{"as_of":"2026-08-09T10:54:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:caa285b1e8ca063ae4828df4e61217069e85f73526fa7f260d0bf58c0bd76bc9","coverage":[{"denominator":51,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":51,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-29T06:03:09.033304Z","state":"measured"},{"denominator":52,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":52,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T04:23:38.902030Z","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":"2026-08-06T04:23:40.522733Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2605.29258","last_updated":"2026-05-28T02:22:41Z","snapshot_observed_at":"2026-08-04T05:19:47.823673Z","submitted_at":"2026-05-28T02:22:41Z","title":"Weak solutions of the generalized Monge-Amp\\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases","version":1},"cited_work":{"arxiv_id":"2605.29258","doi":null,"metadata_source":"pith","pith_arxiv_id":"2605.29258","snapshot_observed_at":"2026-08-06T04:23:40.522733Z","title":"Weak solutions of the generalized Monge-Amp\\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases","venue":"math.DG","work_id":"5959918b-f36b-4cb3-8bb8-c5b8e651d2f1","year":2026},"citing_paper":{"arxiv_id":"2608.01198","last_updated":"2026-08-05T07:43:07Z","snapshot_observed_at":"2026-08-08T23:10:43.357105Z","submitted_at":"2026-08-02T12:30:15Z","title":"On the Datar-Mete-Song minimal slope conjecture","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-06T04:23:38.902030Z"},"links":{"cited_paper":"/paper/2605.29258","citing_paper":"/paper/2608.01198"},"observation_digest":"sha256:7c09df509b530ec57b987fb0446783c8960324fe7031829cdc57e41fe78b9174","observation_id":"252a18f9-fc53-44f7-bb9a-96e8c365d7b8","resolution":{"observed_at":"2026-08-06T04:23:40.619714Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2605.29258/citation-record","integrity":"/paper/2605.29258/integrity","json":"/paper/2605.29258/citation-record.json","paper":"/paper/2605.29258"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T06:03:09.033304Z","title":"Bedford and B","venue":null,"work_id":null,"year":1976},"citing_paper":{"arxiv_id":"2605.29258","last_updated":"2026-05-28T02:22:41Z","snapshot_observed_at":"2026-08-04T05:19:47.823673Z","submitted_at":"2026-05-28T02:22:41Z","title":"Weak solutions of the generalized Monge-Amp\\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-06-29T06:03:09.033304Z"},"links":{"citing_paper":"/paper/2605.29258"},"observation_digest":"sha256:2e259974b5feebb7df8f7c454183e1fb22b1b327cb194157a504817b46535c96","observation_id":"36de8602-047f-4dc7-a979-9ac079f53e87","resolution":{"observed_at":"2026-06-29T06:03:09.033304Z","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":"2026-06-29T06:03:09.033304Z","title":"Bedford and B","venue":null,"work_id":null,"year":1982},"citing_paper":{"arxiv_id":"2605.29258","last_updated":"2026-05-28T02:22:41Z","snapshot_observed_at":"2026-08-04T05:19:47.823673Z","submitted_at":"2026-05-28T02:22:41Z","title":"Weak solutions of the generalized Monge-Amp\\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-06-29T06:03:09.033304Z"},"links":{"citing_paper":"/paper/2605.29258"},"observation_digest":"sha256:9ae4f3ff1c780e396b5410b1250262ad1e2a485d64a2fced59ed24075c50581b","observation_id":"00116347-befa-423a-b9ed-a0ffb41c26d1","resolution":{"observed_at":"2026-06-29T06:03:09.033304Z","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":"2026-06-29T06:03:09.033304Z","title":"Błocki and S","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2605.29258","last_updated":"2026-05-28T02:22:41Z","snapshot_observed_at":"2026-08-04T05:19:47.823673Z","submitted_at":"2026-05-28T02:22:41Z","title":"Weak solutions of the generalized Monge-Amp\\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-06-29T06:03:09.033304Z"},"links":{"citing_paper":"/paper/2605.29258"},"observation_digest":"sha256:1b6dfd66356c04d162bae19cb535f812e6154d79076dfb22958ae86543cf5c6c","observation_id":"35de8187-3a58-43b5-8ac3-bb5afa935fef","resolution":{"observed_at":"2026-06-29T06:03:09.033304Z","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":"2026-06-29T06:03:09.033304Z","title":"Boucksom, P","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2605.29258","last_updated":"2026-05-28T02:22:41Z","snapshot_observed_at":"2026-08-04T05:19:47.823673Z","submitted_at":"2026-05-28T02:22:41Z","title":"Weak solutions of the generalized Monge-Amp\\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-06-29T06:03:09.033304Z"},"links":{"citing_paper":"/paper/2605.29258"},"observation_digest":"sha256:5380dea7e0d9af87532f1e34e058f175d910cdcd8f59829e75d6b98a374d18bd","observation_id":"cfd56c9d-6cf9-45e9-a3c7-67f9d6dfbe30","resolution":{"observed_at":"2026-06-29T06:03:09.033304Z","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":"2026-06-29T06:03:09.033304Z","title":null,"venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2605.29258","last_updated":"2026-05-28T02:22:41Z","snapshot_observed_at":"2026-08-04T05:19:47.823673Z","submitted_at":"2026-05-28T02:22:41Z","title":"Weak solutions of the generalized Monge-Amp\\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-06-29T06:03:09.033304Z"},"links":{"citing_paper":"/paper/2605.29258"},"observation_digest":"sha256:962db1bd70b5ef85e918586fc51f2b40e55699bc04b6e0d25dba94be47afd882","observation_id":"1ce4b1e9-e21d-4ac0-b0c8-3711958d770a","resolution":{"observed_at":"2026-06-29T06:03:09.033304Z","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":"2026-06-29T06:03:09.033304Z","title":"Chen, The