},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-10T17:42:48.258288Z"},"links":{"citing_paper":"/paper/2501.12041"},"observation_digest":"sha256:5a6deb9629bc0d812990c245d1f5f6b33db2738ae7db657a59c866e1edcf3b96","observation_id":"635b599e-4ea3-4c3b-a7b6-15dd7ec6f298","resolution":{"observed_at":"2026-08-10T17:42:49.172781Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"2305.19841","last_updated":"2026-05-22T14:32:17Z","snapshot_observed_at":"2026-07-06T15:35:56.503371Z","submitted_at":"2023-05-31T13:30:45Z","title":"On the canonical bundle formula in positive characteristic","version":3},"cited_work":{"arxiv_id":"2305.19841","doi":null,"metadata_source":"pith","pith_arxiv_id":"2305.19841","snapshot_observed_at":"2026-08-10T17:42:48.606006Z","title":"On the canonical bundle formula in positive characteristic","venue":"math.AG","work_id":"f200fdf0-1cbc-437a-aeb6-d76350be170b","year":2023},"citing_paper":{"arxiv_id":"2501.12041","last_updated":"2025-03-07T10:19:17Z","snapshot_observed_at":"2026-08-10T17:31:43.195030Z","submitted_at":"2025-01-21T11:02:36Z","title":"On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$","version":3},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-10T17:42:48.264736Z"},"links":{"cited_paper":"/paper/2305.19841","citing_paper":"/paper/2501.12041"},"observation_digest":"sha256:0dc1a21f9f3d40ceaacd1e2328f6fc5bd51634276bbd49eb93262da4652a9fa3","observation_id":"691cf846-3ca9-4e40-b5bf-bf157595a042","resolution":{"observed_at":"2026-08-10T17:42:48.612270Z","resolver_source":"local_arxiv","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":"1311.3098","last_updated":"2014-10-16T17:48:12Z","snapshot_observed_at":"2026-08-01T04:39:10.808932Z","submitted_at":"2013-11-13T12:05:09Z","title":"Existence of flips and minimal models for 3-folds in char p","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1311.3098","snapshot_observed_at":"2026-08-10T17:42:48.269836Z","title":"Existence of flips and minimal models for 3-folds in char p","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2501.12041","last_updated":"2025-03-07T10:19:17Z","snapshot_observed_at":"2026-08-10T17:31:43.195030Z","submitted_at":"2025-01-21T11:02:36Z","title":"On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$","version":3},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-10T17:42:48.269836Z"},"links":{"cited_paper":"/paper/1311.3098","citing_paper":"/paper/2501.12041"},"observation_digest":"sha256:3fec77198b372d1ef72cc2dcdf46a06c16cc4a486dc4938340f97e6a432bd2a9","observation_id":"c163b067-4161-4c5c-b793-d05ff68662de","resolution":{"observed_at":"2026-08-10T17:42:48.269836Z","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":"2026-08-10T17:42:49.155103Z","title":"Anti-pluricanonical systems on Fano varieties","venue":null,"work_id":"ba2fd24c-fdbf-4ae2-bfa3-f9c564dbb57d","year":2019},"citing_paper":{"arxiv_id":"2501.12041","last_updated":"2025-03-07T10:19:17Z","snapshot_observed_at":"2026-08-10T17:31:43.195030Z","submitted_at":"2025-01-21T11:02:36Z","title":"On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$","version":3},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-10T17:42:48.276515Z"},"links":{"citing_paper":"/paper/2501.12041"},"observation_digest":"sha256:b686529ed8265ad98d0f04e509735493b87635d0500fa747bcc0a6587607fe31","observation_id":"fb1f8836-71ff-4d5d-b51b-c58b6b5a4aea","resolution":{"observed_at":"2026-08-10T17:42:49.159457Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T17:42:49.140826Z","title":"Singularities of linear systems and boundedness of F ano