{"as_of":"2026-08-14T13:53:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:fb7b1cd0d9b0ae550f8eb5607ed5f7c69862b018406980491f1439194318e80d","coverage":[{"denominator":42,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":42,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-03T12:45:03.584973Z","state":"measured"},{"denominator":42,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":42,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-14T06:32:32.682623+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/2607.29153/citation-record","integrity":"/paper/2607.29153/integrity","json":"/paper/2607.29153/citation-record.json","paper":"/paper/2607.29153"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T12:45:01.634984Z","title":"Berndtsson,The extension theorem of Ohsawa-Takegoshi and the theorem of Donnelly-Fefferman, Ann","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2607.29153","last_updated":"2026-07-31T08:35:08Z","snapshot_observed_at":"2026-08-05T23:12:46.595209Z","submitted_at":"2026-07-31T08:35:08Z","title":"An extension theorem in terms of adjoint ideal sheaves","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-03T12:45:01.634984Z"},"links":{"citing_paper":"/paper/2607.29153"},"observation_digest":"sha256:3a80f8f44cb20a0cca855e73f3ea26bef9acfab27f8f249a4452845df006a7dd","observation_id":"cecd8da7-359e-4bd1-9cf2-a74056f9c84e","resolution":{"observed_at":"2026-08-03T12:45:01.634984Z","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":"2026-08-03T12:45:01.727949Z","title":"Math.56(2012), no","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.29153","last_updated":"2026-07-31T08:35:08Z","snapshot_observed_at":"2026-08-05T23:12:46.595209Z","submitted_at":"2026-07-31T08:35:08Z","title":"An extension theorem in terms of adjoint ideal sheaves","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-03T12:45:01.727949Z"},"links":{"citing_paper":"/paper/2607.29153"},"observation_digest":"sha256:10754b3ce3598313b4b47fb6b12682777ed0e264911665b6bc09a085a38d7ea9","observation_id":"2e2ce524-df02-4485-b0b0-c8f71c1b7db7","resolution":{"observed_at":"2026-08-03T12:45:01.727949Z","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":"2026-08-03T12:45:01.836677Z","title":"Berndtsson and L","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.29153","last_updated":"2026-07-31T08:35:08Z","snapshot_observed_at":"2026-08-05T23:12:46.595209Z","submitted_at":"2026-07-31T08:35:08Z","title":"An extension theorem in terms of adjoint ideal sheaves","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-03T12:45:01.836677Z"},"links":{"citing_paper":"/paper/2607.29153"},"observation_digest":"sha256:8710e84fb38b5a290b6d53e488e2b00731d83762087056c0d07ab8e086b1e3db","observation_id":"1a1a2fb6-2c34-4789-854d-a252f638ff08","resolution":{"observed_at":"2026-08-03T12:45:01.836677Z","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/s00222-012-0423-2","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Błocki,Suita conjecture and the Ohsawa-Takegoshi extension theorem, Invent","venue":"Inventiones mathematicae","work_id":"33e710c7-e982-41da-a264-d8e6be87318c","year":2013},"citing_paper":{"arxiv_id":"2607.29153","last_updated":"2026-07-31T08:35:08Z","snapshot_observed_at":"2026-08-05T23:12:46.595209Z","submitted_at":"2026-07-31T08:35:08Z","title":"An extension theorem in terms of adjoint ideal sheaves","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-03T12:45:01.942959Z"},"links":{"citing_paper":"/paper/2607.29153"},"observation_digest":"sha256:7ef2feeb1a3d7acdb812379b6687c5dc1e0fba873d88f261e3f3c137e781aa1d","observation_id":"e874fdac-156f-419a-8747-88b9b9bcc9f9","resolution":{"observed_at":"2026-08-03T12:48:26.821871Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T12:45:02.065828Z","title":"Cao, J.-P","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.29153","last_updated":"2026-07-31T08:35:08Z","snapshot_observed_at":"2026-08-05T23:12:46.595209Z","submitted_at":"2026-07-31T08:35:08Z","title":"An extension theorem in terms of adjoint ideal sheaves","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-03T12:45:02.065828Z"},"links":{"citing_paper":"/paper/2607.29153"},"observation_digest":"sha256:ca25ac2aefcecf7a8cddfec2061bd951f21643c7023e134da0e4cd95a38516d8","observation_id":"41e36062-6fd2-4084-85b5-fda46f16ae79","resolution":{"observed_at":"2026-08-03T12:45:02.065828Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2002.04968","last_updated":"2020-02-12T13:26:34Z","snapshot_observed_at":"2026-08-12T21:05:14.807508Z","submitted_at":"2020-02-12T13:26:34Z","title":"On