{"as_of":"2026-08-11T07:30:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:241325f48f3bc58277953f7d03984db16f12c6a9aed7c205339751895705dc7f","coverage":[{"denominator":50,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":50,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-09T13:43:47.793352Z","state":"measured"},{"denominator":54,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":54,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+00:00","state":"measured"},{"denominator":4,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T20:35:39.296482Z","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":"2026-08-05T14:52:49.823004Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2502.02041","last_updated":"2025-02-04T06:19:44Z","snapshot_observed_at":"2026-08-09T13:32:08.809281Z","submitted_at":"2025-02-04T06:19:44Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K\\\"ahler metrics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2502.02041","snapshot_observed_at":"2026-08-07T20:35:39.296482Z","title":"Nash entropy, Calabi energy and geometric regularization o f singular K¨ ahler metrics, arXiv:2502.02041 (2025)","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2502.09825","last_updated":"2025-02-13T23:43:58Z","snapshot_observed_at":"2026-08-09T19:41:16.727339Z","submitted_at":"2025-02-13T23:43:58Z","title":"On K\\\"ahler-Einstein Currents","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-07T20:35:39.296482Z"},"links":{"cited_paper":"/paper/2502.02041","citing_paper":"/paper/2502.09825"},"observation_digest":"sha256:170cc49210234b4123c50844cabe3f36ee2d64d2ee07f79e02e7d1d5b2f8f90c","observation_id":"50b00da4-6180-4590-91f2-667624f50046","resolution":{"observed_at":"2026-08-07T20:35:39.296482Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2502.02041","last_updated":"2025-02-04T06:19:44Z","snapshot_observed_at":"2026-08-09T13:32:08.809281Z","submitted_at":"2025-02-04T06:19:44Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K\\\"ahler metrics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2502.02041","snapshot_observed_at":"2026-08-07T15:34:50.880355Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K¨ ahler metrics.arXiv:2502.02041, 2025","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2505.14939","last_updated":"2025-05-20T21:58:05Z","snapshot_observed_at":"2026-08-09T19:40:27.951650Z","submitted_at":"2025-05-20T21:58:05Z","title":"Gromov-Hausdorff limits of collapsing Calabi-Yau fibrations","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T15:34:50.880355Z"},"links":{"cited_paper":"/paper/2502.02041","citing_paper":"/paper/2505.14939"},"observation_digest":"sha256:a5c44e4b36d9ed64282a6b0b3f373e74ec25757603edaee28de7bb3f63c126e5","observation_id":"1c1adeb4-8380-40a1-90f4-cb18ca31869c","resolution":{"observed_at":"2026-08-07T15:34:50.880355Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2502.02041","last_updated":"2025-02-04T06:19:44Z","snapshot_observed_at":"2026-08-09T13:32:08.809281Z","submitted_at":"2025-02-04T06:19:44Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K\\\"ahler metrics","version":1},"cited_work":{"arxiv_id":"2502.02041","doi":null,"metadata_source":"pith","pith_arxiv_id":"2502.02041","snapshot_observed_at":"2026-08-05T14:52:49.823004Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K\\\"ahler metrics","venue":"math.DG","work_id":"c7f0b806-3925-4616-8729-54a88d8c5f5e","year":2025},"citing_paper":{"arxiv_id":"2508.20933","last_updated":"2025-08-28T15:57:49Z","snapshot_observed_at":"2026-08-05T14:52:48.265712Z","submitted_at":"2025-08-28T15:57:49Z","title":"H\\\"older estimates for degenerate complex Monge-Amp\\`ere