{"as_of":"2026-08-20T22:06:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:786058b366efcfe4a323c7fdcc25dd23f0e35b8c4f14373138260b9ac2ff6e56","coverage":[{"denominator":43,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":43,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-02T11:21:05.289586Z","state":"measured"},{"denominator":44,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":44,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-20T06:33:59.587034+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":"2026-08-06T00:12:40.347014Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-06T00:12:40.548294Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2606.16275","last_updated":"2026-07-17T07:23:25Z","snapshot_observed_at":"2026-08-19T02:53:08.469043Z","submitted_at":"2026-06-15T06:27:44Z","title":"Griffiths and Nakano positivity and Nakano-Nadel vanishing theorems for singular Hermitian metrics on complex spaces","version":2},"cited_work":{"arxiv_id":"2606.16275","doi":null,"metadata_source":"pith","pith_arxiv_id":"2606.16275","snapshot_observed_at":"2026-08-06T00:12:40.548294Z","title":"Griffiths and Nakano positivity and Nakano-Nadel vanishing theorems for singular Hermitian metrics on complex spaces","venue":"math.CV","work_id":"443ce859-11dc-4668-94f9-352f4e15275e","year":2026},"citing_paper":{"arxiv_id":"2608.01519","last_updated":"2026-08-02T22:15:06Z","snapshot_observed_at":"2026-08-18T09:13:44.715363Z","submitted_at":"2026-08-02T22:15:06Z","title":"Steenbrink vanishing theorem for big line bundles","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-06T00:12:40.347014Z"},"links":{"cited_paper":"/paper/2606.16275","citing_paper":"/paper/2608.01519"},"observation_digest":"sha256:bf59efdd0e5d22911971f63ffa60889d9bfcfd6599e9d2540f8237ea9f089741","observation_id":"68f50e53-ec80-4e47-81b4-5d51c33d9bd5","resolution":{"observed_at":"2026-08-06T00:12:40.657225Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2606.16275/citation-record","integrity":"/paper/2606.16275/integrity","json":"/paper/2606.16275/citation-record.json","paper":"/paper/2606.16275"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T11:20:59.000998Z","title":"Andersson and H","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2606.16275","last_updated":"2026-07-17T07:23:25Z","snapshot_observed_at":"2026-08-19T02:53:08.469043Z","submitted_at":"2026-06-15T06:27:44Z","title":"Griffiths and Nakano positivity and Nakano-Nadel vanishing theorems for singular Hermitian metrics on complex spaces","version":2},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-02T11:20:59.000998Z"},"links":{"citing_paper":"/paper/2606.16275"},"observation_digest":"sha256:9eda4cb12d7f9daf0a1a9f815e8e14c50ee003cfaf823cb94b4d72088b1c25b0","observation_id":"27245b83-9dd7-4d9d-9c0e-cf7108ff3c7c","resolution":{"observed_at":"2026-08-02T11:20:59.000998Z","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":"2026-08-02T11:20:59.126223Z","title":"Andreotti and E","venue":null,"work_id":null,"year":1965},"citing_paper":{"arxiv_id":"2606.16275","last_updated":"2026-07-17T07:23:25Z","snapshot_observed_at":"2026-08-19T02:53:08.469043Z","submitted_at":"2026-06-15T06:27:44Z","title":"Griffiths and Nakano positivity and Nakano-Nadel vanishing theorems for singular Hermitian metrics on complex spaces","version":2},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-02T11:20:59.126223Z"},"links":{"citing_paper":"/paper/2606.16275"},"observation_digest":"sha256:83608440f608061e05760955b54b2a8ff91ba37ec2cbfec7ba1641301237b2a8","observation_id":"5558424b-2782-4347-955e-9fdc4b738f0a","resolution":{"observed_at":"2026-08-02T11:20:59.126223Z","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":"2026-08-02T11:20:59.243528Z","title":"Berndtsson and M","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2606.16275","last_updated":"2026-07-17T07:23:25Z","snapshot_observed_at":"2026-08-19T02:53:08.469043Z","submitted_at":"2026-06-15T06:27:44Z","title":"Griffiths and Nakano positivity and Nakano-Nadel vanishing theorems for singular Hermitian metrics on complex spaces","version":2},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-02T11:20:59.243528Z"},"links":{"citing_paper":"/paper/2606.16275"},"observation_digest":"sha256:3cbe8df1011d89d5b42b68234529d5091f9e1094c811e66226f6d33cbe711e9e","observation_id":"d75dd47e-6abb-476e-8233-69d0bf935ae6","resolution":{"observed_at":"2026-08-02T11:20:59.243528Z","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":"2026-08-02T11:20:59.422872Z","title":"Bierstone and P.D","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2606.16275","last_updated":"2026-07-17T07:23:25Z","snapshot_observed_at":"2026-08-19T02:53:08.469043Z","submitted_at":"2026-06-15T06:27:44Z","title":"Griffiths and Nakano positivity and Nakano-Nadel vanishing theorems for singular Hermitian metrics on complex