J-equation and the supercritical deformed Hermitian-Yang-Mills equation, Invent","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2605.29258","last_updated":"2026-05-28T02:22:41Z","snapshot_observed_at":"2026-08-04T05:19:47.823673Z","submitted_at":"2026-05-28T02:22:41Z","title":"Weak solutions of the generalized Monge-Amp\\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-06-29T06:03:09.033304Z"},"links":{"citing_paper":"/paper/2605.29258"},"observation_digest":"sha256:d6a8ccc832b993344f5a36afc6851b94364fc8b84896d0a329cdc63775cc8427","observation_id":"32286398-61d2-4d0b-a204-de5596b1f16e","resolution":{"observed_at":"2026-06-29T06:03:09.033304Z","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":"2026-06-29T06:03:09.033304Z","title":null,"venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2605.29258","last_updated":"2026-05-28T02:22:41Z","snapshot_observed_at":"2026-08-04T05:19:47.823673Z","submitted_at":"2026-05-28T02:22:41Z","title":"Weak solutions of the generalized Monge-Amp\\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-06-29T06:03:09.033304Z"},"links":{"citing_paper":"/paper/2605.29258"},"observation_digest":"sha256:f12ad2e07d04a934ab63cd813df6bfc8d2ef6f89db10dedf5237be6d1a07cd99","observation_id":"20ed1e65-a73f-464d-8b62-ee27cd743662","resolution":{"observed_at":"2026-06-29T06:03:09.033304Z","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":"2026-06-29T06:03:09.033304Z","title":"Cheng and Y","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2605.29258","last_updated":"2026-05-28T02:22:41Z","snapshot_observed_at":"2026-08-04T05:19:47.823673Z","submitted_at":"2026-05-28T02:22:41Z","title":"Weak solutions of the generalized Monge-Amp\\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-06-29T06:03:09.033304Z"},"links":{"citing_paper":"/paper/2605.29258"},"observation_digest":"sha256:f857001b47d6cca863dac3e913cf73955d36e5ee5564d965300e2b654503503b","observation_id":"46a4d1dd-038c-4105-84f4-3763296d5770","resolution":{"observed_at":"2026-06-29T06:03:09.033304Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2501.17016","last_updated":"2025-01-28T15:28:00Z","snapshot_observed_at":"2026-08-05T23:41:46.629092Z","submitted_at":"2025-01-28T15:28:00Z","title":"Viscosity solution to complex Hessian quotient equations","version":1},"cited_work":{"arxiv_id":"2501.17016","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2501.17016","snapshot_observed_at":"2026-06-29T15:03:32.033463Z","title":"Cheng and Y","venue":null,"work_id":"e4866e98-5a0e-43bc-b55f-bab8a7345c7b","year":null},"citing_paper":{"arxiv_id":"2605.29258","last_updated":"2026-05-28T02:22:41Z","snapshot_observed_at":"2026-08-04T05:19:47.823673Z","submitted_at":"2026-05-28T02:22:41Z","title":"Weak solutions of the generalized Monge-Amp\\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-06-29T06:03:09.033304Z"},"links":{"cited_paper":"/paper/2501.17016","citing_paper":"/paper/2605.29258"},"observation_digest":"sha256:3a4b534c610b7ec8136a2918ad5741cf69d0511bc06060d95a1f4ffb6eb11ddb","observation_id":"cb9747b1-fe91-48e2-973a-99e135a5a3ed","resolution":{"observed_at":"2026-06-29T15:03:32.034938Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2107.13192","last_updated":"2021-07-28T06:48:46Z","snapshot_observed_at":"2026-07-06T11:33:12.096573Z","submitted_at":"2021-07-28T06:48:46Z","title":"Hypercritical deformed Hermitian-Yang-Mills equation","version":1},"cited_work":{"arxiv_id":"2107.13192","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2107.13192","snapshot_observed_at":"2026-06-29T15:03:32.030828Z","title":"Chu and M.-C","venue":null,"work_id":"04ea9dd6-5128-42c9-bd66-e725c6557efd","year":null},"citing_paper":{"arxiv_id":"2605.29258","last_updated":"2026-05-28T02:22:41Z","snapshot_observed_at":"2026-08-04T05:19:47.823673Z","submitted_at":"2026-05-28T02:22:41Z","title":"Weak solutions of the generalized Monge-Amp\\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-06-29T06:03:09.033304Z"},"links":{"cited_paper":"/paper/2107.13192","citing_paper":"/paper/2605.29258"},"observation_digest":"sha256:99721461352c187d007cf15b4d5c8899570f59a3a45f17ef56a7bff8c5b0fb94","observation_id":"90462174-8607-484a-aa59-603c0e6f70bf","resolution":{"observed_at":"2026-06-29T15:03:32.032410Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T06:03:09.033304Z","title":"Chu, M.-C","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2605.29258","last_updated":"2026-05-28T02:22:41Z","snapshot_observed_at":"2026-08-04T05:19:47.823673Z","submitted_at":"2026-05-28T02:22:41Z","title":"Weak solutions of the generalized Monge-Amp\\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-06-29T06:03:09.033304Z"},"links":{"citing_paper":"/paper/2605.29258"},"observation_digest":"sha256:585c54474673b01fd2cca208f5f329a91f7038563415127deafff9918a695b97","observation_id":"dbe951ee-372e-4798-b36d-624482ab6003","resolution":{"observed_at":"2026-06-29T06:03:09.033304Z","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":"2026-06-29T06:03:09.033304Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2605.29258","last_updated":"2026-05-28T02:22:41Z","snapshot_observed_at":"2026-08-04T05:19:47.823673Z","submitted_at":"2026-05-28T02:22:41Z","title":"Weak solutions of the generalized