equations","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-05T14:52:49.564397Z"},"links":{"cited_paper":"/paper/2502.02041","citing_paper":"/paper/2508.20933"},"observation_digest":"sha256:9fcf14d829c83fee2a7107268d38b4949590c1cf9797bc9f3ce05a1a0ab72c1e","observation_id":"f6c9810b-4bd9-4054-b66c-be923c327fa0","resolution":{"observed_at":"2026-08-05T14:52:49.827902Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2502.02041","last_updated":"2025-02-04T06:19:44Z","snapshot_observed_at":"2026-08-09T13:32:08.809281Z","submitted_at":"2025-02-04T06:19:44Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K\\\"ahler metrics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2502.02041","snapshot_observed_at":"2026-08-03T08:05:37.168018Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K \\\"a hler metrics","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2601.18741","last_updated":"2026-06-22T08:43:57Z","snapshot_observed_at":"2026-08-11T00:41:29.275501Z","submitted_at":"2026-01-26T18:02:21Z","title":"SNC K\\\"ahler-Einstein metrics and RCD spaces","version":2},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-03T08:05:37.168018Z"},"links":{"cited_paper":"/paper/2502.02041","citing_paper":"/paper/2601.18741"},"observation_digest":"sha256:f984a2202115440c40eef5ade774d95acae2529b98f030680b59087de43b3802","observation_id":"8a852fbd-aee5-4ea1-b08e-5336631feea5","resolution":{"observed_at":"2026-08-03T08:05:37.168018Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2502.02041/citation-record","integrity":"/paper/2502.02041/integrity","json":"/paper/2502.02041/citation-record.json","paper":"/paper/2502.02041"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T13:43:48.685722Z","title":"and Savare, G","venue":null,"work_id":"722ceeeb-0065-45c1-84ee-fffbb542075a","year":2015},"citing_paper":{"arxiv_id":"2502.02041","last_updated":"2025-02-04T06:19:44Z","snapshot_observed_at":"2026-08-09T13:32:08.809281Z","submitted_at":"2025-02-04T06:19:44Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K\\\"ahler metrics","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-09T13:43:47.573875Z"},"links":{"citing_paper":"/paper/2502.02041"},"observation_digest":"sha256:9a18975b5780c2f45c86bc309bea0457c651e640c17cb9a6a6820b7b499b9413","observation_id":"7778d983-6f6e-4e00-ad72-a73beb6106d5","resolution":{"observed_at":"2026-08-09T13:43:48.689890Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-09T13:43:48.671440Z","title":"A variational approach to complex Monge-Amp` ere equations, Publ","venue":null,"work_id":"6785dcfb-1599-4196-bcf8-54e160e4b2f9","year":2013},"citing_paper":{"arxiv_id":"2502.02041","last_updated":"2025-02-04T06:19:44Z","snapshot_observed_at":"2026-08-09T13:32:08.809281Z","submitted_at":"2025-02-04T06:19:44Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K\\\"ahler metrics","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-09T13:43:47.579253Z"},"links":{"citing_paper":"/paper/2502.02041"},"observation_digest":"sha256:38d72c2fd4e1c88da79d27ba750ee9d998c533f63bbb345c6b04d31dc4b33391","observation_id":"243144a2-5166-40a2-b3ad-85e24fd40f60","resolution":{"observed_at":"2026-08-09T13:43:48.676491Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T13:43:47.584003Z","title":"and Trusiani, A","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2502.02041","last_updated":"2025-02-04T06:19:44Z","snapshot_observed_at":"2026-08-09T13:32:08.809281Z","submitted_at":"2025-02-04T06:19:44Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K\\\"ahler metrics","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-09T13:43:47.584003Z"},"links":{"citing_paper":"/paper/2502.02041"},"observation_digest":"sha256:d3f5bb1c2a80460e16796e9920fe8d85f4eba55a30e8ff3b1e50675986e562ab","observation_id":"9d4347eb-1e38-4320-8e3d-d59a2f953b92","resolution":{"observed_at":"2026-08-09T13:43:47.584003Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T13:43:48.657942Z","title":"and