{"as_of":"2026-08-08T15:44:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:5648b366d132b11d834445fa91a6c5716d80dbc59b5d6f59cd5a73057c4d2f82","coverage":[{"denominator":34,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":34,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-11T11:50:26.030339Z","state":"measured"},{"denominator":35,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":35,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+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":"2026-08-01T18:02:25.549029Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2607.08622","last_updated":"2026-07-09T15:54:58Z","snapshot_observed_at":"2026-08-06T22:01:52.516064Z","submitted_at":"2026-07-09T15:54:58Z","title":"Deformed Hermitian-Yang-Mills equation on the manifold of full flags","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2607.08622","snapshot_observed_at":"2026-08-01T18:02:25.549029Z","title":"Charbonneau, G","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.17459","last_updated":"2026-07-23T14:30:52Z","snapshot_observed_at":"2026-08-08T08:46:08.958918Z","submitted_at":"2026-07-20T01:18:11Z","title":"The deformed Vortex equations and equivariant stability conditions","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-01T18:02:25.549029Z"},"links":{"cited_paper":"/paper/2607.08622","citing_paper":"/paper/2607.17459"},"observation_digest":"sha256:623615803f1918e35129c53470102f2f0bfeb2317ad60ed01b2cead61ad119aa","observation_id":"42c480c8-b3d0-44b8-9317-631f707e94ab","resolution":{"observed_at":"2026-08-01T18:02:25.549029Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2607.08622/citation-record","integrity":"/paper/2607.08622/integrity","json":"/paper/2607.08622/citation-record.json","paper":"/paper/2607.08622"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T09:37:01.616891Z","title":"Twistor geometry of the flag manifold","venue":null,"work_id":"0fa8bb8d-4046-4464-a341-8eebf15e69fa","year":2023},"citing_paper":{"arxiv_id":"2607.08622","last_updated":"2026-07-09T15:54:58Z","snapshot_observed_at":"2026-08-06T22:01:52.516064Z","submitted_at":"2026-07-09T15:54:58Z","title":"Deformed Hermitian-Yang-Mills equation on the manifold of full flags","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-07-10T04:37:26.850590Z"},"links":{"citing_paper":"/paper/2607.08622"},"observation_digest":"sha256:6f63573bf5b3053cf7f9199a6b7b590077bf6c397d649038db5a149519e2096d","observation_id":"c8c55eb3-9eb7-4f6c-a701-1d94a31491ae","resolution":{"observed_at":"2026-07-10T09:37:01.618245Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2112.11100","last_updated":"2022-09-15T07:06:13Z","snapshot_observed_at":"2026-07-06T12:20:58.831540Z","submitted_at":"2021-12-21T11:04:54Z","title":"Twistor geometry of the Flag manifold","version":2},"cited_work":{"arxiv_id":"2112.11100","doi":null,"metadata_source":"pith","pith_arxiv_id":"2112.11100","snapshot_observed_at":"2026-07-10T04:46:46.433593Z","title":"Twistor geometry of the Flag manifold","venue":"math.DG","work_id":"cd33dec2-95ac-4f2d-bccb-cad96d257ac7","year":2021},"citing_paper":{"arxiv_id":"2607.08622","last_updated":"2026-07-09T15:54:58Z","snapshot_observed_at":"2026-08-06T22:01:52.516064Z","submitted_at":"2026-07-09T15:54:58Z","title":"Deformed Hermitian-Yang-Mills equation on the manifold of full flags","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-07-11T11:50:26.030339Z"},"links":{"cited_paper":"/paper/2112.11100","citing_paper":"/paper/2607.08622"},"observation_digest":"sha256:d25905ecca417eba2b13dbf50d4061ccba5828251692243af51a33330ca191ab","observation_id":"bbb499b9-fc75-48bd-85db-2a68b468f73f","resolution":{"observed_at":"2026-07-10T04:46:46.434860Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"math/0508428","last_updated":"2005-09-15T09:34:57Z","snapshot_observed_at":"2026-07-07T05:50:47.152398Z","submitted_at":"2005-08-23T14:51:53Z","title":"Remarks on the geometry of almost complex 6-manifolds","version":2},"cited_work":{"arxiv_id":"math/0508428","doi":"10.4310/cag.2004.v12.n4.a4","metadata_source":"pith","pith_arxiv_id":"math/0508428","snapshot_observed_at":"2026-08-05T02:49:54.815029Z","title":"Remarks on the geometry of almost complex 6-manifolds","venue":"math.DG","work_id":"9a19c8e4-ead1-4ad2-aeea-35f33fec8450","year":2005},"citing_paper":{"arxiv_id":"2607.08622","last_updated":"2026-07-09T15:54:58Z","snapshot_observed_at":"2026-08-06T22:01:52.516064Z","submitted_at":"2026-07-09T15:54:58Z","title":"Deformed Hermitian-Yang-Mills equation on the manifold of full flags","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-07-11T11:50:26.030339Z"},"links":{"cited_paper":"/paper/math/0508428","citing_paper":"/paper/2607.08622"},"observation_digest":"sha256:04d14e932f7947a1c6630131975dda8d68dfd99da21bbdfe70959d39fb9575a8","observation_id":"b16b15d1-3727-4e8c-9b80-cb88a2f9c3a0","resolution":{"observed_at":"2026-07-10T04:46:46.430303Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-07-17T22:21:15.954066+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-17T22:21:15.954066+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00222-","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T04:46:46.425917Z","title":"On