Monge-Amp\\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-06-29T06:03:09.033304Z"},"links":{"citing_paper":"/paper/2605.29258"},"observation_digest":"sha256:0f3d0a4871f9d9a7530bf45e31d06bb6ee8f39aea88af78b8ff8243ffdaf5fe0","observation_id":"d5328a47-21fc-48e4-8ab1-4973d7a6e5d4","resolution":{"observed_at":"2026-06-29T06:03:09.033304Z","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":"2026-06-29T06:03:09.033304Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2605.29258","last_updated":"2026-05-28T02:22:41Z","snapshot_observed_at":"2026-08-04T05:19:47.823673Z","submitted_at":"2026-05-28T02:22:41Z","title":"Weak solutions of the generalized Monge-Amp\\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-06-29T06:03:09.033304Z"},"links":{"citing_paper":"/paper/2605.29258"},"observation_digest":"sha256:9f12236d85d3a6efbc8867bd1217858defe96d3f989b1c12db18f3e865213188","observation_id":"25ccd5d5-18dc-4b3c-a4eb-a7d498472b71","resolution":{"observed_at":"2026-06-29T06:03:09.033304Z","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":"2026-06-29T06:03:09.033304Z","title":null,"venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2605.29258","last_updated":"2026-05-28T02:22:41Z","snapshot_observed_at":"2026-08-04T05:19:47.823673Z","submitted_at":"2026-05-28T02:22:41Z","title":"Weak solutions of the generalized Monge-Amp\\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-06-29T06:03:09.033304Z"},"links":{"citing_paper":"/paper/2605.29258"},"observation_digest":"sha256:a03b9e3d34f3ffafb8325a25ad8632b6c421c865c007f3b418ecd8b1c92a5317","observation_id":"62683e48-10b8-46bb-aa3e-86285bc7c578","resolution":{"observed_at":"2026-06-29T06:03:09.033304Z","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":"2026-06-29T06:03:09.033304Z","title":"Darvas, E","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2605.29258","last_updated":"2026-05-28T02:22:41Z","snapshot_observed_at":"2026-08-04T05:19:47.823673Z","submitted_at":"2026-05-28T02:22:41Z","title":"Weak solutions of the generalized Monge-Amp\\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-06-29T06:03:09.033304Z"},"links":{"citing_paper":"/paper/2605.29258"},"observation_digest":"sha256:a301174a6af732559da31b9cc4dd436ceee1cdb88b2346aae33d2a0548263dac","observation_id":"070630c1-a83d-46b6-bcca-dcefcd52e50d","resolution":{"observed_at":"2026-06-29T06:03:09.033304Z","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":"2026-06-29T06:03:09.033304Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2605.29258","last_updated":"2026-05-28T02:22:41Z","snapshot_observed_at":"2026-08-04T05:19:47.823673Z","submitted_at":"2026-05-28T02:22:41Z","title":"Weak solutions of the generalized Monge-Amp\\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-06-29T06:03:09.033304Z"},"links":{"citing_paper":"/paper/2605.29258"},"observation_digest":"sha256:5b32a76e686553221fa8e87ed15da4aa47c9aa0ef59806d601625a27031ecde4","observation_id":"a778e740-4f8a-4017-8db7-0958d55443c4","resolution":{"observed_at":"2026-06-29T06:03:09.033304Z","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":"2026-06-29T06:03:09.033304Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2605.29258","last_updated":"2026-05-28T02:22:41Z","snapshot_observed_at":"2026-08-04T05:19:47.823673Z","submitted_at":"2026-05-28T02:22:41Z","title":"Weak solutions of the generalized Monge-Amp\\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-06-29T06:03:09.033304Z"},"links":{"citing_paper":"/paper/2605.29258"},"observation_digest":"sha256:8ee0b2a31fb2dbe0f580e059815508f3258f833487341419f57c60efa49c0929","observation_id":"5ede658b-d087-4a51-a4a2-26a62d3e1f5e","resolution":{"observed_at":"2026-06-29T06:03:09.033304Z","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":"2026-06-29T06:03:09.033304Z","title":"a hler cone of a compact K \\","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2605.29258","last_updated":"2026-05-28T02:22:41Z","snapshot_observed_at":"2026-08-04T05:19:47.823673Z","submitted_at":"2026-05-28T02:22:41Z","title":"Weak solutions of the generalized Monge-Amp\\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-06-29T06:03:09.033304Z"},"links":{"citing_paper":"/paper/2605.29258"},"observation_digest":"sha256:918de7c7bceec1b41f25ee2e92e80299f7a2c6223d753f4b971783d03721eb71","observation_id":"972c8c5d-09e5-425c-b88f-9f90d78705c6","resolution":{"observed_at":"2026-06-29T06:03:09.033304Z","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":"2026-06-29T06:03:09.033304Z","title":"Dinew, Uniqueness in E(X, ) , J","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2605.29258","last_updated":"2026-05-28T02:22:41Z","snapshot_observed_at":"2026-08-04T05:19:47.823673Z","submitted_at":"2026-05-28T02:22:41Z","title":"Weak solutions of the generalized Monge-Amp\\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-06-29T06:03:09.033304Z"},"links":{"citing_paper":"/paper/2605.29258"},"observation_digest":"sha256:228492718cea44c94baa1046028fed220767842d7ab4577a351a21ca97004c4b","observation_id":"e031b99b-48b2-4b14-82b6-93ec7fb705e4","resolution":{"observed_at":"2026-06-29T06:03:09.033304Z","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":"2026-06-29T06:03:09.033304Z","title":"Dinew, H.