{"as_of":"2026-08-15T20:53:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:d21b796b2afc9731dce452bbe62318db4ee82a9f9addb5b7673c7dd11fd0c38b","coverage":[{"denominator":29,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":29,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T12:04:57.435101Z","state":"measured"},{"denominator":29,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":29,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-15T06:32:42.880941+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/2411.17909/citation-record","integrity":"/paper/2411.17909/integrity","json":"/paper/2411.17909/citation-record.json","paper":"/paper/2411.17909"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:04:57.773996Z","title":"Arvidsson, F","venue":null,"work_id":"b11cd887-5ca1-45fc-8e8a-c243b916c2e9","year":2024},"citing_paper":{"arxiv_id":"2411.17909","last_updated":"2024-11-26T21:49:22Z","snapshot_observed_at":"2026-08-12T11:40:36.326984Z","submitted_at":"2024-11-26T21:49:22Z","title":"Stable Reduction via the Log Canonical Model","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-12T12:04:57.324209Z"},"links":{"citing_paper":"/paper/2411.17909"},"observation_digest":"sha256:f192968d7c4c5433ccd278b82dd9aae2ea871020d8448c576bc496d258786e48","observation_id":"1a68eb7c-e474-4aba-b686-e7ec6cb4630c","resolution":{"observed_at":"2026-08-12T12:04:57.777343Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-12T12:04:57.763485Z","title":"Alexeev, Boundedness and K ^2 for log surfaces , Internat","venue":null,"work_id":"f2adf2b0-571c-46c6-8add-4ccaf88c4420","year":1994},"citing_paper":{"arxiv_id":"2411.17909","last_updated":"2024-11-26T21:49:22Z","snapshot_observed_at":"2026-08-12T11:40:36.326984Z","submitted_at":"2024-11-26T21:49:22Z","title":"Stable Reduction via the Log Canonical Model","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-12T12:04:57.328764Z"},"links":{"citing_paper":"/paper/2411.17909"},"observation_digest":"sha256:4159e97ced0d00e11e88708c9cedd5134f1c5b8a65df64ca88c5e4e732b6147d","observation_id":"d8ff6839-c588-4ad0-9225-abd9c737f3fc","resolution":{"observed_at":"2026-08-12T12:04:57.767184Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-12T12:04:57.753426Z","title":null,"venue":null,"work_id":"69e0ce2e-df6e-4627-8455-3f426388e754","year":1996},"citing_paper":{"arxiv_id":"2411.17909","last_updated":"2024-11-26T21:49:22Z","snapshot_observed_at":"2026-08-12T11:40:36.326984Z","submitted_at":"2024-11-26T21:49:22Z","title":"Stable Reduction via the Log Canonical Model","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-12T12:04:57.332521Z"},"links":{"citing_paper":"/paper/2411.17909"},"observation_digest":"sha256:42d8f4a9bbb55f290361ac1be562ec0e8d0d0af2f8124c1ff0d3f4a250a6469e","observation_id":"e8427ddd-6ffc-42aa-a9e0-f998b237a228","resolution":{"observed_at":"2026-08-12T12:04:57.756811Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-12T12:04:57.742488Z","title":"Artin, Wildly ramified Z /2 actions in dimension two , Proc","venue":null,"work_id":"92c5531c-21d3-4655-884b-26fd6e4e7d46","year":1975},"citing_paper":{"arxiv_id":"2411.17909","last_updated":"2024-11-26T21:49:22Z","snapshot_observed_at":"2026-08-12T11:40:36.326984Z","submitted_at":"2024-11-26T21:49:22Z","title":"Stable Reduction via the Log Canonical Model","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-12T12:04:57.335658Z"},"links":{"citing_paper":"/paper/2411.17909"},"observation_digest":"sha256:2c6756645acca955c6da9fabeb4d1d1ba5dda2775fec8fb029a112200bd7377b","observation_id":"d9456d57-c862-4742-9e19-c80d3e4907b2","resolution":{"observed_at":"2026-08-12T12:04:57.746544Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-12T12:04:57.730599Z","title":"Birkar, P","venue":null,"work_id":"d75fd645-6357-4827-bbef-39839262870c","year":2010},"citing_paper":{"arxiv_id":"2411.17909","last_updated":"2024-11-26T21:49:22Z","snapshot_observed_at":"2026-08-12T11:40:36.326984Z","submitted_at":"2024-11-26T21:49:22Z","title":"Stable