{"as_of":"2026-08-12T19:25:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:3d3c39ded0ae83b490b2e78b4590c5ed3a20f562c6affddaf6a97e6d1fdec314","coverage":[{"denominator":28,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":28,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T23:03:53.459772Z","state":"measured"},{"denominator":30,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":30,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-12T04:51:34.305356Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-12T05:51:26.510360Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2412.03006","last_updated":"2024-12-04T03:53:25Z","snapshot_observed_at":"2026-08-11T22:49:40.004050Z","submitted_at":"2024-12-04T03:53:25Z","title":"Minimal log discrepancies on a fixed threefold","version":1},"cited_work":{"arxiv_id":"2412.03006","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2412.03006","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Kawakita, Minimal log discrepancies on a fixed threefold, arXiv:2412.03006, to appear in Journal of Algebraic Geometry","venue":null,"work_id":"ce60c83c-24bc-403d-b867-28181011c212","year":null},"citing_paper":{"arxiv_id":"2605.05641","last_updated":"2026-05-11T05:01:11Z","snapshot_observed_at":"2026-07-06T23:18:12.631820Z","submitted_at":"2026-05-07T03:48:07Z","title":"The minimal volume of stable surfaces of rank one","version":1},"reference_index":46,"source":"arxiv_source","source_observed_at":"2026-05-08T06:41:53.523227Z"},"links":{"cited_paper":"/paper/2412.03006","citing_paper":"/paper/2605.05641"},"observation_digest":"sha256:da29378e3d0071258663f925b2d7d4dd89001e8c441ceca04c1d5bc40e58e1a4","observation_id":"f5b4e6cf-36aa-495a-8423-8d0665174ab5","resolution":{"observed_at":"2026-05-11T21:06:14.921635Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2412.03006","last_updated":"2024-12-04T03:53:25Z","snapshot_observed_at":"2026-08-11T22:49:40.004050Z","submitted_at":"2024-12-04T03:53:25Z","title":"Minimal log discrepancies on a fixed threefold","version":1},"cited_work":{"arxiv_id":"2412.03006","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2412.03006","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Kawakita, Minimal log discrepancies on a fixed threefold, arXiv:2412.03006, to appear in Journal of Algebraic Geometry","venue":null,"work_id":"ce60c83c-24bc-403d-b867-28181011c212","year":null},"citing_paper":{"arxiv_id":"2605.05641","last_updated":"2026-05-11T05:01:11Z","snapshot_observed_at":"2026-07-06T23:18:12.631820Z","submitted_at":"2026-05-07T03:48:07Z","title":"The minimal volume of stable surfaces of rank one","version":2},"reference_index":49,"source":"arxiv_source","source_observed_at":"2026-05-12T04:51:34.305356Z"},"links":{"cited_paper":"/paper/2412.03006","citing_paper":"/paper/2605.05641"},"observation_digest":"sha256:9686f274390011e2c9a83e1b2819a213800d39123f57b7ef56aae92d51b0b681","observation_id":"ef65713e-7707-4ef6-b31a-db8853b61a37","resolution":{"observed_at":"2026-05-12T05:51:26.512928Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2412.03006/citation-record","integrity":"/paper/2412.03006/integrity","json":"/paper/2412.03006/citation-record.json","paper":"/paper/2412.03006"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T23:03:53.727539Z","title":"de Fernex, L","venue":null,"work_id":"e3843831-51cf-4bef-b9e3-bd45e5d56718","year":2010},"citing_paper":{"arxiv_id":"2412.03006","last_updated":"2024-12-04T03:53:25Z","snapshot_observed_at":"2026-08-11T22:49:40.004050Z","submitted_at":"2024-12-04T03:53:25Z","title":"Minimal log discrepancies on a fixed