-S","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2605.29258","last_updated":"2026-05-28T02:22:41Z","snapshot_observed_at":"2026-08-04T05:19:47.823673Z","submitted_at":"2026-05-28T02:22:41Z","title":"Weak solutions of the generalized Monge-Amp\\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-06-29T06:03:09.033304Z"},"links":{"citing_paper":"/paper/2605.29258"},"observation_digest":"sha256:07fb393eb250eeeb71320e74b36488a56af9090ddcf5a5c2a5df1fb138e6bed8","observation_id":"ade5f076-71ae-454d-86ce-ab9d97a5d46a","resolution":{"observed_at":"2026-06-29T06:03:09.033304Z","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":"2026-06-29T06:03:09.033304Z","title":"Dinew and S","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2605.29258","last_updated":"2026-05-28T02:22:41Z","snapshot_observed_at":"2026-08-04T05:19:47.823673Z","submitted_at":"2026-05-28T02:22:41Z","title":"Weak solutions of the generalized Monge-Amp\\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-06-29T06:03:09.033304Z"},"links":{"citing_paper":"/paper/2605.29258"},"observation_digest":"sha256:2d99ac09c06eccd148924bb1d6ec79f03904722a9e15f9241c332dc2d6e883c3","observation_id":"be4d0f82-ccba-4a4c-976a-6fba083d18af","resolution":{"observed_at":"2026-06-29T06:03:09.033304Z","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":"2026-06-29T06:03:09.033304Z","title":null,"venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2605.29258","last_updated":"2026-05-28T02:22:41Z","snapshot_observed_at":"2026-08-04T05:19:47.823673Z","submitted_at":"2026-05-28T02:22:41Z","title":"Weak solutions of the generalized Monge-Amp\\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-06-29T06:03:09.033304Z"},"links":{"citing_paper":"/paper/2605.29258"},"observation_digest":"sha256:7f0459bbdd414152c2f263c5b5dcabdfbf60fba8b2fe3254723a70d3cdb44ea3","observation_id":"e547ef72-9774-428e-8326-ee4cdd3e41f0","resolution":{"observed_at":"2026-06-29T06:03:09.033304Z","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":"2026-06-29T06:03:09.033304Z","title":"Eyssidieux, V","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2605.29258","last_updated":"2026-05-28T02:22:41Z","snapshot_observed_at":"2026-08-04T05:19:47.823673Z","submitted_at":"2026-05-28T02:22:41Z","title":"Weak solutions of the generalized Monge-Amp\\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-06-29T06:03:09.033304Z"},"links":{"citing_paper":"/paper/2605.29258"},"observation_digest":"sha256:bb6b82be0fa554ed5576a0d1cef6cfb44bfc91ced78ae49ac068986eb7e3df53","observation_id":"18db5f3b-3a40-448e-99e3-e4c2e624643e","resolution":{"observed_at":"2026-06-29T06:03:09.033304Z","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":"2026-06-29T06:03:09.033304Z","title":"Fang and M","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2605.29258","last_updated":"2026-05-28T02:22:41Z","snapshot_observed_at":"2026-08-04T05:19:47.823673Z","submitted_at":"2026-05-28T02:22:41Z","title":"Weak solutions of the generalized Monge-Amp\\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-06-29T06:03:09.033304Z"},"links":{"citing_paper":"/paper/2605.29258"},"observation_digest":"sha256:a5dff4b03fa99f741ea1d103b8fc7d4f4a23dda132786ad73a6743db8d83a9d0","observation_id":"b6a463a4-0b39-41f6-96e6-a7f87452446e","resolution":{"observed_at":"2026-06-29T06:03:09.033304Z","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":"2026-06-29T06:03:09.033304Z","title":null,"venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2605.29258","last_updated":"2026-05-28T02:22:41Z","snapshot_observed_at":"2026-08-04T05:19:47.823673Z","submitted_at":"2026-05-28T02:22:41Z","title":"Weak solutions of the generalized Monge-Amp\\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-06-29T06:03:09.033304Z"},"links":{"citing_paper":"/paper/2605.29258"},"observation_digest":"sha256:3f0c78a3e3777fa69e5f26dd4c2ac65c500920149448bdfd49e80f159f297b07","observation_id":"1f8bc4ef-bab1-4bca-ad66-2b6825f3f8e7","resolution":{"observed_at":"2026-06-29T06:03:09.033304Z","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":"2026-06-29T06:03:09.033304Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2605.29258","last_updated":"2026-05-28T02:22:41Z","snapshot_observed_at":"2026-08-04T05:19:47.823673Z","submitted_at":"2026-05-28T02:22:41Z","title":"Weak solutions of the generalized Monge-Amp\\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-06-29T06:03:09.033304Z"},"links":{"citing_paper":"/paper/2605.29258"},"observation_digest":"sha256:b945b4ea4edfbe1b02ee885001a0cf027aaee80d5f28ba658fbb9a615eb37d7f","observation_id":"ff0c1061-daa0-4617-87e1-878d83fb7803","resolution":{"observed_at":"2026-06-29T06:03:09.033304Z","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":"2026-06-29T06:03:09.033304Z","title":"Fang and B","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2605.29258","last_updated":"2026-05-28T02:22:41Z","snapshot_observed_at":"2026-08-04T05:19:47.823673Z","submitted_at":"2026-05-28T02:22:41Z","title":"Weak solutions of the generalized Monge-Amp\\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-06-29T06:03:09.033304Z"},"links":{"citing_paper":"/paper/2605.29258"},"observation_digest":"sha256:b7bf2712496df47a0c0f61644d49ba6291499b76cb65f8161971b349c3ae6605","observation_id":"a61919a5-5d72-4e2d-8743-b69e4995c58c","resolution":{"observed_at":"2026-06-29T06:03:09.033304Z","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":"2026-06-29T06:03:09.033304Z","title":"Fu, S.