{"as_of":"2026-08-10T02:34:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:70c83d1205b20e4ec0bf266c2a014e2c5496d609e3696bd4ce7d04f824a73172","coverage":[{"denominator":51,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":51,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-03T19:19:05.005034Z","state":"measured"},{"denominator":52,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":52,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-30T12:46:30.761367Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":1,"source":"pith","source_observed_at":"2026-08-05T02:28:24.338817Z","state":"measured"}],"external_citation_measurements":[{"count":0,"observed_at":"2026-08-05T02:28:24.338817Z","source":"pith"}],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2512.01516","last_updated":"2026-07-09T08:11:48Z","snapshot_observed_at":"2026-08-03T19:18:56.283722Z","submitted_at":"2025-12-01T10:40:14Z","title":"On the Morrison-Kawamata dream space and its applications","version":2},"cited_work":{"arxiv_id":"2512.01516","doi":"10.48550/arxiv.2512.01516","metadata_source":"pith","pith_arxiv_id":"2512.01516","snapshot_observed_at":"2026-08-05T02:49:54.815029Z","title":"On the Morrison-Kawamata dream space and its applications","venue":"math.AG","work_id":"e2883e45-7312-4bbf-98fc-d6cdcab93068","year":2025},"citing_paper":{"arxiv_id":"2607.27048","last_updated":"2026-07-29T15:39:06Z","snapshot_observed_at":"2026-08-09T05:06:49.463327Z","submitted_at":"2026-07-29T15:39:06Z","title":"On the boundedness of elliptic Calabi-Yau 4-folds","version":1},"reference_index":124,"source":"arxiv_source","source_observed_at":"2026-07-30T12:46:30.761367Z"},"links":{"cited_paper":"/paper/2512.01516","citing_paper":"/paper/2607.27048"},"observation_digest":"sha256:44736b5074f7a6b5f5bde2248b2f479dd59adaffba83372723c7a7fde1904da6","observation_id":"67072fc4-23ff-45c8-8b89-5a6da8ad298e","resolution":{"observed_at":"2026-07-30T12:51:25.511498Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2512.01516/citation-record","integrity":"/paper/2512.01516/integrity","json":"/paper/2512.01516/citation-record.json","paper":"/paper/2512.01516"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T19:18:59.680062Z","title":"Existence of minimal models for varieties of log general type","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2512.01516","last_updated":"2026-07-09T08:11:48Z","snapshot_observed_at":"2026-08-03T19:18:56.283722Z","submitted_at":"2025-12-01T10:40:14Z","title":"On the Morrison-Kawamata dream space and its applications","version":2},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-03T19:18:59.680062Z"},"links":{"citing_paper":"/paper/2512.01516"},"observation_digest":"sha256:01e8987ad6689dc5e5b1f67d9a5df19428a62801ca4e1baff33113f33e13e4e7","observation_id":"2c2b3dab-1410-4bd4-89d9-8c4783eb4cf8","resolution":{"observed_at":"2026-08-03T19:18:59.680062Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T19:18:59.785844Z","title":"The pseudo-effective cone of a compact K \\\"ahler manifold and varieties of negative K odaira dimension","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2512.01516","last_updated":"2026-07-09T08:11:48Z","snapshot_observed_at":"2026-08-03T19:18:56.283722Z","submitted_at":"2025-12-01T10:40:14Z","title":"On the Morrison-Kawamata dream space and its applications","version":2},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-03T19:18:59.785844Z"},"links":{"citing_paper":"/paper/2512.01516"},"observation_digest":"sha256:5fd42be937a9243dac21afa167c4534071078ba4177c5205fbc408939d9070f3","observation_id":"05557855-fc02-43ba-9ab9-128ede9493c3","resolution":{"observed_at":"2026-08-03T19:18:59.785844Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T19:18:59.872472Z","title":"Polarized pairs, log minimal models, and Z ariski decompositions","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2512.01516","last_updated":"2026-07-09T08:11:48Z","snapshot_observed_at":"2026-08-03T19:18:56.283722Z","submitted_at":"2025-12-01T10:40:14Z","title":"On the Morrison-Kawamata dream space and its applications","version":2},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-03T19:18:59.872472Z"},"links":{"citing_paper":"/paper/2512.01516"},"observation_digest":"sha256:bbe5b3faa39496793e7de72d48129ff522fc87d3e925704b2232b0615104906c","observation_id":"5e36f1a4-2993-4de9-ac39-96f495d8e78b","resolution":{"observed_at":"2026-08-03T19:18:59.872472Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T19:18:59.945217Z","title":"On existence of log minimal models II","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2512.01516","last_updated":"2026-07-09T08:11:48Z","snapshot_observed_at":"2026-08-03T19:18:56.283722Z","submitted_at":"2025-12-01T10:40:14Z","title":"On the Morrison-Kawamata dream space and its applications","version":2},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-03T19:18:59.945217Z"},"links":{"citing_paper":"/paper/2512.01516"},"observation_digest":"sha256:10adb6a011ef8b6fd0b9d4c6fd2a24d0506d3a1691cce4683bb8f493361e9c5f","observation_id":"0aceeb59-086b-4a5d-bf87-6394691e9b4f","resolution":{"observed_at":"2026-08-03T19:18:59.945217Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T19:19:00.013086Z","title":"Singularities on F ano fibrations and