spaces","version":2},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-02T11:20:59.422872Z"},"links":{"citing_paper":"/paper/2606.16275"},"observation_digest":"sha256:c74692593ee9a17361b3d5acec6c86e0869342ca21a3ee58a1b8b36c1c469281","observation_id":"ec100e67-4920-4d0a-b41e-f8535e03aab9","resolution":{"observed_at":"2026-08-02T11:20:59.422872Z","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":"2026-08-02T11:20:59.586253Z","title":null,"venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2606.16275","last_updated":"2026-07-17T07:23:25Z","snapshot_observed_at":"2026-08-19T02:53:08.469043Z","submitted_at":"2026-06-15T06:27:44Z","title":"Griffiths and Nakano positivity and Nakano-Nadel vanishing theorems for singular Hermitian metrics on complex spaces","version":2},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-02T11:20:59.586253Z"},"links":{"citing_paper":"/paper/2606.16275"},"observation_digest":"sha256:0bd8a34076ece12fefcb5c4b583afd0bb7e58df97b872cf99c8f44c5841816ed","observation_id":"71ddcc04-6ec8-441e-bde4-28749c226671","resolution":{"observed_at":"2026-08-02T11:20:59.586253Z","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":"2026-08-02T11:20:59.795835Z","title":"Demailly, Estimations L^2 pour l'op\\' e rateur d'un fibr\\' e vectoriel holomorphe semi-positif au dessus d'une vari\\' e t\\' e K\\\" a hl\\' e rienne compl\\` e te , Ann","venue":null,"work_id":null,"year":1982},"citing_paper":{"arxiv_id":"2606.16275","last_updated":"2026-07-17T07:23:25Z","snapshot_observed_at":"2026-08-19T02:53:08.469043Z","submitted_at":"2026-06-15T06:27:44Z","title":"Griffiths and Nakano positivity and Nakano-Nadel vanishing theorems for singular Hermitian metrics on complex spaces","version":2},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-02T11:20:59.795835Z"},"links":{"citing_paper":"/paper/2606.16275"},"observation_digest":"sha256:f6e837974f8ddc3ff4ca40a700c6a071f8497d5fd56af2af4967cc648139ac57","observation_id":"f619c536-2954-4e52-9f18-637cb85d8437","resolution":{"observed_at":"2026-08-02T11:20:59.795835Z","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":"2026-08-02T11:20:59.965076Z","title":"Demailly, Mesures de Monge-Amp\\` e re et caract\\' e risation g\\' e om\\' e trique des vari\\' e t\\' e s alg\\' e briques affines , M\\' e m","venue":null,"work_id":null,"year":1985},"citing_paper":{"arxiv_id":"2606.16275","last_updated":"2026-07-17T07:23:25Z","snapshot_observed_at":"2026-08-19T02:53:08.469043Z","submitted_at":"2026-06-15T06:27:44Z","title":"Griffiths and Nakano positivity and Nakano-Nadel vanishing theorems for singular Hermitian metrics on complex spaces","version":2},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-02T11:20:59.965076Z"},"links":{"citing_paper":"/paper/2606.16275"},"observation_digest":"sha256:3c9e19738ede3f4e08e8e9de462d2b1058b84cd156656cdd2cf1948d0633ced3","observation_id":"41d1d061-739e-4c2b-90bc-f3cd1fef02e1","resolution":{"observed_at":"2026-08-02T11:20:59.965076Z","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":"2026-08-02T11:21:00.110090Z","title":"Demailly, Singular Hermitian metrics on positive line bundles, Proc","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2606.16275","last_updated":"2026-07-17T07:23:25Z","snapshot_observed_at":"2026-08-19T02:53:08.469043Z","submitted_at":"2026-06-15T06:27:44Z","title":"Griffiths and Nakano positivity and Nakano-Nadel vanishing theorems for singular Hermitian metrics on complex spaces","version":2},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-02T11:21:00.110090Z"},"links":{"citing_paper":"/paper/2606.16275"},"observation_digest":"sha256:3270cd3d28902b67928b074a63490a009e78be7159acb5c9adcd9b0ab5b7c33e","observation_id":"7ed9285e-4a14-4c63-aa66-fd5bdc31ddd7","resolution":{"observed_at":"2026-08-02T11:21:00.110090Z","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":"2026-08-02T11:21:00.313105Z","title":"Demailly, Multiplier ideal sheaves and analytic methods in algebraic geometry, in School on Vanishing Theorems and Effective Results in Algebraic Geometry, ICTP Lecture Notes, vol","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2606.16275","last_updated":"2026-07-17T07:23:25Z","snapshot_observed_at":"2026-08-19T02:53:08.469043Z","submitted_at":"2026-06-15T06:27:44Z","title":"Griffiths and Nakano positivity and Nakano-Nadel vanishing theorems for singular Hermitian metrics on complex spaces","version":2},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-02T11:21:00.313105Z"},"links":{"citing_paper":"/paper/2606.16275"},"observation_digest":"sha256:015561c6a4db901b2703cacd8905344686edcf79b64374060da42d3e7bcbb17c","observation_id":"1515498c-0c0b-4adc-9574-39d4b6844a1c","resolution":{"observed_at":"2026-08-02T11:21:00.313105Z","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":"2026-08-02T11:21:00.508718Z","title":"Demailly, Analytic Methods in Algebraic Geometry, Surveys of Modern