Colding, T.H","venue":null,"work_id":"bb2cac18-2b7c-4a93-81b4-89551c027da1","year":1997},"citing_paper":{"arxiv_id":"2502.02041","last_updated":"2025-02-04T06:19:44Z","snapshot_observed_at":"2026-08-09T13:32:08.809281Z","submitted_at":"2025-02-04T06:19:44Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K\\\"ahler metrics","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-09T13:43:47.589145Z"},"links":{"citing_paper":"/paper/2502.02041"},"observation_digest":"sha256:d0faf2d6f63d6bf59973449ee568ff2378b551c3b0263fc22b50fd4c8ac05d20","observation_id":"a74e3058-450d-4d9a-8f0b-e574f9cf6c8b","resolution":{"observed_at":"2026-08-09T13:43:48.662253Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-09T13:43:48.644428Z","title":"and Colding, T.H","venue":null,"work_id":"3561dd44-64fd-4b95-94aa-df0cda0d19dd","year":1999},"citing_paper":{"arxiv_id":"2502.02041","last_updated":"2025-02-04T06:19:44Z","snapshot_observed_at":"2026-08-09T13:32:08.809281Z","submitted_at":"2025-02-04T06:19:44Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K\\\"ahler metrics","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-09T13:43:47.593557Z"},"links":{"citing_paper":"/paper/2502.02041"},"observation_digest":"sha256:c2577aa240f39a72b810b0da756fa042da92489dcc5b4c166986bb077c5e1b11","observation_id":"3701bdb6-ddd5-41bf-b1b1-0a96254acabf","resolution":{"observed_at":"2026-08-09T13:43:48.648701Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-09T13:43:48.630268Z","title":"and Tian, G","venue":null,"work_id":"d0d6d017-1019-431e-bc99-4765545f79d1","year":2002},"citing_paper":{"arxiv_id":"2502.02041","last_updated":"2025-02-04T06:19:44Z","snapshot_observed_at":"2026-08-09T13:32:08.809281Z","submitted_at":"2025-02-04T06:19:44Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K\\\"ahler metrics","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-09T13:43:47.598086Z"},"links":{"citing_paper":"/paper/2502.02041"},"observation_digest":"sha256:843a24f20afff66b66a331058d5c57159ce616d0c32fe4be4113d3686076d2d8","observation_id":"3d22b2b3-9cac-4692-a021-b68401b64496","resolution":{"observed_at":"2026-08-09T13:43:48.634679Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-09T13:43:48.616100Z","title":"and Cheng, J","venue":null,"work_id":"33b29031-050f-415d-abe0-c6210eb5b3f7","year":2021},"citing_paper":{"arxiv_id":"2502.02041","last_updated":"2025-02-04T06:19:44Z","snapshot_observed_at":"2026-08-09T13:32:08.809281Z","submitted_at":"2025-02-04T06:19:44Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K\\\"ahler metrics","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-09T13:43:47.602658Z"},"links":{"citing_paper":"/paper/2502.02041"},"observation_digest":"sha256:1e9a37d4163f01d26688070302bec5cacc3711e5fee978480b0f1f7fd47f2909","observation_id":"67a1efa3-5488-4217-83f2-6075fb1f47e1","resolution":{"observed_at":"2026-08-09T13:43:48.620550Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-09T13:43:48.602261Z","title":"and Sun, S","venue":null,"work_id":"914ee6f1-2e43-4a88-9144-c1e1368220bb","year":2015},"citing_paper":{"arxiv_id":"2502.02041","last_updated":"2025-02-04T06:19:44Z","snapshot_observed_at":"2026-08-09T13:32:08.809281Z","submitted_at":"2025-02-04T06:19:44Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K\\\"ahler metrics","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-09T13:43:47.607424Z"},"links":{"citing_paper":"/paper/2502.02041"},"observation_digest":"sha256:79c28ffe8a9b79f7e6073afabeaede9aabda1efa64b7877a6b4c27abaf0c2a71","observation_id":"82c3536d-a8e4-4f64-a2fc-f7eaec077b77","resolution":{"observed_at":"2026-08-09T13:43:48.606780Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-09T13:43:48.587775Z","title":"and