Reduction via the Log Canonical Model","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-12T12:04:57.339648Z"},"links":{"citing_paper":"/paper/2411.17909"},"observation_digest":"sha256:c0ef0d3d96bd85b7a599f2e2a0f7da4a328376521586d2e6f5b3f95381f091a1","observation_id":"50d194bb-b001-49e4-8d1e-96adcad5a3fe","resolution":{"observed_at":"2026-08-12T12:04:57.735283Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-12T12:04:57.719607Z","title":"Birkar, Existence of log canonical flips and a special LMMP , Publ","venue":null,"work_id":"dadea583-cb74-4946-a961-d0987766c439","year":2012},"citing_paper":{"arxiv_id":"2411.17909","last_updated":"2024-11-26T21:49:22Z","snapshot_observed_at":"2026-08-12T11:40:36.326984Z","submitted_at":"2024-11-26T21:49:22Z","title":"Stable Reduction via the Log Canonical Model","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-12T12:04:57.343175Z"},"links":{"citing_paper":"/paper/2411.17909"},"observation_digest":"sha256:d7f2a8415a2f1cf1a1d3c25cbbec718ba79fc1e49c98513f6eb6bd1fbedaae0a","observation_id":"1ca1ae1b-e5c6-4d1e-912e-0ca89075f1d2","resolution":{"observed_at":"2026-08-12T12:04:57.723303Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-12T12:04:57.709288Z","title":"Bhatt, L","venue":null,"work_id":"6766236f-697c-41c6-b3de-abce2d81f7e7","year":2023},"citing_paper":{"arxiv_id":"2411.17909","last_updated":"2024-11-26T21:49:22Z","snapshot_observed_at":"2026-08-12T11:40:36.326984Z","submitted_at":"2024-11-26T21:49:22Z","title":"Stable Reduction via the Log Canonical Model","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-12T12:04:57.347038Z"},"links":{"citing_paper":"/paper/2411.17909"},"observation_digest":"sha256:52a9862e17e393a54c6e486910886203840dd0eb53c72f1fc9128986f5c0f2af","observation_id":"4515f31f-3bd0-4809-a91f-1b9903579518","resolution":{"observed_at":"2026-08-12T12:04:57.712282Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-12T12:04:57.699715Z","title":"Cossart, U","venue":null,"work_id":"c358149d-7e42-4e53-902f-532768a051da","year":2020},"citing_paper":{"arxiv_id":"2411.17909","last_updated":"2024-11-26T21:49:22Z","snapshot_observed_at":"2026-08-12T11:40:36.326984Z","submitted_at":"2024-11-26T21:49:22Z","title":"Stable Reduction via the Log Canonical Model","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-12T12:04:57.350144Z"},"links":{"citing_paper":"/paper/2411.17909"},"observation_digest":"sha256:876edf3737222426b3439b35e4c9283148004ee7f4c1c7b6346d72ca7a43f1cb","observation_id":"dcbd913d-75d3-49eb-b874-4f54879969cb","resolution":{"observed_at":"2026-08-12T12:04:57.702608Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-12T12:04:57.688986Z","title":"Cossart and O","venue":null,"work_id":"a10772d3-5120-403f-8fec-a2367c8dffde","year":2019},"citing_paper":{"arxiv_id":"2411.17909","last_updated":"2024-11-26T21:49:22Z","snapshot_observed_at":"2026-08-12T11:40:36.326984Z","submitted_at":"2024-11-26T21:49:22Z","title":"Stable Reduction via the Log Canonical Model","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-12T12:04:57.355359Z"},"links":{"citing_paper":"/paper/2411.17909"},"observation_digest":"sha256:003c444b5977fdc3b4c853cc51e448ad7028cad858e45c3c9ea55fc86b821c27","observation_id":"b5b0c322-35ad-45a2-8b6d-92cf6f1395ea","resolution":{"observed_at":"2026-08-12T12:04:57.692746Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-12T12:04:57.678037Z","title":"Deligne and D","venue":null,"work_id":"fa1ac33a-9cf8-441f-8174-d55902d9b5d8","year":1969},"citing_paper":{"arxiv_id":"2411.17909","last_updated":"2024-11-26T21:49:22Z","snapshot_observed_at":"2026-08-12T11:40:36.326984Z","submitted_at":"2024-11-26T21:49:22Z","title":"Stable Reduction via the Log Canonical