beyond","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2512.01516","last_updated":"2026-07-09T08:11:48Z","snapshot_observed_at":"2026-08-03T19:18:56.283722Z","submitted_at":"2025-12-01T10:40:14Z","title":"On the Morrison-Kawamata dream space and its applications","version":2},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-03T19:19:00.013086Z"},"links":{"citing_paper":"/paper/2512.01516"},"observation_digest":"sha256:f3d56107eaa5d28d9e1612b7feb00d5cc1a941776cab7c4f6dd7a51a0e872a57","observation_id":"f34da50f-55c0-4cdc-b681-3e7b7bba525b","resolution":{"observed_at":"2026-08-03T19:19:00.013086Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T19:19:00.079075Z","title":"Boundedness of complements for generalized pairs","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2512.01516","last_updated":"2026-07-09T08:11:48Z","snapshot_observed_at":"2026-08-03T19:18:56.283722Z","submitted_at":"2025-12-01T10:40:14Z","title":"On the Morrison-Kawamata dream space and its applications","version":2},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-03T19:19:00.079075Z"},"links":{"citing_paper":"/paper/2512.01516"},"observation_digest":"sha256:84967f5ff86158cf8a68ee783e3f24824ed050c045265edf83b7bd57080152e7","observation_id":"ba1c5eb1-8e9b-46e7-8029-b6e15b6a8f80","resolution":{"observed_at":"2026-08-03T19:19:00.079075Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T19:19:00.165900Z","title":"The geography of log models and its applications","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2512.01516","last_updated":"2026-07-09T08:11:48Z","snapshot_observed_at":"2026-08-03T19:18:56.283722Z","submitted_at":"2025-12-01T10:40:14Z","title":"On the Morrison-Kawamata dream space and its applications","version":2},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-03T19:19:00.165900Z"},"links":{"citing_paper":"/paper/2512.01516"},"observation_digest":"sha256:2172314243c3c60b957d512db02137f692a08fa0699e6b48c80760275cb70e34","observation_id":"0f132b32-51f1-4a27-8030-333aa9ebcaaf","resolution":{"observed_at":"2026-08-03T19:19:00.165900Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2504.04109","last_updated":"2026-06-26T04:56:15Z","snapshot_observed_at":"2026-08-07T16:08:25.135434Z","submitted_at":"2025-04-05T09:03:32Z","title":"Variation of cones of divisors in a family of varieties -- Fano type case","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2504.04109","snapshot_observed_at":"2026-08-03T19:19:00.269560Z","title":"Variation of cones of divisors in a family of varieties-- F ano type case","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2512.01516","last_updated":"2026-07-09T08:11:48Z","snapshot_observed_at":"2026-08-03T19:18:56.283722Z","submitted_at":"2025-12-01T10:40:14Z","title":"On the Morrison-Kawamata dream space and its applications","version":2},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-03T19:19:00.269560Z"},"links":{"cited_paper":"/paper/2504.04109","citing_paper":"/paper/2512.01516"},"observation_digest":"sha256:1522529bd6f5d0e1cac904a6e6f9f8d6cb6f5589e15f9a2546e765fe2c093ada","observation_id":"aedf3592-ac5c-4393-924b-350f0bed31c2","resolution":{"observed_at":"2026-08-03T19:19:00.269560Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T19:19:00.392695Z","title":null,"venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2512.01516","last_updated":"2026-07-09T08:11:48Z","snapshot_observed_at":"2026-08-03T19:18:56.283722Z","submitted_at":"2025-12-01T10:40:14Z","title":"On the Morrison-Kawamata dream space and its applications","version":2},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-03T19:19:00.392695Z"},"links":{"citing_paper":"/paper/2512.01516"},"observation_digest":"sha256:c11d0e0f66acc6faec2d34d2c85e77167f1662f40a2ec711c8ffbd607d90f077","observation_id":"35dd87eb-9636-4ce6-a309-c0840171fe82","resolution":{"observed_at":"2026-08-03T19:19:00.392695Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T19:19:00.472830Z","title":"Extension theorems, non-vanishing and the existence of good minimal models","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2512.01516","last_updated":"2026-07-09T08:11:48Z","snapshot_observed_at":"2026-08-03T19:18:56.283722Z","submitted_at":"2025-12-01T10:40:14Z","title":"On the Morrison-Kawamata dream space and its applications","version":2},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-03T19:19:00.472830Z"},"links":{"citing_paper":"/paper/2512.01516"},"observation_digest":"sha256:087d8707a79304b168f2b6d3f8806b3e4f42546671ccd129991d8d083c6d39f1","observation_id":"33b4c937-835a-4363-a644-c0a2b9a08aa2","resolution":{"observed_at":"2026-08-03T19:19:00.472830Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T19:19:00.541948Z","title":"Boundedness of elliptic C alabi-- Y au threefolds","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2512.01516","last_updated":"2026-07-09T08:11:48Z","snapshot_observed_at":"2026-08-03T19:18:56.283722Z","submitted_at":"2025-12-01T10:40:14Z","title":"On the Morrison-Kawamata dream space and its applications","version":2},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-03T19:19:00.541948Z"},"links":{"citing_paper":"/paper/2512.01516"},"observation_digest":"sha256:dd1f0016af1c549101b619b094f479dac2cae4f7e7d280778dbc11b7933cb165","observation_id":"d7bd5323-5475-487b-8fd0-03ba12bd36a8","resolution":{"observed_at":"2026-08-03T19:19:00.541948Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T19:19:00.646041Z","title":"Families