Sun, S","venue":null,"work_id":"09726b28-bffc-4e50-be24-d9391736e7a5","year":2015},"citing_paper":{"arxiv_id":"2502.02041","last_updated":"2025-02-04T06:19:44Z","snapshot_observed_at":"2026-08-09T13:32:08.809281Z","submitted_at":"2025-02-04T06:19:44Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K\\\"ahler metrics","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-09T13:43:47.611709Z"},"links":{"citing_paper":"/paper/2502.02041"},"observation_digest":"sha256:f3946ce2a93dbb66c2b737a7d26b621f112ca172fd7ebccc58dc0dd6cafafb68","observation_id":"dac343df-aacb-4aa5-b79f-2130828313b4","resolution":{"observed_at":"2026-08-09T13:43:48.592392Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-09T13:43:48.573367Z","title":"and Sun, S","venue":null,"work_id":"51b4c3a7-62a5-4ba0-ada9-3be281a4dd56","year":2015},"citing_paper":{"arxiv_id":"2502.02041","last_updated":"2025-02-04T06:19:44Z","snapshot_observed_at":"2026-08-09T13:32:08.809281Z","submitted_at":"2025-02-04T06:19:44Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K\\\"ahler metrics","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-09T13:43:47.616166Z"},"links":{"citing_paper":"/paper/2502.02041"},"observation_digest":"sha256:2d7069aa22c921eec756748866acd1bef96c5f0718919524cd9df97bb15e3c89","observation_id":"51a43ab3-3e9f-4e60-ad48-e8f6dbf324e5","resolution":{"observed_at":"2026-08-09T13:43:48.577817Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-09T13:43:48.559007Z","title":"On K¨ ahler-Einstein currents, preprint, 2025","venue":null,"work_id":"aa3a65f3-1db4-4de7-bec2-f490b63cfa81","year":2025},"citing_paper":{"arxiv_id":"2502.02041","last_updated":"2025-02-04T06:19:44Z","snapshot_observed_at":"2026-08-09T13:32:08.809281Z","submitted_at":"2025-02-04T06:19:44Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K\\\"ahler metrics","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-09T13:43:47.620664Z"},"links":{"citing_paper":"/paper/2502.02041"},"observation_digest":"sha256:545a4abb0153ba35efe8cf32dfa9b55114ef7e5ef4d17253bbef32c7baf5a185","observation_id":"93d8eabe-5bc5-4f5b-b7e1-451460fd9e20","resolution":{"observed_at":"2026-08-09T13:43:48.563697Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-09T13:43:48.545378Z","title":"and Naber, A","venue":null,"work_id":"e894ec9f-3164-4766-a7b1-3e61d7fe1d3a","year":2012},"citing_paper":{"arxiv_id":"2502.02041","last_updated":"2025-02-04T06:19:44Z","snapshot_observed_at":"2026-08-09T13:32:08.809281Z","submitted_at":"2025-02-04T06:19:44Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K\\\"ahler metrics","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-09T13:43:47.625254Z"},"links":{"citing_paper":"/paper/2502.02041"},"observation_digest":"sha256:81ef16e30fbff5469b4324aa30b3adac1e133710add41e8f383dc32667e92ad7","observation_id":"1a8724e5-ff02-473e-a53a-5eff25f2d8a4","resolution":{"observed_at":"2026-08-09T13:43:48.549592Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-09T13:43:48.531464Z","title":"On the extension of quasiplurisubharmonic functions , Anal","venue":null,"work_id":"5444c38b-7560-45c2-80ec-6d2e98732ffb","year":2022},"citing_paper":{"arxiv_id":"2502.02041","last_updated":"2025-02-04T06:19:44Z","snapshot_observed_at":"2026-08-09T13:32:08.809281Z","submitted_at":"2025-02-04T06:19:44Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K\\\"ahler metrics","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-09T13:43:47.629600Z"},"links":{"citing_paper":"/paper/2502.02041"},"observation_digest":"sha256:56fb439ba40e00452bed7cf85400f62d95492f845b0f7b597b50065ae9dc60ed","observation_id":"6b9ada7f-66a9-4ece-86b0-4f7b1469921d","resolution":{"observed_at":"2026-08-09T13:43:48.536001Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-09T13:43:48.516456Z","title":"Metric