Model","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-12T12:04:57.360158Z"},"links":{"citing_paper":"/paper/2411.17909"},"observation_digest":"sha256:3052ccd55fdbacb15cdcf58c82112d1658513a4e562bd64b96e218f20bb8cd0c","observation_id":"9420c0be-da5f-43a9-8298-a311fef7f507","resolution":{"observed_at":"2026-08-12T12:04:57.681851Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-12T12:04:57.666473Z","title":null,"venue":null,"work_id":"9b6f3a3f-23b0-4a6f-a45d-13718c1a0d13","year":2009},"citing_paper":{"arxiv_id":"2411.17909","last_updated":"2024-11-26T21:49:22Z","snapshot_observed_at":"2026-08-12T11:40:36.326984Z","submitted_at":"2024-11-26T21:49:22Z","title":"Stable Reduction via the Log Canonical Model","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-12T12:04:57.364143Z"},"links":{"citing_paper":"/paper/2411.17909"},"observation_digest":"sha256:420337cd8dbdcf9069f140ccfd68e5acb38705b44c7ac6c6ef04b0cfc24ba30b","observation_id":"14c0b535-851c-47ac-9c20-93fea80d8cdf","resolution":{"observed_at":"2026-08-12T12:04:57.670175Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-12T12:04:57.655487Z","title":"Hartshorne, Algebraic geometry, Graduate Texts in Mathematics, vol","venue":null,"work_id":"c2f44f69-37e8-4dc7-aed9-e6e449e105ad","year":1977},"citing_paper":{"arxiv_id":"2411.17909","last_updated":"2024-11-26T21:49:22Z","snapshot_observed_at":"2026-08-12T11:40:36.326984Z","submitted_at":"2024-11-26T21:49:22Z","title":"Stable Reduction via the Log Canonical Model","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-12T12:04:57.369337Z"},"links":{"citing_paper":"/paper/2411.17909"},"observation_digest":"sha256:19cb77d3221df262aa22f76a364a5ab0b9020938ce7a39722679dd7cd030aced","observation_id":"de8e9f23-edea-4adf-9814-f224145515ab","resolution":{"observed_at":"2026-08-12T12:04:57.659219Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-12T12:04:57.644533Z","title":"Hacon and S","venue":null,"work_id":"07ff9b69-3fd2-48d1-9df8-ce3adbdb2c94","year":2019},"citing_paper":{"arxiv_id":"2411.17909","last_updated":"2024-11-26T21:49:22Z","snapshot_observed_at":"2026-08-12T11:40:36.326984Z","submitted_at":"2024-11-26T21:49:22Z","title":"Stable Reduction via the Log Canonical Model","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-12T12:04:57.373389Z"},"links":{"citing_paper":"/paper/2411.17909"},"observation_digest":"sha256:7f49ce7a962fdc2a7444cf1e41a3c4966e70af350229f43d490ae158c593452f","observation_id":"8c9eca04-808b-442f-88b9-f94818dead1f","resolution":{"observed_at":"2026-08-12T12:04:57.648384Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-12T12:04:57.634162Z","title":"Hashizume, Y Nakamura, and H","venue":null,"work_id":"5ad32d70-feb0-4f80-899e-25c16586de26","year":2020},"citing_paper":{"arxiv_id":"2411.17909","last_updated":"2024-11-26T21:49:22Z","snapshot_observed_at":"2026-08-12T11:40:36.326984Z","submitted_at":"2024-11-26T21:49:22Z","title":"Stable Reduction via the Log Canonical Model","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-12T12:04:57.376970Z"},"links":{"citing_paper":"/paper/2411.17909"},"observation_digest":"sha256:d0b9b55fb319fe84bd72594e2c5c569bfffd1fc0317dd15536d141dd25fd6063","observation_id":"a81bbd28-97b4-405e-a32a-4863dea268b5","resolution":{"observed_at":"2026-08-12T12:04:57.637762Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-12T12:04:57.623089Z","title":"Hacon and C","venue":null,"work_id":"cc1464b0-d808-4b44-8151-c4210f8b6947","year":2013},"citing_paper":{"arxiv_id":"2411.17909","last_updated":"2024-11-26T21:49:22Z","snapshot_observed_at":"2026-08-12T11:40:36.326984Z","submitted_at":"2024-11-26T21:49:22Z","title":"Stable Reduction via the Log Canonical Model","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-12T12:04:57.380922Z"},"links":{"citing_paper":"/paper/2411.17909"},"observation_digest":"sha256:f361441161c8d926466a970bc59b5f59c250155c75c3f1d7530b5b1ec5a68541","observation_id":"b86cf5ff-8cb0-47d7-bc73-7f1f34d1ec7b","resolution":{"observed_at":"2026-08-12T12:04:57.626712Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-12T12:04:57.613786Z","title":"Kollár