varieties","venue":null,"work_id":"668db2c1-76fa-432e-8dac-7c5d3128c759","year":2021},"citing_paper":{"arxiv_id":"2501.12041","last_updated":"2025-03-07T10:19:17Z","snapshot_observed_at":"2026-08-10T17:31:43.195030Z","submitted_at":"2025-01-21T11:02:36Z","title":"On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$","version":3},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-10T17:42:48.282529Z"},"links":{"citing_paper":"/paper/2501.12041"},"observation_digest":"sha256:4b6a99bd1f084ddd9b4cb5da6a36a13f1310a2e3f0f0be7d95ab3060826753d5","observation_id":"32aba911-be98-4fc6-8ad8-f495bb33d48e","resolution":{"observed_at":"2026-08-10T17:42:49.145260Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T17:42:49.128077Z","title":"Bounding geometrically integral del Pezzo surfaces","venue":null,"work_id":"f7bc1e70-cfed-4121-82a9-23c77c6adf86","year":2024},"citing_paper":{"arxiv_id":"2501.12041","last_updated":"2025-03-07T10:19:17Z","snapshot_observed_at":"2026-08-10T17:31:43.195030Z","submitted_at":"2025-01-21T11:02:36Z","title":"On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$","version":3},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-10T17:42:48.287762Z"},"links":{"citing_paper":"/paper/2501.12041"},"observation_digest":"sha256:e815c897642e7d7882a47e340776f1c0b5947bf34f7b75ecec5b13e89590301f","observation_id":"c92aaa93-2639-4f8c-850d-b04f7e9c5ff3","resolution":{"observed_at":"2026-08-10T17:42:49.132619Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"1107.3807","last_updated":"2014-05-05T15:42:50Z","snapshot_observed_at":"2026-07-06T02:31:07.612535Z","submitted_at":"2011-07-19T19:09:14Z","title":"F-singularities via alterations","version":4},"cited_work":{"arxiv_id":"1107.3807","doi":null,"metadata_source":"pith","pith_arxiv_id":"1107.3807","snapshot_observed_at":"2026-08-10T17:42:48.555612Z","title":"F-singularities via alterations","venue":"math.AG","work_id":"2e152f20-4c2a-46d0-813a-397e6a4345a2","year":2011},"citing_paper":{"arxiv_id":"2501.12041","last_updated":"2025-03-07T10:19:17Z","snapshot_observed_at":"2026-08-10T17:31:43.195030Z","submitted_at":"2025-01-21T11:02:36Z","title":"On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$","version":3},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-10T17:42:48.292350Z"},"links":{"cited_paper":"/paper/1107.3807","citing_paper":"/paper/2501.12041"},"observation_digest":"sha256:a3cc4987460f5e61ecb0421efcd577b797dc95c01c97ecac42fd0bff6919ec2e","observation_id":"c3f80c15-cc47-4c23-98d6-d822af8ed9d6","resolution":{"observed_at":"2026-08-10T17:42:48.560717Z","resolver_source":"local_arxiv","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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T17:42:49.116001Z","title":"Existence of Mori fibre spaces for 3-folds in char p","venue":null,"work_id":"ddfaf560-0e02-44b4-9716-a02e5edd08ec","year":2017},"citing_paper":{"arxiv_id":"2501.12041","last_updated":"2025-03-07T10:19:17Z","snapshot_observed_at":"2026-08-10T17:31:43.195030Z","submitted_at":"2025-01-21T11:02:36Z","title":"On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$","version":3},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-10T17:42:48.296933Z"},"links":{"citing_paper":"/paper/2501.12041"},"observation_digest":"sha256:177cb38f6469641e3b3e42fefe153ad771c0fad758ced71e187e0a697f91e221","observation_id":"e178570a-9116-4d2d-810a-939aa2493edc","resolution":{"observed_at":"2026-08-10T17:42:49.120303Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"2309.15823","last_updated":"2026-05-28T13:25:57Z","snapshot_observed_at":"2026-08-10T06:45:18.895128Z","submitted_at":"2023-09-27T17:47:05Z","title":"Minimal model program for algebraically integrable foliations and generalized pairs","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2309.15823","snapshot_observed_at":"2026-08-10T17:42:48.302282Z","title":"Minimal model program for algebraically integrable foliations and generalized