{"as_of":"2026-08-12T11:51:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:85b36755df192cd528e63ba045fa9efad96554ea19b0f1ac1acc2d042395ba72","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":12,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":12,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":12,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":12,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T18:51:51.954498Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-03T03:37:35.812062Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2404.12007","last_updated":"2024-04-18T08:59:31Z","snapshot_observed_at":"2026-08-11T04:17:39.528766Z","submitted_at":"2024-04-18T08:59:31Z","title":"On the Canonical Bundle Formula and Adjunction for Generalized Kaehler Pairs","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.12007","snapshot_observed_at":"2026-08-11T18:51:51.954498Z","title":"Hacon and M","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.07650","last_updated":"2026-06-29T08:26:36Z","snapshot_observed_at":"2026-08-12T06:35:14.430862Z","submitted_at":"2024-12-10T16:36:30Z","title":"Transcendental Minimal Model Program for Projective Varieties","version":2},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-11T18:51:51.954498Z"},"links":{"cited_paper":"/paper/2404.12007","citing_paper":"/paper/2412.07650"},"observation_digest":"sha256:6c69912704aebfac12c825cdbb7f6a45b5adc4ec4c2cd5bf6a68b23331b4e276","observation_id":"2630bed8-f2f2-4f94-bfa8-7c4d07e17a6d","resolution":{"observed_at":"2026-08-11T18:51:51.954498Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.12007","last_updated":"2024-04-18T08:59:31Z","snapshot_observed_at":"2026-08-11T04:17:39.528766Z","submitted_at":"2024-04-18T08:59:31Z","title":"On the Canonical Bundle Formula and Adjunction for Generalized Kaehler Pairs","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.12007","snapshot_observed_at":"2026-08-10T21:29:11.667936Z","title":"Hacon, and M","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2501.04910","last_updated":"2025-07-05T23:02:09Z","snapshot_observed_at":"2026-08-10T21:20:10.932390Z","submitted_at":"2025-01-09T01:56:44Z","title":"Slope Stable Sheaves and Hermitian-Einstein Metrics on Normal Varieties with Big Cohomology Classes","version":6},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-10T21:29:11.667936Z"},"links":{"cited_paper":"/paper/2404.12007","citing_paper":"/paper/2501.04910"},"observation_digest":"sha256:2a4a543cd70de847eb3a8fb57aedd52fdd0a60deb72939c8c789700cb66432ab","observation_id":"a80341b2-07f6-48fc-ad50-876803747c9a","resolution":{"observed_at":"2026-08-10T21:29:11.667936Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.12007","last_updated":"2024-04-18T08:59:31Z","snapshot_observed_at":"2026-08-11T04:17:39.528766Z","submitted_at":"2024-04-18T08:59:31Z","title":"On the Canonical Bundle Formula and Adjunction for Generalized Kaehler Pairs","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.12007","snapshot_observed_at":"2026-08-10T20:47:38.529188Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.07551","last_updated":"2025-01-13T18:36:42Z","snapshot_observed_at":"2026-08-11T09:15:16.883336Z","submitted_at":"2025-01-13T18:36:42Z","title":"$P$-trivial MMP, Zariski decompositions and minimal models for generalised pairs","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-10T20:47:38.529188Z"},"links":{"cited_paper":"/paper/2404.12007","citing_paper":"/paper/2501.07551"},"observation_digest":"sha256:932b979f6f0c67a19870b6a5542680156753362ec7a0cbedd210936d7e9248c0","observation_id":"0398cf52-675c-49ed-8307-077c63ce6637","resolution":{"observed_at":"2026-08-10T20:47:38.529188Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.12007","last_updated":"2024-04-18T08:59:31Z","snapshot_observed_at":"2026-08-11T04:17:39.528766Z","submitted_at":"2024-04-18T08:59:31Z","title":"On