the Ohsawa-Takegoshi extension theorem","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2002.04968","snapshot_observed_at":"2026-08-03T12:45:02.177850Z","title":"1, Paper No","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.29153","last_updated":"2026-07-31T08:35:08Z","snapshot_observed_at":"2026-08-05T23:12:46.595209Z","submitted_at":"2026-07-31T08:35:08Z","title":"An extension theorem in terms of adjoint ideal sheaves","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-03T12:45:02.177850Z"},"links":{"cited_paper":"/paper/2002.04968","citing_paper":"/paper/2607.29153"},"observation_digest":"sha256:1a8dc246c6ef4319cab343caa2a62c003e462f3acf70a8ee4e086a8dc7c31028","observation_id":"f98fd0ea-0891-4b8c-b778-293ec1085a6f","resolution":{"observed_at":"2026-08-03T12:45:02.177850Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2008.03019","last_updated":"2022-02-03T14:17:58Z","snapshot_observed_at":"2026-08-13T21:54:56.753475Z","submitted_at":"2020-08-07T07:16:21Z","title":"On an $L^2$ extension theorem from log-canonical centres with log-canonical measures","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2008.03019","snapshot_observed_at":"2026-08-03T12:45:02.340001Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.29153","last_updated":"2026-07-31T08:35:08Z","snapshot_observed_at":"2026-08-05T23:12:46.595209Z","submitted_at":"2026-07-31T08:35:08Z","title":"An extension theorem in terms of adjoint ideal sheaves","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-03T12:45:02.340001Z"},"links":{"cited_paper":"/paper/2008.03019","citing_paper":"/paper/2607.29153"},"observation_digest":"sha256:63df32e220745df8a3b0ebbeb771c1dd9902911db12746192e9e156e5d58590d","observation_id":"afeab89e-e2f5-4a82-bc15-dcad396cfa2b","resolution":{"observed_at":"2026-08-03T12:45:02.340001Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2111.05006","last_updated":"2023-07-22T10:09:44Z","snapshot_observed_at":"2026-08-13T17:37:26.538735Z","submitted_at":"2021-11-09T08:57:33Z","title":"A new definition of analytic adjoint ideal sheaves via the residue functions of log-canonical measures I","version":6},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2111.05006","snapshot_observed_at":"2026-08-03T12:45:02.492486Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.29153","last_updated":"2026-07-31T08:35:08Z","snapshot_observed_at":"2026-08-05T23:12:46.595209Z","submitted_at":"2026-07-31T08:35:08Z","title":"An extension theorem in terms of adjoint ideal sheaves","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-03T12:45:02.492486Z"},"links":{"cited_paper":"/paper/2111.05006","citing_paper":"/paper/2607.29153"},"observation_digest":"sha256:e395c379f4703e0567f30ff55f582094e8182ae815d54eb225baf20a559c9ba1","observation_id":"a346b56d-3d38-4572-bf32-052761880442","resolution":{"observed_at":"2026-08-03T12:45:02.492486Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2211.00885","last_updated":"2023-04-05T15:47:01Z","snapshot_observed_at":"2026-08-13T13:51:47.380921Z","submitted_at":"2022-11-02T05:09:18Z","title":"Residue functions and Extension problems","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2211.00885","snapshot_observed_at":"2026-08-03T12:45:02.636616Z","title":"To appear in Proceedings of CCGA2022 and KSCV14","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.29153","last_updated":"2026-07-31T08:35:08Z","snapshot_observed_at":"2026-08-05T23:12:46.595209Z","submitted_at":"2026-07-31T08:35:08Z","title":"An extension theorem in terms of adjoint ideal sheaves","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-03T12:45:02.636616Z"},"links":{"cited_paper":"/paper/2211.00885","citing_paper":"/paper/2607.29153"},"observation_digest":"sha256:fba5a4719fa92c111a41077d4067d3c74a416f592c5cf01a929b6152dc692a96","observation_id":"07527c6f-dc65-4429-8d25-7f847fc27ba1","resolution":{"observed_at":"2026-08-03T12:45:02.636616Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1912.08076","last_updated":"2021-03-17T09:27:06Z","snapshot_observed_at":"2026-08-12T06:13:53.484676Z","submitted_at":"2019-12-16T18:32:26Z","title":"Extension with log-canonical measures and an improvement to the plt extension of Demailly--Hacon--Paun","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1912.08076","snapshot_observed_at":"2026-08-03T12:45:02.688678Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.29153","last_updated":"2026-07-31T08:35:08Z","snapshot_observed_at":"2026-08-05T23:12:46.595209Z","submitted_at":"2026-07-31T08:35:08Z","title":"An