Mathematics, vol","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2606.16275","last_updated":"2026-07-17T07:23:25Z","snapshot_observed_at":"2026-08-19T02:53:08.469043Z","submitted_at":"2026-06-15T06:27:44Z","title":"Griffiths and Nakano positivity and Nakano-Nadel vanishing theorems for singular Hermitian metrics on complex spaces","version":2},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-02T11:21:00.508718Z"},"links":{"citing_paper":"/paper/2606.16275"},"observation_digest":"sha256:bdf12e215de6c9bf75a82760b6291abae7458e87e6a438456bb95ad5c9410a4e","observation_id":"770a655c-df81-4e61-a021-f4fab4dac534","resolution":{"observed_at":"2026-08-02T11:21:00.508718Z","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":"2026-08-02T11:21:00.653901Z","title":"Demailly, Complex analytic and differential geometry, https://www-fourier.ujf-grenoble.fr/demailly/manuscripts/agbook.pdf","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.16275","last_updated":"2026-07-17T07:23:25Z","snapshot_observed_at":"2026-08-19T02:53:08.469043Z","submitted_at":"2026-06-15T06:27:44Z","title":"Griffiths and Nakano positivity and Nakano-Nadel vanishing theorems for singular Hermitian metrics on complex spaces","version":2},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-02T11:21:00.653901Z"},"links":{"citing_paper":"/paper/2606.16275"},"observation_digest":"sha256:150a9997271be6690707972e13f582d8a5894802971341a78fc1f0321b9b2e28","observation_id":"d2fc0c74-4191-47ae-934e-3bdeccfe7172","resolution":{"observed_at":"2026-08-02T11:21:00.653901Z","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":"2026-08-02T11:21:00.886799Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2606.16275","last_updated":"2026-07-17T07:23:25Z","snapshot_observed_at":"2026-08-19T02:53:08.469043Z","submitted_at":"2026-06-15T06:27:44Z","title":"Griffiths and Nakano positivity and Nakano-Nadel vanishing theorems for singular Hermitian metrics on complex spaces","version":2},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-02T11:21:00.886799Z"},"links":{"citing_paper":"/paper/2606.16275"},"observation_digest":"sha256:4e92b82250f736417d9c9e02f6e06be9715e933a5bb14a189b8e460553906007","observation_id":"590fb822-38a9-4534-8dbf-22b0c91299ab","resolution":{"observed_at":"2026-08-02T11:21:00.886799Z","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":"2026-08-02T11:21:01.106066Z","title":"Diederich, Some aspects of the Levi problem: recent developments, in Geometric Complex Analysis, Proc","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2606.16275","last_updated":"2026-07-17T07:23:25Z","snapshot_observed_at":"2026-08-19T02:53:08.469043Z","submitted_at":"2026-06-15T06:27:44Z","title":"Griffiths and Nakano positivity and Nakano-Nadel vanishing theorems for singular Hermitian metrics on complex spaces","version":2},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-02T11:21:01.106066Z"},"links":{"citing_paper":"/paper/2606.16275"},"observation_digest":"sha256:d72481a0ef31221f82e83ba5526399e6b39ac710d861919aa52c324aae126d4f","observation_id":"6222a591-e04f-4d6e-b8fc-15b6d3d9f836","resolution":{"observed_at":"2026-08-02T11:21:01.106066Z","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":"2026-08-02T11:21:01.307283Z","title":"Forn ss and R","venue":null,"work_id":null,"year":1980},"citing_paper":{"arxiv_id":"2606.16275","last_updated":"2026-07-17T07:23:25Z","snapshot_observed_at":"2026-08-19T02:53:08.469043Z","submitted_at":"2026-06-15T06:27:44Z","title":"Griffiths and Nakano positivity and Nakano-Nadel vanishing theorems for singular Hermitian metrics on complex spaces","version":2},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-02T11:21:01.307283Z"},"links":{"citing_paper":"/paper/2606.16275"},"observation_digest":"sha256:c17eb14ef0a5e4512e3c75f98eb1d88f16b61b05d31d9122fce18352a5d9c8f0","observation_id":"c062cfe2-2d4b-4132-8b37-f17c24931339","resolution":{"observed_at":"2026-08-02T11:21:01.307283Z","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":"2026-08-02T11:21:01.455242Z","title":"Grauert, T","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2606.16275","last_updated":"2026-07-17T07:23:25Z","snapshot_observed_at":"2026-08-19T02:53:08.469043Z","submitted_at":"2026-06-15T06:27:44Z","title":"Griffiths and Nakano positivity and Nakano-Nadel vanishing theorems for singular Hermitian metrics on complex spaces","version":2},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-02T11:21:01.455242Z"},"links":{"citing_paper":"/paper/2606.16275"},"observation_digest":"sha256:5d01c70aa06fe613fda92b945a8d00893a1bd8eda53a7c36912a8e02677da5e8","observation_id":"6cf7d804-ea43-4a23-83a1-73916a3edd52","resolution":{"observed_at":"2026-08-02T11:21:01.455242Z","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":"2026-08-02T11:21:01.662288Z","title":"Grauert and R","venue":null,"work_id":null,"year":1956},"citing_paper":{"arxiv_id":"2606.16275","last_updated":"2026-07-17T07:23:25Z","snapshot_observed_at":"2026-08-19T02:53:08.469043Z","submitted_at":"2026-06-15T06:27:44Z","title":"Griffiths