{"as_of":"2026-08-09T02:55:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:233d2df15f5a6807da740cfd7a86b9dbcde8c9c884e06c21838e75ca47d9f905","coverage":[{"denominator":73,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":73,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-12T05:52:48.229106Z","state":"measured"},{"denominator":73,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":73,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+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/2607.02950/citation-record","integrity":"/paper/2607.02950/integrity","json":"/paper/2607.02950/citation-record.json","paper":"/paper/2607.02950"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"1707.00834","last_updated":"2017-07-05T07:39:57Z","snapshot_observed_at":"2026-07-06T05:49:37.077540Z","submitted_at":"2017-07-04T07:27:43Z","title":"The minimal model program for b-log canonical divisors and applications","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1707.00834","snapshot_observed_at":"2026-07-12T05:52:48.229106Z","title":"arXiv preprint arXiv:1707.00834 , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"cited_paper":"/paper/1707.00834","citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:c5c6add074a52acfcb84cd38f6b5ed6ac994c4eb9b21566496f0610db8fd6382","observation_id":"ee2b01bd-837a-4d45-8011-57f16a637ef2","resolution":{"observed_at":"2026-07-12T05:52:48.229106Z","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":"10.2307/1993361","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Transactions of the American Mathematical Society","work_id":"58867191-8a19-4e7c-8434-80882c225d1d","year":1960},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:438c3b5d2c883c8a65a6ce0431ceb3dd9f07ed00dbf5b74003e0565ebcc6619a","observation_id":"71cab627-0315-4af2-a394-d3e23a85c4af","resolution":{"observed_at":"2026-07-12T05:58:32.806487Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-07-12T05:52:48.229106Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:867e4d3b47b9d265be7a7b34c52af397f0b3e993b139fb8c8691ca4eeb4f098d","observation_id":"5dddc011-f554-45ef-932c-04731277388f","resolution":{"observed_at":"2026-07-12T05:52:48.229106Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T05:52:48.229106Z","title":"Proceedings of the London Mathematical Society , volume=","venue":null,"work_id":null,"year":1972},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:1be3645baabe9167ad7593d01bafc72d568fd2c394a515441690249c9afbd361","observation_id":"63f58853-9403-4188-9b4b-703696300741","resolution":{"observed_at":"2026-07-12T05:52:48.229106Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T05:52:48.229106Z","title":"and Tate, J","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:4ee76c3772ae351bea4fc29ec19411a78fbf86b893ddcc0329c811bfcafefd0b","observation_id":"3097ba53-65ab-4647-b0aa-cfaefa931d42","resolution":{"observed_at":"2026-07-12T05:52:48.229106Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T05:52:48.229106Z","title":"and Tate, J","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:4fc0f857498c3078ca1e4cc2c7794954497c0e3c926b838f573b5ac8c7616f4e","observation_id":"a2253fbd-341e-43fb-a4a7-d9f6debee20f","resolution":{"observed_at":"2026-07-12T05:52:48.229106Z","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":"10.1090/fic/016/02","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"and Kahn, Bruno , TITLE =","venue":null,"work_id":"6a6577a3-e407-4173-b6e2-aeaed70c4344","year":1997},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:549142d3e4bdff39ef03684e52bd47e0f77626f605d0a65b4bf947d26469ce33","observation_id":"6d4e795a-4851-4bf4-be9f-6e08e0d5f14d","resolution":{"observed_at":"2026-07-12T05:58:32.818658Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-07-13T12:49:36.113013+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-13T12:49:36.113013+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1353/ajm.0.0027","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":", Coden =","venue":"American Journal of Mathematics","work_id":"b366cf9f-44b2-4b41-ad0b-390127180480","year":null},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:71ae7f0bd562e9302860bed91ca7d124f168493c51c6ffb6be1041cfe56ba7a0","observation_id":"98fa71f9-4915-4af7-bb2d-3a7f7fe17b71","resolution":{"observed_at":"2026-07-12T05:58:32.793516Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.2140/pjm.2008.237.201","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":", TITLE =","venue":"Pacific Journal of