the Canonical Bundle Formula and Adjunction for Generalized Kaehler Pairs","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.12007","snapshot_observed_at":"2026-08-10T00:57:54.067311Z","title":"On the canonical bundle formula and adjunction for generalized kaehler pairs","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2501.18088","last_updated":"2025-01-30T01:58:44Z","snapshot_observed_at":"2026-08-10T00:40:10.147340Z","submitted_at":"2025-01-30T01:58:44Z","title":"A characterization of uniruled compact K\\\"ahler manifolds","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-10T00:57:54.067311Z"},"links":{"cited_paper":"/paper/2404.12007","citing_paper":"/paper/2501.18088"},"observation_digest":"sha256:43ea71f7cbfe75926111cf16ceb7c02cf1978d08c82508556270962b22686c9f","observation_id":"7174170e-a001-4b9d-8387-e88a2205ceef","resolution":{"observed_at":"2026-08-10T00:57:54.067311Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.12007","last_updated":"2024-04-18T08:59:31Z","snapshot_observed_at":"2026-08-11T04:17:39.528766Z","submitted_at":"2024-04-18T08:59:31Z","title":"On the Canonical Bundle Formula and Adjunction for Generalized Kaehler Pairs","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.12007","snapshot_observed_at":"2026-08-09T13:16:46.527205Z","title":": On the canonical bundle formula and adjunction for generali sed K¨ ahler pairs","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2502.02183","last_updated":"2025-02-24T14:21:21Z","snapshot_observed_at":"2026-08-11T04:17:21.264290Z","submitted_at":"2025-02-04T09:57:21Z","title":"Remarks on Relative Canonical Bundles and Algebraicity Criteria for Foliations in K\\\"ahler context","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-09T13:16:46.527205Z"},"links":{"cited_paper":"/paper/2404.12007","citing_paper":"/paper/2502.02183"},"observation_digest":"sha256:dce56d7e22229087735dc0ebdc07ddd5e70bf74d6a71be13897872b2dcd76ac9","observation_id":"d14ff759-0325-4e9a-861e-1ef3e1dedb0a","resolution":{"observed_at":"2026-08-09T13:16:46.527205Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.12007","last_updated":"2024-04-18T08:59:31Z","snapshot_observed_at":"2026-08-11T04:17:39.528766Z","submitted_at":"2024-04-18T08:59:31Z","title":"On the Canonical Bundle Formula and Adjunction for Generalized Kaehler Pairs","version":1},"cited_work":{"arxiv_id":"2404.12007","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2404.12007","snapshot_observed_at":"2026-07-03T03:37:35.812062Z","title":"On the canonical bundle formula and adjunction for generalized kaehler pairs","venue":null,"work_id":"cc211a71-0444-4381-beaf-ee72c09b8e28","year":2024},"citing_paper":{"arxiv_id":"2502.18800","last_updated":"2026-04-16T22:55:26Z","snapshot_observed_at":"2026-07-06T20:42:46.881554Z","submitted_at":"2025-02-26T04:15:06Z","title":"On the Existence of Good Minimal Models for K\\\"ahler Varieties with Projective Albanese Map","version":2},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-05-23T02:56:04.267341Z"},"links":{"cited_paper":"/paper/2404.12007","citing_paper":"/paper/2502.18800"},"observation_digest":"sha256:2d8f6c5c9a0f20f37613e90552a3a3f2addaefc21b1ac2791d0fa626a2038989","observation_id":"a1d4f1fa-fa05-4623-a524-43b2c6052a8a","resolution":{"observed_at":"2026-05-23T02:57:26.346506Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.12007","last_updated":"2024-04-18T08:59:31Z","snapshot_observed_at":"2026-08-11T04:17:39.528766Z","submitted_at":"2024-04-18T08:59:31Z","title":"On the Canonical Bundle Formula