extension theorem in terms of adjoint ideal sheaves","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-03T12:45:02.688678Z"},"links":{"cited_paper":"/paper/1912.08076","citing_paper":"/paper/2607.29153"},"observation_digest":"sha256:7d21abe24d50570a4e4a09fc71eadb5ad29dece6af9d6886437126fdc3f4907f","observation_id":"071bd2f9-cb7e-4c94-bfe3-6d3f901e5ba2","resolution":{"observed_at":"2026-08-03T12:45:02.688678Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2205.06954","last_updated":"2023-04-05T15:26:00Z","snapshot_observed_at":"2026-08-13T15:44:13.713977Z","submitted_at":"2022-05-14T02:43:43Z","title":"On an injectivity theorem for log-canonical pairs with analytic adjoint ideal sheaves","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2205.06954","snapshot_observed_at":"2026-08-03T12:45:02.886147Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.29153","last_updated":"2026-07-31T08:35:08Z","snapshot_observed_at":"2026-08-05T23:12:46.595209Z","submitted_at":"2026-07-31T08:35:08Z","title":"An extension theorem in terms of adjoint ideal sheaves","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-03T12:45:02.886147Z"},"links":{"cited_paper":"/paper/2205.06954","citing_paper":"/paper/2607.29153"},"observation_digest":"sha256:9e4e4239c08a014f13c4bc77f9afcb9e5950e59a9a55f544eafcd958320adefa","observation_id":"745f13d5-e877-4383-b8ac-ee7c4b84b364","resolution":{"observed_at":"2026-08-03T12:45:02.886147Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2306.00670","last_updated":"2024-11-09T08:41:20Z","snapshot_observed_at":"2026-08-13T11:27:19.663475Z","submitted_at":"2023-06-01T13:40:03Z","title":"An application of adjoint ideal sheaves to injectivity and extension theorems","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2306.00670","snapshot_observed_at":"2026-08-03T12:45:02.966022Z","title":"Math., vol","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.29153","last_updated":"2026-07-31T08:35:08Z","snapshot_observed_at":"2026-08-05T23:12:46.595209Z","submitted_at":"2026-07-31T08:35:08Z","title":"An extension theorem in terms of adjoint ideal sheaves","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-03T12:45:02.966022Z"},"links":{"cited_paper":"/paper/2306.00670","citing_paper":"/paper/2607.29153"},"observation_digest":"sha256:3b1682b5a054b2591b051d374d5375e715581068752e31f4368618058a2af5cf","observation_id":"cf1aa122-3d43-4c0d-afd0-d6028d1f86bb","resolution":{"observed_at":"2026-08-03T12:45:02.966022Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2307.12025","last_updated":"2024-09-21T15:21:22Z","snapshot_observed_at":"2026-08-13T10:50:01.323343Z","submitted_at":"2023-07-22T09:09:12Z","title":"An injectivity theorem on snc compact K\\\"ahler spaces: an application of the theory of harmonic integrals on log-canonical centers via adjoint ideal sheaves","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2307.12025","snapshot_observed_at":"2026-08-03T12:45:03.051355Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.29153","last_updated":"2026-07-31T08:35:08Z","snapshot_observed_at":"2026-08-05T23:12:46.595209Z","submitted_at":"2026-07-31T08:35:08Z","title":"An extension theorem in terms of adjoint ideal sheaves","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-03T12:45:03.051355Z"},"links":{"cited_paper":"/paper/2307.12025","citing_paper":"/paper/2607.29153"},"observation_digest":"sha256:a600f7830a947a55e6c73d41fb2cdadbe894c1df90e0c8ea7eb81c30051bc52b","observation_id":"a393fac0-65b0-4ded-b165-b11be9ac51a1","resolution":{"observed_at":"2026-08-03T12:45:03.051355Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2409.14100","last_updated":"2026-07-31T07:55:29Z","snapshot_observed_at":"2026-08-12T22:40:30.275930Z","submitted_at":"2024-09-21T10:50:36Z","title":"Injectivity theorems for higher direct images under proper K\\\"ahler morphisms on snc spaces","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.14100","snapshot_observed_at":"2026-08-03T12:45:03.158141Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.29153","last_updated":"2026-07-31T08:35:08Z","snapshot_observed_at":"2026-08-05T23:12:46.595209Z","submitted_at":"2026-07-31T08:35:08Z","title":"An extension theorem in terms of adjoint ideal sheaves","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-03T12:45:03.158141Z"},"links":{"cited_paper":"/paper/2409.14100","citing_paper":"/paper/2607.29153"},"observation_digest":"sha256:77969e7a6bdf0f7764882a00a3917b9dbb2c5bb34347bcb3e6e941953b09d30d","observation_id":"d0730cb6-dffe-41aa-957f-2c32e53d85f2","resolution":{"observed_at":"2026-08-03T12:45:03.158141Z","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":"2026-08-03T12:45:03.213363Z","title":"Demailly,On