of rationally connected varieties","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2512.01516","last_updated":"2026-07-09T08:11:48Z","snapshot_observed_at":"2026-08-03T19:18:56.283722Z","submitted_at":"2025-12-01T10:40:14Z","title":"On the Morrison-Kawamata dream space and its applications","version":2},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-03T19:19:00.646041Z"},"links":{"citing_paper":"/paper/2512.01516"},"observation_digest":"sha256:07b2ce1210092f6c0e23e15ab797a6b70831d47fd4c43478ee47a1d1c3417a31","observation_id":"2cd638fa-5f3e-4562-87a7-5a284a076d66","resolution":{"observed_at":"2026-08-03T19:19:00.646041Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T19:19:00.713046Z","title":"The effective cone conjecture for C alabi-- Y au pairs","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2512.01516","last_updated":"2026-07-09T08:11:48Z","snapshot_observed_at":"2026-08-03T19:18:56.283722Z","submitted_at":"2025-12-01T10:40:14Z","title":"On the Morrison-Kawamata dream space and its applications","version":2},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-03T19:19:00.713046Z"},"links":{"citing_paper":"/paper/2512.01516"},"observation_digest":"sha256:81acb9dbe9ef3f23cc8e65779a8bb1a35355e5d13814b84632ed82f7a83ff245","observation_id":"ebd7a6bd-165c-47f5-87b5-aa14dc2210d5","resolution":{"observed_at":"2026-08-03T19:19:00.713046Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T19:19:00.806019Z","title":"Abundance theorem for numerically trivial log canonical divisors of semi-log canonical pairs","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2512.01516","last_updated":"2026-07-09T08:11:48Z","snapshot_observed_at":"2026-08-03T19:18:56.283722Z","submitted_at":"2025-12-01T10:40:14Z","title":"On the Morrison-Kawamata dream space and its applications","version":2},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-03T19:19:00.806019Z"},"links":{"citing_paper":"/paper/2512.01516"},"observation_digest":"sha256:cceb4a4d4a40e440f8a0dd6637c24a92157e42f43db5ca2f1e72e991d89f4c01","observation_id":"b1f1a0f4-87d5-4085-a8e7-fc325361cb23","resolution":{"observed_at":"2026-08-03T19:19:00.806019Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T19:19:00.893457Z","title":"Algebraic geometry","venue":null,"work_id":null,"year":1977},"citing_paper":{"arxiv_id":"2512.01516","last_updated":"2026-07-09T08:11:48Z","snapshot_observed_at":"2026-08-03T19:18:56.283722Z","submitted_at":"2025-12-01T10:40:14Z","title":"On the Morrison-Kawamata dream space and its applications","version":2},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-03T19:19:00.893457Z"},"links":{"citing_paper":"/paper/2512.01516"},"observation_digest":"sha256:d4af606a3177be22ea3710951dfdbd31589f24fcbb642b8e2a8d10dcbddf695c","observation_id":"39faa0ed-f708-4213-b3e8-0ce983846531","resolution":{"observed_at":"2026-08-03T19:19:00.893457Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T19:19:00.962743Z","title":"Mori dream spaces and GIT","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2512.01516","last_updated":"2026-07-09T08:11:48Z","snapshot_observed_at":"2026-08-03T19:18:56.283722Z","submitted_at":"2025-12-01T10:40:14Z","title":"On the Morrison-Kawamata dream space and its applications","version":2},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-03T19:19:00.962743Z"},"links":{"citing_paper":"/paper/2512.01516"},"observation_digest":"sha256:bb6684ea5ade97dec6d98f30ea8eefe535adc6b816d0104a7f0e9325d19f0bc3","observation_id":"b9fc098a-8c2d-43a8-b154-2c2526c9f642","resolution":{"observed_at":"2026-08-03T19:19:00.962743Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T19:19:01.059206Z","title":"On S hokurov's rational connectedness conjecture","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2512.01516","last_updated":"2026-07-09T08:11:48Z","snapshot_observed_at":"2026-08-03T19:18:56.283722Z","submitted_at":"2025-12-01T10:40:14Z","title":"On the Morrison-Kawamata dream space and its applications","version":2},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-03T19:19:01.059206Z"},"links":{"citing_paper":"/paper/2512.01516"},"observation_digest":"sha256:77819ff8ff2a26def6a249db7723e17bea6896e2df1802ec12fc923a787347bc","observation_id":"8d73e481-69b1-4cb2-af8a-f39dc835a132","resolution":{"observed_at":"2026-08-03T19:19:01.059206Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T19:19:01.128845Z","title":"A CC for log canonical thresholds","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2512.01516","last_updated":"2026-07-09T08:11:48Z","snapshot_observed_at":"2026-08-03T19:18:56.283722Z","submitted_at":"2025-12-01T10:40:14Z","title":"On the Morrison-Kawamata dream space and its applications","version":2},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-03T19:19:01.128845Z"},"links":{"citing_paper":"/paper/2512.01516"},"observation_digest":"sha256:648a408c970d89f62e5097aba5374abb24964fcb7f4ff52520985d407b76f795","observation_id":"7ee244a1-f4f4-4494-b6b9-d201913de6f8","resolution":{"observed_at":"2026-08-03T19:19:01.128845Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T19:19:01.217786Z","title":"Boundedness of moduli of varieties of general