Mathematics","work_id":"5e095bdd-4384-4320-ae63-4fd387727893","year":2008},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:ad2609c401de594348af19a4999edf286240f701020d5b1c60807697169380c8","observation_id":"277d9d5e-cc46-4ef0-8be9-4d2614a921fb","resolution":{"observed_at":"2026-07-12T05:58:32.799313Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-07-12T05:52:48.229106Z","title":"Tannaka Duality for Geometric Stacks , Year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:8dec8939ce7401fc89342464665827f1e6828ed3d5b41039ff7f19f9f2ea39fc","observation_id":"f292b5d9-9a41-4cba-9a05-5b1377ff02c4","resolution":{"observed_at":"2026-07-12T05:52:48.229106Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T05:52:48.229106Z","title":"Representation theory of","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:78de798559c1b1ebcd023165b2dcd2562cb5d58c5867b98e898b33345c76ddd9","observation_id":"b0634cb7-6909-43df-8d45-0646c2f78128","resolution":{"observed_at":"2026-07-12T05:52:48.229106Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T05:52:48.229106Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:be391854e74008ce55e157b772dcdc732bf48be5e47c15ee1847f1672539edc3","observation_id":"9ecb2978-28ec-42e8-a605-9957ab32d81d","resolution":{"observed_at":"2026-07-12T05:52:48.229106Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T05:52:48.229106Z","title":null,"venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:b2c3589a2ffe25e01787012e0c012cb68b3d6b677ecaff2b7d142732c12fc217","observation_id":"9b4f5ec1-b1ff-4ab8-aa3e-eb109a135623","resolution":{"observed_at":"2026-07-12T05:52:48.229106Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T05:52:48.229106Z","title":null,"venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:977574fba2cb4f37f251402173efb5110e537798debc9452161fd7601be8e49d","observation_id":"e5b8216c-9a9f-4c01-b406-b34e4bb7da3d","resolution":{"observed_at":"2026-07-12T05:52:48.229106Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T05:52:48.229106Z","title":null,"venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:ade7994bc8f8d6154f541502e9dff0772530dfd4e729be36f9074e1f16d82d45","observation_id":"22f5a7ba-97e2-4acc-8d09-66b22b7e7069","resolution":{"observed_at":"2026-07-12T05:52:48.229106Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T05:52:48.229106Z","title":", TITLE =","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:074b7f5ad520e4191b13cd68b4918242a19647121bfb7814d4e4cb5c280ad007","observation_id":"14b73ef6-bb02-4cb8-8732-9213a0c6289c","resolution":{"observed_at":"2026-07-12T05:52:48.229106Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T05:52:48.229106Z","title":"Weighted projective lines as fine moduli spaces of quiver representations , Url =","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:3d3851efb96e0e6314063118b08c136a9e8d0c789b672f54592a5573a4a07a23","observation_id":"d7a9a5ec-c4a8-4e9e-a6c4-4ae783e658c7","resolution":{"observed_at":"2026-07-12T05:52:48.229106Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T05:52:48.229106Z","title":null,"venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:f793bbe8a1c600d67eef884f1f0954d998edc241f29d8f87fd1e04419688fffd","observation_id":"868525fb-36bb-4f09-9a62-70dee9f86ef0","resolution":{"observed_at":"2026-07-12T05:52:48.229106Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T05:52:48.229106Z","title":"and Zhang, J","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:7e50fe6de983ee48c81972ef9076315d5c76d726a6a92d20df8627b809982455","observation_id":"3474db1a-cdc3-4081-a969-09870dd71fdc","resolution":{"observed_at":"2026-07-12T05:52:48.229106Z","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":"10.1023/a:1012006112261","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"and Zhang, J","venue":"Algebras and Representation Theory","work_id":"1cc5de37-7fc7-4d6d-8415-9e5593943f42","year":2001},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:9eee4883469878f315da9ec952bf2a67105df8f88f2bd9d0ebba4c925eb1cc1b","observation_id":"58a34ab7-31eb-4a27-b653-5f217a9068b9","resolution":{"observed_at":"2026-07-12T05:58:32.763939Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-07-12T05:52:48.229106Z","title":null,"venue":null,"work_id":null,"year":1978},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:eefa9d28bf2464953cf1b47a4f963dfdf489843dafe0ccae22d3579ffa32e9ae","observation_id":"269daad7-9e8b-4fca-847e-39d790a51dd0","resolution":{"observed_at":"2026-07-12T05:52:48.229106Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2012.15801","last_updated":"2022-12-05T20:14:01Z","snapshot_observed_at":"2026-07-06T10:29:08.529695Z","submitted_at":"2020-12-31T18:22:48Z","title":"Globally +-regular varieties and the minimal model program for