the nature of the generating series of walks in the quarter plane","venue":null,"work_id":"3cf9a8c0-26f3-4ce4-9213-fa4a1ce08a38","year":2021},"citing_paper":{"arxiv_id":"2607.08622","last_updated":"2026-07-09T15:54:58Z","snapshot_observed_at":"2026-08-06T22:01:52.516064Z","submitted_at":"2026-07-09T15:54:58Z","title":"Deformed Hermitian-Yang-Mills equation on the manifold of full flags","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-07-10T04:37:26.850590Z"},"links":{"citing_paper":"/paper/2607.08622"},"observation_digest":"sha256:c99e7c5d0127e50a4b017a0bdb79d758a7af766f201ac3b60b131a3bc961a2ae","observation_id":"33695534-f60c-4261-a506-2e376e38d49f","resolution":{"observed_at":"2026-07-10T04:46:46.427759Z","resolver_source":"doi_truncated","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.4310/cjm.2020.v8.n2.a4","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Cambridge Journal of Mathematics","work_id":"fd5ec00c-d1b7-4e59-b354-c1a93c1e1693","year":2020},"citing_paper":{"arxiv_id":"2607.08622","last_updated":"2026-07-09T15:54:58Z","snapshot_observed_at":"2026-08-06T22:01:52.516064Z","submitted_at":"2026-07-09T15:54:58Z","title":"Deformed Hermitian-Yang-Mills equation on the manifold of full flags","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-07-10T04:37:26.850590Z"},"links":{"citing_paper":"/paper/2607.08622"},"observation_digest":"sha256:41ccfbb6253751a16d13a457d464d200fad79908fb70f0f214523bfff3b340e0","observation_id":"1f7aa192-18dd-4601-a063-0158b52c4d8a","resolution":{"observed_at":"2026-07-10T04:46:46.432077Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-07-17T22:21:16.345878+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-17T22:21:16.345878+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2206.00387","last_updated":"2022-06-01T10:39:18Z","snapshot_observed_at":"2026-08-05T12:25:39.056301Z","submitted_at":"2022-06-01T10:39:18Z","title":"Hypercritical deformed Hermitian-Yang-Mills equation revisited","version":1},"cited_work":{"arxiv_id":"2206.00387","doi":null,"metadata_source":"pith","pith_arxiv_id":"2206.00387","snapshot_observed_at":"2026-07-10T04:46:46.673883Z","title":"Hypercritical deformed Hermitian-Yang-Mills equation revisited","venue":"math.DG","work_id":"2caeb8b5-e85c-4344-a54d-c2daf7e77ba4","year":2022},"citing_paper":{"arxiv_id":"2607.08622","last_updated":"2026-07-09T15:54:58Z","snapshot_observed_at":"2026-08-06T22:01:52.516064Z","submitted_at":"2026-07-09T15:54:58Z","title":"Deformed Hermitian-Yang-Mills equation on the manifold of full flags","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-07-10T04:37:26.850590Z"},"links":{"cited_paper":"/paper/2206.00387","citing_paper":"/paper/2607.08622"},"observation_digest":"sha256:f6cc53bef6b4b54012dd75febe2c34325df510f751e71f197d6a37806f0b0327","observation_id":"fcc002de-5d5c-4252-995c-091013255bca","resolution":{"observed_at":"2026-07-10T04:46:46.675278Z","resolver_source":"local_arxiv","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2306.05620","last_updated":"2024-09-20T19:23:30Z","snapshot_observed_at":"2026-08-07T02:44:37.075341Z","submitted_at":"2023-06-09T01:49:21Z","title":"Stability for Line Bundles and Deformed Hermitian-Yang-Mills Equation on Some Elliptic Surfaces","version":2},"cited_work":{"arxiv_id":"2306.05620","doi":"10.4310/jdg/1712344220","metadata_source":"pith","pith_arxiv_id":"2306.05620","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Collins, J","venue":"math.AG","work_id":"62d0340b-11d5-4d2b-857c-7ff2a38cb2a4","year":2023},"citing_paper":{"arxiv_id":"2607.08622","last_updated":"2026-07-09T15:54:58Z","snapshot_observed_at":"2026-08-06T22:01:52.516064Z","submitted_at":"2026-07-09T15:54:58Z","title":"Deformed Hermitian-Yang-Mills equation on the manifold of full flags","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-07-11T11:50:26.030339Z"},"links":{"cited_paper":"/paper/2306.05620","citing_paper":"/paper/2607.08622"},"observation_digest":"sha256:31ce9beee5c077629edef42778de7961e69a55b601ed7175796bc559a606e6b7","observation_id":"0c4162b7-aac7-442d-9f01-2c881db42534","resolution":{"observed_at":"2026-07-10T04:46:46.437452Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-07-17T22:21:16.800187+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-17T22:21:16.800187+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00209-","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T04:46:46.421441Z","title":"Nishihara,L p-Lq estimates of solutions to the damped wave equation in 3-dimensional space and their