type","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2512.01516","last_updated":"2026-07-09T08:11:48Z","snapshot_observed_at":"2026-08-03T19:18:56.283722Z","submitted_at":"2025-12-01T10:40:14Z","title":"On the Morrison-Kawamata dream space and its applications","version":2},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-03T19:19:01.217786Z"},"links":{"citing_paper":"/paper/2512.01516"},"observation_digest":"sha256:63f0faee164c70c541bc23c74cc735ec13437ef3a970de035ff591337139093f","observation_id":"72e3a34a-f5dc-40ba-97d2-28012b1f80e1","resolution":{"observed_at":"2026-08-03T19:19:01.217786Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.11987","last_updated":"2024-10-15T18:51:17Z","snapshot_observed_at":"2026-07-06T19:34:10.252984Z","submitted_at":"2024-10-15T18:51:17Z","title":"On the relative cone conjecture for families of IHS manifolds","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.11987","snapshot_observed_at":"2026-08-03T19:19:01.291213Z","title":"On the relative cone conjecture for families of IHS manifolds","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2512.01516","last_updated":"2026-07-09T08:11:48Z","snapshot_observed_at":"2026-08-03T19:18:56.283722Z","submitted_at":"2025-12-01T10:40:14Z","title":"On the Morrison-Kawamata dream space and its applications","version":2},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-03T19:19:01.291213Z"},"links":{"cited_paper":"/paper/2410.11987","citing_paper":"/paper/2512.01516"},"observation_digest":"sha256:005737539d7533b846dc70a608108fbe10a492cb1de9e602623d0a3544c9467c","observation_id":"7d82365c-e4fa-456f-aa77-55195172670d","resolution":{"observed_at":"2026-08-03T19:19:01.291213Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T19:19:01.337870Z","title":"Hacon and Chenyang Xu","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2512.01516","last_updated":"2026-07-09T08:11:48Z","snapshot_observed_at":"2026-08-03T19:18:56.283722Z","submitted_at":"2025-12-01T10:40:14Z","title":"On the Morrison-Kawamata dream space and its applications","version":2},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-03T19:19:01.337870Z"},"links":{"citing_paper":"/paper/2512.01516"},"observation_digest":"sha256:a0e52fb934510147d9ad9b0846f313b74ddf50723cc0b5da7fd99d73e4b22b8a","observation_id":"78102435-8676-4b10-a927-13e75ce1129a","resolution":{"observed_at":"2026-08-03T19:19:01.337870Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T19:19:01.465898Z","title":"A L efschetz hyperplane theorem for M ori dream spaces","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2512.01516","last_updated":"2026-07-09T08:11:48Z","snapshot_observed_at":"2026-08-03T19:18:56.283722Z","submitted_at":"2025-12-01T10:40:14Z","title":"On the Morrison-Kawamata dream space and its applications","version":2},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-03T19:19:01.465898Z"},"links":{"citing_paper":"/paper/2512.01516"},"observation_digest":"sha256:8e53f69c50edae3ef2b857f556962d73e3b708fd8f7967fb5fdc4cd2c23e03e9","observation_id":"1cb9bdcf-b525-4c54-befb-5faf37bd6831","resolution":{"observed_at":"2026-08-03T19:19:01.465898Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T19:19:01.557993Z","title":"Crepant blowing-up of 3-dimensional canonical singularities and its application to degenerations of surfaces","venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2512.01516","last_updated":"2026-07-09T08:11:48Z","snapshot_observed_at":"2026-08-03T19:18:56.283722Z","submitted_at":"2025-12-01T10:40:14Z","title":"On the Morrison-Kawamata dream space and its applications","version":2},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-03T19:19:01.557993Z"},"links":{"citing_paper":"/paper/2512.01516"},"observation_digest":"sha256:f3b34f4db0f22d31652a191325a1b660cc7254e5875b1fb38fb0cde5dc333e1a","observation_id":"ff003391-f64d-4c01-b070-70ededa58278","resolution":{"observed_at":"2026-08-03T19:19:01.557993Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T19:19:01.627246Z","title":"On the cone of divisors of C alabi- Y au fiber spaces","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2512.01516","last_updated":"2026-07-09T08:11:48Z","snapshot_observed_at":"2026-08-03T19:18:56.283722Z","submitted_at":"2025-12-01T10:40:14Z","title":"On the Morrison-Kawamata dream space and its applications","version":2},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-03T19:19:01.627246Z"},"links":{"citing_paper":"/paper/2512.01516"},"observation_digest":"sha256:dc36082c521d4205bc458a510e248d1269739f4ab270f632f2d97d0329630799","observation_id":"76303b7c-f8af-4e81-8310-e6bb76c1e5c6","resolution":{"observed_at":"2026-08-03T19:19:01.627246Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T19:19:01.687932Z","title":"Finite generation and geography of models","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2512.01516","last_updated":"2026-07-09T08:11:48Z","snapshot_observed_at":"2026-08-03T19:18:56.283722Z","submitted_at":"2025-12-01T10:40:14Z","title":"On the Morrison-Kawamata dream space and its applications","version":2},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-03T19:19:01.687932Z"},"links":{"citing_paper":"/paper/2512.01516"},"observation_digest":"sha256:a1295cf48821fb8b6d0ba7dbba06d377d631238c390ad2f7aa4b3539494504c0","observation_id":"657e5157-0cc1-4e5e-96f2-033fbd4903c8","resolution":{"observed_at":"2026-08-03T19:19:01.687932Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T19:19:01.819685Z","title":"The