pairs","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2501.12041","last_updated":"2025-03-07T10:19:17Z","snapshot_observed_at":"2026-08-10T17:31:43.195030Z","submitted_at":"2025-01-21T11:02:36Z","title":"On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$","version":3},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-10T17:42:48.302282Z"},"links":{"cited_paper":"/paper/2309.15823","citing_paper":"/paper/2501.12041"},"observation_digest":"sha256:e496f73294772702aec1f699f2d90fc62303dbbc46cd7a9eaee5d7b9cf0a4f49","observation_id":"fa72ccdb-2674-4237-8239-b9bfc477bd6e","resolution":{"observed_at":"2026-08-10T17:42:48.302282Z","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":"2026-08-10T17:42:49.103330Z","title":"Resolution of singularities of threefolds in positive characteristic","venue":null,"work_id":"07a4ce5d-eee4-4ddf-aab8-7d5ce82c444e","year":2008},"citing_paper":{"arxiv_id":"2501.12041","last_updated":"2025-03-07T10:19:17Z","snapshot_observed_at":"2026-08-10T17:31:43.195030Z","submitted_at":"2025-01-21T11:02:36Z","title":"On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$","version":3},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-10T17:42:48.307639Z"},"links":{"citing_paper":"/paper/2501.12041"},"observation_digest":"sha256:3520d8fe12435275d9e0046727da689d8ae087de32a3a0ad0406d58df521ae8c","observation_id":"6d2c2f83-97e3-41ca-9a1e-8cc5dcd77a6b","resolution":{"observed_at":"2026-08-10T17:42:49.107905Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T17:42:49.090101Z","title":"Resolution of singularities of threefolds in positive characteristic","venue":null,"work_id":"7faa19ab-8edd-45a0-b4d6-51d25b6a86ab","year":1976},"citing_paper":{"arxiv_id":"2501.12041","last_updated":"2025-03-07T10:19:17Z","snapshot_observed_at":"2026-08-10T17:31:43.195030Z","submitted_at":"2025-01-21T11:02:36Z","title":"On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$","version":3},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-10T17:42:48.312463Z"},"links":{"citing_paper":"/paper/2501.12041"},"observation_digest":"sha256:aa767f8e8dcd09cd79343a81feebe86c8fde291c7994f17afd6460f7d0e9dc7e","observation_id":"36ef7564-8327-40d0-886a-08926fbbf1c0","resolution":{"observed_at":"2026-08-10T17:42:49.094574Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T17:42:49.077561Z","title":"Resolution of Singularities","venue":null,"work_id":"aaa37801-c18f-49ea-87f2-c272c202dc78","year":2004},"citing_paper":{"arxiv_id":"2501.12041","last_updated":"2025-03-07T10:19:17Z","snapshot_observed_at":"2026-08-10T17:31:43.195030Z","submitted_at":"2025-01-21T11:02:36Z","title":"On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$","version":3},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-10T17:42:48.318383Z"},"links":{"citing_paper":"/paper/2501.12041"},"observation_digest":"sha256:c946fdb19a54837d803d1755e5e719e8d0f274cff2455009d7a514bb603b33cc","observation_id":"95a2de73-d29a-4f02-849a-b104a4d0f47c","resolution":{"observed_at":"2026-08-10T17:42:49.081894Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T17:42:49.063018Z","title":"On the Boundedness of Anti-Canonical Volumes of Singular Fano3-Folds in Characteristic p> 5","venue":null,"work_id":"b533d482-7db7-48fe-9fc7-75c571f8a378","year":2021},"citing_paper":{"arxiv_id":"2501.12041","last_updated":"2025-03-07T10:19:17Z","snapshot_observed_at":"2026-08-10T17:31:43.195030Z","submitted_at":"2025-01-21T11:02:36Z","title":"On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$","version":3},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-10T17:42:48.322940Z"},"links":{"citing_paper":"/paper/2501.12041"},"observation_digest":"sha256:efccd34675be2033645ff9ccac914b9b81d90939b544d99901d382049dec392d","observation_id":"98d7ab3f-fcec-4aa6-ae81-7cf880a08859","resolution":{"observed_at":"2026-08-10T17:42:49.067329Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T17:42:49.048550Z","title":null,"venue":null,"work