threefold","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-11T23:03:53.376128Z"},"links":{"citing_paper":"/paper/2412.03006"},"observation_digest":"sha256:aba8f23756ad46169f01a326e367f8b08f682d36ad46879c66810f07ee0c3205","observation_id":"95c249fc-9258-4979-a738-c1a7f9a653ba","resolution":{"observed_at":"2026-08-11T23:03:53.730685Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T23:03:53.719020Z","title":"de Fernex, L","venue":null,"work_id":"1da29c11-5585-4620-9654-2e773467b507","year":2011},"citing_paper":{"arxiv_id":"2412.03006","last_updated":"2024-12-04T03:53:25Z","snapshot_observed_at":"2026-08-11T22:49:40.004050Z","submitted_at":"2024-12-04T03:53:25Z","title":"Minimal log discrepancies on a fixed threefold","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-11T23:03:53.379935Z"},"links":{"citing_paper":"/paper/2412.03006"},"observation_digest":"sha256:33113aa948c90ebbd7f20c10de97cde17990a3aeb6b994dfe083a1fe0221d493","observation_id":"cd5ec723-3c1c-4c3e-8f63-aa6da8eecb99","resolution":{"observed_at":"2026-08-11T23:03:53.722125Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T23:03:53.710752Z","title":null,"venue":null,"work_id":"aa6170a7-a79f-4f5f-817a-706577de8dea","year":2016},"citing_paper":{"arxiv_id":"2412.03006","last_updated":"2024-12-04T03:53:25Z","snapshot_observed_at":"2026-08-11T22:49:40.004050Z","submitted_at":"2024-12-04T03:53:25Z","title":"Minimal log discrepancies on a fixed threefold","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-11T23:03:53.383366Z"},"links":{"citing_paper":"/paper/2412.03006"},"observation_digest":"sha256:c3f047330346ba52e79e8dd13947c1ccbf0bf484a7f0beae3bc68da6153b6816","observation_id":"04a517f3-d0bd-459e-a11f-d688ad816a58","resolution":{"observed_at":"2026-08-11T23:03:53.713739Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T23:03:53.702069Z","title":"Han and J","venue":null,"work_id":"329f121b-10f9-4da9-81e0-b963c5d6eef3","year":null},"citing_paper":{"arxiv_id":"2412.03006","last_updated":"2024-12-04T03:53:25Z","snapshot_observed_at":"2026-08-11T22:49:40.004050Z","submitted_at":"2024-12-04T03:53:25Z","title":"Minimal log discrepancies on a fixed threefold","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-11T23:03:53.386878Z"},"links":{"citing_paper":"/paper/2412.03006"},"observation_digest":"sha256:2b886d69b451d1c3df2bee855b42fa7176e1f22a7201e752af641536d566304c","observation_id":"b1df634c-5db0-4c97-8843-e08a4a182b25","resolution":{"observed_at":"2026-08-11T23:03:53.705339Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2202.05287","last_updated":"2022-02-15T17:36:19Z","snapshot_observed_at":"2026-07-06T12:36:34.388460Z","submitted_at":"2022-02-10T19:01:26Z","title":"ACC for minimal log discrepancies of terminal threefolds","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2202.05287","snapshot_observed_at":"2026-08-11T23:03:53.390264Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.03006","last_updated":"2024-12-04T03:53:25Z","snapshot_observed_at":"2026-08-11T22:49:40.004050Z","submitted_at":"2024-12-04T03:53:25Z","title":"Minimal log discrepancies on a fixed threefold","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-11T23:03:53.390264Z"},"links":{"cited_paper":"/paper/2202.05287","citing_paper":"/paper/2412.03006"},"observation_digest":"sha256:6ba5ee2ae2f4a9cb371710b4e61a111c1c5429286676e00a1822cfa2f50b1b88","observation_id":"39a3c420-486d-48f2-89f8-947997f604f9","resolution":{"observed_at":"2026-08-11T23:03:53.390264Z","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":"2026-08-11T23:03:53.694436Z","title":"Kawakita","venue":null,"work_id":"e2004102-92cb-42d2-92ba-08d8cf3b58f1","year":2001},"citing_paper":{"arxiv_id":"2412.03006","last_updated":"2024-12-04T03:53:25Z","snapshot_observed_at":"2026-08-11T22:49:40.004050Z","submitted_at":"2024-12-04T03:53:25Z","title":"Minimal