and Nakano positivity and Nakano-Nadel vanishing theorems for singular Hermitian metrics on complex spaces","version":2},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-02T11:21:01.662288Z"},"links":{"citing_paper":"/paper/2606.16275"},"observation_digest":"sha256:14cc7a277e9bedb5a295d707e4ce6eb5ff29e122d474a6fb1842114711991644","observation_id":"b408ef1c-6c24-4a4b-9cbb-87e6de305563","resolution":{"observed_at":"2026-08-02T11:21:01.662288Z","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":"2026-08-02T11:21:01.817328Z","title":"Guan and X","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2606.16275","last_updated":"2026-07-17T07:23:25Z","snapshot_observed_at":"2026-08-19T02:53:08.469043Z","submitted_at":"2026-06-15T06:27:44Z","title":"Griffiths and Nakano positivity and Nakano-Nadel vanishing theorems for singular Hermitian metrics on complex spaces","version":2},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-02T11:21:01.817328Z"},"links":{"citing_paper":"/paper/2606.16275"},"observation_digest":"sha256:334e13df2527aa447ddd756d2f43ac18f0ea783446e13d0c535d390d0c1898f5","observation_id":"f7124c67-b43d-47bf-b661-afb8ca4afa51","resolution":{"observed_at":"2026-08-02T11:21:01.817328Z","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":"2026-08-02T11:21:01.857791Z","title":"Hacon, M","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2606.16275","last_updated":"2026-07-17T07:23:25Z","snapshot_observed_at":"2026-08-19T02:53:08.469043Z","submitted_at":"2026-06-15T06:27:44Z","title":"Griffiths and Nakano positivity and Nakano-Nadel vanishing theorems for singular Hermitian metrics on complex spaces","version":2},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-02T11:21:01.857791Z"},"links":{"citing_paper":"/paper/2606.16275"},"observation_digest":"sha256:cb971c968e6aea83026b7c644ac9429d262c8171e0080cf05b07715dfd00b0e9","observation_id":"62886cb6-1f2c-4143-b913-ca482bf9c9e9","resolution":{"observed_at":"2026-08-02T11:21:01.857791Z","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":"2026-08-02T11:21:01.929597Z","title":"Hironaka, Resolution of singularities of an algebraic variety over a field of characteristic zero, I, Ann","venue":null,"work_id":null,"year":1964},"citing_paper":{"arxiv_id":"2606.16275","last_updated":"2026-07-17T07:23:25Z","snapshot_observed_at":"2026-08-19T02:53:08.469043Z","submitted_at":"2026-06-15T06:27:44Z","title":"Griffiths and Nakano positivity and Nakano-Nadel vanishing theorems for singular Hermitian metrics on complex spaces","version":2},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-02T11:21:01.929597Z"},"links":{"citing_paper":"/paper/2606.16275"},"observation_digest":"sha256:071914f38719b12a36bfa03dfbabd7daf8977fcee6946607ac5aad987afe84f9","observation_id":"8ac3b661-5558-4468-8106-297e4d7b8fb7","resolution":{"observed_at":"2026-08-02T11:21:01.929597Z","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":"2026-08-02T11:21:02.012488Z","title":"H\\\"ormander, L^2 estimates and existence theorems for the operator, Acta Math","venue":null,"work_id":null,"year":1965},"citing_paper":{"arxiv_id":"2606.16275","last_updated":"2026-07-17T07:23:25Z","snapshot_observed_at":"2026-08-19T02:53:08.469043Z","submitted_at":"2026-06-15T06:27:44Z","title":"Griffiths and Nakano positivity and Nakano-Nadel vanishing theorems for singular Hermitian metrics on complex spaces","version":2},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-02T11:21:02.012488Z"},"links":{"citing_paper":"/paper/2606.16275"},"observation_digest":"sha256:ace83cf6157ad14c8a82b85edccac3e9329f56f5c817e67e8b29a9eba62527ac","observation_id":"937571d3-910d-457a-a5b2-645dd19076f3","resolution":{"observed_at":"2026-08-02T11:21:02.012488Z","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":"2026-08-02T11:21:02.124285Z","title":"H\\\"ormander, An introduction to complex analysis in several variables, Third edition, NorthHolland Mathematical Library, 7","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2606.16275","last_updated":"2026-07-17T07:23:25Z","snapshot_observed_at":"2026-08-19T02:53:08.469043Z","submitted_at":"2026-06-15T06:27:44Z","title":"Griffiths and Nakano positivity and Nakano-Nadel vanishing theorems for singular Hermitian metrics on complex spaces","version":2},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-02T11:21:02.124285Z"},"links":{"citing_paper":"/paper/2606.16275"},"observation_digest":"sha256:4431c60bf40a6c4182cfa0bcad1006b07ca037226b4ba3432d9992e27fa2308d","observation_id":"5bef6dcd-6ce9-47ad-a225-0afd732ff1af","resolution":{"observed_at":"2026-08-02T11:21:02.124285Z","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":"2026-08-02T11:21:02.226388Z","title":"Inayama, Nakano positivity of singular Hermitian metrics and vanishing theorems of Demailly-Nadel-Nakano