_id":"9b93913e-42ec-4cdf-b47c-82a038dd1d25","year":2016},"citing_paper":{"arxiv_id":"2501.12041","last_updated":"2025-03-07T10:19:17Z","snapshot_observed_at":"2026-08-10T17:31:43.195030Z","submitted_at":"2025-01-21T11:02:36Z","title":"On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$","version":3},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-10T17:42:48.327405Z"},"links":{"citing_paper":"/paper/2501.12041"},"observation_digest":"sha256:1a41bf5c62619a805f4bd2257ecbd9c30d6cfe2b062f4dd0e7af9c220398495c","observation_id":"fc175cf6-b19e-4900-9474-ee658f0af32c","resolution":{"observed_at":"2026-08-10T17:42:49.053815Z","resolver_source":"raw_fallback","status":"unresolved"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T17:42:49.032946Z","title":"On semi-ampleness of the moduli part, 12 2022","venue":null,"work_id":"bcae7394-1f74-411e-b2ee-54ecf49c1343","year":2022},"citing_paper":{"arxiv_id":"2501.12041","last_updated":"2025-03-07T10:19:17Z","snapshot_observed_at":"2026-08-10T17:31:43.195030Z","submitted_at":"2025-01-21T11:02:36Z","title":"On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$","version":3},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-10T17:42:48.332629Z"},"links":{"citing_paper":"/paper/2501.12041"},"observation_digest":"sha256:9fd4bf3eeb8acfaadacf0d692647c7389b6ea6d86df1c91cff26a3cd85b149d2","observation_id":"bbdc3931-a820-40a1-8d1b-60eae4857716","resolution":{"observed_at":"2026-08-10T17:42:49.039528Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T17:42:49.015218Z","title":"\\'El\\'ements de g\\'eom\\'etrie alg\\'ebrique : IV","venue":null,"work_id":"d15b5808-4552-4bf5-9aad-56daf45445e3","year":1967},"citing_paper":{"arxiv_id":"2501.12041","last_updated":"2025-03-07T10:19:17Z","snapshot_observed_at":"2026-08-10T17:31:43.195030Z","submitted_at":"2025-01-21T11:02:36Z","title":"On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$","version":3},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-10T17:42:48.337039Z"},"links":{"citing_paper":"/paper/2501.12041"},"observation_digest":"sha256:4f35bf7ff3d54a604de2df33becc9f6b91a52be221c96e113a9a1b49324ac1b1","observation_id":"48bddbea-1029-4d5d-993f-60fd093a0e96","resolution":{"observed_at":"2026-08-10T17:42:49.020062Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T17:42:48.999397Z","title":"Hacon, James McKernan, and Chenyang Xu","venue":null,"work_id":"f5c1d862-7318-48d2-8f93-510a35dc2ff9","year":2013},"citing_paper":{"arxiv_id":"2501.12041","last_updated":"2025-03-07T10:19:17Z","snapshot_observed_at":"2026-08-10T17:31:43.195030Z","submitted_at":"2025-01-21T11:02:36Z","title":"On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$","version":3},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-10T17:42:48.341522Z"},"links":{"citing_paper":"/paper/2501.12041"},"observation_digest":"sha256:94df0f208328120998bb95a95ab3e275bada7a2f77d1d53314a377bfcdaa6567","observation_id":"8cd44aa6-c0bd-480b-a6c0-b9f7e5c7f8f2","resolution":{"observed_at":"2026-08-10T17:42:49.004388Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T17:42:48.982067Z","title":"Hacon, James McKernan, and Chenyang Xu","venue":null,"work_id":"a766f119-59fb-475d-bd43-6aaace4baec9","year":2014},"citing_paper":{"arxiv_id":"2501.12041","last_updated":"2025-03-07T10:19:17Z","snapshot_observed_at":"2026-08-10T17:31:43.195030Z","submitted_at":"2025-01-21T11:02:36Z","title":"On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$","version":3},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-10T17:42:48.346199Z"},"links":{"citing_paper":"/paper/2501.12041"},"observation_digest":"sha256:b79a8061a33732ff726f253ccd1b8215e375d49feed52607316742c7c6024d65","observation_id":"8b72cd7e-f15d-4de7-8d7e-fe4126377597","resolution":{"observed_at":"2026-08-10T17:42:48.987308Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T17:42:48.964385Z","title":"Foundations