log discrepancies on a fixed threefold","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-11T23:03:53.394007Z"},"links":{"citing_paper":"/paper/2412.03006"},"observation_digest":"sha256:95583a293b52581c7e332d09d7e232df6c4a4a50a04603e3a6ae6400477e78ff","observation_id":"9f238a31-55b3-4bf9-9ed3-07518771e497","resolution":{"observed_at":"2026-08-11T23:03:53.697226Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T23:03:53.687037Z","title":"Kawakita","venue":null,"work_id":"97e7b5c9-eacb-4268-a054-481fc05948d2","year":2002},"citing_paper":{"arxiv_id":"2412.03006","last_updated":"2024-12-04T03:53:25Z","snapshot_observed_at":"2026-08-11T22:49:40.004050Z","submitted_at":"2024-12-04T03:53:25Z","title":"Minimal log discrepancies on a fixed threefold","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-11T23:03:53.397517Z"},"links":{"citing_paper":"/paper/2412.03006"},"observation_digest":"sha256:84995d63f65991bae333c6adb597502b41c082ccef7cafa3717958b7d82915a6","observation_id":"d3369f0f-1eb0-44a5-a5ec-d4a9035112cd","resolution":{"observed_at":"2026-08-11T23:03:53.689576Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T23:03:53.678901Z","title":"Kawakita","venue":null,"work_id":"0e0216e4-a1e6-48af-9f64-06dea814bffa","year":2003},"citing_paper":{"arxiv_id":"2412.03006","last_updated":"2024-12-04T03:53:25Z","snapshot_observed_at":"2026-08-11T22:49:40.004050Z","submitted_at":"2024-12-04T03:53:25Z","title":"Minimal log discrepancies on a fixed threefold","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-11T23:03:53.400700Z"},"links":{"citing_paper":"/paper/2412.03006"},"observation_digest":"sha256:87324326b341e40ca3b2f3e939ce7906f939109645dbc2229cf0bacc15076f7f","observation_id":"5f0f6039-0bb3-4da8-b76e-61993503da79","resolution":{"observed_at":"2026-08-11T23:03:53.681888Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T23:03:53.670496Z","title":"Kawakita","venue":null,"work_id":"aa3a2f27-7a63-4af5-ac00-48d53ec064d0","year":2005},"citing_paper":{"arxiv_id":"2412.03006","last_updated":"2024-12-04T03:53:25Z","snapshot_observed_at":"2026-08-11T22:49:40.004050Z","submitted_at":"2024-12-04T03:53:25Z","title":"Minimal log discrepancies on a fixed threefold","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-11T23:03:53.404123Z"},"links":{"citing_paper":"/paper/2412.03006"},"observation_digest":"sha256:d6b059ac212308787f419384b1a5b0baad191fa1bc740f6db2a04b9632672879","observation_id":"d004f21f-93eb-49f9-ab31-1060062f2918","resolution":{"observed_at":"2026-08-11T23:03:53.673551Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T23:03:53.662184Z","title":"Kawakita","venue":null,"work_id":"bc4ea2a6-a1ce-417e-9ce0-c76da972e5bc","year":2015},"citing_paper":{"arxiv_id":"2412.03006","last_updated":"2024-12-04T03:53:25Z","snapshot_observed_at":"2026-08-11T22:49:40.004050Z","submitted_at":"2024-12-04T03:53:25Z","title":"Minimal log discrepancies on a fixed threefold","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-11T23:03:53.407187Z"},"links":{"citing_paper":"/paper/2412.03006"},"observation_digest":"sha256:ad8399c7bc1132e8981bc5592734ceca7f25fa4d2ccb32339728799a227b25d8","observation_id":"bee81a08-8d4d-4b64-84df-2264f5bdf57b","resolution":{"observed_at":"2026-08-11T23:03:53.665242Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T23:03:53.653676Z","title":"Kawakita","venue":null,"work_id":"35636abf-e499-4597-928b-a5d74b6ac157","year":2021},"citing_paper":{"arxiv_id":"2412.03006","last_updated":"2024-12-04T03:53:25Z","snapshot_observed_at":"2026-08-11T22:49:40.004050Z","submitted_at":"2024-12-04T03:53:25Z","title":"Minimal