P icard scheme","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2512.01516","last_updated":"2026-07-09T08:11:48Z","snapshot_observed_at":"2026-08-03T19:18:56.283722Z","submitted_at":"2025-12-01T10:40:14Z","title":"On the Morrison-Kawamata dream space and its applications","version":2},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-03T19:19:01.819685Z"},"links":{"citing_paper":"/paper/2512.01516"},"observation_digest":"sha256:11b2bb5cc90032f735c3425a28a1fed50dede48307e6e0a4a023dadffcfab1f7","observation_id":"9448b602-23ec-4054-b4f7-21445bf902a4","resolution":{"observed_at":"2026-08-03T19:19:01.819685Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T19:19:01.949785Z","title":"Birational geometry of algebraic varieties , volume 134 of Cambridge Tracts in Mathematics","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2512.01516","last_updated":"2026-07-09T08:11:48Z","snapshot_observed_at":"2026-08-03T19:18:56.283722Z","submitted_at":"2025-12-01T10:40:14Z","title":"On the Morrison-Kawamata dream space and its applications","version":2},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-03T19:19:01.949785Z"},"links":{"citing_paper":"/paper/2512.01516"},"observation_digest":"sha256:47673b4165c4ef938d058431ff72e4c718dc0caeea7cc62ad91cfd50e02e1866","observation_id":"27f4b1ef-aac6-4f63-931d-2ce6d4924336","resolution":{"observed_at":"2026-08-03T19:19:01.949785Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T19:19:02.130878Z","title":"Rational curves on algebraic varieties , volume 32 of Results in Mathematics and Related Areas","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2512.01516","last_updated":"2026-07-09T08:11:48Z","snapshot_observed_at":"2026-08-03T19:18:56.283722Z","submitted_at":"2025-12-01T10:40:14Z","title":"On the Morrison-Kawamata dream space and its applications","version":2},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-03T19:19:02.130878Z"},"links":{"citing_paper":"/paper/2512.01516"},"observation_digest":"sha256:9eec6d4bf02f07ad87b1386a2454bd824a30417258f1dbeb3d5b186cf020e288","observation_id":"eca26d56-cd53-4e0a-be8e-823485c6d7d5","resolution":{"observed_at":"2026-08-03T19:19:02.130878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T19:19:02.244900Z","title":"Positivity in algebraic geometry","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2512.01516","last_updated":"2026-07-09T08:11:48Z","snapshot_observed_at":"2026-08-03T19:18:56.283722Z","submitted_at":"2025-12-01T10:40:14Z","title":"On the Morrison-Kawamata dream space and its applications","version":2},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-03T19:19:02.244900Z"},"links":{"citing_paper":"/paper/2512.01516"},"observation_digest":"sha256:2c2e45079afacdd581e70f9ba93a5eb29d5eda85840373d47711c4b5519c58a4","observation_id":"9e5cd827-7a8c-4638-8b29-42af3f05b027","resolution":{"observed_at":"2026-08-03T19:19:02.244900Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2309.04673","last_updated":"2023-09-09T03:40:41Z","snapshot_observed_at":"2026-08-08T21:51:01.916493Z","submitted_at":"2023-09-09T03:40:41Z","title":"On the relative Morrison-Kawamata cone conjecture (II)","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2309.04673","snapshot_observed_at":"2026-08-03T19:19:02.414659Z","title":"On the relative M orrison- K awamata cone conjecture ( II )","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2512.01516","last_updated":"2026-07-09T08:11:48Z","snapshot_observed_at":"2026-08-03T19:18:56.283722Z","submitted_at":"2025-12-01T10:40:14Z","title":"On the Morrison-Kawamata dream space and its applications","version":2},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-03T19:19:02.414659Z"},"links":{"cited_paper":"/paper/2309.04673","citing_paper":"/paper/2512.01516"},"observation_digest":"sha256:1fa1544180895da482d4be4b5db4223fda67509950bdde27f360dadcaad7c8cf","observation_id":"39685285-3c35-4df4-ad7c-e719789d2529","resolution":{"observed_at":"2026-08-03T19:19:02.414659Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T19:19:02.564411Z","title":"Discrete automorphism groups of convex cones of finite type","venue":null,"work_id":null,"year":1939},"citing_paper":{"arxiv_id":"2512.01516","last_updated":"2026-07-09T08:11:48Z","snapshot_observed_at":"2026-08-03T19:18:56.283722Z","submitted_at":"2025-12-01T10:40:14Z","title":"On the Morrison-Kawamata dream space and its applications","version":2},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-03T19:19:02.564411Z"},"links":{"citing_paper":"/paper/2512.01516"},"observation_digest":"sha256:5cd994b5d4b59766efe9506763ad48978f4585da18f17cd9ac73a17d87f43acb","observation_id":"bb2bd1a1-19c7-4861-9756-95a6b71956e8","resolution":{"observed_at":"2026-08-03T19:19:02.564411Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T19:19:02.711464Z","title":"The M orrison- K awamata cone conjecture and abundance on R icci flat manifolds","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2512.01516","last_updated":"2026-07-09T08:11:48Z","snapshot_observed_at":"2026-08-03T19:18:56.283722Z","submitted_at":"2025-12-01T10:40:14Z","title":"On the Morrison-Kawamata dream space and its