of tight closure theory, 2022","venue":null,"work_id":"eb7e7a1a-6d71-477a-813f-01d9a40ae5d6","year":2022},"citing_paper":{"arxiv_id":"2501.12041","last_updated":"2025-03-07T10:19:17Z","snapshot_observed_at":"2026-08-10T17:31:43.195030Z","submitted_at":"2025-01-21T11:02:36Z","title":"On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$","version":3},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-10T17:42:48.351785Z"},"links":{"citing_paper":"/paper/2501.12041"},"observation_digest":"sha256:69885e53df59faa6c2bbea481d6c3ad3bc217cb1339d35d5165a943c05f9bd9a","observation_id":"1e8685b2-3150-4d35-9398-f5614bfc4c0c","resolution":{"observed_at":"2026-08-10T17:42:48.971962Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T17:42:48.946814Z","title":"F-regular and F-pure rings vs","venue":null,"work_id":"cdad53c1-f21f-4c78-9ed1-cfd440a61671","year":2000},"citing_paper":{"arxiv_id":"2501.12041","last_updated":"2025-03-07T10:19:17Z","snapshot_observed_at":"2026-08-10T17:31:43.195030Z","submitted_at":"2025-01-21T11:02:36Z","title":"On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$","version":3},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-10T17:42:48.357653Z"},"links":{"citing_paper":"/paper/2501.12041"},"observation_digest":"sha256:f16137940b477afc87e9f4b84b341f80b92d8656d8c44b218e520d4eab49ad34","observation_id":"bb7bb326-c474-4451-853b-645a9097e5a4","resolution":{"observed_at":"2026-08-10T17:42:48.952128Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T17:42:48.919051Z","title":"Hacon and Chenyang Xu","venue":null,"work_id":"1cfb4ec3-9f47-4e1d-99aa-0517480c3ee2","year":2015},"citing_paper":{"arxiv_id":"2501.12041","last_updated":"2025-03-07T10:19:17Z","snapshot_observed_at":"2026-08-10T17:31:43.195030Z","submitted_at":"2025-01-21T11:02:36Z","title":"On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$","version":3},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-10T17:42:48.363166Z"},"links":{"citing_paper":"/paper/2501.12041"},"observation_digest":"sha256:a507bbc4ca45f8dc7672a60cbd5bd20b482dc7ac09a31fbb42a1e24decb256cd","observation_id":"8a9e6daa-d6f6-4d10-a512-0bfa168b620b","resolution":{"observed_at":"2026-08-10T17:42:48.926460Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"2202.11256","last_updated":"2022-02-24T10:48:32Z","snapshot_observed_at":"2026-08-07T08:09:21.477165Z","submitted_at":"2022-02-23T01:18:21Z","title":"On generalized lc pairs with $\\mathrm{\\textbf b}$-log abundant nef part","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2202.11256","snapshot_observed_at":"2026-08-10T17:42:48.370821Z","title":"On generalized lc pairs with b -log abundant nef part","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2501.12041","last_updated":"2025-03-07T10:19:17Z","snapshot_observed_at":"2026-08-10T17:31:43.195030Z","submitted_at":"2025-01-21T11:02:36Z","title":"On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$","version":3},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-10T17:42:48.370821Z"},"links":{"cited_paper":"/paper/2202.11256","citing_paper":"/paper/2501.12041"},"observation_digest":"sha256:005425ffc81084d7c9c5c77ed25ba261cba85074fd04f95b22e1f55ea86ee250","observation_id":"1076e69f-f829-4920-9440-bf73adc47c09","resolution":{"observed_at":"2026-08-10T17:42:48.370821Z","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":"2026-08-10T17:42:48.896273Z","title":"Subadjunction of log canonical