geometry of normal K¨ ahler spaces, energy propernes s, and existence of canonical metrics, Int","venue":null,"work_id":"4b48b43f-1302-4e53-b6ea-ec8aa8486862","year":2017},"citing_paper":{"arxiv_id":"2502.02041","last_updated":"2025-02-04T06:19:44Z","snapshot_observed_at":"2026-08-09T13:32:08.809281Z","submitted_at":"2025-02-04T06:19:44Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K\\\"ahler metrics","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-09T13:43:47.634091Z"},"links":{"citing_paper":"/paper/2502.02041"},"observation_digest":"sha256:d42ddf2fec41ea8c98d7014313a039f9eaa535bcdf7ae021667a5c288f831deb","observation_id":"848f33cb-3c9c-4113-9bdb-f7ce547230f4","resolution":{"observed_at":"2026-08-09T13:43:48.521143Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-09T13:43:48.501936Z","title":"Holder Continuity of Tangent Cones and Non-Branching in RCD (K,N) Spaces , Thesis (Ph.D.)–University of Toronto (Canada), 2021","venue":null,"work_id":"506ebf30-705f-4dd2-b244-8ddf1343b9d8","year":2021},"citing_paper":{"arxiv_id":"2502.02041","last_updated":"2025-02-04T06:19:44Z","snapshot_observed_at":"2026-08-09T13:32:08.809281Z","submitted_at":"2025-02-04T06:19:44Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K\\\"ahler metrics","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-09T13:43:47.638528Z"},"links":{"citing_paper":"/paper/2502.02041"},"observation_digest":"sha256:af5b801d1f97c8a502b35fc3a097508494bcf8d544deb8fd7ee032a6f04ce7c9","observation_id":"f6b357fb-ccf3-47b2-a380-93cae56dc52f","resolution":{"observed_at":"2026-08-09T13:43:48.506658Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-09T13:43:48.488540Z","title":"and Gigli, N","venue":null,"work_id":"0e5f6fe8-06f4-41e1-850a-523f96291e51","year":2016},"citing_paper":{"arxiv_id":"2502.02041","last_updated":"2025-02-04T06:19:44Z","snapshot_observed_at":"2026-08-09T13:32:08.809281Z","submitted_at":"2025-02-04T06:19:44Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K\\\"ahler metrics","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-09T13:43:47.642724Z"},"links":{"citing_paper":"/paper/2502.02041"},"observation_digest":"sha256:39a9993a9b0cdc80e432f8e8b450c93e7b10f1a956ded95b30511da73213987f","observation_id":"9ab085e5-b02b-4b98-865b-45432211089e","resolution":{"observed_at":"2026-08-09T13:43:48.492840Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-09T13:43:48.473948Z","title":"Non-collapsed spaces with Ricci curvature bounded from below, J","venue":null,"work_id":"ec4c5a9f-1afe-431d-898e-1644d5fab6a7","year":2018},"citing_paper":{"arxiv_id":"2502.02041","last_updated":"2025-02-04T06:19:44Z","snapshot_observed_at":"2026-08-09T13:32:08.809281Z","submitted_at":"2025-02-04T06:19:44Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K\\\"ahler metrics","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-09T13:43:47.646975Z"},"links":{"citing_paper":"/paper/2502.02041"},"observation_digest":"sha256:53b6fd20fbda0e295b9c487bf2dd2a666b25093350ee578b0eaa67ee4c3e07fb","observation_id":"f11dad91-dda0-4ada-8b65-9c96d1224e87","resolution":{"observed_at":"2026-08-09T13:43:48.478892Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-09T13:43:48.459806Z","title":"and Zhang, Z","venue":null,"work_id":"9ec10324-a6b5-4eee-9844-2d3bfd172770","year":2010},"citing_paper":{"arxiv_id":"2502.02041","last_updated":"2025-02-04T06:19:44Z","snapshot_observed_at":"2026-08-09T13:32:08.809281Z","submitted_at":"2025-02-04T06:19:44Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K\\\"ahler