applications","version":2},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-03T19:19:02.711464Z"},"links":{"citing_paper":"/paper/2512.01516"},"observation_digest":"sha256:9c1e211a3826e44f33d7d0fed5a1f38cafae9a82e9b9663d60ba65b44836ad39","observation_id":"dacff48e-6d73-4ebd-8955-467defd91c69","resolution":{"observed_at":"2026-08-03T19:19:02.711464Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.05949","last_updated":"2025-01-24T18:07:48Z","snapshot_observed_at":"2026-08-03T18:40:48.113997Z","submitted_at":"2024-10-08T12:01:48Z","title":"The Morrison Cone Conjecture under Deformation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.05949","snapshot_observed_at":"2026-08-03T19:19:02.791126Z","title":"The M orrison cone conjecture under deformation","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2512.01516","last_updated":"2026-07-09T08:11:48Z","snapshot_observed_at":"2026-08-03T19:18:56.283722Z","submitted_at":"2025-12-01T10:40:14Z","title":"On the Morrison-Kawamata dream space and its applications","version":2},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-03T19:19:02.791126Z"},"links":{"cited_paper":"/paper/2410.05949","citing_paper":"/paper/2512.01516"},"observation_digest":"sha256:1dcdc183777b0ff1652f5ce2fdf616fd14bd4068ae2924f38aa387195703f099","observation_id":"3a9b71b3-cf1b-4576-9a6a-36c851d95d6b","resolution":{"observed_at":"2026-08-03T19:19:02.791126Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T19:19:02.875975Z","title":"On the relative M orrison- K awamata cone conjecture","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2512.01516","last_updated":"2026-07-09T08:11:48Z","snapshot_observed_at":"2026-08-03T19:18:56.283722Z","submitted_at":"2025-12-01T10:40:14Z","title":"On the Morrison-Kawamata dream space and its applications","version":2},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-03T19:19:02.875975Z"},"links":{"citing_paper":"/paper/2512.01516"},"observation_digest":"sha256:9c37a5576bccbdce5d2d81b9b2db044b8f77395820b713d3d3f9dd35ace82d18","observation_id":"f2ff8955-dab1-40ab-96ce-515f725fefe4","resolution":{"observed_at":"2026-08-03T19:19:02.875975Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T19:19:02.951952Z","title":"Compactifications of moduli spaces inspired by mirror symmetry","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2512.01516","last_updated":"2026-07-09T08:11:48Z","snapshot_observed_at":"2026-08-03T19:18:56.283722Z","submitted_at":"2025-12-01T10:40:14Z","title":"On the Morrison-Kawamata dream space and its applications","version":2},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-03T19:19:02.951952Z"},"links":{"citing_paper":"/paper/2512.01516"},"observation_digest":"sha256:e6c192f4588ec4198d94b499ebf6e82b557570b17db1b35d77c4cf221eecafa6","observation_id":"ec864cfa-09ba-4896-b2af-3a042eb0979e","resolution":{"observed_at":"2026-08-03T19:19:02.951952Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T19:19:03.010361Z","title":"Beyond the K \\\" a hler cone","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2512.01516","last_updated":"2026-07-09T08:11:48Z","snapshot_observed_at":"2026-08-03T19:18:56.283722Z","submitted_at":"2025-12-01T10:40:14Z","title":"On the Morrison-Kawamata dream space and its applications","version":2},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-03T19:19:03.010361Z"},"links":{"citing_paper":"/paper/2512.01516"},"observation_digest":"sha256:1811b4885cb3bca5184f92997da04280f078a8d2d6e966abc2df5ccb3b465350","observation_id":"7c63f67b-abc9-4768-a677-e0ddcc5170c8","resolution":{"observed_at":"2026-08-03T19:19:03.010361Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T19:19:03.068166Z","title":"Introduction to arithmetic groups","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2512.01516","last_updated":"2026-07-09T08:11:48Z","snapshot_observed_at":"2026-08-03T19:18:56.283722Z","submitted_at":"2025-12-01T10:40:14Z","title":"On the Morrison-Kawamata dream space and its applications","version":2},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-08-03T19:19:03.068166Z"},"links":{"citing_paper":"/paper/2512.01516"},"observation_digest":"sha256:cef01a7cc67f134b1eb7c8a5267065ebded8c4020da9e11d067bb3d8ba2ae2b6","observation_id":"7155c21b-7f37-410d-84ef-c281aa972223","resolution":{"observed_at":"2026-08-03T19:19:03.068166Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T19:19:03.108753Z","title":"On the number and boundedness of log minimal models of general type","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2512.01516","last_updated":"2026-07-09T08:11:48Z","snapshot_observed_at":"2026-08-03T19:18:56.283722Z","submitted_at":"2025-12-01T10:40:14Z","title":"On the Morrison-Kawamata dream space and its applications","version":2},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-08-03T19:19:03.108753Z"},"links":{"citing_paper":"/paper/2512.01516"},"observation_digest":"sha256:bd737a76d5fd8ea0d8a8f68d4a80346f6b77ec371e6cc40eed0569c042197dc5","observation_id":"47b9e3c1-c68a-4eba-853e-dc85f48b5ea0","resolution":{"observed_at":"2026-08-03T19:19:03.108753Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T19:19:03.201548Z","title":"Zariski-decomposition and abundance , volume 14 of MSJ Memoirs","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2512.01516","last_updated":"2026-07-09T08:11:48Z","snapshot_observed_at":"2026-08-03T19:18:56.283722Z","submitted_at":"2025-12-01T10:40:14Z","title":"On the Morrison-Kawamata dream space and its