type, Algebr","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2606.16275","last_updated":"2026-07-17T07:23:25Z","snapshot_observed_at":"2026-08-19T02:53:08.469043Z","submitted_at":"2026-06-15T06:27:44Z","title":"Griffiths and Nakano positivity and Nakano-Nadel vanishing theorems for singular Hermitian metrics on complex spaces","version":2},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-02T11:21:02.226388Z"},"links":{"citing_paper":"/paper/2606.16275"},"observation_digest":"sha256:68796f9c3ca8c4105ae5bd0999e140d287cc523c8b9878c8674365fa6878b44e","observation_id":"d82f774d-35e8-4c42-81e9-642018d1e45a","resolution":{"observed_at":"2026-08-02T11:21:02.226388Z","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":"2026-08-02T11:21:02.420962Z","title":"Inayama, S","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.16275","last_updated":"2026-07-17T07:23:25Z","snapshot_observed_at":"2026-08-19T02:53:08.469043Z","submitted_at":"2026-06-15T06:27:44Z","title":"Griffiths and Nakano positivity and Nakano-Nadel vanishing theorems for singular Hermitian metrics on complex spaces","version":2},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-02T11:21:02.420962Z"},"links":{"citing_paper":"/paper/2606.16275"},"observation_digest":"sha256:5ec1aae30176bd3b4a009f8e5070f88ffd1679bac6161d52e64c1c8418ac199f","observation_id":"833ca6de-7b19-494b-8a97-0481c3e00352","resolution":{"observed_at":"2026-08-02T11:21:02.420962Z","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":"2026-08-02T11:21:02.531118Z","title":"Jonsson and M","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2606.16275","last_updated":"2026-07-17T07:23:25Z","snapshot_observed_at":"2026-08-19T02:53:08.469043Z","submitted_at":"2026-06-15T06:27:44Z","title":"Griffiths and Nakano positivity and Nakano-Nadel vanishing theorems for singular Hermitian metrics on complex spaces","version":2},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-02T11:21:02.531118Z"},"links":{"citing_paper":"/paper/2606.16275"},"observation_digest":"sha256:90b154087d88eb20a31baab890a00d53c3d2cc4b54bbbeb921fee7d8783cc85b","observation_id":"2d347993-8e7e-4fd9-b578-713596b85021","resolution":{"observed_at":"2026-08-02T11:21:02.531118Z","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":"2026-08-02T11:21:02.659488Z","title":"Kazama, On pseudoconvexity of complex abelian Lie groups, J","venue":null,"work_id":null,"year":1973},"citing_paper":{"arxiv_id":"2606.16275","last_updated":"2026-07-17T07:23:25Z","snapshot_observed_at":"2026-08-19T02:53:08.469043Z","submitted_at":"2026-06-15T06:27:44Z","title":"Griffiths and Nakano positivity and Nakano-Nadel vanishing theorems for singular Hermitian metrics on complex spaces","version":2},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-02T11:21:02.659488Z"},"links":{"citing_paper":"/paper/2606.16275"},"observation_digest":"sha256:9b53d94aa01944bf6b31a1b58240d3758618d52575af0469c44f8457d5059e02","observation_id":"27d5a6a9-e212-497b-9c84-fceff712d788","resolution":{"observed_at":"2026-08-02T11:21:02.659488Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2111.13452","last_updated":"2024-05-14T16:04:59Z","snapshot_observed_at":"2026-08-19T22:56:55.394297Z","submitted_at":"2021-11-26T12:11:44Z","title":"Multiplier Submodule Sheaves and a problem of Lempert","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2111.13452","snapshot_observed_at":"2026-08-02T11:21:02.847201Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.16275","last_updated":"2026-07-17T07:23:25Z","snapshot_observed_at":"2026-08-19T02:53:08.469043Z","submitted_at":"2026-06-15T06:27:44Z","title":"Griffiths and Nakano positivity and Nakano-Nadel vanishing theorems for singular Hermitian metrics on complex spaces","version":2},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-02T11:21:02.847201Z"},"links":{"cited_paper":"/paper/2111.13452","citing_paper":"/paper/2606.16275"},"observation_digest":"sha256:cd0b05ff785f4ac752a39d92ff1bba1e9f32e436bcd28f91bb4d0d48b6ab5724","observation_id":"0b406d7e-d8eb-40f9-9bd8-0e9691fb1453","resolution":{"observed_at":"2026-08-02T11:21:02.847201Z","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":"2026-08-02T11:21:03.029917Z","title":"Moishezon, On n -dimensional compact varieties with n algebraically independant meromorphic functions","venue":null,"work_id":null,"year":1966},"citing_paper":{"arxiv_id":"2606.16275","last_updated":"2026-07-17T07:23:25Z","snapshot_observed_at":"2026-08-19T02:53:08.469043Z","submitted_at":"2026-06-15T06:27:44Z","title":"Griffiths and Nakano positivity and Nakano-Nadel vanishing theorems for singular Hermitian metrics on complex spaces","version":2},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-02T11:21:03.029917Z"},"links":{"citing_paper":"/paper/2606.16275"},"observation_digest":"sha256:6147bc1a6d61d126067b56247b30f8251a219e80a4d6254740643bd95a156076","observation_id":"b6a285f7-cbd3-4401-abb5-4cc58f8aa44e","resolution":{"observed_at":"2026-08-02T11:21:03.029917Z","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":"2026-08-02T11:21:03.177747Z","title":null,"venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2606.16275","last_updated":"2026-07-17T07:23:25Z","snapshot_observed_at":"2026-08-19T02:53:08.469043Z","submitted_at":"2026-06-15T06:27:44Z","title":"Griffiths