the Ohsawa-Takegoshi-ManivelL2 extension theorem, Complex analysis and ge- ometry (Paris, 1997), Progr","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2607.29153","last_updated":"2026-07-31T08:35:08Z","snapshot_observed_at":"2026-08-05T23:12:46.595209Z","submitted_at":"2026-07-31T08:35:08Z","title":"An extension theorem in terms of adjoint ideal sheaves","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-03T12:45:03.213363Z"},"links":{"citing_paper":"/paper/2607.29153"},"observation_digest":"sha256:4970bad1f2dd57dd265ed89fb851e44de3f9c020ef53ba104ebc13907ebe19c9","observation_id":"96b952a9-ad14-4e72-898f-fe42ddd40efa","resolution":{"observed_at":"2026-08-03T12:45:03.213363Z","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":"2026-08-03T12:45:03.298813Z","title":"Notes, vol","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2607.29153","last_updated":"2026-07-31T08:35:08Z","snapshot_observed_at":"2026-08-05T23:12:46.595209Z","submitted_at":"2026-07-31T08:35:08Z","title":"An extension theorem in terms of adjoint ideal sheaves","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-03T12:45:03.298813Z"},"links":{"citing_paper":"/paper/2607.29153"},"observation_digest":"sha256:c07880586df8a69c46aeaad0e90e8e18334c75eb3fce84e2183c627f9b29f1ad","observation_id":"6cedce77-a2f8-45ad-878b-e6d890e9f053","resolution":{"observed_at":"2026-08-03T12:45:03.298813Z","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":"2026-08-03T12:45:03.442805Z","title":"fr/~demailly/manuscripts/agbook.pdf","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.29153","last_updated":"2026-07-31T08:35:08Z","snapshot_observed_at":"2026-08-05T23:12:46.595209Z","submitted_at":"2026-07-31T08:35:08Z","title":"An extension theorem in terms of adjoint ideal sheaves","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-03T12:45:03.442805Z"},"links":{"citing_paper":"/paper/2607.29153"},"observation_digest":"sha256:17670ca8437e03fb6160914dd4711976746b306e1e96bd23e8e67b0cf9de039e","observation_id":"8fb2afac-da45-44d9-8c2b-aed3e38a2a60","resolution":{"observed_at":"2026-08-03T12:45:03.442805Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1510.05230","last_updated":"2015-10-18T11:51:22Z","snapshot_observed_at":"2026-07-06T04:33:26.852705Z","submitted_at":"2015-10-18T11:51:22Z","title":"Extension of holomorphic functions defined on non reduced analytic subvarieties","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1510.05230","snapshot_observed_at":"2026-08-03T12:45:03.493545Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.29153","last_updated":"2026-07-31T08:35:08Z","snapshot_observed_at":"2026-08-05T23:12:46.595209Z","submitted_at":"2026-07-31T08:35:08Z","title":"An extension theorem in terms of adjoint ideal sheaves","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-03T12:45:03.493545Z"},"links":{"cited_paper":"/paper/1510.05230","citing_paper":"/paper/2607.29153"},"observation_digest":"sha256:13527f609c7787b7694680c66ef36213d0b832d208bd808419823b7b8aa3ee28","observation_id":"20eea3ac-205e-4ae8-b49d-2b6e204066db","resolution":{"observed_at":"2026-08-03T12:45:03.493545Z","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":"2026-08-03T12:45:03.517532Z","title":"Demailly, C","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2607.29153","last_updated":"2026-07-31T08:35:08Z","snapshot_observed_at":"2026-08-05T23:12:46.595209Z","submitted_at":"2026-07-31T08:35:08Z","title":"An extension theorem in terms of adjoint ideal sheaves","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-03T12:45:03.517532Z"},"links":{"citing_paper":"/paper/2607.29153"},"observation_digest":"sha256:07b3db2febe9f89740832e32027a1723c8796bf487bb3a7174ccd8dc23a3d34a","observation_id":"0cfc6789-4054-40d3-be6c-f97ca74a7de9","resolution":{"observed_at":"2026-08-03T12:45:03.517532Z","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":"10.1515/crelle-2012-0036","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Fujino,A transcendental approach to Kollár’s injectivity theorem II, J","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","work_id":"83050bca-bb99-4611-b4f7-d78ca8af7e0e","year":2013},"citing_paper":{"arxiv_id":"2607.29153","last_updated":"2026-07-31T08:35:08Z","snapshot_observed_at":"2026-08-05T23:12:46.595209Z","submitted_at":"2026-07-31T08:35:08Z","title":"An