applications","version":2},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-08-03T19:19:03.201548Z"},"links":{"citing_paper":"/paper/2512.01516"},"observation_digest":"sha256:6ce5c7f04a8873da817634bdc874579fd509838a5a6428a40c0170db4f636709","observation_id":"f23db0cb-d2c2-4ca4-9fc3-2be661f99554","resolution":{"observed_at":"2026-08-03T19:19:03.201548Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T19:19:03.251702Z","title":"On the birational structure of certain C alabi- Y au threefolds","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2512.01516","last_updated":"2026-07-09T08:11:48Z","snapshot_observed_at":"2026-08-03T19:18:56.283722Z","submitted_at":"2025-12-01T10:40:14Z","title":"On the Morrison-Kawamata dream space and its applications","version":2},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-08-03T19:19:03.251702Z"},"links":{"citing_paper":"/paper/2512.01516"},"observation_digest":"sha256:718f1c4e9965d004802b9628438c674db3a959cd3526b1c6f7b7b90fb30964f2","observation_id":"be021a4c-6613-4ec2-84bb-0a4984eaf294","resolution":{"observed_at":"2026-08-03T19:19:03.251702Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T19:19:03.359077Z","title":"Picard numbers in a family of hyperk\\\"ahler manifolds -- a supplement to the article of R","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2512.01516","last_updated":"2026-07-09T08:11:48Z","snapshot_observed_at":"2026-08-03T19:18:56.283722Z","submitted_at":"2025-12-01T10:40:14Z","title":"On the Morrison-Kawamata dream space and its applications","version":2},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-08-03T19:19:03.359077Z"},"links":{"citing_paper":"/paper/2512.01516"},"observation_digest":"sha256:7068c6e157af9f77014130ee8743a5336fd4e8f691be3273434a0a5a36c81818","observation_id":"8aff32ca-4606-45f2-8e47-a6716b10617c","resolution":{"observed_at":"2026-08-03T19:19:03.359077Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T19:19:03.543180Z","title":"On the relative version of M ori dream spaces","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2512.01516","last_updated":"2026-07-09T08:11:48Z","snapshot_observed_at":"2026-08-03T19:18:56.283722Z","submitted_at":"2025-12-01T10:40:14Z","title":"On the Morrison-Kawamata dream space and its applications","version":2},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-08-03T19:19:03.543180Z"},"links":{"citing_paper":"/paper/2512.01516"},"observation_digest":"sha256:bce96d185571c66adb20dc56a757e31ea42e654ff2d0e8a293d88eceb9246b0f","observation_id":"c0a8d77d-a6d2-433f-be44-8164397eb1c2","resolution":{"observed_at":"2026-08-03T19:19:03.543180Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T19:19:03.827890Z","title":"On images of M ori dream spaces","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2512.01516","last_updated":"2026-07-09T08:11:48Z","snapshot_observed_at":"2026-08-03T19:18:56.283722Z","submitted_at":"2025-12-01T10:40:14Z","title":"On the Morrison-Kawamata dream space and its applications","version":2},"reference_index":43,"source":"arxiv_source","source_observed_at":"2026-08-03T19:19:03.827890Z"},"links":{"citing_paper":"/paper/2512.01516"},"observation_digest":"sha256:01d1f3a83a0f0a4b13dfde23030e8f8bc79ab5c27285627f7b894f15b8e4db58","observation_id":"87ac9bef-f843-419f-96be-a6e3d9f8c68e","resolution":{"observed_at":"2026-08-03T19:19:03.827890Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T19:19:03.978502Z","title":"Rational points on varieties , volume 188","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2512.01516","last_updated":"2026-07-09T08:11:48Z","snapshot_observed_at":"2026-08-03T19:18:56.283722Z","submitted_at":"2025-12-01T10:40:14Z","title":"On the Morrison-Kawamata dream space and its applications","version":2},"reference_index":44,"source":"arxiv_source","source_observed_at":"2026-08-03T19:19:03.978502Z"},"links":{"citing_paper":"/paper/2512.01516"},"observation_digest":"sha256:067b70dfe24fd655f76839f7ea32c0ba6622d5258febffac2dd208b1db8d200d","observation_id":"041f13b0-cc01-469e-8596-2c7f52dff40d","resolution":{"observed_at":"2026-08-03T19:19:03.978502Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T19:19:04.049337Z","title":"Geography of log models: theory and applications","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2512.01516","last_updated":"2026-07-09T08:11:48Z","snapshot_observed_at":"2026-08-03T19:18:56.283722Z","submitted_at":"2025-12-01T10:40:14Z","title":"On the Morrison-Kawamata dream space and its applications","version":2},"reference_index":45,"source":"arxiv_source","source_observed_at":"2026-08-03T19:19:04.049337Z"},"links":{"citing_paper":"/paper/2512.01516"},"observation_digest":"sha256:a4201ae3689514416071d4cb74b55174f1813a64af4fca92cd9c7f09c12e74a0","observation_id":"e302c9af-bd38-4ff3-a2dc-deb63495d090","resolution":{"observed_at":"2026-08-03T19:19:04.049337Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T19:19:04.211864Z","title":"3 -fold log models","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2512.01516","last_updated":"2026-07-09T08:11:48Z","snapshot_observed_at":"2026-08-03T19:18:56.283722Z","submitted_at":"2025-12-01T10:40:14Z","title":"On the Morrison-Kawamata dream space and its