et al., Flips and abundance for algebraic threefolds, Astérisque, vol","venue":null,"work_id":"63786b09-0661-47e6-b8c1-52ac55e43a3b","year":1992},"citing_paper":{"arxiv_id":"2411.17909","last_updated":"2024-11-26T21:49:22Z","snapshot_observed_at":"2026-08-12T11:40:36.326984Z","submitted_at":"2024-11-26T21:49:22Z","title":"Stable Reduction via the Log Canonical Model","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-12T12:04:57.384987Z"},"links":{"citing_paper":"/paper/2411.17909"},"observation_digest":"sha256:49624be753c3ea889a5fab081f1c355784f9265ffbad9cb9bc77d625ef1f9c8e","observation_id":"a4b97e43-4aaf-4049-aa52-bfb56082196f","resolution":{"observed_at":"2026-08-12T12:04:57.616830Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-12T12:04:57.603557Z","title":"Kempf, F","venue":null,"work_id":"7c7d46c3-657e-4b40-a867-ef8a68a75186","year":1973},"citing_paper":{"arxiv_id":"2411.17909","last_updated":"2024-11-26T21:49:22Z","snapshot_observed_at":"2026-08-12T11:40:36.326984Z","submitted_at":"2024-11-26T21:49:22Z","title":"Stable Reduction via the Log Canonical Model","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-12T12:04:57.389604Z"},"links":{"citing_paper":"/paper/2411.17909"},"observation_digest":"sha256:9df951de4c280aca1503388d0710962c484e26bade41db3af234e4ba15ffa92e","observation_id":"704cf057-1091-475e-9956-3714efbd407b","resolution":{"observed_at":"2026-08-12T12:04:57.607136Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-12T12:04:57.591513Z","title":"Kollár and S","venue":null,"work_id":"3b9c5aef-0981-4f85-aff5-7982d84caeff","year":1998},"citing_paper":{"arxiv_id":"2411.17909","last_updated":"2024-11-26T21:49:22Z","snapshot_observed_at":"2026-08-12T11:40:36.326984Z","submitted_at":"2024-11-26T21:49:22Z","title":"Stable Reduction via the Log Canonical Model","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-12T12:04:57.394353Z"},"links":{"citing_paper":"/paper/2411.17909"},"observation_digest":"sha256:86768eb26223384556e1addfe7a161bd9384140d68f9efebe74de13529cdeed8","observation_id":"961aa032-c3e9-4a96-930a-49c728bd747c","resolution":{"observed_at":"2026-08-12T12:04:57.595254Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-12T12:04:57.579058Z","title":"Kollár, Singularities of the minimal model program, Cambridge Tracts in Mathematics, vol","venue":null,"work_id":"f5bc6737-9139-49c4-9163-8f0c093e07cc","year":2013},"citing_paper":{"arxiv_id":"2411.17909","last_updated":"2024-11-26T21:49:22Z","snapshot_observed_at":"2026-08-12T11:40:36.326984Z","submitted_at":"2024-11-26T21:49:22Z","title":"Stable Reduction via the Log Canonical Model","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-12T12:04:57.398367Z"},"links":{"citing_paper":"/paper/2411.17909"},"observation_digest":"sha256:3bae821ba380bec1bef39ebae55d110bb7f8728f39b992f8dfc8d672fa64cc15","observation_id":"f79cd979-349e-43b8-bf70-41b36ea46c29","resolution":{"observed_at":"2026-08-12T12:04:57.583459Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-12T12:04:57.566502Z","title":null,"venue":null,"work_id":"27b5cf1a-c85b-491c-81bb-7a912a1b907c","year":2023},"citing_paper":{"arxiv_id":"2411.17909","last_updated":"2024-11-26T21:49:22Z","snapshot_observed_at":"2026-08-12T11:40:36.326984Z","submitted_at":"2024-11-26T21:49:22Z","title":"Stable Reduction via the Log Canonical Model","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-12T12:04:57.401904Z"},"links":{"citing_paper":"/paper/2411.17909"},"observation_digest":"sha256:19afd491d5a69f87be76e5699d2c4bc5620a09a73cfd4e8285fdddf4823c2ea8","observation_id":"4d06eaae-f959-433d-9592-f555580bf6fd","resolution":{"observed_at":"2026-08-12T12:04:57.570524Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-12T12:04:57.554272Z","title":null,"venue":null,"work_id":"e9e70fbd-3a08-4175-a2cf-c2b821781b5c","year":2023},"citing_paper":{"arxiv_id":"2411.17909","last_updated":"2024-11-26T21:49:22Z","snapshot_observed_at":"2026-08-12T11:40:36.326984Z","submitted_at":"2024-11-26T21:49:22Z","title":"Stable