divisors, ii","venue":null,"work_id":"9c8bb1cc-6556-4e87-9b14-59c2cc4adeb5","year":1998},"citing_paper":{"arxiv_id":"2501.12041","last_updated":"2025-03-07T10:19:17Z","snapshot_observed_at":"2026-08-10T17:31:43.195030Z","submitted_at":"2025-01-21T11:02:36Z","title":"On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$","version":3},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-10T17:42:48.377580Z"},"links":{"citing_paper":"/paper/2501.12041"},"observation_digest":"sha256:9924bb398c4c7713f160e97aef5aea88b1f98bcd3fe557fb45944c6a4ed6d20c","observation_id":"39de2dff-b1fd-4c4d-8d3c-70d2117d0d83","resolution":{"observed_at":"2026-08-10T17:42:48.908243Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T17:42:48.876614Z","title":"Characterizations of Regular Local Rings of Characteristic p","venue":null,"work_id":"dc38cb4f-90c0-4dfc-b877-d6adc85daf0c","year":1969},"citing_paper":{"arxiv_id":"2501.12041","last_updated":"2025-03-07T10:19:17Z","snapshot_observed_at":"2026-08-10T17:31:43.195030Z","submitted_at":"2025-01-21T11:02:36Z","title":"On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$","version":3},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-10T17:42:48.382954Z"},"links":{"citing_paper":"/paper/2501.12041"},"observation_digest":"sha256:657f68b5f156f56fd8e9b7ad1a7e53779a86b5f43fd74d76134102060e0d32e6","observation_id":"11f03e6c-1975-4220-8812-11a36ca1b2aa","resolution":{"observed_at":"2026-08-10T17:42:48.883095Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"1305.1646","last_updated":"2017-10-03T02:34:21Z","snapshot_observed_at":"2026-07-06T03:12:54.302471Z","submitted_at":"2013-05-07T21:07:25Z","title":"F-singularities in families","version":3},"cited_work":{"arxiv_id":"1305.1646","doi":null,"metadata_source":"pith","pith_arxiv_id":"1305.1646","snapshot_observed_at":"2026-08-10T17:42:48.502556Z","title":"F-singularities in families","venue":"math.AG","work_id":"6419927e-a895-4d40-9152-b6311c3e851b","year":2013},"citing_paper":{"arxiv_id":"2501.12041","last_updated":"2025-03-07T10:19:17Z","snapshot_observed_at":"2026-08-10T17:31:43.195030Z","submitted_at":"2025-01-21T11:02:36Z","title":"On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$","version":3},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-10T17:42:48.389654Z"},"links":{"cited_paper":"/paper/1305.1646","citing_paper":"/paper/2501.12041"},"observation_digest":"sha256:a9411e047c811ccabc2abbc15f8222682e00f3c0461aef795cf4849c7b80297a","observation_id":"dd656a6f-d5a4-44fd-88a7-da31739d13a6","resolution":{"observed_at":"2026-08-10T17:42:48.508306Z","resolver_source":"local_arxiv","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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T17:42:48.853349Z","title":"Singularities of general fibers and the LMMP","venue":null,"work_id":"98b98b24-1a4f-4c2e-8647-94d4395e5dd6","year":2017},"citing_paper":{"arxiv_id":"2501.12041","last_updated":"2025-03-07T10:19:17Z","snapshot_observed_at":"2026-08-10T17:31:43.195030Z","submitted_at":"2025-01-21T11:02:36Z","title":"On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$","version":3},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-10T17:42:48.395370Z"},"links":{"citing_paper":"/paper/2501.12041"},"observation_digest":"sha256:252e50141cfec884e94a792f87d6c0a3b005e7bef6d219299a345eef9fe885f5","observation_id":"2feca92f-acdc-4dc5-80f0-b9d949cfcebf","resolution":{"observed_at":"2026-08-10T17:42:48.859893Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"2403.02596","last_updated":"2024-03-05T02:19:48Z","snapshot_observed_at":"2026-07-06T17:39:37.064843Z","submitted_at":"2024-03-05T02:19:48Z","title":"Boundedness of weak Fano threefolds with fixed Gorenstein index in positive characteristic","version":1},"cited_work":{"arxiv_id":"2403.02596","doi":null,"metadata_source":"pith","pith_arxiv_id":"2403.02596","snapshot_observed_at":"2026-08-10T17:42:48.478574Z","title":"Boundedness of weak Fano threefolds with fixed Gorenstein index in positive