application, Math","venue":null,"work_id":"d0472489-90c7-4127-8cc3-af5304de4089","year":2017},"citing_paper":{"arxiv_id":"2607.08622","last_updated":"2026-07-09T15:54:58Z","snapshot_observed_at":"2026-08-06T22:01:52.516064Z","submitted_at":"2026-07-09T15:54:58Z","title":"Deformed Hermitian-Yang-Mills equation on the manifold of full flags","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-07-10T04:37:26.850590Z"},"links":{"citing_paper":"/paper/2607.08622"},"observation_digest":"sha256:f608acf4a438016cae875cab723089ebbc13c50e4e64cfff8e327820216453af","observation_id":"4b9daa51-031c-4aff-bf16-1bf0b54d96bc","resolution":{"observed_at":"2026-07-10T04:46:46.422777Z","resolver_source":"doi_truncated","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1712.00893","last_updated":"2017-12-04T03:41:39Z","snapshot_observed_at":"2026-08-07T17:17:55.927107Z","submitted_at":"2017-12-04T03:41:39Z","title":"The deformed Hermitian-Yang-Mills equation in geometry and physics","version":1},"cited_work":{"arxiv_id":"1712.00893","doi":null,"metadata_source":"pith","pith_arxiv_id":"1712.00893","snapshot_observed_at":"2026-07-10T04:46:46.670481Z","title":"The deformed Hermitian-Yang-Mills equation in geometry and physics","venue":"math.DG","work_id":"556ac707-f311-4bd2-b556-95e65f1ad58f","year":2017},"citing_paper":{"arxiv_id":"2607.08622","last_updated":"2026-07-09T15:54:58Z","snapshot_observed_at":"2026-08-06T22:01:52.516064Z","submitted_at":"2026-07-09T15:54:58Z","title":"Deformed Hermitian-Yang-Mills equation on the manifold of full flags","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-07-10T04:37:26.850590Z"},"links":{"cited_paper":"/paper/1712.00893","citing_paper":"/paper/2607.08622"},"observation_digest":"sha256:f4739d42a2071001ac2715a5d9e22bb712d33d1434f15c77151fd57f72722f40","observation_id":"2c448b10-14c0-4dd2-b909-717849d43361","resolution":{"observed_at":"2026-07-10T04:46:46.672193Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2012.10426","last_updated":"2024-01-22T12:40:51Z","snapshot_observed_at":"2026-08-08T10:22:41.927839Z","submitted_at":"2020-12-18T18:32:19Z","title":"$Z$-critical connections and Bridgeland stability conditions","version":5},"cited_work":{"arxiv_id":"2012.10426","doi":"10.1007/s40818-021-00100-7","metadata_source":"pith","pith_arxiv_id":"2012.10426","snapshot_observed_at":"2026-08-05T02:49:54.815029Z","title":"$Z$-critical connections and Bridgeland stability conditions","venue":"math.DG","work_id":"0c0152cd-882c-49c6-b04a-fc7705edc15d","year":2020},"citing_paper":{"arxiv_id":"2607.08622","last_updated":"2026-07-09T15:54:58Z","snapshot_observed_at":"2026-08-06T22:01:52.516064Z","submitted_at":"2026-07-09T15:54:58Z","title":"Deformed Hermitian-Yang-Mills equation on the manifold of full flags","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-07-11T11:50:26.030339Z"},"links":{"cited_paper":"/paper/2012.10426","citing_paper":"/paper/2607.08622"},"observation_digest":"sha256:79d9d6451fa569defd04ddee8490d8cfbb4c0b6bc435ac6f21e585201af839a5","observation_id":"94f7175d-f4d8-42c4-97a8-f6de00e2fe4e","resolution":{"observed_at":"2026-07-10T04:46:46.418324Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-07-17T22:21:17.282735+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-17T22:21:17.282735+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T09:37:01.612062Z","title":"Minimal slopes and bubbling for complex Hessian equations","venue":null,"work_id":"ac106597-8819-4524-8601-4dc681d75db7","year":2026},"citing_paper":{"arxiv_id":"2607.08622","last_updated":"2026-07-09T15:54:58Z","snapshot_observed_at":"2026-08-06T22:01:52.516064Z","submitted_at":"2026-07-09T15:54:58Z","title":"Deformed Hermitian-Yang-Mills equation on the manifold of full flags","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-07-10T04:37:26.850590Z"},"links":{"citing_paper":"/paper/2607.08622"},"observation_digest":"sha256:b91a6b661cf06652cbffe09101c1afe7575fa2e49c9465ef60b0228c768ba7da","observation_id":"db10fb12-448e-445a-9228-a168b1bc2dce","resolution":{"observed_at":"2026-07-10T09:37:01.613168Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2026.110865","doi":"10.1016/j.aim.2026.110865","metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Moment maps and diffeomorphisms","venue":"Advances in Mathematics","work_id":"18e7a4cb-00fc-4753-9d51-95fe7a56a416","year":2026},"citing_paper":{"arxiv_id":"2607.08622","last_updated":"2026-07-09T15:54:58Z","snapshot_observed_at":"2026-08-06T22:01:52.516064Z","submitted_at":"2026-07-09T15:54:58Z","title":"Deformed Hermitian-Yang-Mills equation on the manifold of full