metrics","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-09T13:43:47.651367Z"},"links":{"citing_paper":"/paper/2502.02041"},"observation_digest":"sha256:c5212e237dc431777bdbb3a8d93cce65bc9bfec99ba44a8a512238ea4ae0f966","observation_id":"1c6fc38d-6712-4ef0-ab27-06ebced1f6d9","resolution":{"observed_at":"2026-08-09T13:43:48.464267Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-09T13:43:48.444181Z","title":"and Sun, S","venue":null,"work_id":"738de471-fcdd-4a86-8322-9f250f9056e2","year":2014},"citing_paper":{"arxiv_id":"2502.02041","last_updated":"2025-02-04T06:19:44Z","snapshot_observed_at":"2026-08-09T13:32:08.809281Z","submitted_at":"2025-02-04T06:19:44Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K\\\"ahler metrics","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-09T13:43:47.655608Z"},"links":{"citing_paper":"/paper/2502.02041"},"observation_digest":"sha256:64247ec7332c231422d7bce8b127d60ea16ff34d9a66483ce055ccc9c033db70","observation_id":"ffb74a56-bd1d-46d4-91f8-410746a2120c","resolution":{"observed_at":"2026-08-09T13:43:48.448987Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-09T13:43:48.429773Z","title":"and Zeriahi, A","venue":null,"work_id":"97e54acc-af66-4056-bbf1-4348fef4628b","year":2009},"citing_paper":{"arxiv_id":"2502.02041","last_updated":"2025-02-04T06:19:44Z","snapshot_observed_at":"2026-08-09T13:32:08.809281Z","submitted_at":"2025-02-04T06:19:44Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K\\\"ahler metrics","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-09T13:43:47.659808Z"},"links":{"citing_paper":"/paper/2502.02041"},"observation_digest":"sha256:cfeb35293dc48008d272a8bf555adeabfa37e1aa752229485cc1331aaf83868a","observation_id":"6fbacf1a-9c47-46ae-b52d-1b41214be023","resolution":{"observed_at":"2026-08-09T13:43:48.434180Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-09T13:43:48.415370Z","title":"and Song, J","venue":null,"work_id":"b19946ad-eb0e-4a77-938b-9f7c24f00f55","year":2020},"citing_paper":{"arxiv_id":"2502.02041","last_updated":"2025-02-04T06:19:44Z","snapshot_observed_at":"2026-08-09T13:32:08.809281Z","submitted_at":"2025-02-04T06:19:44Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K\\\"ahler metrics","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-09T13:43:47.664165Z"},"links":{"citing_paper":"/paper/2502.02041"},"observation_digest":"sha256:01c4a9c2ba5f2f2c0bb5cc1b72a7afae7144e194b29940536c86625283db2eaf","observation_id":"a434d6d7-5af5-4f93-9693-fb63a94c68fe","resolution":{"observed_at":"2026-08-09T13:43:48.419973Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-09T13:43:48.400744Z","title":"and Song, J","venue":null,"work_id":"ef345019-5612-43ee-aa34-2a8a21f556f6","year":null},"citing_paper":{"arxiv_id":"2502.02041","last_updated":"2025-02-04T06:19:44Z","snapshot_observed_at":"2026-08-09T13:32:08.809281Z","submitted_at":"2025-02-04T06:19:44Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K\\\"ahler metrics","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-09T13:43:47.668445Z"},"links":{"citing_paper":"/paper/2502.02041"},"observation_digest":"sha256:510707d4174ea13a429c2fa4f2aa3efd70901121b51883ad4a4513064f292667","observation_id":"6034be40-ee21-48b5-af38-1dc6d36a8faa","resolution":{"observed_at":"2026-08-09T13:43:48.405219Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2405.17232","last_updated":"2024-06-02T12:47:56Z","snapshot_observed_at":"2026-07-06T18:20:35.626876Z","submitted_at":"2024-05-27T14:49:33Z","title":"K\\\"ahler families of Green's functions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.17232","snapshot_observed_at":"2026-08-09T13:43:47.672893Z","title":"and Tˆ o, T.D.K¨ ahler families of Green’s functions, arXiv:2405.17232","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2502.02041","last_updated":"2025-02-04T06:19:44Z","snapshot_observed_at":"2026-08-09T13:32:08.809281Z","submitted_at":"2025-02-04T06:19:44Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K\\\"ahler