extension theorem in terms of adjoint ideal sheaves","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-03T12:45:03.520938Z"},"links":{"citing_paper":"/paper/2607.29153"},"observation_digest":"sha256:bc5891358c25f83bd0f27cdb0160938177f901cead86c0aa206f6964f3ebfb5b","observation_id":"80e2b84a-e4e7-449d-bc92-95b534deab53","resolution":{"observed_at":"2026-08-03T12:48:26.681374Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T12:45:03.524040Z","title":"Guan and X","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.29153","last_updated":"2026-07-31T08:35:08Z","snapshot_observed_at":"2026-08-05T23:12:46.595209Z","submitted_at":"2026-07-31T08:35:08Z","title":"An extension theorem in terms of adjoint ideal sheaves","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-03T12:45:03.524040Z"},"links":{"citing_paper":"/paper/2607.29153"},"observation_digest":"sha256:10d99ffcb451aabd0a5732e6c4d4edca46dc6b489af069647e5afacd497897ab","observation_id":"df52d0f4-edae-478e-955b-15858617a886","resolution":{"observed_at":"2026-08-03T12:45:03.524040Z","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":"10.4007/annals.2015.182.2.5","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Annals of Mathematics","work_id":"ed03b7f3-47fb-45fd-86df-6631ccf36144","year":2015},"citing_paper":{"arxiv_id":"2607.29153","last_updated":"2026-07-31T08:35:08Z","snapshot_observed_at":"2026-08-05T23:12:46.595209Z","submitted_at":"2026-07-31T08:35:08Z","title":"An extension theorem in terms of adjoint ideal sheaves","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-03T12:45:03.527001Z"},"links":{"citing_paper":"/paper/2607.29153"},"observation_digest":"sha256:34dc08aa603f18f9c4764f6a960ce6fe6bc742e6d7b9c44ee075f43e380a1b76","observation_id":"7340447e-353f-4522-86d9-95eb47a78d99","resolution":{"observed_at":"2026-08-03T12:48:26.590956Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T12:45:03.529872Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.29153","last_updated":"2026-07-31T08:35:08Z","snapshot_observed_at":"2026-08-05T23:12:46.595209Z","submitted_at":"2026-07-31T08:35:08Z","title":"An extension theorem in terms of adjoint ideal sheaves","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-03T12:45:03.529872Z"},"links":{"citing_paper":"/paper/2607.29153"},"observation_digest":"sha256:bd4e108e18f0f6dcf16a5f98bb927aa0c9a665dbb70996a181102ca5200fead5","observation_id":"841fce6d-aac4-42a1-b055-53901ba83e03","resolution":{"observed_at":"2026-08-03T12:45:03.529872Z","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":"2026-08-03T12:45:03.533366Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.29153","last_updated":"2026-07-31T08:35:08Z","snapshot_observed_at":"2026-08-05T23:12:46.595209Z","submitted_at":"2026-07-31T08:35:08Z","title":"An extension theorem in terms of adjoint ideal sheaves","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-03T12:45:03.533366Z"},"links":{"citing_paper":"/paper/2607.29153"},"observation_digest":"sha256:0c59e8d076c5aea6d84979336c3584029f246538aa25611266a12a9831880bf3","observation_id":"304f12ab-95d3-45b7-92d1-25dd61ec89fe","resolution":{"observed_at":"2026-08-03T12:45:03.533366Z","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.crma.2014.02.010","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Comptes Rendus Mathématique","work_id":"8532d44e-967b-4af1-b913-25e64828eb92","year":2014},"citing_paper":{"arxiv_id":"2607.29153","last_updated":"2026-07-31T08:35:08Z","snapshot_observed_at":"2026-08-05T23:12:46.595209Z","submitted_at":"2026-07-31T08:35:08Z","title":"An extension theorem in terms of adjoint ideal sheaves","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-03T12:45:03.536266Z"},"links":{"citing_paper":"/paper/2607.29153"},"observation_digest":"sha256:7403369257b566bbaf75eb7608ca8a38e833d46e34a09646d0d30d5eedb1759c","observation_id":"4a2bd6fe-4ffb-4796-86ef-1cb625d29f09","resolution":{"observed_at":"2026-08-03T12:48:26.448829Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T12:45:03.539248Z","title":"Kim,L 2 extension of adjoint line bundle sections, Ann","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2607.29153","last_updated":"2026-07-31T08:35:08Z","snapshot_observed_at":"2026-08-05T23:12:46.595209Z","submitted_at":"2026-07-31T08:35:08Z","title":"An extension theorem in terms of adjoint ideal