flags","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-07-10T04:37:26.850590Z"},"links":{"citing_paper":"/paper/2607.08622"},"observation_digest":"sha256:089d70b2d1661e9aa02b4988af3710beddb83daa504f2bc217f2bea2a7acdef3","observation_id":"6c7e8e5f-eafb-4752-90f4-e35deb0bfeeb","resolution":{"observed_at":"2026-07-10T04:46:46.415700Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-07-17T22:21:17.714732+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-17T22:21:17.714732+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T09:37:01.613685Z","title":"1999, pp","venue":null,"work_id":"28401706-88a1-4ea4-8269-1ccb16dc1e9e","year":1999},"citing_paper":{"arxiv_id":"2607.08622","last_updated":"2026-07-09T15:54:58Z","snapshot_observed_at":"2026-08-06T22:01:52.516064Z","submitted_at":"2026-07-09T15:54:58Z","title":"Deformed Hermitian-Yang-Mills equation on the manifold of full flags","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-07-10T04:37:26.850590Z"},"links":{"citing_paper":"/paper/2607.08622"},"observation_digest":"sha256:bdb0fe5a771df42ce1081a872a6d687be1572a64c43a1390c14d0289148f76f5","observation_id":"959a6707-57ea-4cc7-ae2c-dddf67467ed0","resolution":{"observed_at":"2026-07-10T09:37:01.614702Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2006.01530","last_updated":"2021-09-18T03:10:09Z","snapshot_observed_at":"2026-08-07T20:03:17.180343Z","submitted_at":"2020-06-02T11:32:16Z","title":"A numerical criterion for generalised Monge-Ampere equations on projective manifolds","version":5},"cited_work":{"arxiv_id":"2006.01530","doi":"10.1007/s00039-021-00577-1","metadata_source":"pith","pith_arxiv_id":"2006.01530","snapshot_observed_at":"2026-08-05T02:49:54.815029Z","title":"A numerical criterion for generalised Monge-Ampere equations on projective manifolds","venue":"math.DG","work_id":"3b0045e5-acee-462a-88b9-332f37a0e15f","year":2020},"citing_paper":{"arxiv_id":"2607.08622","last_updated":"2026-07-09T15:54:58Z","snapshot_observed_at":"2026-08-06T22:01:52.516064Z","submitted_at":"2026-07-09T15:54:58Z","title":"Deformed Hermitian-Yang-Mills equation on the manifold of full flags","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-07-11T11:50:26.030339Z"},"links":{"cited_paper":"/paper/2006.01530","citing_paper":"/paper/2607.08622"},"observation_digest":"sha256:6352dd77a4497e184695d7e2d971644eda2fdc9a65e06cb06fa021beb6c53026","observation_id":"1628ec73-1988-454f-bd82-dc5f66726915","resolution":{"observed_at":"2026-07-10T04:46:46.425265Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-07-17T22:21:18.251283+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-17T22:21:18.251283+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2309.15451","last_updated":"2023-09-27T07:37:05Z","snapshot_observed_at":"2026-08-02T18:18:37.914325Z","submitted_at":"2023-09-27T07:37:05Z","title":"On a fully nonlinear elliptic equation with differential forms","version":1},"cited_work":{"arxiv_id":"2309.15451","doi":"10.1016/j.aim.2024","metadata_source":"pith","pith_arxiv_id":"2309.15451","snapshot_observed_at":"2026-07-11T11:50:26.030339Z","title":"On a fully nonlinear elliptic equation with differential forms","venue":"math.AP","work_id":"c17627ea-4953-442d-8473-a89c9dc84960","year":2023},"citing_paper":{"arxiv_id":"2607.08622","last_updated":"2026-07-09T15:54:58Z","snapshot_observed_at":"2026-08-06T22:01:52.516064Z","submitted_at":"2026-07-09T15:54:58Z","title":"Deformed Hermitian-Yang-Mills equation on the manifold of full flags","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-07-11T11:50:26.030339Z"},"links":{"cited_paper":"/paper/2309.15451","citing_paper":"/paper/2607.08622"},"observation_digest":"sha256:e1f4bd6ced183b6473fed405bfebc13f70d7efa52a637d5b6a85391d662b987c","observation_id":"cbc281c6-f814-4cce-b634-91bf7f77ca0e","resolution":{"observed_at":"2026-07-10T04:46:46.420942Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-07-17T22:21:18.609118+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-17T22:21:18.609118+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2311.11794","last_updated":"2024-06-10T22:55:08Z","snapshot_observed_at":"2026-08-04T00:56:49.821870Z","submitted_at":"2023-11-20T14:26:04Z","title":"Examples of deformed Spin(7)-instantons/Donaldson-Thomas connections","version":2},"cited_work":{"arxiv_id":"2311.11794","doi":null,"metadata_source":"pith","pith_arxiv_id":"2311.11794","snapshot_observed_at":"2026-07-10T04:46:46.673930Z","title":"Examples of deformed Spin(7)-instantons/Donaldson-Thomas connections","venue":"math.DG","work_id":"3624360b-aefa-4137-81d7-b1936222267c","year":2023},"citing_paper":{"arxiv_id":"2607.08622","last_updated":"2026-07-09T15:54:58Z","snapshot_observed_at":"2026-08-06T22:01:52.516064Z","submitted_at":"2026-07-09T15:54:58Z","title":"Deformed Hermitian-Yang-Mills equation on the manifold of full