log discrepancies on a fixed threefold","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-11T23:03:53.410256Z"},"links":{"citing_paper":"/paper/2412.03006"},"observation_digest":"sha256:8c77b2318d28df169a25b78c192a80dda1fcd2cf2ef98bc4f2b6251125e152b2","observation_id":"6c7388a0-11ee-40d5-87ca-0196c34eb266","resolution":{"observed_at":"2026-08-11T23:03:53.656650Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T23:03:53.645052Z","title":"Kawakita","venue":null,"work_id":"d58a5dcf-4532-42ba-9da6-1c004f012701","year":2024},"citing_paper":{"arxiv_id":"2412.03006","last_updated":"2024-12-04T03:53:25Z","snapshot_observed_at":"2026-08-11T22:49:40.004050Z","submitted_at":"2024-12-04T03:53:25Z","title":"Minimal log discrepancies on a fixed threefold","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-11T23:03:53.412950Z"},"links":{"citing_paper":"/paper/2412.03006"},"observation_digest":"sha256:11a3ccd61e1758863bc1d3ab003c5b489ef400dd8f6a693924e94d9a1a6199cb","observation_id":"5d5e8229-9715-4f95-861a-dbe69845176f","resolution":{"observed_at":"2026-08-11T23:03:53.648178Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2312.13599","last_updated":"2023-12-28T06:42:21Z","snapshot_observed_at":"2026-08-12T11:12:40.077334Z","submitted_at":"2023-12-21T06:05:19Z","title":"Minimal log discrepancies on smooth threefolds","version":2},"cited_work":{"arxiv_id":"2312.13599","doi":null,"metadata_source":"pith","pith_arxiv_id":"2312.13599","snapshot_observed_at":"2026-08-11T23:03:53.502510Z","title":"Minimal log discrepancies on smooth threefolds","venue":"math.AG","work_id":"f9108cfa-8493-4349-a98c-9173f262e1bd","year":2023},"citing_paper":{"arxiv_id":"2412.03006","last_updated":"2024-12-04T03:53:25Z","snapshot_observed_at":"2026-08-11T22:49:40.004050Z","submitted_at":"2024-12-04T03:53:25Z","title":"Minimal log discrepancies on a fixed threefold","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-11T23:03:53.415434Z"},"links":{"cited_paper":"/paper/2312.13599","citing_paper":"/paper/2412.03006"},"observation_digest":"sha256:4a85a2d7f19c6216246e6161c653ae9d572dcedf0b1aeb44feff42f69e89af7b","observation_id":"8b466c75-7ba9-481b-8165-074cbf51cfa0","resolution":{"observed_at":"2026-08-11T23:03:53.507917Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T23:03:53.636447Z","title":"Kawamata","venue":null,"work_id":"28da2aa0-a2da-4da4-99d2-a77f6c95f859","year":1988},"citing_paper":{"arxiv_id":"2412.03006","last_updated":"2024-12-04T03:53:25Z","snapshot_observed_at":"2026-08-11T22:49:40.004050Z","submitted_at":"2024-12-04T03:53:25Z","title":"Minimal log discrepancies on a fixed threefold","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-11T23:03:53.418575Z"},"links":{"citing_paper":"/paper/2412.03006"},"observation_digest":"sha256:f3df1c8296c7ef1221e623f0be11de920d7cad44b833a7d00aeaec30165ad4d0","observation_id":"47b93d7c-ffb0-4937-89d6-a5caaac71027","resolution":{"observed_at":"2026-08-11T23:03:53.639732Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T23:03:53.628050Z","title":"Kawamata","venue":null,"work_id":"69cbab39-d69f-474a-95ed-f463649417fa","year":1996},"citing_paper":{"arxiv_id":"2412.03006","last_updated":"2024-12-04T03:53:25Z","snapshot_observed_at":"2026-08-11T22:49:40.004050Z","submitted_at":"2024-12-04T03:53:25Z","title":"Minimal log discrepancies on a fixed