characteristic","venue":"math.AG","work_id":"46e4ec68-79a0-4cf6-875e-d52b771aeede","year":2024},"citing_paper":{"arxiv_id":"2501.12041","last_updated":"2025-03-07T10:19:17Z","snapshot_observed_at":"2026-08-10T17:31:43.195030Z","submitted_at":"2025-01-21T11:02:36Z","title":"On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$","version":3},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-10T17:42:48.400187Z"},"links":{"cited_paper":"/paper/2403.02596","citing_paper":"/paper/2501.12041"},"observation_digest":"sha256:ce6afe2967629c5d4c97432c77c4534fc3cd5387ace44e15d1c7d540dadfba9a","observation_id":"fbd9a1db-7547-4db7-9539-6ba078bc58be","resolution":{"observed_at":"2026-08-10T17:42:48.487188Z","resolver_source":"local_arxiv","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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T17:42:48.831307Z","title":"Centers of F-purity","venue":null,"work_id":"c4c6d42f-ab20-4957-96c5-620902196be6","year":2008},"citing_paper":{"arxiv_id":"2501.12041","last_updated":"2025-03-07T10:19:17Z","snapshot_observed_at":"2026-08-10T17:31:43.195030Z","submitted_at":"2025-01-21T11:02:36Z","title":"On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$","version":3},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-10T17:42:48.404840Z"},"links":{"citing_paper":"/paper/2501.12041"},"observation_digest":"sha256:f6b0cdfceed8d8e832eb75cb1f78ac639d4b6ec2bea211e0939c2378b6391c4e","observation_id":"b3f244a9-93f5-45f0-8097-22c1020df348","resolution":{"observed_at":"2026-08-10T17:42:48.838808Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T17:42:48.806508Z","title":"F-adjunction","venue":null,"work_id":"7b70aade-af81-4b46-a90f-13416d919464","year":2009},"citing_paper":{"arxiv_id":"2501.12041","last_updated":"2025-03-07T10:19:17Z","snapshot_observed_at":"2026-08-10T17:31:43.195030Z","submitted_at":"2025-01-21T11:02:36Z","title":"On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$","version":3},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-10T17:42:48.408789Z"},"links":{"citing_paper":"/paper/2501.12041"},"observation_digest":"sha256:2727de302735e5e10b7be26402080934e9582a73ddb265125d6b7a1e82812076","observation_id":"2a6f59cb-d33b-4a47-9fb0-d287827ce168","resolution":{"observed_at":"2026-08-10T17:42:48.814489Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T17:42:48.779527Z","title":"General hyperplane sections of threefolds in positive characteristic","venue":null,"work_id":"bdc79ab4-ca48-4e17-9fd5-cf0241a3cf64","year":2020},"citing_paper":{"arxiv_id":"2501.12041","last_updated":"2025-03-07T10:19:17Z","snapshot_observed_at":"2026-08-10T17:31:43.195030Z","submitted_at":"2025-01-21T11:02:36Z","title":"On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$","version":3},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-10T17:42:48.412925Z"},"links":{"citing_paper":"/paper/2501.12041"},"observation_digest":"sha256:0b7291217d95124f064613d7b0754c46ede621e9acc278533cba022b533fee83","observation_id":"6e3d854b-6788-40e2-891d-b150e36465ab","resolution":{"observed_at":"2026-08-10T17:42:48.787536Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T17:42:48.748570Z","title":"Bertini theorems for F-singularities","venue":null,"work_id":"5257441a-2b62-40d6-9f48-06674811c9b7","year":2013},"citing_paper":{"arxiv_id":"2501.12041","last_updated":"2025-03-07T10:19:17Z","snapshot_observed_at":"2026-08-10T17:31:43.195030Z","submitted_at":"2025-01-21T11:02:36Z","title":"On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$","version":3},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-10T17:42:48.417469Z"},"links":{"citing_paper":"/paper/2501.12041"},"observation_digest":"sha256:6c6a528011162420339e4a9efb53134e88d16416b5bfc9abef9f8756c492d8d9","observation_id":"a6bb432b-e243-4d87-89ff-626926f3ee68","resolution":{"observed_at":"2026-08-10T17:42:48.757086Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T17:42:48.728324Z","title":"Semiample perturbations for log canonical