flags","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-07-10T04:37:26.850590Z"},"links":{"cited_paper":"/paper/2311.11794","citing_paper":"/paper/2607.08622"},"observation_digest":"sha256:85dac32af5a754db506af13b2dc151c0c13d5189f2dc9732278c3c16b132c259","observation_id":"57ef24db-ba0e-4adf-93ac-f1c37a7c6e9b","resolution":{"observed_at":"2026-07-10T04:46:46.675509Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T01:07:42.960769Z","title":"Masset, R","venue":null,"work_id":"238df2e4-a3e5-46f3-860e-3ae2b0094b97","year":2019},"citing_paper":{"arxiv_id":"2607.08622","last_updated":"2026-07-09T15:54:58Z","snapshot_observed_at":"2026-08-06T22:01:52.516064Z","submitted_at":"2026-07-09T15:54:58Z","title":"Deformed Hermitian-Yang-Mills equation on the manifold of full flags","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-07-10T04:37:26.850590Z"},"links":{"citing_paper":"/paper/2607.08622"},"observation_digest":"sha256:7adc25b5d0350b180c42de473005f7f1fac667cb2a56a55a63d37fdb5ab9d926","observation_id":"c0d5858c-468b-4a61-aa65-989eadc51c8d","resolution":{"observed_at":"2026-07-10T04:46:46.410651Z","resolver_source":"doi_truncated","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1909.08871","last_updated":"2019-09-19T09:04:18Z","snapshot_observed_at":"2026-08-02T18:18:40.457039Z","submitted_at":"2019-09-19T09:04:18Z","title":"A rigid theorem for deformed Hermitian-Yang-Mills equation","version":1},"cited_work":{"arxiv_id":"1909.08871","doi":"10.1007/s00526-020-01880-9","metadata_source":"pith","pith_arxiv_id":"1909.08871","snapshot_observed_at":"2026-08-05T02:49:54.815029Z","title":"A rigid theorem for deformed Hermitian-Yang-Mills equation","venue":"math.DG","work_id":"3c1dee36-8304-4c51-8f9d-728b12184028","year":2019},"citing_paper":{"arxiv_id":"2607.08622","last_updated":"2026-07-09T15:54:58Z","snapshot_observed_at":"2026-08-06T22:01:52.516064Z","submitted_at":"2026-07-09T15:54:58Z","title":"Deformed Hermitian-Yang-Mills equation on the manifold of full flags","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-07-11T11:50:26.030339Z"},"links":{"cited_paper":"/paper/1909.08871","citing_paper":"/paper/2607.08622"},"observation_digest":"sha256:5c6b86154fbebe508f56ff9625da8ff5d87cddcc14533050b9deed491323008e","observation_id":"ba859d7a-b0bd-493e-a859-4898ffc20eaf","resolution":{"observed_at":"2026-07-10T04:46:46.430005Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-07-17T22:21:19.076771+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-17T22:21:19.076771+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T09:37:01.615193Z","title":"A special Lagrangian type equation for holomorphic line bundles","venue":null,"work_id":"00b8f58a-34b9-4cb9-9198-83e9d3e29c77","year":2017},"citing_paper":{"arxiv_id":"2607.08622","last_updated":"2026-07-09T15:54:58Z","snapshot_observed_at":"2026-08-06T22:01:52.516064Z","submitted_at":"2026-07-09T15:54:58Z","title":"Deformed Hermitian-Yang-Mills equation on the manifold of full flags","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-07-10T04:37:26.850590Z"},"links":{"citing_paper":"/paper/2607.08622"},"observation_digest":"sha256:d25879064795b1b830e72e1616597fdcf40cb3d92f5c96f9c9350bea724724ca","observation_id":"85dce566-6383-4ada-8315-3fa87771dabe","resolution":{"observed_at":"2026-07-10T09:37:01.616340Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T09:37:01.610419Z","title":"Z-critical equations for holomorphic vector bundles on K ¨ahler surfaces","venue":null,"work_id":"924e68ad-7059-43c6-9221-222679e3c19b","year":2026},"citing_paper":{"arxiv_id":"2607.08622","last_updated":"2026-07-09T15:54:58Z","snapshot_observed_at":"2026-08-06T22:01:52.516064Z","submitted_at":"2026-07-09T15:54:58Z","title":"Deformed Hermitian-Yang-Mills equation on the manifold of full flags","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-07-10T04:37:26.850590Z"},"links":{"citing_paper":"/paper/2607.08622"},"observation_digest":"sha256:626a425ef6ca5c7177ff999ab6ecef7da955a775440180dce30049f26e2771f4","observation_id":"82497de4-7b54-4266-bd1c-c47cb1e1cb3c","resolution":{"observed_at":"2026-07-10T09:37:01.611568Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2405.03312","last_updated":"2025-05-01T15:30:29Z","snapshot_observed_at":"2026-08-07T00:34:14.773781Z","submitted_at":"2024-05-06T09:40:41Z","title":"$Z$-critical equations for holomorphic vector bundles on K\\\"ahler surfaces","version":3},"cited_work":{"arxiv_id":"2405.03312","doi":"10.1007/s00208-026-03441-5","metadata_source":"pith","pith_arxiv_id":"2405.03312","snapshot_observed_at":"2026-08-05T02:49:54.815029Z","title":"$Z$-critical equations for holomorphic vector bundles on K\\\"ahler surfaces","venue":"math.DG","work_id":"bd4ca6d0-9a76-4308-9a33-725feee6403f","year":2024},"citing_paper":{"arxiv_id":"2607.08622","last_updated":"2026-07-09T15:54:58Z","snapshot_observed_at":"2026-08-06T22:01:52.516064Z","submitted_at":"2026-07-09T15:54:58Z","title":"Deformed Hermitian-Yang-Mills equation on the manifold of full