Reduction via the Log Canonical Model","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-12T12:04:57.406627Z"},"links":{"citing_paper":"/paper/2411.17909"},"observation_digest":"sha256:b790503bff685b40f5192a63cb501a661f39d2a14804494f8a5da79a61ba8f0c","observation_id":"4de4c93a-7e67-4008-9021-ed17db134f3c","resolution":{"observed_at":"2026-08-12T12:04:57.558729Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-12T12:04:57.543803Z","title":"Kollár and N.I","venue":null,"work_id":"1374b99e-2629-4505-8f32-3971f2b5d060","year":1988},"citing_paper":{"arxiv_id":"2411.17909","last_updated":"2024-11-26T21:49:22Z","snapshot_observed_at":"2026-08-12T11:40:36.326984Z","submitted_at":"2024-11-26T21:49:22Z","title":"Stable Reduction via the Log Canonical Model","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-12T12:04:57.409594Z"},"links":{"citing_paper":"/paper/2411.17909"},"observation_digest":"sha256:b37f7f4d836cdf1ad0db30eabbcf0510cdfa8ef6d6c5aef57b55c0763afbcc88","observation_id":"3b3c494f-975b-4ee6-bb76-bfe22478e41a","resolution":{"observed_at":"2026-08-12T12:04:57.546947Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-12T12:04:57.532749Z","title":"Liu, Algebraic geometry and arithmetic curves, Oxford University Press, Oxford, 2002","venue":null,"work_id":"c40c314d-c657-4396-84eb-81e2b02617ec","year":2002},"citing_paper":{"arxiv_id":"2411.17909","last_updated":"2024-11-26T21:49:22Z","snapshot_observed_at":"2026-08-12T11:40:36.326984Z","submitted_at":"2024-11-26T21:49:22Z","title":"Stable Reduction via the Log Canonical Model","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-12T12:04:57.412725Z"},"links":{"citing_paper":"/paper/2411.17909"},"observation_digest":"sha256:0d29dd01ca7408dacefd566d3fa4176e92804bc29fb24ab61fe89394bd0a8c7b","observation_id":"9fb92719-395c-4dfa-b410-c386c1734531","resolution":{"observed_at":"2026-08-12T12:04:57.536081Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-12T12:04:57.520384Z","title":"McQuillan, Unpublished lecture on foliations","venue":null,"work_id":"d1d69c90-4e18-430b-871b-22f0bd587b27","year":null},"citing_paper":{"arxiv_id":"2411.17909","last_updated":"2024-11-26T21:49:22Z","snapshot_observed_at":"2026-08-12T11:40:36.326984Z","submitted_at":"2024-11-26T21:49:22Z","title":"Stable Reduction via the Log Canonical Model","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-12T12:04:57.415743Z"},"links":{"citing_paper":"/paper/2411.17909"},"observation_digest":"sha256:4b1b782659ac814cbf2ede790015ae663da372e948ba690d96168beea29e7130","observation_id":"736e2e9a-8395-4386-a4ab-6d6af9ed54ab","resolution":{"observed_at":"2026-08-12T12:04:57.524917Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-12T12:04:57.508813Z","title":"M ^ c Kernan and Y","venue":null,"work_id":"0bb21fcd-2c91-4374-913b-4e17d4d1c563","year":2004},"citing_paper":{"arxiv_id":"2411.17909","last_updated":"2024-11-26T21:49:22Z","snapshot_observed_at":"2026-08-12T11:40:36.326984Z","submitted_at":"2024-11-26T21:49:22Z","title":"Stable Reduction via the Log Canonical Model","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-12T12:04:57.418945Z"},"links":{"citing_paper":"/paper/2411.17909"},"observation_digest":"sha256:5a33746fc88e57aa9d9aa0500b53bb5bccf135f89b46a23ead0793ab3486aeed","observation_id":"0e76d437-bd96-4874-8892-f32e62fb7348","resolution":{"observed_at":"2026-08-12T12:04:57.512532Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1710.03818","last_updated":"2017-10-13T12:28:51Z","snapshot_observed_at":"2026-08-14T20:25:01.227476Z","submitted_at":"2017-10-10T20:56:25Z","title":"On the projectivity