sheaves","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-03T12:45:03.539248Z"},"links":{"citing_paper":"/paper/2607.29153"},"observation_digest":"sha256:81e8487b28cddabae4f78bd39297962b264865ab6384cde50a64e8cd4d4ad9cc","observation_id":"02c481a8-ac77-439d-b8e8-ba3554f640e5","resolution":{"observed_at":"2026-08-03T12:45:03.539248Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2108.11934","last_updated":"2023-04-13T08:18:07Z","snapshot_observed_at":"2026-08-13T18:22:28.701490Z","submitted_at":"2021-08-26T17:44:44Z","title":"$L^2$ extension of holomorphic functions for log canonical pairs","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2108.11934","snapshot_observed_at":"2026-08-03T12:45:03.541933Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.29153","last_updated":"2026-07-31T08:35:08Z","snapshot_observed_at":"2026-08-05T23:12:46.595209Z","submitted_at":"2026-07-31T08:35:08Z","title":"An extension theorem in terms of adjoint ideal sheaves","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-03T12:45:03.541933Z"},"links":{"cited_paper":"/paper/2108.11934","citing_paper":"/paper/2607.29153"},"observation_digest":"sha256:9dac6369ffcd81a33a51d4c032bc84db0fd1619e67de03c28d85b1787b941531","observation_id":"ee639d2a-a40c-40a8-9504-332a8f45e2a2","resolution":{"observed_at":"2026-08-03T12:45:03.541933Z","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":"2026-08-03T12:45:03.545127Z","title":"Kollár,Singularities of the minimal model program, Cambridge Tracts in Mathematics, vol","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2607.29153","last_updated":"2026-07-31T08:35:08Z","snapshot_observed_at":"2026-08-05T23:12:46.595209Z","submitted_at":"2026-07-31T08:35:08Z","title":"An extension theorem in terms of adjoint ideal sheaves","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-03T12:45:03.545127Z"},"links":{"citing_paper":"/paper/2607.29153"},"observation_digest":"sha256:bb244f8a1547f5f9d22708b7b3ede1113d4f3e35380cc3a0d5d96f6a319c21fe","observation_id":"5e2d2ed9-bb28-4f71-9df1-35c802f5ccb2","resolution":{"observed_at":"2026-08-03T12:45:03.545127Z","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":"2026-08-03T12:45:03.547861Z","title":"Lazarsfeld,Positivity in algebraic geometry","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.29153","last_updated":"2026-07-31T08:35:08Z","snapshot_observed_at":"2026-08-05T23:12:46.595209Z","submitted_at":"2026-07-31T08:35:08Z","title":"An extension theorem in terms of adjoint ideal sheaves","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-03T12:45:03.547861Z"},"links":{"citing_paper":"/paper/2607.29153"},"observation_digest":"sha256:7dea8dd64228e71563ec1a1e4d333a93ddffabcc2f1244d72b103cfeb619a41c","observation_id":"8db0a5a8-a53d-49d0-9491-81580dd8b8fe","resolution":{"observed_at":"2026-08-03T12:45:03.547861Z","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/bf02571643","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Manivel,Un théorème de prolongementL 2 de sections holomorphes d’un fibré hermitien, Math","venue":"Mathematische Zeitschrift","work_id":"a68b6a80-f1c9-4a7b-91b9-d7f547bf487d","year":1993},"citing_paper":{"arxiv_id":"2607.29153","last_updated":"2026-07-31T08:35:08Z","snapshot_observed_at":"2026-08-05T23:12:46.595209Z","submitted_at":"2026-07-31T08:35:08Z","title":"An extension theorem in terms of adjoint ideal sheaves","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-03T12:45:03.553614Z"},"links":{"citing_paper":"/paper/2607.29153"},"observation_digest":"sha256:9614b4a71ce7ead959d61d1d41461e669d1c621a1477e6b9db599d0f0f851536","observation_id":"d0b97a23-7bfa-4f39-9130-95d553c5495a","resolution":{"observed_at":"2026-08-03T12:48:26.329472Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1308.2033","last_updated":"2016-04-27T05:01:02Z","snapshot_observed_at":"2026-08-07T15:26:11.738854Z","submitted_at":"2013-08-09T05:13:24Z","title":"An injectivity theorem with multiplier ideal sheaves of singular metrics with transcendental singularities","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1308.2033","snapshot_observed_at":"2026-08-03T12:45:03.556433Z","title":"Matsumura,An injectivity theorem with multiplier ideal sheaves of singular metrics with tran- scendental singularities, J","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.29153","last_updated":"2026-07-31T08:35:08Z","snapshot_observed_at":"2026-08-05T23:12:46.595209Z","submitted_at":"2026-07-31T08:35:08Z","title":"An extension theorem in terms of adjoint ideal