-T","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2605.29258","last_updated":"2026-05-28T02:22:41Z","snapshot_observed_at":"2026-08-04T05:19:47.823673Z","submitted_at":"2026-05-28T02:22:41Z","title":"Weak solutions of the generalized Monge-Amp\\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-06-29T06:03:09.033304Z"},"links":{"citing_paper":"/paper/2605.29258"},"observation_digest":"sha256:c407ef0c18f7d824dd93ded04a5769a2935445f2b94ca1872aa8e5e483013778","observation_id":"4f9bc6e5-9b53-49c8-aa37-9a5fe310be94","resolution":{"observed_at":"2026-06-29T06:03:09.033304Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2511.21492","last_updated":"2026-06-10T19:31:41Z","snapshot_observed_at":"2026-08-03T20:10:20.829652Z","submitted_at":"2025-11-26T15:25:13Z","title":"The Critical LYZ Equation in K\\\"ahler Geometry","version":4},"cited_work":{"arxiv_id":"2511.21492","doi":null,"metadata_source":"pith","pith_arxiv_id":"2511.21492","snapshot_observed_at":"2026-06-29T15:03:32.030582Z","title":"The Critical LYZ Equation in K\\\"ahler Geometry","venue":"math.DG","work_id":"96eff2a6-9e32-49c4-85b0-e68c6f4bc337","year":2025},"citing_paper":{"arxiv_id":"2605.29258","last_updated":"2026-05-28T02:22:41Z","snapshot_observed_at":"2026-08-04T05:19:47.823673Z","submitted_at":"2026-05-28T02:22:41Z","title":"Weak solutions of the generalized Monge-Amp\\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-06-29T06:03:09.033304Z"},"links":{"cited_paper":"/paper/2511.21492","citing_paper":"/paper/2605.29258"},"observation_digest":"sha256:57fa435f1d77cdf37d08e824c323625357582616ee19794ac53fa4870d594a00","observation_id":"9a1a34f4-9fdc-4b87-a797-27ea04b57096","resolution":{"observed_at":"2026-06-29T15:03:32.032231Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T06:03:09.033304Z","title":"Guedj and A","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2605.29258","last_updated":"2026-05-28T02:22:41Z","snapshot_observed_at":"2026-08-04T05:19:47.823673Z","submitted_at":"2026-05-28T02:22:41Z","title":"Weak solutions of the generalized Monge-Amp\\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-06-29T06:03:09.033304Z"},"links":{"citing_paper":"/paper/2605.29258"},"observation_digest":"sha256:328905b3d5ca8346f3ec0cc84c00c0a1ba8d4a0bb840a428664129f4cd5dcf6c","observation_id":"49067114-0feb-48f6-b57d-48b211b6d3a6","resolution":{"observed_at":"2026-06-29T06:03:09.033304Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.03074","last_updated":"2024-05-05T22:53:49Z","snapshot_observed_at":"2026-07-06T18:10:08.416524Z","submitted_at":"2024-05-05T22:53:49Z","title":"Sup-slopes and sub-solutions for fully nonlinear elliptic equations","version":1},"cited_work":{"arxiv_id":"2405.03074","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2405.03074","snapshot_observed_at":"2026-06-29T15:03:32.025028Z","title":"Guo and J","venue":null,"work_id":"fcc702c6-979a-416f-9619-2ff8e466424f","year":2024},"citing_paper":{"arxiv_id":"2605.29258","last_updated":"2026-05-28T02:22:41Z","snapshot_observed_at":"2026-08-04T05:19:47.823673Z","submitted_at":"2026-05-28T02:22:41Z","title":"Weak solutions of the generalized Monge-Amp\\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-06-29T06:03:09.033304Z"},"links":{"cited_paper":"/paper/2405.03074","citing_paper":"/paper/2605.29258"},"observation_digest":"sha256:526ea87751b323b08130b592c39a3d107a59cee63439cf27b997148e35fdfae7","observation_id":"e69dfa96-01d5-435b-9323-839e292d38fe","resolution":{"observed_at":"2026-06-29T15:03:32.026672Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T06:03:09.033304Z","title":"Hashimoto, Existence of twisted constant scalar curvature K \\\"a hler metrics with a large twist, Math","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2605.29258","last_updated":"2026-05-28T02:22:41Z","snapshot_observed_at":"2026-08-04T05:19:47.823673Z","submitted_at":"2026-05-28T02:22:41Z","title":"Weak solutions of the generalized Monge-Amp\\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-06-29T06:03:09.033304Z"},"links":{"citing_paper":"/paper/2605.29258"},"observation_digest":"sha256:bdb121ac003de32e67c49dbe16738b9a8f563f879322eb64150ed20c8d5b415f","observation_id":"c56115e2-303c-46c8-aa5b-fc0b7c2c864b","resolution":{"observed_at":"2026-06-29T06:03:09.033304Z","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":"2026-06-29T06:03:09.033304Z","title":"Ishii, On uniqueness and existence of viscosity solutions of fully nonlinear second-order elliptic PDEs, Comm","venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2605.29258","last_updated":"2026-05-28T02:22:41Z","snapshot_observed_at":"2026-08-04T05:19:47.823673Z","submitted_at":"2026-05-28T02:22:41Z","title":"Weak solutions of the generalized Monge-Amp\\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-06-29T06:03:09.033304Z"},"links":{"citing_paper":"/paper/2605.29258"},"observation_digest":"sha256:204a82c8b1ffb808eb5886b595f62f669bf17ac6e52a5a202b62d71baae2321b","observation_id":"aab7333a-e75c-4619-bd03-fcd5ae5e407d","resolution":{"observed_at":"2026-06-29T06:03:09.033304Z","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":"2026-06-29T06:03:09.033304Z","title":"Kołodziej and N","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2605.29258","last_updated":"2026-05-28T02:22:41Z","snapshot_observed_at":"2026-08-04T05:19:47.823673Z","submitted_at":"2026-05-28T02:22:41Z","title":"Weak solutions of the generalized Monge-Amp\\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-06-29T06:03:09.033304Z"},"links":{"citing_paper":"/paper/2605.29258"},"observation_digest":"sha256:e19616258792d9f07126b6c3514d76c1710c7ea88e9e9cf024405c987c851d3d","observation_id":"4cf96a8b-a3a3-4efa-a341-132d2ac9f337","resolution":{"observed_at":"2026-06-29T06:03:09.033304Z","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":"2026-06-29T06:03:09.033304Z","title":null,"venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2605.29258","last_updated":"2026-05-28T02:22:41Z","snapshot_observed_at":"2026-08-04T05:19:47.823673Z","submitted_at":"2026-05-28T02:22:41Z","title":"Weak