of the moduli space of stable surfaces in characteristic p>5","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1710.03818","snapshot_observed_at":"2026-08-12T12:04:57.422662Z","title":"Patakfalvi, On the projectivity of the moduli space of stable surfaces in characteristic p>5 , arXiv preprint (2017), 1--42, arXiv:1710.03818 https://arxiv.org/abs/1710.03818","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2411.17909","last_updated":"2024-11-26T21:49:22Z","snapshot_observed_at":"2026-08-12T11:40:36.326984Z","submitted_at":"2024-11-26T21:49:22Z","title":"Stable Reduction via the Log Canonical Model","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-12T12:04:57.422662Z"},"links":{"cited_paper":"/paper/1710.03818","citing_paper":"/paper/2411.17909"},"observation_digest":"sha256:d57f1a678d1783dfcd4738bb42f1d374fd264e5c4e4d4433b6daa23216a06cfd","observation_id":"ea5630db-8229-4fc8-b506-11b6b504c823","resolution":{"observed_at":"2026-08-12T12:04:57.422662Z","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":"2026-08-12T12:04:57.496984Z","title":"Posva, Gluing theory for slc surfaces and threefolds in positive characteristic, Ann","venue":null,"work_id":"52a81ad2-1205-411e-b30e-5480a430c982","year":2024},"citing_paper":{"arxiv_id":"2411.17909","last_updated":"2024-11-26T21:49:22Z","snapshot_observed_at":"2026-08-12T11:40:36.326984Z","submitted_at":"2024-11-26T21:49:22Z","title":"Stable Reduction via the Log Canonical Model","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-12T12:04:57.426493Z"},"links":{"citing_paper":"/paper/2411.17909"},"observation_digest":"sha256:d6620b839441ae80c4068ae90ec419b26849a1f786b217b3cbf2fb2910780a6a","observation_id":"16168c4c-6f3c-4d49-bae9-96b314c6ed83","resolution":{"observed_at":"2026-08-12T12:04:57.501086Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-12T12:04:57.482342Z","title":"Saito, Vanishing cycles and geometry of curves over a discrete valuation ring, Amer","venue":null,"work_id":"aea1bb80-4efd-431f-b18c-0977b013ee0c","year":1987},"citing_paper":{"arxiv_id":"2411.17909","last_updated":"2024-11-26T21:49:22Z","snapshot_observed_at":"2026-08-12T11:40:36.326984Z","submitted_at":"2024-11-26T21:49:22Z","title":"Stable Reduction via the Log Canonical Model","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-12T12:04:57.430623Z"},"links":{"citing_paper":"/paper/2411.17909"},"observation_digest":"sha256:211d8711955bcf4cabeb4b89459045f260a1210666cb74845b6e5307d55123ab","observation_id":"bf291018-bc40-4d52-b10b-bf87fe6dd822","resolution":{"observed_at":"2026-08-12T12:04:57.487582Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-12T12:04:57.435101Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2411.17909","last_updated":"2024-11-26T21:49:22Z","snapshot_observed_at":"2026-08-12T11:40:36.326984Z","submitted_at":"2024-11-26T21:49:22Z","title":"Stable Reduction via the Log Canonical Model","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-12T12:04:57.435101Z"},"links":{"citing_paper":"/paper/2411.17909"},"observation_digest":"sha256:810b9d4704eac63b19077ff5f99fbefe7c7f39d9661dc06976f7c4abbc0abb90","observation_id":"7bcc887e-b028-4162-b062-50a5f5095dd3","resolution":{"observed_at":"2026-08-12T12:04:57.435101Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2411.17909","last_updated":"2024-11-26T21:49:22Z","latest_version":1,"primary_category":"math.AG","snapshot_observed_at":"2026-08-12T11:40:36.326984Z","submitted_at":"2024-11-26T21:49:22Z","title":"Stable Reduction via the Log Canonical Model"},"reference_resolution":{"displayed":29,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":6,"verified_exact":0,"verified_fuzzy":23},"total_outbound_references":29},"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":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 15 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2411.17909."}