varieties over an F-finite field containing an infinite perfect field","venue":null,"work_id":"da7b0bc0-5ce5-455f-88ad-979c73ea0835","year":2017},"citing_paper":{"arxiv_id":"2501.12041","last_updated":"2025-03-07T10:19:17Z","snapshot_observed_at":"2026-08-10T17:31:43.195030Z","submitted_at":"2025-01-21T11:02:36Z","title":"On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$","version":3},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-08-10T17:42:48.421721Z"},"links":{"citing_paper":"/paper/2501.12041"},"observation_digest":"sha256:33faabc429609f550a9dcfaf12519122a39044663d74a2ce41ba717d2626a9ff","observation_id":"e79d7d2b-0079-40e4-8841-85fed9f7e15b","resolution":{"observed_at":"2026-08-10T17:42:48.735294Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T17:42:48.696156Z","title":"On the characterization of abelian varieties for log pairs in zero and positive characteristic","venue":null,"work_id":"8e525dbe-a89b-4f68-bdab-3d43d0de2a90","year":2022},"citing_paper":{"arxiv_id":"2501.12041","last_updated":"2025-03-07T10:19:17Z","snapshot_observed_at":"2026-08-10T17:31:43.195030Z","submitted_at":"2025-01-21T11:02:36Z","title":"On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$","version":3},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-08-10T17:42:48.426192Z"},"links":{"citing_paper":"/paper/2501.12041"},"observation_digest":"sha256:fd5768842b31ea03c26c4f7b02b0e860881a10e81bd5ad5fb0580ce8f20ad9b1","observation_id":"aefae27c-1823-4085-ac77-e1139d089e8a","resolution":{"observed_at":"2026-08-10T17:42:48.702851Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T17:42:48.674001Z","title":"On the canonical bundle formula and log abundance in positive characteristic","venue":null,"work_id":"3eb7c4dd-4566-487a-9dc8-bf9241946e73","year":2017},"citing_paper":{"arxiv_id":"2501.12041","last_updated":"2025-03-07T10:19:17Z","snapshot_observed_at":"2026-08-10T17:31:43.195030Z","submitted_at":"2025-01-21T11:02:36Z","title":"On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$","version":3},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-08-10T17:42:48.430742Z"},"links":{"citing_paper":"/paper/2501.12041"},"observation_digest":"sha256:729182b3fd841f15c99ef107e505cbd57783011321f2f40ac96e89fbd954fb8c","observation_id":"c85c20bc-3bab-4831-8f88-021cb8f5f316","resolution":{"observed_at":"2026-08-10T17:42:48.679603Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T17:42:48.649297Z","title":"Fano varieties with large Seshadri constants","venue":null,"work_id":"16397f60-0f08-49f9-b2a5-883f42c1aa99","year":2018},"citing_paper":{"arxiv_id":"2501.12041","last_updated":"2025-03-07T10:19:17Z","snapshot_observed_at":"2026-08-10T17:31:43.195030Z","submitted_at":"2025-01-21T11:02:36Z","title":"On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$","version":3},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-08-10T17:42:48.435555Z"},"links":{"citing_paper":"/paper/2501.12041"},"observation_digest":"sha256:aa218474e851db0d0d91a929698e8761584975848d6b8b8303b9206f4c074dfa","observation_id":"91eb2b7d-a2b7-40b6-bcf7-c8de99c5e2e9","resolution":{"observed_at":"2026-08-10T17:42:48.656367Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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"}}],"paper":{"arxiv_id":"2501.12041","last_updated":"2025-03-07T10:19:17Z","latest_version":3,"primary_category":"math.AG","snapshot_observed_at":"2026-08-10T17:31:43.195030Z","submitted_at":"2025-01-21T11:02:36Z","title":"On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$"},"reference_resolution":{"displayed":40,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":5,"verified_exact":4,"verified_fuzzy":31},"total_outbound_references":40},"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 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2501.12041."}