and Nakano positivity and Nakano-Nadel vanishing theorems for singular Hermitian metrics on complex spaces","version":2},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-02T11:21:03.177747Z"},"links":{"citing_paper":"/paper/2606.16275"},"observation_digest":"sha256:429c26a567bb46789ce2386a4f5bbec849c9266741a024f913553232105c9dca","observation_id":"df8b617c-3da8-4248-baba-2ff4af15957e","resolution":{"observed_at":"2026-08-02T11:21:03.177747Z","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":"2026-08-02T11:21:03.285834Z","title":"Ohsawa and K","venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2606.16275","last_updated":"2026-07-17T07:23:25Z","snapshot_observed_at":"2026-08-19T02:53:08.469043Z","submitted_at":"2026-06-15T06:27:44Z","title":"Griffiths and Nakano positivity and Nakano-Nadel vanishing theorems for singular Hermitian metrics on complex spaces","version":2},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-02T11:21:03.285834Z"},"links":{"citing_paper":"/paper/2606.16275"},"observation_digest":"sha256:1fc6796c4a988df10a811bcf7665f1ec6aed46543c668ef78b89d77c8bb1a493","observation_id":"d444499e-d287-4e40-974c-de1a0339b30d","resolution":{"observed_at":"2026-08-02T11:21:03.285834Z","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":"2026-08-02T11:21:03.475933Z","title":"P a un and S","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2606.16275","last_updated":"2026-07-17T07:23:25Z","snapshot_observed_at":"2026-08-19T02:53:08.469043Z","submitted_at":"2026-06-15T06:27:44Z","title":"Griffiths and Nakano positivity and Nakano-Nadel vanishing theorems for singular Hermitian metrics on complex spaces","version":2},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-02T11:21:03.475933Z"},"links":{"citing_paper":"/paper/2606.16275"},"observation_digest":"sha256:16be587d46b360697a0ec3b93c9fd2886e72ff10456f908f1b875e4ff941f8ca","observation_id":"b1d43e82-5a7b-4ad8-9c53-bc53f848eb12","resolution":{"observed_at":"2026-08-02T11:21:03.475933Z","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":"2026-08-02T11:21:03.638723Z","title":"Raufi, Singular hermitian metrics on holomorphic vector bundles, Ark","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2606.16275","last_updated":"2026-07-17T07:23:25Z","snapshot_observed_at":"2026-08-19T02:53:08.469043Z","submitted_at":"2026-06-15T06:27:44Z","title":"Griffiths and Nakano positivity and Nakano-Nadel vanishing theorems for singular Hermitian metrics on complex spaces","version":2},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-02T11:21:03.638723Z"},"links":{"citing_paper":"/paper/2606.16275"},"observation_digest":"sha256:b51f4780c63643ef0c02a035500a6ef1fa358487cefd7fe3139ab768c9b05894","observation_id":"5cc0d242-f6c7-41ce-8a81-40829700e93b","resolution":{"observed_at":"2026-08-02T11:21:03.638723Z","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":"2026-08-02T11:21:03.781956Z","title":"Ruppenthal, L^2 -theory for the -operator on compact complex spaces, Duke Math","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2606.16275","last_updated":"2026-07-17T07:23:25Z","snapshot_observed_at":"2026-08-19T02:53:08.469043Z","submitted_at":"2026-06-15T06:27:44Z","title":"Griffiths and Nakano positivity and Nakano-Nadel vanishing theorems for singular Hermitian metrics on complex spaces","version":2},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-02T11:21:03.781956Z"},"links":{"citing_paper":"/paper/2606.16275"},"observation_digest":"sha256:428e8ee0a0827dc22f641536454d75eeb2678ae83c6130fade8a4fe7cf7a31f6","observation_id":"79372500-d111-496b-b9a6-3c8fb007a6ec","resolution":{"observed_at":"2026-08-02T11:21:03.781956Z","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":"2026-08-02T11:21:03.887787Z","title":"Shentu and C","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2606.16275","last_updated":"2026-07-17T07:23:25Z","snapshot_observed_at":"2026-08-19T02:53:08.469043Z","submitted_at":"2026-06-15T06:27:44Z","title":"Griffiths and Nakano positivity and Nakano-Nadel vanishing theorems for singular Hermitian metrics on complex spaces","version":2},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-02T11:21:03.887787Z"},"links":{"citing_paper":"/paper/2606.16275"},"observation_digest":"sha256:7335ca6cbb6295a2728b4ed2e0ad6b8184175f607c82667915f4632868240de3","observation_id":"fb2d9d72-c7b4-418d-ba2d-865ae84104c4","resolution":{"observed_at":"2026-08-02T11:21:03.887787Z","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":"2026-08-02T11:21:03.973835Z","title":"Shentu and