solutions of the generalized Monge-Amp\\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases","version":1},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-06-29T06:03:09.033304Z"},"links":{"citing_paper":"/paper/2605.29258"},"observation_digest":"sha256:179b8a5a6a2fc7e892b2099a103ad6416a9ea897e4634cb4543076d17d1a7373","observation_id":"1973cd90-729e-4ccf-9394-92f5c81c8d59","resolution":{"observed_at":"2026-06-29T06:03:09.033304Z","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":"2026-06-29T06:03:09.033304Z","title":"Lin, The deformed Hermitian-Yang-Mills equation, the Positivstellensatz, and the solvability, Adv","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2605.29258","last_updated":"2026-05-28T02:22:41Z","snapshot_observed_at":"2026-08-04T05:19:47.823673Z","submitted_at":"2026-05-28T02:22:41Z","title":"Weak solutions of the generalized Monge-Amp\\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-06-29T06:03:09.033304Z"},"links":{"citing_paper":"/paper/2605.29258"},"observation_digest":"sha256:1d4317d12ed1c78ac4d792249e13ba0ef18077c7bb70b7b2bfa6e48c17eaa84e","observation_id":"f684b32e-8c8e-4179-abb9-bfa0d2c9f7ef","resolution":{"observed_at":"2026-06-29T06:03:09.033304Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2310.05339","last_updated":"2023-10-09T01:59:08Z","snapshot_observed_at":"2026-07-06T16:29:32.059905Z","submitted_at":"2023-10-09T01:59:08Z","title":"On the Solvability of General Inverse $\\sigma_k$ Equations","version":1},"cited_work":{"arxiv_id":"2310.05339","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2310.05339","snapshot_observed_at":"2026-06-29T15:03:32.021659Z","title":"Lin, On the Solvability of General Inverse _k Equations, preprint, available at arXiv:2310.05339v1","venue":null,"work_id":"2f76563f-fa0e-49a3-b8d6-5588bf25bbf5","year":null},"citing_paper":{"arxiv_id":"2605.29258","last_updated":"2026-05-28T02:22:41Z","snapshot_observed_at":"2026-08-04T05:19:47.823673Z","submitted_at":"2026-05-28T02:22:41Z","title":"Weak solutions of the generalized Monge-Amp\\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases","version":1},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-06-29T06:03:09.033304Z"},"links":{"cited_paper":"/paper/2310.05339","citing_paper":"/paper/2605.29258"},"observation_digest":"sha256:737eb9d0ec7658adfbadc58afaf6857b93bd05b867a18c575361e0d92e7e67c6","observation_id":"865c2820-b1db-444c-b971-aeebf5848410","resolution":{"observed_at":"2026-06-29T15:03:32.023384Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T06:03:09.033304Z","title":"Murakami, Weak limits of the J-flow and the deformed Hermitian-Yang-Mills flow on Kähler surfaces: boundary cases, Ann","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2605.29258","last_updated":"2026-05-28T02:22:41Z","snapshot_observed_at":"2026-08-04T05:19:47.823673Z","submitted_at":"2026-05-28T02:22:41Z","title":"Weak solutions of the generalized Monge-Amp\\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases","version":1},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-06-29T06:03:09.033304Z"},"links":{"citing_paper":"/paper/2605.29258"},"observation_digest":"sha256:253e3b9d49f54a2a1bbf509ea0d06508044efd738e69d274f8775283439f6068","observation_id":"8e3318b9-cc6c-41cd-836a-4df31ede0f61","resolution":{"observed_at":"2026-06-29T06:03:09.033304Z","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":"2512.07084","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-04T04:09:33.995868Z","title":null,"venue":null,"work_id":"a31ea1af-14ee-40ec-8439-d943e5e1ed93","year":null},"citing_paper":{"arxiv_id":"2605.29258","last_updated":"2026-05-28T02:22:41Z","snapshot_observed_at":"2026-08-04T05:19:47.823673Z","submitted_at":"2026-05-28T02:22:41Z","title":"Weak solutions of the generalized Monge-Amp\\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases","version":1},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-06-29T06:03:09.033304Z"},"links":{"citing_paper":"/paper/2605.29258"},"observation_digest":"sha256:866e881a60e30ef595cad97f76e8e0bbd9bc39611f36c925409bb19c993b6125","observation_id":"422714ee-a1c7-4364-b310-1294bd93e2ce","resolution":{"observed_at":"2026-06-29T15:03:32.026400Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T06:03:09.033304Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2605.29258","last_updated":"2026-05-28T02:22:41Z","snapshot_observed_at":"2026-08-04T05:19:47.823673Z","submitted_at":"2026-05-28T02:22:41Z","title":"Weak solutions of the generalized Monge-Amp\\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases","version":1},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-06-29T06:03:09.033304Z"},"links":{"citing_paper":"/paper/2605.29258"},"observation_digest":"sha256:80f909dc7977654d85d0e80035b407d6df6f403fda813532b901da26b6e01fc8","observation_id":"7a52fa46-5042-42c2-8d3f-cb160867c406","resolution":{"observed_at":"2026-06-29T06:03:09.033304Z","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":"2026-06-29T06:03:09.033304Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2605.29258","last_updated":"2026-05-28T02:22:41Z","snapshot_observed_at":"2026-08-04T05:19:47.823673Z","submitted_at":"2026-05-28T02:22:41Z","title":"Weak solutions of the generalized