threefolds in mixed characteristic","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2012.15801","snapshot_observed_at":"2026-07-12T05:52:48.229106Z","title":"arXiv preprint arXiv:2012.15801 , year=","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"cited_paper":"/paper/2012.15801","citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:41af1d7d9f1bc1089cdfe49e6ee5351d8cbb56e2dfd8e708be3efbcd217b8756","observation_id":"81b31d9e-819f-40cf-9980-d25970492923","resolution":{"observed_at":"2026-07-12T05:52:48.229106Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T05:52:48.229106Z","title":null,"venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:c7da269260343aeb84f57166844bd817b55110ade20ac1551c98f15b4dda60a8","observation_id":"98ca06d7-0a7b-442c-af0a-784749e6b1ca","resolution":{"observed_at":"2026-07-12T05:52:48.229106Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T05:52:48.229106Z","title":"Algebraic & Geometric Topology , volume=","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:9b4649b8b7a68006cedbbbe3ce13fc170d70d2d890580fe5f9400ed04fbe67e2","observation_id":"d2009927-e532-4628-b26b-92d8635961bf","resolution":{"observed_at":"2026-07-12T05:52:48.229106Z","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":"10.1023/a:1002470302976","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Compositio Math","venue":"Compositio Mathematica","work_id":"c46bdeee-7426-4c0b-ad40-47129dab1586","year":2001},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:5990062939c1eb90cca0a9916803695c236bfdeeec3411a487cc63bb0a377db6","observation_id":"e9f62bd1-d6d7-4683-9b89-f25a6e5c7cbd","resolution":{"observed_at":"2026-07-12T05:58:32.774131Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1112/s0024609398004998","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Bulletin of the London Mathematical Society","work_id":"778560eb-7d90-41f5-8614-daa02f07aeb9","year":1999},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:cd9c7d43e5dff93eca53cce191540b3f049e9db01bd6606ffcbed49a9d27c317","observation_id":"1c32e7c9-bc7e-4918-8820-ccf3ec1b890e","resolution":{"observed_at":"2026-07-12T05:58:32.837083Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-07-12T05:52:48.229106Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:7693cd0fb3fd9d61b450c77407d4ab77f69978d91692fb764808cf9579fc22b1","observation_id":"9c22f806-ad2c-4ebe-b8ba-2587c7173d44","resolution":{"observed_at":"2026-07-12T05:52:48.229106Z","resolver_source":null,"status":"parse_uncertain"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T05:52:48.229106Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:887c9b39bf12eb5f8b9c2f2ca1380835eaccacf64035d54799b0caf0ea6177ed","observation_id":"7c86ba29-cfc4-4f16-ad7f-fa2d1fbc84c5","resolution":{"observed_at":"2026-07-12T05:52:48.229106Z","resolver_source":null,"status":"parse_uncertain"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T05:52:48.229106Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:c7b2722a83fda0526f88f24729084a2bbb1714172ab9ffb4766b07b94cb36e89","observation_id":"81667267-9ed2-4cee-b998-b488082d99d0","resolution":{"observed_at":"2026-07-12T05:52:48.229106Z","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":"10.1016/j.jalgebra.2016.11.037","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Journal of Algebra","work_id":"ce6a2499-b2ed-4607-aa48-e83f30dfeb03","year":2017},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:a6fe1459e35616a004fd2614fe797e5eafb33f7c42d201a480e5d13bf14512a0","observation_id":"640e3c98-efcc-47d5-9286-bc4d48e6b447","resolution":{"observed_at":"2026-07-12T05:58:32.797514Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-07-12T05:52:48.229106Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:3287d42007b13649b0580d25667fe3c745f3c43ed8a9f2e524068484f9209f12","observation_id":"1d9ccb4e-0567-43b3-989d-9fa0b05bd24f","resolution":{"observed_at":"2026-07-12T05:52:48.229106Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T05:52:48.229106Z","title":"Proceedings of the London Mathematical Society , volume=","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:dbade587400f70c76747aa21808bc4a4ccd2a94c00f2c1b1e99d18ee44a78ae3","observation_id":"db5fde7e-f6f5-407a-b58d-c12956e87a8a","resolution":{"observed_at":"2026-07-12T05:52:48.229106Z","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":"10.1112/s0024611503014278","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Proceedings of the London Mathematical