C","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2606.16275","last_updated":"2026-07-17T07:23:25Z","snapshot_observed_at":"2026-08-19T02:53:08.469043Z","submitted_at":"2026-06-15T06:27:44Z","title":"Griffiths and Nakano positivity and Nakano-Nadel vanishing theorems for singular Hermitian metrics on complex spaces","version":2},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-02T11:21:03.973835Z"},"links":{"citing_paper":"/paper/2606.16275"},"observation_digest":"sha256:515948ff3764a8138959a7e2962f2b76d720fd83f3f1721b14d1fc8987d8a385","observation_id":"cda27d58-9705-4223-97c1-94b573217ec2","resolution":{"observed_at":"2026-08-02T11:21:03.973835Z","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":"2026-08-02T11:21:04.134279Z","title":"Shentu and C","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.16275","last_updated":"2026-07-17T07:23:25Z","snapshot_observed_at":"2026-08-19T02:53:08.469043Z","submitted_at":"2026-06-15T06:27:44Z","title":"Griffiths and Nakano positivity and Nakano-Nadel vanishing theorems for singular Hermitian metrics on complex spaces","version":2},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-02T11:21:04.134279Z"},"links":{"citing_paper":"/paper/2606.16275"},"observation_digest":"sha256:3d0af73b0846bafc4fe80b16b4c3e1bc8161539c278108dd9f811c4ac6b82f99","observation_id":"5feada94-7598-450e-a939-9fc021af8b53","resolution":{"observed_at":"2026-08-02T11:21:04.134279Z","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":"2026-08-02T11:21:04.259967Z","title":"Takegoshi, Relative vanishing theorems in analytic spaces, Duke Math","venue":null,"work_id":null,"year":1985},"citing_paper":{"arxiv_id":"2606.16275","last_updated":"2026-07-17T07:23:25Z","snapshot_observed_at":"2026-08-19T02:53:08.469043Z","submitted_at":"2026-06-15T06:27:44Z","title":"Griffiths and Nakano positivity and Nakano-Nadel vanishing theorems for singular Hermitian metrics on complex spaces","version":2},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-02T11:21:04.259967Z"},"links":{"citing_paper":"/paper/2606.16275"},"observation_digest":"sha256:8701e6fbde4e3fdfb987f5ddf344e7d5a985ae33f516a971473d9f37abd70a9f","observation_id":"e7b41a7c-4bbb-4a26-9330-2fc20d3acfd8","resolution":{"observed_at":"2026-08-02T11:21:04.259967Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.06658","last_updated":"2024-02-05T16:48:02Z","snapshot_observed_at":"2026-08-16T14:21:21.224206Z","submitted_at":"2024-02-05T16:48:02Z","title":"$\\omega$-trace and Griffiths positivity for singular Hermitian metrics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.06658","snapshot_observed_at":"2026-08-02T11:21:04.402459Z","title":"Watanabe, -trace and Griffiths positivity for singular Hermitian metrics, arXiv:2402.06658","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.16275","last_updated":"2026-07-17T07:23:25Z","snapshot_observed_at":"2026-08-19T02:53:08.469043Z","submitted_at":"2026-06-15T06:27:44Z","title":"Griffiths and Nakano positivity and Nakano-Nadel vanishing theorems for singular Hermitian metrics on complex spaces","version":2},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-08-02T11:21:04.402459Z"},"links":{"cited_paper":"/paper/2402.06658","citing_paper":"/paper/2606.16275"},"observation_digest":"sha256:0899b9d460a126a8f7970fac3931499b933d84a3aeeaba698729e005ca1352c1","observation_id":"f565b9b5-5bfc-44be-b401-345cacdc5fd0","resolution":{"observed_at":"2026-08-02T11:21:04.402459Z","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":"2026-08-02T11:21:04.570079Z","title":"Watanabe, Bigness of adjoint linear subsystem and approximation theorems with ideal sheaves on weakly pseudoconvex manifolds, arXiv:2412.02007v2","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.16275","last_updated":"2026-07-17T07:23:25Z","snapshot_observed_at":"2026-08-19T02:53:08.469043Z","submitted_at":"2026-06-15T06:27:44Z","title":"Griffiths and Nakano positivity and Nakano-Nadel vanishing theorems for singular Hermitian metrics on complex spaces","version":2},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-08-02T11:21:04.570079Z"},"links":{"citing_paper":"/paper/2606.16275"},"observation_digest":"sha256:b112a8685535ab7ba6d801bed9bd7abdf37a806b6cbf8fa800d88967ad427e32","observation_id":"45864596-81c4-4f49-af3c-00e0aae0fcd6","resolution":{"observed_at":"2026-08-02T11:21:04.570079Z","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":"2026-08-02T11:21:04.609910Z","title":"Watanabe, Nakano-Nadel type, Bogomolov-Sommese type vanishing and singular dual Nakano semi-positivity, Ann","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.16275","last_updated":"2026-07-17T07:23:25Z","snapshot_observed_at":"2026-08-19T02:53:08.469043Z","submitted_at":"2026-06-15T06:27:44Z","title":"Griffiths and Nakano positivity and Nakano-Nadel vanishing theorems for singular Hermitian metrics on complex