threefold","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-11T23:03:53.421491Z"},"links":{"citing_paper":"/paper/2412.03006"},"observation_digest":"sha256:a6519797ad8f0216ebb011d9a0db85b658b475c221cc0019f8b49cfaf93f877b","observation_id":"09f78545-31e8-4565-b3ef-1d7e91953097","resolution":{"observed_at":"2026-08-11T23:03:53.631037Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T23:03:53.619646Z","title":"Kawamata","venue":null,"work_id":"a1de05e9-a46f-4399-92a7-84246f59cf49","year":1997},"citing_paper":{"arxiv_id":"2412.03006","last_updated":"2024-12-04T03:53:25Z","snapshot_observed_at":"2026-08-11T22:49:40.004050Z","submitted_at":"2024-12-04T03:53:25Z","title":"Minimal log discrepancies on a fixed threefold","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-11T23:03:53.423822Z"},"links":{"citing_paper":"/paper/2412.03006"},"observation_digest":"sha256:8a5c535df909ccbfc5bf9e4642e008eba69b7b8e12cdb7cace65559d7e033a70","observation_id":"6a871247-8834-49a2-8b87-04495725f07d","resolution":{"observed_at":"2026-08-11T23:03:53.622656Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T23:03:53.610302Z","title":"Koll´ ar, ed.Flips and abundance for algebraic threefolds","venue":null,"work_id":"4afed578-ea6c-4ce7-b296-af70415218a4","year":1992},"citing_paper":{"arxiv_id":"2412.03006","last_updated":"2024-12-04T03:53:25Z","snapshot_observed_at":"2026-08-11T22:49:40.004050Z","submitted_at":"2024-12-04T03:53:25Z","title":"Minimal log discrepancies on a fixed threefold","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-11T23:03:53.426274Z"},"links":{"citing_paper":"/paper/2412.03006"},"observation_digest":"sha256:1902ceb6869286a02aafa46ddb871b75cb0d375ebc33222c95f2f73fc88e4dc8","observation_id":"d3347997-59d3-4eff-b1cb-1a881e9e8da4","resolution":{"observed_at":"2026-08-11T23:03:53.613519Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0805.0756","last_updated":"2008-05-06T17:13:49Z","snapshot_observed_at":"2026-07-06T01:39:33.236042Z","submitted_at":"2008-05-06T17:13:49Z","title":"Which powers of holomorphic functions are integrable?","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0805.0756","snapshot_observed_at":"2026-08-11T23:03:53.428673Z","title":"Koll´ ar","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.03006","last_updated":"2024-12-04T03:53:25Z","snapshot_observed_at":"2026-08-11T22:49:40.004050Z","submitted_at":"2024-12-04T03:53:25Z","title":"Minimal log discrepancies on a fixed threefold","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-11T23:03:53.428673Z"},"links":{"cited_paper":"/paper/0805.0756","citing_paper":"/paper/2412.03006"},"observation_digest":"sha256:dadec587a41667f47729cf0d271c5f6f22833afcbad350d0dd50d004b6590165","observation_id":"aa0a5372-7464-4bfa-8f8b-436c592359fe","resolution":{"observed_at":"2026-08-11T23:03:53.428673Z","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":"2026-08-11T23:03:53.601581Z","title":"Koll´ ar and S","venue":null,"work_id":"89b0ae45-9f89-4a1b-a77d-2a27f6b00f83","year":1992},"citing_paper":{"arxiv_id":"2412.03006","last_updated":"2024-12-04T03:53:25Z","snapshot_observed_at":"2026-08-11T22:49:40.004050Z","submitted_at":"2024-12-04T03:53:25Z","title":"Minimal log discrepancies on a fixed threefold","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-11T23:03:53.431973Z"},"links":{"citing_paper":"/paper/2412.03006"},"observation_digest":"sha256:c7957454d2cdc95da74eccbe1dba563ecf144356dbd604ae478096150e3e7dfb","observation_id":"770a907c-dc29-46d0-866e-f517bd8e092c","resolution":{"observed_at":"2026-08-11T23:03:53.604644Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2207.04610","last_updated":"2022-07-11T04:04:58Z","snapshot_observed_at":"2026-07-06T13:29:44.136156Z","submitted_at":"2022-07-11T04:04:58Z","title":"Second