and Adjunction for Generalized Kaehler Pairs","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.12007","snapshot_observed_at":"2026-08-06T18:24:55.117173Z","title":"arXiv:2404.12007","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.08522","last_updated":"2026-07-21T04:44:44Z","snapshot_observed_at":"2026-08-10T03:27:43.156011Z","submitted_at":"2025-07-11T12:17:16Z","title":"The Miyaoka-Yau inequality for singular varieties with big canonical or anticanonical divisors","version":3},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T18:24:55.117173Z"},"links":{"cited_paper":"/paper/2404.12007","citing_paper":"/paper/2507.08522"},"observation_digest":"sha256:ea339c599ca3c216584cdedc7b122c5a30af8d63c7273702ae9e3d68cfb2bc68","observation_id":"c734223c-77f2-4b6d-b8c8-9b5905411d76","resolution":{"observed_at":"2026-08-06T18:24:55.117173Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.12007","last_updated":"2024-04-18T08:59:31Z","snapshot_observed_at":"2026-08-11T04:17:39.528766Z","submitted_at":"2024-04-18T08:59:31Z","title":"On the Canonical Bundle Formula and Adjunction for Generalized Kaehler Pairs","version":1},"cited_work":{"arxiv_id":"2404.12007","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2404.12007","snapshot_observed_at":"2026-07-03T03:37:35.812062Z","title":"On the canonical bundle formula and adjunction for generalized kaehler pairs","venue":null,"work_id":"cc211a71-0444-4381-beaf-ee72c09b8e28","year":2024},"citing_paper":{"arxiv_id":"2604.26425","last_updated":"2026-04-29T08:35:42Z","snapshot_observed_at":"2026-07-06T23:12:06.349884Z","submitted_at":"2026-04-29T08:35:42Z","title":"Compact K\\\"ahler contact manifolds","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-05-07T12:49:30.210450Z"},"links":{"cited_paper":"/paper/2404.12007","citing_paper":"/paper/2604.26425"},"observation_digest":"sha256:c7e7cda81514c3ecd4d064d59e48ac80aceaa0ecb011ebec7467d364ac2c85f0","observation_id":"a8c926d8-e745-41bd-ad04-033a85213bf7","resolution":{"observed_at":"2026-05-12T09:06:26.626188Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.12007","last_updated":"2024-04-18T08:59:31Z","snapshot_observed_at":"2026-08-11T04:17:39.528766Z","submitted_at":"2024-04-18T08:59:31Z","title":"On the Canonical Bundle Formula and Adjunction for Generalized Kaehler Pairs","version":1},"cited_work":{"arxiv_id":"2404.12007","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2404.12007","snapshot_observed_at":"2026-07-03T03:37:35.812062Z","title":"On the canonical bundle formula and adjunction for generalized kaehler pairs","venue":null,"work_id":"cc211a71-0444-4381-beaf-ee72c09b8e28","year":2024},"citing_paper":{"arxiv_id":"2605.20178","last_updated":"2026-05-19T17:59:08Z","snapshot_observed_at":"2026-07-06T23:30:49.211483Z","submitted_at":"2026-05-19T17:59:08Z","title":"Sharp systolic inequalities for K\\\"ahler manifolds","version":1},"reference_index":52,"source":"arxiv_source","source_observed_at":"2026-05-20T03:05:30.264175Z"},"links":{"cited_paper":"/paper/2404.12007","citing_paper":"/paper/2605.20178"},"observation_digest":"sha256:0ddae78f621c45de301ae4b3069eca6ecc27744b212b8d3889fa8195fe9fb12b","observation_id":"fe747b58-d7c7-486c-8be9-513bcabff21c","resolution":{"observed_at":"2026-05-20T03:08:02.087509Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.12007","last_updated":"2024-04-18T08:59:31Z","snapshot_observed_at":"2026-08-11T04:17:39.528766Z","submitted_at":"2024-04-18T08:59:31Z","title":"On the Canonical Bundle Formula and Adjunction for Generalized Kaehler Pairs","version":1},"cited_work":{"arxiv_id":"2404.12007","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2404.12007","snapshot_observed_at":"2026-07-03T03:37:35.812062Z","title":"On