Society","work_id":"0b7d2092-e935-4c00-9239-9e9502908a45","year":2004},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:a50ef0eb2dafce143ae462ca459e3c3b23455dae3600a3f55f6aa7fb1380ccbc","observation_id":"9bb46e9f-f3ab-4c0d-b26f-1432bafc9f3e","resolution":{"observed_at":"2026-07-12T05:58:32.783196Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-07-12T05:52:48.229106Z","title":"Inventiones mathematicae , volume=","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:1d8f8099202e7384abdc5b5dc138d647bf016036869474f7f9ef1c4043451006","observation_id":"dfa23ef2-7d04-40d8-9cfb-17c1607310b9","resolution":{"observed_at":"2026-07-12T05:52:48.229106Z","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":"10.1090/conm/562/11130","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"New trends in noncommutative algebra , SERIES =","venue":"Contemporary mathematics - American Mathematical Society","work_id":"3efdcf19-ea17-4f1d-96ee-59696a4d3979","year":2012},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:391224e085ff963ee04aed1806bf90b62471477ba1d7c8ddc05dbbdfb66a1d2d","observation_id":"66403f00-5c37-42fe-8dfd-40492bcb0bb4","resolution":{"observed_at":"2026-07-12T05:58:32.778554Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00209-020-02552-2","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Mathematische Zeitschrift","work_id":"ca1525ad-752f-4e4f-a798-e95a3b95a71b","year":2021},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:cff0434e5850d54152ff975ad9b2a68b387c715c5e58e0aded5f281758fd2a67","observation_id":"9ba906f5-326d-4a27-a62b-4a0757f0902d","resolution":{"observed_at":"2026-07-12T05:58:32.751929Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2108.03105","last_updated":"2021-08-06T13:12:40Z","snapshot_observed_at":"2026-07-06T11:36:10.703784Z","submitted_at":"2021-08-06T13:12:40Z","title":"The minimal model program for arithmetic surfaces enriched by a Brauer class","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2108.03105","snapshot_observed_at":"2026-07-12T05:52:48.229106Z","title":"arXiv preprint arXiv:2108.03105 , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"cited_paper":"/paper/2108.03105","citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:b4ee037fd72dfa3bc9c76b9013421dfaa58d57558086b5827ea4f2e39be14c85","observation_id":"774f8efb-cf91-4ce4-8ea9-1f565b3f4943","resolution":{"observed_at":"2026-07-12T05:52:48.229106Z","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":"10.1016/j.aim.2017.03.027","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Moduli stacks of","venue":"Advances in Mathematics","work_id":"cdc8b70d-cb30-41cd-a65d-bda283ed5ee6","year":2017},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:93f5c3c57463ef6d68b1183f15977216d72b91a56df839451b0f7214924e790d","observation_id":"d96a9ef7-8264-4ae8-b832-ae69992d8c60","resolution":{"observed_at":"2026-07-12T05:58:32.756576Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-07-12T05:52:48.229106Z","title":"and Little, John B","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:27f1bc1aec9b3a4571ea743ded9eb834b63285506fe25fa2f3a78186ee4c8793","observation_id":"c27ed38b-13c1-4ee9-b66e-80aaabc84bfa","resolution":{"observed_at":"2026-07-12T05:52:48.229106Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T05:52:48.229106Z","title":"1995 , PAGES =","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:dfa19a21ff464b647621b2957503796f2d856888c8048d100b0f2b28569ac461","observation_id":"72a06a7f-178f-4769-bbda-fcb9e96c805b","resolution":{"observed_at":"2026-07-12T05:52:48.229106Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T05:52:48.229106Z","title":"2016 , publisher=","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:6fd2ebff4f65c9b35edd36bc491856d2caa4097eaff4a0f78a445c64e5e280f4","observation_id":"a3f96cb2-8670-4c3a-adf7-bedcd656e369","resolution":{"observed_at":"2026-07-12T05:52:48.229106Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T05:52:48.229106Z","title":"1993 , PAGES =","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:1e495e001dbcb88930a06b3a48f5ae8610596761691e5b1df36738bcb832ab93","observation_id":"40cf2368-6e79-4d57-ba14-ec711814ee09","resolution":{"observed_at":"2026-07-12T05:52:48.229106Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T05:52:48.229106Z","title":"Dix expos\\'","venue":null,"work_id":null,"year":1968},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":43,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:ac4535d208a57e0b87a917f8893498b60442a1b319c2115192710baecef46d7d","observation_id":"3f2d1df7-8586-40e5-8745-f975c4bdaaff","resolution":{"observed_at":"2026-07-12T05:52:48.229106Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T05:52:48.229106Z","title":"Central simple algebras