largest accumulation point of minimal log discrepancies of threefolds","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2207.04610","snapshot_observed_at":"2026-08-11T23:03:53.434975Z","title":"Liu and Y","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.03006","last_updated":"2024-12-04T03:53:25Z","snapshot_observed_at":"2026-08-11T22:49:40.004050Z","submitted_at":"2024-12-04T03:53:25Z","title":"Minimal log discrepancies on a fixed threefold","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-11T23:03:53.434975Z"},"links":{"cited_paper":"/paper/2207.04610","citing_paper":"/paper/2412.03006"},"observation_digest":"sha256:68718dd1a471eefc498c6aa6b2f8dee25fea536dc673d4874b55c014d27c07a8","observation_id":"16976931-3c50-4615-a629-12665a7337b0","resolution":{"observed_at":"2026-08-11T23:03:53.434975Z","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":"2026-08-11T23:03:53.593110Z","title":"Lyu and T","venue":null,"work_id":"94d0d39f-ebec-49a3-99e7-caa81baa8d01","year":null},"citing_paper":{"arxiv_id":"2412.03006","last_updated":"2024-12-04T03:53:25Z","snapshot_observed_at":"2026-08-11T22:49:40.004050Z","submitted_at":"2024-12-04T03:53:25Z","title":"Minimal log discrepancies on a fixed threefold","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-11T23:03:53.438488Z"},"links":{"citing_paper":"/paper/2412.03006"},"observation_digest":"sha256:4a6f22d7f70dfdbec0f9d5b6540c2a0338318e10241024ba612dcc77915dc7bb","observation_id":"5ba0def9-242c-44cb-93b5-6d54a5c0f798","resolution":{"observed_at":"2026-08-11T23:03:53.595961Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T23:03:53.583230Z","title":null,"venue":null,"work_id":"f7a66ea1-8ed5-4bb9-93ec-b727fa408996","year":1985},"citing_paper":{"arxiv_id":"2412.03006","last_updated":"2024-12-04T03:53:25Z","snapshot_observed_at":"2026-08-11T22:49:40.004050Z","submitted_at":"2024-12-04T03:53:25Z","title":"Minimal log discrepancies on a fixed threefold","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-11T23:03:53.441898Z"},"links":{"citing_paper":"/paper/2412.03006"},"observation_digest":"sha256:449cf320da818ae306fbd300fbbcf0ae4a2f1a20351d6c854987fd18c81fc582","observation_id":"21a8427a-9cf4-4cf4-b11e-9175c53b52ff","resolution":{"observed_at":"2026-08-11T23:03:53.586107Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T23:03:53.575022Z","title":null,"venue":null,"work_id":"e775e25a-b038-446f-a95d-976fa1d04e12","year":1988},"citing_paper":{"arxiv_id":"2412.03006","last_updated":"2024-12-04T03:53:25Z","snapshot_observed_at":"2026-08-11T22:49:40.004050Z","submitted_at":"2024-12-04T03:53:25Z","title":"Minimal log discrepancies on a fixed threefold","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-11T23:03:53.444731Z"},"links":{"citing_paper":"/paper/2412.03006"},"observation_digest":"sha256:34392d49d182cd9e999b3635a9d8297596ea6fc1677edfff094378f91b436352","observation_id":"a43a5080-3f55-4f7d-9e7f-491658e2f0a2","resolution":{"observed_at":"2026-08-11T23:03:53.577707Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T23:03:53.564965Z","title":"Murayama","venue":null,"work_id":"14c18311-bba7-4517-b531-d8f1a3b83a63","year":null},"citing_paper":{"arxiv_id":"2412.03006","last_updated":"2024-12-04T03:53:25Z","snapshot_observed_at":"2026-08-11T22:49:40.004050Z","submitted_at":"2024-12-04T03:53:25Z","title":"Minimal log discrepancies on a fixed