applications","version":2},"reference_index":46,"source":"arxiv_source","source_observed_at":"2026-08-03T19:19:04.211864Z"},"links":{"citing_paper":"/paper/2512.01516"},"observation_digest":"sha256:b465aa6c9c5b987799288f31edc9aaebecf06340eac4debff91f9f5ab67fbe20","observation_id":"eb86a90e-1b06-40fe-a925-1894f3afe41f","resolution":{"observed_at":"2026-08-03T19:19:04.211864Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2012.06495","last_updated":"2020-12-11T16:59:11Z","snapshot_observed_at":"2026-07-06T10:23:32.733403Z","submitted_at":"2020-12-11T16:59:11Z","title":"Existence and boundedness of $n$-complements","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2012.06495","snapshot_observed_at":"2026-08-03T19:19:04.383409Z","title":"Existence and boundedness of n -complements","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2512.01516","last_updated":"2026-07-09T08:11:48Z","snapshot_observed_at":"2026-08-03T19:18:56.283722Z","submitted_at":"2025-12-01T10:40:14Z","title":"On the Morrison-Kawamata dream space and its applications","version":2},"reference_index":47,"source":"arxiv_source","source_observed_at":"2026-08-03T19:19:04.383409Z"},"links":{"cited_paper":"/paper/2012.06495","citing_paper":"/paper/2512.01516"},"observation_digest":"sha256:c244ce9bef8a702ff91dedb8165688412ec5647f2bc7728ce8b1ae9450d09a15","observation_id":"eb1b9a4f-b7f3-42b4-802d-6d78f47e2de5","resolution":{"observed_at":"2026-08-03T19:19:04.383409Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T19:19:04.583106Z","title":"The cone conjecture for C alabi- Y au pairs in dimension 2","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2512.01516","last_updated":"2026-07-09T08:11:48Z","snapshot_observed_at":"2026-08-03T19:18:56.283722Z","submitted_at":"2025-12-01T10:40:14Z","title":"On the Morrison-Kawamata dream space and its applications","version":2},"reference_index":48,"source":"arxiv_source","source_observed_at":"2026-08-03T19:19:04.583106Z"},"links":{"citing_paper":"/paper/2512.01516"},"observation_digest":"sha256:3b1da7a6501e45cafa8929668a7929bbe82d003a1abe50a6cea635b173d41cd3","observation_id":"8708042e-1678-4de4-9be5-776e9797dcc1","resolution":{"observed_at":"2026-08-03T19:19:04.583106Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T19:19:04.745989Z","title":"On deformation of nef values","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2512.01516","last_updated":"2026-07-09T08:11:48Z","snapshot_observed_at":"2026-08-03T19:18:56.283722Z","submitted_at":"2025-12-01T10:40:14Z","title":"On the Morrison-Kawamata dream space and its applications","version":2},"reference_index":49,"source":"arxiv_source","source_observed_at":"2026-08-03T19:19:04.745989Z"},"links":{"citing_paper":"/paper/2512.01516"},"observation_digest":"sha256:1f2d7cdc10bae7f96d1f458bad3e22397c9e95e228d3d159b286af8a93f9b1b2","observation_id":"f5eb2e13-9316-4870-908a-10828153c8e4","resolution":{"observed_at":"2026-08-03T19:19:04.745989Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T19:19:04.874749Z","title":"Rigidity of the M ori cone for F ano manifolds","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2512.01516","last_updated":"2026-07-09T08:11:48Z","snapshot_observed_at":"2026-08-03T19:18:56.283722Z","submitted_at":"2025-12-01T10:40:14Z","title":"On the Morrison-Kawamata dream space and its applications","version":2},"reference_index":50,"source":"arxiv_source","source_observed_at":"2026-08-03T19:19:04.874749Z"},"links":{"citing_paper":"/paper/2512.01516"},"observation_digest":"sha256:8562a3a7d014f06a1647719ef91c612f2826c1211f03e6419f083283f364741d","observation_id":"cc003625-1d99-46f3-92fe-c269208e7610","resolution":{"observed_at":"2026-08-03T19:19:04.874749Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.20899","last_updated":"2024-07-07T13:18:14Z","snapshot_observed_at":"2026-08-07T10:50:30.413849Z","submitted_at":"2024-05-31T15:11:09Z","title":"On the cone conjecture for certain pairs of dimension at most 4","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.20899","snapshot_observed_at":"2026-08-03T19:19:05.005034Z","title":"On the cone conjecture for certain pairs of dimension at most 4","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2512.01516","last_updated":"2026-07-09T08:11:48Z","snapshot_observed_at":"2026-08-03T19:18:56.283722Z","submitted_at":"2025-12-01T10:40:14Z","title":"On the Morrison-Kawamata dream space and its applications","version":2},"reference_index":51,"source":"arxiv_source","source_observed_at":"2026-08-03T19:19:05.005034Z"},"links":{"cited_paper":"/paper/2405.20899","citing_paper":"/paper/2512.01516"},"observation_digest":"sha256:295be17d9367a59deb8b18950f87b122d7804febbe426d086d8a7ca7c7971477","observation_id":"58629ea3-9517-4a9e-959d-3aeed3e5749c","resolution":{"observed_at":"2026-08-03T19:19:05.005034Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2512.01516","last_updated":"2026-07-09T08:11:48Z","latest_version":2,"primary_category":"math.AG","snapshot_observed_at":"2026-08-03T19:18:56.283722Z","submitted_at":"2025-12-01T10:40:14Z","title":"On the Morrison-Kawamata dream space and its applications"},"reference_resolution":{"displayed":51,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":51,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":51},"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":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 51 of 51 outbound references and 1 inbound Pith citation observation for arXiv:2512.01516."}