sheaves","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-03T12:45:03.556433Z"},"links":{"cited_paper":"/paper/1308.2033","citing_paper":"/paper/2607.29153"},"observation_digest":"sha256:c1e399b5b7464f44785b1d0806f5da66070c5b020591497c50d95d4a22d68a1c","observation_id":"39a73c54-80d7-4499-ac15-2550dcce50c1","resolution":{"observed_at":"2026-08-03T12:45:03.556433Z","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":"2026-08-03T12:45:03.559127Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.29153","last_updated":"2026-07-31T08:35:08Z","snapshot_observed_at":"2026-08-05T23:12:46.595209Z","submitted_at":"2026-07-31T08:35:08Z","title":"An extension theorem in terms of adjoint ideal sheaves","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-03T12:45:03.559127Z"},"links":{"citing_paper":"/paper/2607.29153"},"observation_digest":"sha256:43ed4ae3b187dcd1089344c56f04c993a14f3f7a9e41a21bd5ceecf8aa2280b1","observation_id":"8d951df2-8297-4e38-924b-9b943842afb9","resolution":{"observed_at":"2026-08-03T12:45:03.559127Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1607.05554","last_updated":"2018-01-26T16:01:11Z","snapshot_observed_at":"2026-08-09T07:39:43.666304Z","submitted_at":"2016-07-19T12:42:39Z","title":"Injectivity theorems with multiplier ideal sheaves for higher direct images under K\"ahler morphisms","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1607.05554","snapshot_observed_at":"2026-08-03T12:45:03.561851Z","title":"Geom.9(2022), no","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.29153","last_updated":"2026-07-31T08:35:08Z","snapshot_observed_at":"2026-08-05T23:12:46.595209Z","submitted_at":"2026-07-31T08:35:08Z","title":"An extension theorem in terms of adjoint ideal sheaves","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-03T12:45:03.561851Z"},"links":{"cited_paper":"/paper/1607.05554","citing_paper":"/paper/2607.29153"},"observation_digest":"sha256:af699fa03906823e1ca7eb12b5fe3b34c5443ba047f76bed6c0e6ddbd14c9a48","observation_id":"24a37813-8697-47cf-8e5a-9a17ebad5873","resolution":{"observed_at":"2026-08-03T12:45:03.561851Z","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":"2026-08-03T12:45:03.564828Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2607.29153","last_updated":"2026-07-31T08:35:08Z","snapshot_observed_at":"2026-08-05T23:12:46.595209Z","submitted_at":"2026-07-31T08:35:08Z","title":"An extension theorem in terms of adjoint ideal sheaves","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-03T12:45:03.564828Z"},"links":{"citing_paper":"/paper/2607.29153"},"observation_digest":"sha256:4381b120774cd4ecf60f22996e136d43c1173a58865dde92756c16e0f63ab331","observation_id":"aac61abb-b373-4e80-9b07-b3555b88948e","resolution":{"observed_at":"2026-08-03T12:45:03.564828Z","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":"2026-08-03T12:45:03.567683Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.29153","last_updated":"2026-07-31T08:35:08Z","snapshot_observed_at":"2026-08-05T23:12:46.595209Z","submitted_at":"2026-07-31T08:35:08Z","title":"An extension theorem in terms of adjoint ideal sheaves","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-03T12:45:03.567683Z"},"links":{"citing_paper":"/paper/2607.29153"},"observation_digest":"sha256:302c6d9e9e74ef5e47fe8d045e22a7b1570f7ebcd27a279aaf283b220a6cb1db","observation_id":"d2efa768-f968-4656-99ff-347079b4f0cf","resolution":{"observed_at":"2026-08-03T12:45:03.567683Z","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":"2026-08-03T12:45:03.570269Z","title":"Ohsawa,On the extension ofL2 holomorphic functions","venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2607.29153","last_updated":"2026-07-31T08:35:08Z","snapshot_observed_at":"2026-08-05T23:12:46.595209Z","submitted_at":"2026-07-31T08:35:08Z","title":"An extension theorem in terms of adjoint ideal sheaves","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-03T12:45:03.570269Z"},"links":{"citing_paper":"/paper/2607.29153"},"observation_digest":"sha256:7e9a976cb8bccf338c4f27189fa2ce44a2fe9d5edd9260687abd184b2c7e387d","observation_id":"a942f467-4734-419f-a285-84bded186e8f","resolution":{"observed_at":"2026-08-03T12:45:03.570269Z","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/bf02572360","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Mathematische Zeitschrift","work_id":"a5c6f4de-5387-4c88-b095-18f9c42c9d28","year":1995},"citing_paper":{"arxiv_id":"2607.29153","last_updated":"2026-07-31T08:35:08Z","snapshot_observed_at":"2026-08-05T23:12:46.595209Z","submitted_at":"2026-07-31T08:35:08Z","title":"An extension theorem in terms of adjoint ideal