the canonical bundle formula and adjunction for generalized kaehler pairs","venue":null,"work_id":"cc211a71-0444-4381-beaf-ee72c09b8e28","year":2024},"citing_paper":{"arxiv_id":"2606.09087","last_updated":"2026-08-11T10:53:02Z","snapshot_observed_at":"2026-08-12T11:26:15.937345Z","submitted_at":"2026-06-08T06:33:56Z","title":"A numerical generalized canonical bundle formula","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-06-27T15:02:34.585098Z"},"links":{"cited_paper":"/paper/2404.12007","citing_paper":"/paper/2606.09087"},"observation_digest":"sha256:0860f98a943a1c6d2b9faa9a5746c7ad82c226c0fe3ce75fdd455ec0f11f602e","observation_id":"a2186e61-12ec-4ee3-92d7-c89ee77d0134","resolution":{"observed_at":"2026-07-03T03:37:35.813628Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.12007","last_updated":"2024-04-18T08:59:31Z","snapshot_observed_at":"2026-08-11T04:17:39.528766Z","submitted_at":"2024-04-18T08:59:31Z","title":"On the Canonical Bundle Formula and Adjunction for Generalized Kaehler Pairs","version":1},"cited_work":{"arxiv_id":"2404.12007","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2404.12007","snapshot_observed_at":"2026-07-03T03:37:35.812062Z","title":"On the canonical bundle formula and adjunction for generalized kaehler pairs","venue":null,"work_id":"cc211a71-0444-4381-beaf-ee72c09b8e28","year":2024},"citing_paper":{"arxiv_id":"2606.30983","last_updated":"2026-06-29T23:43:58Z","snapshot_observed_at":"2026-08-11T03:08:07.919536Z","submitted_at":"2026-06-29T23:43:58Z","title":"Addendum: On generalized canonical bundle formula and boundedness of complements in complex analytic setting","version":1},"reference_index":86,"source":"arxiv_source","source_observed_at":"2026-07-01T00:53:06.184698Z"},"links":{"cited_paper":"/paper/2404.12007","citing_paper":"/paper/2606.30983"},"observation_digest":"sha256:3fab55a6a0abd3860ce09f9279d43d61d04edefbd34c10ed500bb40c90f48c44","observation_id":"d17f0d5a-e2a8-4092-a344-f0f0e8277d5f","resolution":{"observed_at":"2026-07-01T00:55:11.659751Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.12007","last_updated":"2024-04-18T08:59:31Z","snapshot_observed_at":"2026-08-11T04:17:39.528766Z","submitted_at":"2024-04-18T08:59:31Z","title":"On the Canonical Bundle Formula and Adjunction for Generalized Kaehler Pairs","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.12007","snapshot_observed_at":"2026-07-31T04:24:42.410035Z","title":"Hacon and M","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.24986","last_updated":"2026-07-27T18:39:33Z","snapshot_observed_at":"2026-08-08T22:53:12.107970Z","submitted_at":"2026-07-27T18:39:33Z","title":"On the K\\\"ahler MMP and the transcendental base-point-free theorem","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-07-31T04:24:42.410035Z"},"links":{"cited_paper":"/paper/2404.12007","citing_paper":"/paper/2607.24986"},"observation_digest":"sha256:ce8c41612b670220d93d112590f1e38b67d23ec7c648de58846a24301dcfa81a","observation_id":"e383614b-5539-4891-b7f1-95dcf421f24e","resolution":{"observed_at":"2026-07-31T04:24:42.410035Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2404.12007/citation-record","integrity":"/paper/2404.12007/integrity","json":"/paper/2404.12007/citation-record.json","paper":"/paper/2404.12007"},"outbound":[],"paper":{"arxiv_id":"2404.12007","last_updated":"2024-04-18T08:59:31Z","latest_version":1,"primary_category":"math.AG","snapshot_observed_at":"2026-08-11T04:17:39.528766Z","submitted_at":"2024-04-18T08:59:31Z","title":"On the Canonical Bundle Formula and Adjunction for Generalized Kaehler Pairs"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 12 inbound Pith citation observations for arXiv:2404.12007."}