flags","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-07-11T11:50:26.030339Z"},"links":{"cited_paper":"/paper/2405.03312","citing_paper":"/paper/2607.08622"},"observation_digest":"sha256:85ec686aad252827c076c03fbfa055ba385e423cb4bce8d3f8a2bc21e8a90bb9","observation_id":"cc9dca73-b3c9-438f-b4f3-1431104cee97","resolution":{"observed_at":"2026-07-10T04:46:46.413253Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-07-17T22:21:19.463837+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-17T22:21:19.463837+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.4310/mrl","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"02251 [math.AG]","venue":"Mathematical Research Letters","work_id":"55a2be9e-312b-49e6-a06a-e41c17d808c8","year":2023},"citing_paper":{"arxiv_id":"2607.08622","last_updated":"2026-07-09T15:54:58Z","snapshot_observed_at":"2026-08-06T22:01:52.516064Z","submitted_at":"2026-07-09T15:54:58Z","title":"Deformed Hermitian-Yang-Mills equation on the manifold of full flags","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-07-10T04:37:26.850590Z"},"links":{"citing_paper":"/paper/2607.08622"},"observation_digest":"sha256:13936d320052ee244f54fc1f371791f0b0e52b46e2427b83c1562a386da71d27","observation_id":"3e28e12a-aeb4-4e15-9c69-430c25acf200","resolution":{"observed_at":"2026-07-10T04:46:46.405448Z","resolver_source":"doi_truncated","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2302.04966","last_updated":"2023-02-09T22:51:47Z","snapshot_observed_at":"2026-08-04T04:57:04.578306Z","submitted_at":"2023-02-09T22:51:47Z","title":"Stability conditions and canonical metrics","version":1},"cited_work":{"arxiv_id":"2302.04966","doi":null,"metadata_source":"pith","pith_arxiv_id":"2302.04966","snapshot_observed_at":"2026-07-10T04:46:46.664511Z","title":"Stability conditions and canonical metrics","venue":"math.DG","work_id":"57f9c88e-baa7-4f48-9c24-c4881d86c9c1","year":2023},"citing_paper":{"arxiv_id":"2607.08622","last_updated":"2026-07-09T15:54:58Z","snapshot_observed_at":"2026-08-06T22:01:52.516064Z","submitted_at":"2026-07-09T15:54:58Z","title":"Deformed Hermitian-Yang-Mills equation on the manifold of full flags","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-07-10T04:37:26.850590Z"},"links":{"cited_paper":"/paper/2302.04966","citing_paper":"/paper/2607.08622"},"observation_digest":"sha256:232ef4cac5d37d2fe4dbea1eaf1b01f560ebcf6c8792aeb748632d70578531a4","observation_id":"932bef61-38c6-4777-a74f-a3d121624843","resolution":{"observed_at":"2026-07-10T04:46:46.666009Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1088/1126-","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T04:46:46.399667Z","title":"Punzi, F","venue":null,"work_id":"c6365fd6-a2c2-4151-a37f-30de83f2f0e5","year":2000},"citing_paper":{"arxiv_id":"2607.08622","last_updated":"2026-07-09T15:54:58Z","snapshot_observed_at":"2026-08-06T22:01:52.516064Z","submitted_at":"2026-07-09T15:54:58Z","title":"Deformed Hermitian-Yang-Mills equation on the manifold of full flags","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-07-10T04:37:26.850590Z"},"links":{"citing_paper":"/paper/2607.08622"},"observation_digest":"sha256:15a962cbaa368a343cee4339875bb25fe65ff0365f530c78f53b469eb1309d62","observation_id":"5f57d961-f723-407f-ae7e-2840e3d49303","resolution":{"observed_at":"2026-07-10T04:46:46.400849Z","resolver_source":"doi_truncated","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00209-026-03981-1","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"[Mur26b] Rei Murakami","venue":"Mathematische Zeitschrift","work_id":"46752670-73c9-4810-9073-d0cf17cccf8e","year":2026},"citing_paper":{"arxiv_id":"2607.08622","last_updated":"2026-07-09T15:54:58Z","snapshot_observed_at":"2026-08-06T22:01:52.516064Z","submitted_at":"2026-07-09T15:54:58Z","title":"Deformed Hermitian-Yang-Mills equation on the manifold of full flags","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-07-10T04:37:26.850590Z"},"links":{"citing_paper":"/paper/2607.08622"},"observation_digest":"sha256:b515b3961f82a7100c3cfc4056209631ed32618bedb2517e80d6017b12753b5f","observation_id":"8204e2e1-62b3-4ce0-ad9d-d831a6a0478c","resolution":{"observed_at":"2026-07-10T04:46:46.392440Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-07-17T22:21:19.913536+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-17T22:21:19.913536+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s10455-026-10032-9","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Annals of Global Analysis and Geometry","work_id":"b6d9ea38-1d48-4f1a-a1a5-c52e13c10382","year":null},"citing_paper":{"arxiv_id":"2607.08622","last_updated":"2026-07-09T15:54:58Z","snapshot_observed_at":"2026-08-06T22:01:52.516064Z","submitted_at":"2026-07-09T15:54:58Z","title":"Deformed Hermitian-Yang-Mills equation on the manifold of full