and","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":44,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:f9f48daad8b6cd9a08e9b7f9a8bde0abc6c3de64c62ae18ff436d0edc7c3d031","observation_id":"c03fa3df-2bd7-4c2a-8022-ef7155f422e3","resolution":{"observed_at":"2026-07-12T05:52:48.229106Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T05:52:48.229106Z","title":"Singularities, representation of algebras, and vector bundles (","venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":45,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:dc83e908e9550ca972beaed61514181660dd7e8e6fb1d968b08b9daf7dfb918c","observation_id":"07b3f9e2-35fd-407f-8fc7-aa200d1acf2b","resolution":{"observed_at":"2026-07-12T05:52:48.229106Z","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":"2021.108013","doi":"10.1016/j.aim.2021.108013","metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Advances in Mathematics","work_id":"ecc48dbd-5d9b-4751-a132-20a112837176","year":2021},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":46,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:7e3589a438b3682c9846df760c3c6d6fd85db68ead5057cd8c80c3ed1fb3e88f","observation_id":"931781b7-6093-433d-a10f-3c78d3f99e03","resolution":{"observed_at":"2026-07-12T05:58:32.744185Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-07-12T05:52:48.229106Z","title":"1977 , PAGES =","venue":null,"work_id":null,"year":1977},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":47,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:6d5826956069f3d12ef0a5d83577e5d901f5a5ee64e12259087609ab4d487cd1","observation_id":"631a8801-bdf9-4370-8844-4a613a143fd3","resolution":{"observed_at":"2026-07-12T05:52:48.229106Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T05:52:48.229106Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":48,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:ab8eb463ea89af83682ec6d2045c907a95613eb989d4fb368ce27392adc86ad7","observation_id":"a1f21c3a-75f1-49a1-883c-bcf952e705b7","resolution":{"observed_at":"2026-07-12T05:52:48.229106Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T05:52:48.229106Z","title":"Category theory , pages=","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":49,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:3f71b427df37481c95d2432445d4e0291081c24a79ae79d0a8483c9653ab76dd","observation_id":"04db4b1b-6171-40cd-bd3a-77297898051d","resolution":{"observed_at":"2026-07-12T05:52:48.229106Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T05:52:48.229106Z","title":null,"venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":50,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:89a86aded9a2f70be2dbf7c26cc95c754a2de008c79d09defde172f70592469e","observation_id":"b17504da-9ed0-4c02-988b-c70c2167d07e","resolution":{"observed_at":"2026-07-12T05:52:48.229106Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T05:52:48.229106Z","title":null,"venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":51,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:1230223aa1ecc7cc8af4297871c616cdedf16e641320b21675856dec6bb47018","observation_id":"de5f7e0f-c291-4cef-95e5-4bb0ece67733","resolution":{"observed_at":"2026-07-12T05:52:48.229106Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T05:52:48.229106Z","title":"Birational geometry of algebraic varieties , SERIES =","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":52,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:cbc956eaa91b52c3e96564da9b66cb06b1fbdb7bda145a773a13d2d8fcd445a2","observation_id":"3bd57ac1-e21b-4c72-91e7-29c2fb008f1b","resolution":{"observed_at":"2026-07-12T05:52:48.229106Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T05:52:48.229106Z","title":"Singularities of the minimal model program , SERIES =","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":53,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:32d1790655fcad439532931e6196ff2c714e2c61a063f8ceb100ebdc1f3590ac","observation_id":"25d0d653-d81f-4ec8-b2b1-bd8b03ed73ae","resolution":{"observed_at":"2026-07-12T05:52:48.229106Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T05:52:48.229106Z","title":"preprint , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":54,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:9065c3b368103307180bbbbb4b25cf9914b4020e6186c2edd8d7f88ef7777735","observation_id":"50ba5d8b-87eb-46b7-a1a1-f54b77118d59","resolution":{"observed_at":"2026-07-12T05:52:48.229106Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T05:52:48.229106Z","title":"Algebraic