Monge-Amp\\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases","version":1},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-06-29T06:03:09.033304Z"},"links":{"citing_paper":"/paper/2605.29258"},"observation_digest":"sha256:0e65ab7a8e3906f99dc6ec0cc2d849c58ffe2c9e628443df3f57510567c0b2b0","observation_id":"75a25763-b9c4-40b2-a1b5-4aa8d6ef28cc","resolution":{"observed_at":"2026-06-29T06:03:09.033304Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2012.07956","last_updated":"2020-12-14T21:48:05Z","snapshot_observed_at":"2026-07-06T10:24:25.886722Z","submitted_at":"2020-12-14T21:48:05Z","title":"Nakai-Moishezon criterions for complex Hessian equations","version":1},"cited_work":{"arxiv_id":"2012.07956","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2012.07956","snapshot_observed_at":"2026-06-30T02:54:11.509944Z","title":"Nakai-Moishezon criterion for complex Hessian equations","venue":null,"work_id":"6162010d-6c36-446d-b3c6-d3c406b3625a","year":2012},"citing_paper":{"arxiv_id":"2605.29258","last_updated":"2026-05-28T02:22:41Z","snapshot_observed_at":"2026-08-04T05:19:47.823673Z","submitted_at":"2026-05-28T02:22:41Z","title":"Weak solutions of the generalized Monge-Amp\\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases","version":1},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-06-29T06:03:09.033304Z"},"links":{"cited_paper":"/paper/2012.07956","citing_paper":"/paper/2605.29258"},"observation_digest":"sha256:317cd99d598e9edcd9088cd41e9436f19cd566f58ac6958f2c4b0589a57995d3","observation_id":"758f3c46-5076-46dd-8c65-54d8b500cb0f","resolution":{"observed_at":"2026-06-29T15:03:32.016929Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T06:03:09.033304Z","title":"Song and B","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2605.29258","last_updated":"2026-05-28T02:22:41Z","snapshot_observed_at":"2026-08-04T05:19:47.823673Z","submitted_at":"2026-05-28T02:22:41Z","title":"Weak solutions of the generalized Monge-Amp\\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases","version":1},"reference_index":43,"source":"arxiv_source","source_observed_at":"2026-06-29T06:03:09.033304Z"},"links":{"citing_paper":"/paper/2605.29258"},"observation_digest":"sha256:82820e18fb1ab140f979021f80fb9fd7b4b8175620d210bc687894d71d496315","observation_id":"7fd6c115-49d8-4a06-8a0b-c640e5f19ac6","resolution":{"observed_at":"2026-06-29T06:03:09.033304Z","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":"2026-06-29T06:03:09.033304Z","title":"Spruck, Geometric aspects of the theory of fully nonlinear elliptic equations","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2605.29258","last_updated":"2026-05-28T02:22:41Z","snapshot_observed_at":"2026-08-04T05:19:47.823673Z","submitted_at":"2026-05-28T02:22:41Z","title":"Weak solutions of the generalized Monge-Amp\\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases","version":1},"reference_index":44,"source":"arxiv_source","source_observed_at":"2026-06-29T06:03:09.033304Z"},"links":{"citing_paper":"/paper/2605.29258"},"observation_digest":"sha256:bb7d2bc43b529c252b923c9f1f59d7605a524e4cd8b7c44b1694e457e4ae6799","observation_id":"6f34f112-4ce8-47f3-a16d-d2b3116606b4","resolution":{"observed_at":"2026-06-29T06:03:09.033304Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1501.04255","last_updated":"2015-01-18T02:26:57Z","snapshot_observed_at":"2026-08-05T02:55:02.101888Z","submitted_at":"2015-01-18T02:26:57Z","title":"Parabolic Flow for Generalized complex Monge-Amp\\`ere type equations","version":1},"cited_work":{"arxiv_id":"1501.04255","doi":null,"metadata_source":"pith","pith_arxiv_id":"1501.04255","snapshot_observed_at":"2026-06-29T15:03:32.027875Z","title":"Parabolic Flow for Generalized complex Monge-Amp\\`ere type equations","venue":"math.DG","work_id":"81a73465-1448-49e5-9e1a-0f158d639e30","year":2015},"citing_paper":{"arxiv_id":"2605.29258","last_updated":"2026-05-28T02:22:41Z","snapshot_observed_at":"2026-08-04T05:19:47.823673Z","submitted_at":"2026-05-28T02:22:41Z","title":"Weak solutions of the generalized Monge-Amp\\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases","version":1},"reference_index":45,"source":"arxiv_source","source_observed_at":"2026-06-29T06:03:09.033304Z"},"links":{"cited_paper":"/paper/1501.04255","citing_paper":"/paper/2605.29258"},"observation_digest":"sha256:62bd45ae12d8d44d1fdf8c652369a3f938d26003a67ad853ec2bb8413137f763","observation_id":"641d2ced-8d1f-46ed-9361-9f5fcd087c10","resolution":{"observed_at":"2026-06-29T15:03:32.029419Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T06:03:09.033304Z","title":"Sun, On a class of fully nonlinear elliptic equations on closed Hermitian manifolds II: L^ estimate, Comm","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2605.29258","last_updated":"2026-05-28T02:22:41Z","snapshot_observed_at":"2026-08-04T05:19:47.823673Z","submitted_at":"2026-05-28T02:22:41Z","title":"Weak solutions of the generalized Monge-Amp\\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases","version":1},"reference_index":46,"source":"arxiv_source","source_observed_at":"2026-06-29T06:03:09.033304Z"},"links":{"citing_paper":"/paper/2605.29258"},"observation_digest":"sha256:34c5e9cb5bf6ce891210f16130d701f435fec4a599839a032f4063c02acfc1cf","observation_id":"0ebdd77c-c96a-4d96-96f5-a31b8c7d9620","resolution":{"observed_at":"2026-06-29T06:03:09.033304Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2305.02576","last_updated":"2023-05-04T06:19:36Z","snapshot_observed_at":"2026-07-06T15:23:06.337835Z","submitted_at":"2023-05-04T06:19:36Z","title":"The