flags","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-07-10T04:37:26.850590Z"},"links":{"citing_paper":"/paper/2607.08622"},"observation_digest":"sha256:abc2e2dceb107ea7ddb48aff5c51d78d9803998976ac768e2835e0e1c3f2fa5c","observation_id":"584a50d2-a5d1-4b03-8978-48f8c2c35291","resolution":{"observed_at":"2026-07-10T04:46:46.397023Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-07-17T22:21:20.44853+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-17T22:21:20.44853+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"6933.2018","doi":"10.1080/17476933.2018.1489800","metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Some useful facts on invariant connections","venue":"Complex Variables and Elliptic Equations","work_id":"84e01adb-33e9-46ad-962a-32e62410ed04","year":2022},"citing_paper":{"arxiv_id":"2607.08622","last_updated":"2026-07-09T15:54:58Z","snapshot_observed_at":"2026-08-06T22:01:52.516064Z","submitted_at":"2026-07-09T15:54:58Z","title":"Deformed Hermitian-Yang-Mills equation on the manifold of full flags","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-07-10T04:37:26.850590Z"},"links":{"citing_paper":"/paper/2607.08622"},"observation_digest":"sha256:8b2bff3a2140a2aeb451f272dd2effd58f83359f01d060cbffc8c882dfa0fbcd","observation_id":"beb1be49-381f-477c-95c5-3e08f039e021","resolution":{"observed_at":"2026-07-10T04:46:46.390556Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"math/0410418","last_updated":"2004-10-19T14:04:47Z","snapshot_observed_at":"2026-08-01T05:41:50.925917Z","submitted_at":"2004-10-19T14:04:47Z","title":"On the convergence and singularities of the J-flow with applications to the Mabuchi energy","version":1},"cited_work":{"arxiv_id":"math/0410418","doi":"10.1002/cpa.20182","metadata_source":"pith","pith_arxiv_id":"math/0410418","snapshot_observed_at":"2026-08-05T02:49:54.815029Z","title":"On the convergence and singularities of the J-flow with applications to the Mabuchi energy","venue":"math.DG","work_id":"d98f5130-6434-4e1f-9602-9a148d2aa03a","year":2004},"citing_paper":{"arxiv_id":"2607.08622","last_updated":"2026-07-09T15:54:58Z","snapshot_observed_at":"2026-08-06T22:01:52.516064Z","submitted_at":"2026-07-09T15:54:58Z","title":"Deformed Hermitian-Yang-Mills equation on the manifold of full flags","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-07-11T11:50:26.030339Z"},"links":{"cited_paper":"/paper/math/0410418","citing_paper":"/paper/2607.08622"},"observation_digest":"sha256:dd43dcc5d1867518bae77e82233592bb11475d3c6ceed5e81ff3114449be565b","observation_id":"4cd1d18d-1704-4e5f-8417-72df016dc970","resolution":{"observed_at":"2026-07-10T04:46:46.394973Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-07-17T22:21:21.275415+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-17T22:21:21.275415+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"jdg/1527040","doi":"10.4310/jdg/1527040875","metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Fully non-linear elliptic equations on compact","venue":"Journal of Differential Geometry","work_id":"bfb61c8a-7936-48c2-932d-c0a55ee19bde","year":2018},"citing_paper":{"arxiv_id":"2607.08622","last_updated":"2026-07-09T15:54:58Z","snapshot_observed_at":"2026-08-06T22:01:52.516064Z","submitted_at":"2026-07-09T15:54:58Z","title":"Deformed Hermitian-Yang-Mills equation on the manifold of full flags","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-07-10T04:37:26.850590Z"},"links":{"citing_paper":"/paper/2607.08622"},"observation_digest":"sha256:2aef1f44f927c0c6d1c2f2b3e9652e2849e456416808f6208ffe4116176d2fa6","observation_id":"35bf32df-dc62-4e1c-9f04-bd34b8ce033e","resolution":{"observed_at":"2026-07-10T04:46:46.663338Z","resolver_source":"arxiv_id","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1142/s0129167x20501165","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"[Tak24] Ryosuke Takahashi","venue":"International Journal of Mathematics","work_id":"21c28e36-ea71-4ad5-aa94-1c42683c7592","year":2024},"citing_paper":{"arxiv_id":"2607.08622","last_updated":"2026-07-09T15:54:58Z","snapshot_observed_at":"2026-08-06T22:01:52.516064Z","submitted_at":"2026-07-09T15:54:58Z","title":"Deformed Hermitian-Yang-Mills equation on the manifold of full flags","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-07-10T04:37:26.850590Z"},"links":{"citing_paper":"/paper/2607.08622"},"observation_digest":"sha256:f35caa5eda2540c1cfdce528f41113359eefa2aaed0e2b9f5a7fb544796f8cc2","observation_id":"e8c12146-da09-468b-8ad4-c411bb450d7c","resolution":{"observed_at":"2026-07-10T04:46:46.398794Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-07-17T22:21:21.735349+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-17T22:21:21.735349+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2023.110265","doi":"10.1016/j.jfa.2023.110265","metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"[Wan58] Hsien-chung Wang","venue":"Journal of Functional Analysis","work_id":"36ab4d8b-9749-4bda-81fa-770f87bee402","year":2023},"citing_paper":{"arxiv_id":"2607.08622","last_updated":"2026-07-09T15:54:58Z","snapshot_observed_at":"2026-08-06T22:01:52.516064Z","submitted_at":"2026-07-09T15:54:58Z","title":"Deformed