geometry---","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":55,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:c6ec2943c95f3c0a0625020d3d96c0ef45514358c2039c07475b6d24bd8730e2","observation_id":"8ab82dae-a7b5-43ea-9440-7097ffd9f2e0","resolution":{"observed_at":"2026-07-12T05:52:48.229106Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T05:52:48.229106Z","title":", TITLE =","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":56,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:18bb36dd303f3c9bae3e8a7de7b63e6dfb316fbcf4c17a5d8f52b5ec53a31351","observation_id":"c7e7db20-4f38-45fa-8203-f2a3948ddbac","resolution":{"observed_at":"2026-07-12T05:52:48.229106Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T05:52:48.229106Z","title":null,"venue":null,"work_id":null,"year":1969},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":57,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:e1e9f4de838f7f99bb23fa2ea00743c7539f317359716849567e625b55a0231e","observation_id":"13889608-654b-4f92-9e4f-5e163e8acba4","resolution":{"observed_at":"2026-07-12T05:52:48.229106Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T05:52:48.229106Z","title":"2002 , publisher=","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":58,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:720eefa8f2aeabe90e4bc7df18f050378dae0fb6463b84876f76cb6d1835670d","observation_id":"8eb6bdfc-7f21-4c06-af25-b07c3d38a783","resolution":{"observed_at":"2026-07-12T05:52:48.229106Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T05:52:48.229106Z","title":"2000 , PAGES =","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":59,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:df39d69788e84c9bd475a211b7cf077f07d5a4131cb08ea0e677f8b1c1d25f85","observation_id":"0f50a69a-9b4d-4cde-bb33-c9cd37ffcf6f","resolution":{"observed_at":"2026-07-12T05:52:48.229106Z","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":"10.1007/978-3-642-18808-4_6","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Vanishing Theorems","venue":null,"work_id":"d44fa89b-a8a7-4402-a2d2-fcd89829ed43","year":2004},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":60,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:a928aebe79a396f56928c6e216debc23420ae4d8ff00428e5ce55e9a92ed28ac","observation_id":"a71ee7c8-7e90-49da-a34a-12a75fb613a4","resolution":{"observed_at":"2026-07-12T05:58:32.744952Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"math/0412266","last_updated":"2005-03-23T00:06:11Z","snapshot_observed_at":"2026-08-08T19:46:30.998211Z","submitted_at":"2004-12-14T00:51:56Z","title":"Tannaka Duality for Geometric Stacks","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"math/0412266","snapshot_observed_at":"2026-07-12T05:52:48.229106Z","title":"arXiv preprint math/0412266 , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":61,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"cited_paper":"/paper/math/0412266","citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:a1270f840946e3a3cc89a6197caace48a27be7cdf7d617d348810081950d3b43","observation_id":"474fc645-8643-4ca4-9915-728051a4c3bc","resolution":{"observed_at":"2026-07-12T05:52:48.229106Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T05:52:48.229106Z","title":"2013 , publisher=","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":62,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:7efb6549f8dfae4aef62bee89b284f84aff93c872a19c1969d3be92403677210","observation_id":"394070e7-28fc-4e1c-8c5a-615b76d15b1f","resolution":{"observed_at":"2026-07-12T05:52:48.229106Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T05:52:48.229106Z","title":", TITLE =","venue":null,"work_id":null,"year":1980},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":63,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:031928f92acf236a82fc3219b63eef7584e4eca796b3fdd615ed130a02349e0f","observation_id":"af422258-6937-4c9d-97a3-544b20459b04","resolution":{"observed_at":"2026-07-12T05:52:48.229106Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T05:52:48.229106Z","title":"and Fogarty, J","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":64,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:281946b651d5c9dd39b670e2d79e7d7434951817340594e0f0518db632fe42db","observation_id":"b68bacf9-154e-47db-b841-a7f92002de06","resolution":{"observed_at":"2026-07-12T05:52:48.229106Z","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":"10.1016/j.jalgebra.2012.08.013","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Journal of