boundary case for complex Monge-Amp\\`ere type equations","version":1},"cited_work":{"arxiv_id":"2305.02576","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2305.02576","snapshot_observed_at":"2026-06-29T15:03:32.027737Z","title":"Sun, The boundary case for complex Monge-Ampère type equations, preprint, available at arXiv:2305.02576v1","venue":null,"work_id":"5588bbc4-280a-4e2e-ad0a-0f118c4d176b","year":null},"citing_paper":{"arxiv_id":"2605.29258","last_updated":"2026-05-28T02:22:41Z","snapshot_observed_at":"2026-08-04T05:19:47.823673Z","submitted_at":"2026-05-28T02:22:41Z","title":"Weak solutions of the generalized Monge-Amp\\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases","version":1},"reference_index":47,"source":"arxiv_source","source_observed_at":"2026-06-29T06:03:09.033304Z"},"links":{"cited_paper":"/paper/2305.02576","citing_paper":"/paper/2605.29258"},"observation_digest":"sha256:4c499625cd19544026973af0d4218301328a51af71e6079bb16c08380c400776","observation_id":"eec009c6-aa1a-4de4-9b6d-0040dfccc8e9","resolution":{"observed_at":"2026-06-29T15:03:32.029704Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2306.10550","last_updated":"2023-06-18T13:08:07Z","snapshot_observed_at":"2026-08-05T09:07:49.996761Z","submitted_at":"2023-06-18T13:08:07Z","title":"The boundary case of the $J$-flow","version":1},"cited_work":{"arxiv_id":"2306.10550","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2306.10550","snapshot_observed_at":"2026-06-29T15:03:32.005375Z","title":"Sun, The boundary case for the J -flow, preprint, available at arXiv:2306.10550v1","venue":null,"work_id":"5800fcaa-63a7-4469-8e99-6547e29964bc","year":null},"citing_paper":{"arxiv_id":"2605.29258","last_updated":"2026-05-28T02:22:41Z","snapshot_observed_at":"2026-08-04T05:19:47.823673Z","submitted_at":"2026-05-28T02:22:41Z","title":"Weak solutions of the generalized Monge-Amp\\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases","version":1},"reference_index":48,"source":"arxiv_source","source_observed_at":"2026-06-29T06:03:09.033304Z"},"links":{"cited_paper":"/paper/2306.10550","citing_paper":"/paper/2605.29258"},"observation_digest":"sha256:6cedae7036835b9229ffe497bee3b5663e0b7284c484d6d8dcceafd890e9bbed","observation_id":"dcd101ca-9adf-44f0-b071-a74fee82d103","resolution":{"observed_at":"2026-06-29T15:03:32.007070Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T06:03:09.033304Z","title":"Sz \\'e kelyhidi, Fully non-linear elliptic equations on compact Hermitian manifolds, J","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2605.29258","last_updated":"2026-05-28T02:22:41Z","snapshot_observed_at":"2026-08-04T05:19:47.823673Z","submitted_at":"2026-05-28T02:22:41Z","title":"Weak solutions of the generalized Monge-Amp\\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases","version":1},"reference_index":49,"source":"arxiv_source","source_observed_at":"2026-06-29T06:03:09.033304Z"},"links":{"citing_paper":"/paper/2605.29258"},"observation_digest":"sha256:beecc0fbcea743a15c976cc853cb48d0b6374d82471f31052bc96f9c8d3cd08e","observation_id":"7ec42d15-eafe-4e8b-a668-041d0c07d95a","resolution":{"observed_at":"2026-06-29T06:03:09.033304Z","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":"2026-06-29T06:03:09.033304Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2605.29258","last_updated":"2026-05-28T02:22:41Z","snapshot_observed_at":"2026-08-04T05:19:47.823673Z","submitted_at":"2026-05-28T02:22:41Z","title":"Weak solutions of the generalized Monge-Amp\\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases","version":1},"reference_index":50,"source":"arxiv_source","source_observed_at":"2026-06-29T06:03:09.033304Z"},"links":{"citing_paper":"/paper/2605.29258"},"observation_digest":"sha256:92ba8a9747446eb8b098303aad844887f9af09cadf57ecfd11a0e5281ab9caf3","observation_id":"3186522e-bef6-4bc8-9b91-d32fc9d418f2","resolution":{"observed_at":"2026-06-29T06:03:09.033304Z","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":"2026-06-29T06:03:09.033304Z","title":"Yau, On the Ricci curvature of a compact Kähler manifold and the complex Monge-Ampère equation","venue":null,"work_id":null,"year":1978},"citing_paper":{"arxiv_id":"2605.29258","last_updated":"2026-05-28T02:22:41Z","snapshot_observed_at":"2026-08-04T05:19:47.823673Z","submitted_at":"2026-05-28T02:22:41Z","title":"Weak solutions of the generalized Monge-Amp\\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases","version":1},"reference_index":51,"source":"arxiv_source","source_observed_at":"2026-06-29T06:03:09.033304Z"},"links":{"citing_paper":"/paper/2605.29258"},"observation_digest":"sha256:e5659fdad2023f747ac473a1086c12cd794a1e6a9a203526d1f593403780d03c","observation_id":"f8e4ae54-dcb1-4e85-987a-b6f39d96dab4","resolution":{"observed_at":"2026-06-29T06:03:09.033304Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2605.29258","last_updated":"2026-05-28T02:22:41Z","latest_version":1,"primary_category":"math.DG","snapshot_observed_at":"2026-08-04T05:19:47.823673Z","submitted_at":"2026-05-28T02:22:41Z","title":"Weak solutions of the generalized Monge-Amp\\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases"},"reference_resolution":{"displayed":51,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":41,"verified_exact":10,"verified_fuzzy":0},"total_outbound_references":51},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 51 of 51 outbound references and 1 inbound Pith citation observation for arXiv:2605.29258."}