threefold","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-11T23:03:53.447704Z"},"links":{"citing_paper":"/paper/2412.03006"},"observation_digest":"sha256:1ae696fdd998c5f563f7aebc726930008b04b7f6c05f3be1d10acb19e99f7047","observation_id":"cbb88489-e85d-4fc7-9b7d-bc9d0d083a47","resolution":{"observed_at":"2026-08-11T23:03:53.568396Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T23:03:53.555103Z","title":null,"venue":null,"work_id":"a4f72529-a83d-41ba-a64d-6c920281ea0b","year":1983},"citing_paper":{"arxiv_id":"2412.03006","last_updated":"2024-12-04T03:53:25Z","snapshot_observed_at":"2026-08-11T22:49:40.004050Z","submitted_at":"2024-12-04T03:53:25Z","title":"Minimal log discrepancies on a fixed threefold","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-11T23:03:53.450728Z"},"links":{"citing_paper":"/paper/2412.03006"},"observation_digest":"sha256:6f62da815597500a31f36cd80b61ab5298e15cff8d588506370e65636692a418","observation_id":"4d1f8ea8-0645-4f67-b1cc-c25c699dafa8","resolution":{"observed_at":"2026-08-11T23:03:53.558444Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T23:03:53.544844Z","title":null,"venue":null,"work_id":"85538ff9-dc0c-424a-9fb7-e704716235f4","year":1985},"citing_paper":{"arxiv_id":"2412.03006","last_updated":"2024-12-04T03:53:25Z","snapshot_observed_at":"2026-08-11T22:49:40.004050Z","submitted_at":"2024-12-04T03:53:25Z","title":"Minimal log discrepancies on a fixed threefold","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-11T23:03:53.453727Z"},"links":{"citing_paper":"/paper/2412.03006"},"observation_digest":"sha256:316ee9f677535d1617e69c4b9119dbb75bcb1ecdede4c84c92e1e9d3c0a5c1b2","observation_id":"627abad1-80e8-449a-a9b4-649c207e511b","resolution":{"observed_at":"2026-08-11T23:03:53.548202Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T23:03:53.534079Z","title":null,"venue":null,"work_id":"1e9cd227-5e49-4816-a112-fcc59f0bc637","year":1996},"citing_paper":{"arxiv_id":"2412.03006","last_updated":"2024-12-04T03:53:25Z","snapshot_observed_at":"2026-08-11T22:49:40.004050Z","submitted_at":"2024-12-04T03:53:25Z","title":"Minimal log discrepancies on a fixed threefold","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-11T23:03:53.456708Z"},"links":{"citing_paper":"/paper/2412.03006"},"observation_digest":"sha256:e4d0f184e411dc38f282605ceaf010d235bc4b4dbf9128966b87a14c9b94ccbf","observation_id":"01674ada-e911-4f48-bead-72dcb22bd69a","resolution":{"observed_at":"2026-08-11T23:03:53.537741Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T23:03:53.523653Z","title":null,"venue":null,"work_id":"ae5378bb-58fd-4e55-8610-ed3c669c80b9","year":2004},"citing_paper":{"arxiv_id":"2412.03006","last_updated":"2024-12-04T03:53:25Z","snapshot_observed_at":"2026-08-11T22:49:40.004050Z","submitted_at":"2024-12-04T03:53:25Z","title":"Minimal log discrepancies on a fixed threefold","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-11T23:03:53.459772Z"},"links":{"citing_paper":"/paper/2412.03006"},"observation_digest":"sha256:f0dd041c420d8b55b54837e81f79e666e36f570dc660e7fcc87e19dcbd244bfd","observation_id":"1edd5596-7170-4e39-9b3b-101341b484ae","resolution":{"observed_at":"2026-08-11T23:03:53.527064Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2412.03006","last_updated":"2024-12-04T03:53:25Z","latest_version":1,"primary_category":"math.AG","snapshot_observed_at":"2026-08-11T22:49:40.004050Z","submitted_at":"2024-12-04T03:53:25Z","title":"Minimal log discrepancies on a fixed threefold"},"reference_resolution":{"displayed":28,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":10,"verified_exact":1,"verified_fuzzy":17},"total_outbound_references":28},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 2 inbound Pith citation observations for arXiv:2412.03006."}