Hermitian-Yang-Mills equation on the manifold of full flags","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-07-10T04:37:26.850590Z"},"links":{"citing_paper":"/paper/2607.08622"},"observation_digest":"sha256:ece0d400aa830de15ad2cd832c4fdced5f8b3481651527d870b03a07a49d4d55","observation_id":"2c2f3901-3d92-4bce-8f9d-b81a6444d920","resolution":{"observed_at":"2026-07-10T04:46:46.403545Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-07-17T22:21:22.101454+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-17T22:21:22.101454+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"math/0306012","last_updated":"2004-10-19T14:27:50Z","snapshot_observed_at":"2026-08-08T15:29:14.097579Z","submitted_at":"2003-05-31T19:48:41Z","title":"Convergence of the J-flow on Kahler surfaces","version":2},"cited_work":{"arxiv_id":"math/0306012","doi":null,"metadata_source":"pith","pith_arxiv_id":"math/0306012","snapshot_observed_at":"2026-07-10T04:46:46.659395Z","title":"Convergence of the J-flow on Kahler surfaces","venue":"math.DG","work_id":"19700d82-0bd1-4fd7-9c3b-01a056fa3aa4","year":2003},"citing_paper":{"arxiv_id":"2607.08622","last_updated":"2026-07-09T15:54:58Z","snapshot_observed_at":"2026-08-06T22:01:52.516064Z","submitted_at":"2026-07-09T15:54:58Z","title":"Deformed Hermitian-Yang-Mills equation on the manifold of full flags","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-07-10T04:37:26.850590Z"},"links":{"cited_paper":"/paper/math/0306012","citing_paper":"/paper/2607.08622"},"observation_digest":"sha256:ffc50956e101d104d3c23d8d310573bec423b671222495432625362f5be3f180","observation_id":"ab0ede14-afac-438f-8ef9-e932c32ef2b6","resolution":{"observed_at":"2026-07-10T04:46:46.660590Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"math/0309404","last_updated":"2006-03-21T10:08:01Z","snapshot_observed_at":"2026-08-07T17:26:06.909732Z","submitted_at":"2003-09-24T15:12:38Z","title":"On the J-flow in higher dimensions and the lower boundedness of the Mabuchi energy","version":2},"cited_work":{"arxiv_id":"math/0309404","doi":null,"metadata_source":"pith","pith_arxiv_id":"math/0309404","snapshot_observed_at":"2026-07-10T04:46:46.659562Z","title":"On the J-flow in higher dimensions and the lower boundedness of the Mabuchi energy","venue":"math.DG","work_id":"73b906d9-a55c-4ea0-9a54-4c06f059d087","year":2003},"citing_paper":{"arxiv_id":"2607.08622","last_updated":"2026-07-09T15:54:58Z","snapshot_observed_at":"2026-08-06T22:01:52.516064Z","submitted_at":"2026-07-09T15:54:58Z","title":"Deformed Hermitian-Yang-Mills equation on the manifold of full flags","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-07-10T04:37:26.850590Z"},"links":{"cited_paper":"/paper/math/0309404","citing_paper":"/paper/2607.08622"},"observation_digest":"sha256:a8e65b23c64660b3f342cb892b1da1b82f33bb169d66cec4bde9445e7675aa7d","observation_id":"10261e5c-b1cf-4d46-ab12-af74b06151d6","resolution":{"observed_at":"2026-07-10T04:46:46.660885Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2302.06592","last_updated":"2023-08-24T07:51:05Z","snapshot_observed_at":"2026-08-07T21:16:14.279518Z","submitted_at":"2023-02-13T18:46:43Z","title":"A note on the supercritical deformed Hermitian-Yang-Mills equation","version":6},"cited_work":{"arxiv_id":"2302.06592","doi":null,"metadata_source":"pith","pith_arxiv_id":"2302.06592","snapshot_observed_at":"2026-07-10T04:46:46.662188Z","title":"A note on the supercritical deformed Hermitian-Yang-Mills equation","venue":"math.DG","work_id":"fbfefa0d-b324-468a-930a-e80cb32bad70","year":2023},"citing_paper":{"arxiv_id":"2607.08622","last_updated":"2026-07-09T15:54:58Z","snapshot_observed_at":"2026-08-06T22:01:52.516064Z","submitted_at":"2026-07-09T15:54:58Z","title":"Deformed Hermitian-Yang-Mills equation on the manifold of full flags","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-07-10T04:37:26.850590Z"},"links":{"cited_paper":"/paper/2302.06592","citing_paper":"/paper/2607.08622"},"observation_digest":"sha256:8a994675ee7359c7e35c57543e66179ee3f3fd13feb77443c7fb4f88984eaa6d","observation_id":"e6e1574a-2808-4922-9ea3-477e89a324a8","resolution":{"observed_at":"2026-07-10T04:46:46.663678Z","resolver_source":"local_arxiv","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2607.08622","last_updated":"2026-07-09T15:54:58Z","latest_version":1,"primary_category":"math.DG","snapshot_observed_at":"2026-08-06T22:01:52.516064Z","submitted_at":"2026-07-09T15:54:58Z","title":"Deformed Hermitian-Yang-Mills equation on the manifold of full flags"},"reference_resolution":{"displayed":34,"state_counts":{"malformed_identifier":8,"metadata_mismatch":4,"parse_uncertain":0,"unresolved":0,"verified_exact":17,"verified_fuzzy":5},"total_outbound_references":34},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 1 inbound Pith citation observation for arXiv:2607.08622."}