Algebra","work_id":"f7ffb571-e8d8-4558-bf03-d117e82ec1e6","year":2012},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":65,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:e9a8acb5599cff9eb672c8cfa34ad8a4d99e89d9a496866cde1ea5b81d4fb013","observation_id":"d30e000e-cd83-4f35-b1f1-da3e0ce4e307","resolution":{"observed_at":"2026-07-12T05:58:32.728128Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1081/agb-120022454","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Communications in Algebra","work_id":"3ea21015-569e-4726-8bf5-fea072aa5edc","year":2003},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":66,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:a1013bdeaaa5b1e202948b35b31be81468fb5384a8ca1a9441b982b0d48dd1a8","observation_id":"3aad2abb-d63a-4b9f-b333-879c2f5f5967","resolution":{"observed_at":"2026-07-12T05:58:32.723473Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.2307/1995367","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Transactions of the American Mathematical Society","work_id":"1c22250a-3d2a-492d-9540-2fa9f16401cf","year":1969},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":67,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:2c9a11f7fc89c9e705e4be340d29fead3cc1f2296d0c8ac891a910a3ad59bc4c","observation_id":"e402b4df-c855-4ecf-b916-949f1de26143","resolution":{"observed_at":"2026-07-12T05:58:32.720861Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-07-12T05:52:48.229106Z","title":", TITLE =","venue":null,"work_id":null,"year":1975},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":68,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:db5de249f7bda77366c896cf3ed9e7aa9d1c6fd4e339ee2703846425d6ba16b8","observation_id":"7a33c8a1-5872-4dc1-bf7e-8f998e93093e","resolution":{"observed_at":"2026-07-12T05:52:48.229106Z","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":"10.1007/bf01389096","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Inventiones mathematicae","work_id":"832a16bb-dcf4-43c7-b070-a1b848ccccc4","year":1986},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":69,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:f18ed4ea436f031a039ef04cd7d99ccb216fd761fc9f4f32ac6316dc3761b9e6","observation_id":"cce2a2c7-a78f-46fd-bbc6-15d49f3ef0d2","resolution":{"observed_at":"2026-07-12T05:58:32.725141Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.2307/1971517","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Annals of Mathematics","work_id":"7a64e0ea-c0b9-4d7e-9d1c-c115eba457b3","year":1989},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":70,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:392b1e4dc705bb525bb1fd5a18bb138c8f93b4dfa07771750e3fac257939a7b9","observation_id":"3598ede2-02f5-4ce3-8fe5-078111ee7265","resolution":{"observed_at":"2026-07-12T05:58:32.813564Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.jalgebra.2008.02.028","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":", TITLE =","venue":"Journal of Algebra","work_id":"fbec51f9-e275-41a5-97c4-d47517ab1852","year":2008},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":71,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:f43727e45e6dff939cedcb836406ff06991ed397ca189ed1b631bd2f3e566320","observation_id":"c0ba6c7d-a9b2-4744-899f-b37e85c72cf3","resolution":{"observed_at":"2026-07-12T05:58:32.712805Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-07-12T05:52:48.229106Z","title":"Graduate Texts in Mathematics , pages=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":72,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:df6713ec50e93ba10b65fed1b6893306081d71f373276a4817c96d38de775c88","observation_id":"23115119-0300-4986-a890-f83f1cabdb82","resolution":{"observed_at":"2026-07-12T05:52:48.229106Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T05:52:48.229106Z","title":", TITLE =","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds","version":1},"reference_index":73,"source":"arxiv_source","source_observed_at":"2026-07-12T05:52:48.229106Z"},"links":{"citing_paper":"/paper/2607.02950"},"observation_digest":"sha256:ff95256cd874d27fd12c9ae05643aadb5b104d91dc83a4ea7d26bdf5a9d6498f","observation_id":"e9eee43e-2bd5-44de-9060-7f208dd5251e","resolution":{"observed_at":"2026-07-12T05:52:48.229106Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.02950","last_updated":"2026-07-03T04:50:30Z","latest_version":1,"primary_category":"math.AG","snapshot_observed_at":"2026-07-30T22:35:44.851616Z","submitted_at":"2026-07-03T04:50:30Z","title":"Some terminal orders on 3-folds"},"reference_resolution":{"displayed":73,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":2,"unresolved":51,"verified_exact":20,"verified_fuzzy":0},"total_outbound_references":73},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 73 of 73 outbound references and 0 inbound Pith citation observations for arXiv:2607.02950."}