sheaves","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-03T12:45:03.573272Z"},"links":{"citing_paper":"/paper/2607.29153"},"observation_digest":"sha256:fb456e2c14d152ee073ffcbb8d25485ca22b1fa822fc5211b7fdc67ab25b0cfe","observation_id":"18801c08-877b-4d2f-9b2c-fa875ba3d9fa","resolution":{"observed_at":"2026-08-03T12:48:26.187145Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T12:45:03.576387Z","title":"Ohsawa and K","venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2607.29153","last_updated":"2026-07-31T08:35:08Z","snapshot_observed_at":"2026-08-05T23:12:46.595209Z","submitted_at":"2026-07-31T08:35:08Z","title":"An extension theorem in terms of adjoint ideal sheaves","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-03T12:45:03.576387Z"},"links":{"citing_paper":"/paper/2607.29153"},"observation_digest":"sha256:79487aae3c98ec8fe016b6fb4df20891fdf0c4d28426bd06fd8b189b5a4b6f2b","observation_id":"7e3f0436-b7df-45db-8345-eba6f8588215","resolution":{"observed_at":"2026-08-03T12:45:03.576387Z","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":"2026-08-03T12:45:03.579310Z","title":"Păun,Siu’s invariance of plurigenera: a one-tower proof, J","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2607.29153","last_updated":"2026-07-31T08:35:08Z","snapshot_observed_at":"2026-08-05T23:12:46.595209Z","submitted_at":"2026-07-31T08:35:08Z","title":"An extension theorem in terms of adjoint ideal sheaves","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-03T12:45:03.579310Z"},"links":{"citing_paper":"/paper/2607.29153"},"observation_digest":"sha256:24d97947a7bd28f422e1774524218b48eec3936bf4232962d2a40e3cad6d6340","observation_id":"efef6e31-fda0-43bd-b016-f3bc6d95cc5c","resolution":{"observed_at":"2026-08-03T12:45:03.579310Z","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":"2026-08-03T12:45:03.582274Z","title":null,"venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2607.29153","last_updated":"2026-07-31T08:35:08Z","snapshot_observed_at":"2026-08-05T23:12:46.595209Z","submitted_at":"2026-07-31T08:35:08Z","title":"An extension theorem in terms of adjoint ideal sheaves","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-03T12:45:03.582274Z"},"links":{"citing_paper":"/paper/2607.29153"},"observation_digest":"sha256:5aac32964cb4091a479240028bb66d7a20d645620886859a6e924e41576f9b3b","observation_id":"b5570644-b46b-4c7f-b97c-cc25a70312b3","resolution":{"observed_at":"2026-08-03T12:45:03.582274Z","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/s00222-006-0503-2","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Takayama,Pluricanonical systems on algebraic varieties of general type, Invent","venue":"Inventiones mathematicae","work_id":"4bf1d98f-4e76-4724-8158-ed5302f746bd","year":2006},"citing_paper":{"arxiv_id":"2607.29153","last_updated":"2026-07-31T08:35:08Z","snapshot_observed_at":"2026-08-05T23:12:46.595209Z","submitted_at":"2026-07-31T08:35:08Z","title":"An extension theorem in terms of adjoint ideal sheaves","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-03T12:45:03.584973Z"},"links":{"citing_paper":"/paper/2607.29153"},"observation_digest":"sha256:1edd68cc5b3d0220b333fc83e14d31c9a4ba87acb68e84d3ab7c4654b6333433","observation_id":"4bcfaac0-bf9a-45d1-bbc7-ed14410570fe","resolution":{"observed_at":"2026-08-03T12:48:26.051109Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T12:45:03.550821Z","title":"MR2095472","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.29153","last_updated":"2026-07-31T08:35:08Z","snapshot_observed_at":"2026-08-05T23:12:46.595209Z","submitted_at":"2026-07-31T08:35:08Z","title":"An extension theorem in terms of adjoint ideal sheaves","version":1},"reference_index":2004,"source":"pdf_text","source_observed_at":"2026-08-03T12:45:03.550821Z"},"links":{"citing_paper":"/paper/2607.29153"},"observation_digest":"sha256:3257e07ac4c5d97d2fed1e812b7ce28d3b413937b73004e3b0ac53b41fa5b785","observation_id":"94bee893-4834-4dad-b6e1-9ff3b5c98f0e","resolution":{"observed_at":"2026-08-03T12:45:03.550821Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.29153","last_updated":"2026-07-31T08:35:08Z","latest_version":1,"primary_category":"math.CV","snapshot_observed_at":"2026-08-05T23:12:46.595209Z","submitted_at":"2026-07-31T08:35:08Z","title":"An extension theorem in terms of adjoint ideal sheaves"},"reference_resolution":{"displayed":42,"state_counts":{"malformed_identifier":2,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":33,"verified_exact":7,"verified_fuzzy":0},"total_outbound_references":42},"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":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:2607.29153."}