spaces","version":2},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-08-02T11:21:04.609910Z"},"links":{"citing_paper":"/paper/2606.16275"},"observation_digest":"sha256:cf1da0cea41350dc3fa461acab216e51eaa701a0c941684a3cb611329f3a29e0","observation_id":"49448aa0-85bd-4efe-b69f-73f690fdeaad","resolution":{"observed_at":"2026-08-02T11:21:04.609910Z","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":"2026-08-02T11:21:04.795696Z","title":"Watanabe, Global embeddings of weakly pseudoconvex complex spaces and refined Runge-type approximation theorems, arXiv:2512.03572v3","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.16275","last_updated":"2026-07-17T07:23:25Z","snapshot_observed_at":"2026-08-19T02:53:08.469043Z","submitted_at":"2026-06-15T06:27:44Z","title":"Griffiths and Nakano positivity and Nakano-Nadel vanishing theorems for singular Hermitian metrics on complex spaces","version":2},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-08-02T11:21:04.795696Z"},"links":{"citing_paper":"/paper/2606.16275"},"observation_digest":"sha256:aba1eac3ca48d49fcf7581df19efb48ec4abf2789a887e9c8b6621d8868a8f30","observation_id":"981dde1d-c325-49db-9f1b-ac4e2aa4f37c","resolution":{"observed_at":"2026-08-02T11:21:04.795696Z","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":"2026-08-02T11:21:04.945655Z","title":"Watanabe, Nakano-Nadel vanishing theorem on weakly pseudoconvex manifolds, preprint","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.16275","last_updated":"2026-07-17T07:23:25Z","snapshot_observed_at":"2026-08-19T02:53:08.469043Z","submitted_at":"2026-06-15T06:27:44Z","title":"Griffiths and Nakano positivity and Nakano-Nadel vanishing theorems for singular Hermitian metrics on complex spaces","version":2},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-08-02T11:21:04.945655Z"},"links":{"citing_paper":"/paper/2606.16275"},"observation_digest":"sha256:7c4fdc13e412afb295d824d2d51f5d5a5f75130f35b90a8218c8c51c2fd65454","observation_id":"a8829979-839f-4584-aa0b-c829fa49cf79","resolution":{"observed_at":"2026-08-02T11:21:04.945655Z","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":"2026-08-02T11:21:05.107661Z","title":"Watanabe, L^2 -Dolbeault isomorphisms and vanishing theorems for logarithmic sheaves twisted by multiplier ideal sheaves, Math","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2606.16275","last_updated":"2026-07-17T07:23:25Z","snapshot_observed_at":"2026-08-19T02:53:08.469043Z","submitted_at":"2026-06-15T06:27:44Z","title":"Griffiths and Nakano positivity and Nakano-Nadel vanishing theorems for singular Hermitian metrics on complex spaces","version":2},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-08-02T11:21:05.107661Z"},"links":{"citing_paper":"/paper/2606.16275"},"observation_digest":"sha256:ddbc60e9eb36667671baec7ef0f45e45acaa8b35c022cb18e443bc923d5da2bd","observation_id":"035edf32-073d-4c72-8c98-9f7c0db7cbc5","resolution":{"observed_at":"2026-08-02T11:21:05.107661Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2602.03332","last_updated":"2026-07-15T20:54:03Z","snapshot_observed_at":"2026-08-19T15:07:00.488193Z","submitted_at":"2026-02-03T10:00:02Z","title":"$L^2$-Dolbeault resolutions and Nadel vanishing on weakly pseudoconvex complex spaces with singular Hermitian metrics","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2602.03332","snapshot_observed_at":"2026-08-02T11:21:05.289586Z","title":"Watanabe, L^2 -Dolbeault resolutions and Nadel vanishing on weakly pseudoconvex complex spaces with singular Hermitian metrics, arXiv:2602.03332","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.16275","last_updated":"2026-07-17T07:23:25Z","snapshot_observed_at":"2026-08-19T02:53:08.469043Z","submitted_at":"2026-06-15T06:27:44Z","title":"Griffiths and Nakano positivity and Nakano-Nadel vanishing theorems for singular Hermitian metrics on complex spaces","version":2},"reference_index":43,"source":"arxiv_source","source_observed_at":"2026-08-02T11:21:05.289586Z"},"links":{"cited_paper":"/paper/2602.03332","citing_paper":"/paper/2606.16275"},"observation_digest":"sha256:8b54f1ecaf5b24c212f109fec46e43feda7a7ed301be7dae7dbad2f8264ec7d1","observation_id":"146584ea-ec83-436b-9430-390d234a8381","resolution":{"observed_at":"2026-08-02T11:21:05.289586Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2606.16275","last_updated":"2026-07-17T07:23:25Z","latest_version":2,"primary_category":"math.CV","snapshot_observed_at":"2026-08-19T02:53:08.469043Z","submitted_at":"2026-06-15T06:27:44Z","title":"Griffiths and Nakano positivity and Nakano-Nadel vanishing theorems for singular Hermitian metrics on complex spaces"},"reference_resolution":{"displayed":43,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":43,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":43},"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":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"thesis":"As of 20 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 1 inbound Pith citation observation for arXiv:2606.16275."}