metrics","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-09T13:43:47.672893Z"},"links":{"cited_paper":"/paper/2405.17232","citing_paper":"/paper/2502.02041"},"observation_digest":"sha256:543d300023129ea7d23907a77022792eb77d9d61921886fb3f08a0fef2123cae","observation_id":"24c3afaf-58e2-410e-aa9e-2fbae0b81ac7","resolution":{"observed_at":"2026-08-09T13:43:47.672893Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2311.00221","last_updated":"2023-11-01T01:44:39Z","snapshot_observed_at":"2026-08-01T20:58:26.661584Z","submitted_at":"2023-11-01T01:44:39Z","title":"Sobolev inequalities on K\\\"ahler spaces","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.00221","snapshot_observed_at":"2026-08-09T13:43:47.677633Z","title":"and Sturm, J","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2502.02041","last_updated":"2025-02-04T06:19:44Z","snapshot_observed_at":"2026-08-09T13:32:08.809281Z","submitted_at":"2025-02-04T06:19:44Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K\\\"ahler metrics","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-09T13:43:47.677633Z"},"links":{"cited_paper":"/paper/2311.00221","citing_paper":"/paper/2502.02041"},"observation_digest":"sha256:11bdd16a6a76cd64eb711612995c7c3e8ea2090e803cc61ac2e3d652602c0a69","observation_id":"deb0af44-b884-4ba8-89cb-5803a1fc7a50","resolution":{"observed_at":"2026-08-09T13:43:47.677633Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T13:43:48.387192Z","title":"and Sturm, J","venue":null,"work_id":"50e89dd9-02bf-43d2-a2f3-feb3d5ec85af","year":2024},"citing_paper":{"arxiv_id":"2502.02041","last_updated":"2025-02-04T06:19:44Z","snapshot_observed_at":"2026-08-09T13:32:08.809281Z","submitted_at":"2025-02-04T06:19:44Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K\\\"ahler metrics","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-09T13:43:47.682140Z"},"links":{"citing_paper":"/paper/2502.02041"},"observation_digest":"sha256:13e6842666960e163cca5c183bfd8c341cf2a3e9a596a1b8054e0cc8622e7ef7","observation_id":"84fb97a8-7823-41cb-87b9-ed7fe49c8c37","resolution":{"observed_at":"2026-08-09T13:43:48.391559Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T13:43:47.686360Z","title":"and Sturm, J","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.02041","last_updated":"2025-02-04T06:19:44Z","snapshot_observed_at":"2026-08-09T13:32:08.809281Z","submitted_at":"2025-02-04T06:19:44Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K\\\"ahler metrics","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-09T13:43:47.686360Z"},"links":{"citing_paper":"/paper/2502.02041"},"observation_digest":"sha256:31e3735b7983c908ccc9c243589e902d727e887954ee70227be40f4627084bef","observation_id":"de15250a-558e-409c-a8d3-a659795ea866","resolution":{"observed_at":"2026-08-09T13:43:47.686360Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T13:43:48.364457Z","title":"and Tong, F","venue":null,"work_id":"1868a5dd-de95-4184-9376-db552f093111","year":2023},"citing_paper":{"arxiv_id":"2502.02041","last_updated":"2025-02-04T06:19:44Z","snapshot_observed_at":"2026-08-09T13:32:08.809281Z","submitted_at":"2025-02-04T06:19:44Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K\\\"ahler metrics","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-09T13:43:47.690560Z"},"links":{"citing_paper":"/paper/2502.02041"},"observation_digest":"sha256:c982e0eca5d4982069feda8f2341e4516641abdc088b3159aa5b2cb3289891c4","observation_id":"71f1732e-5875-4aaf-a55b-4345bb95e352","resolution":{"observed_at":"2026-08-09T13:43:48.369006Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-09T13:43:48.350467Z","title":"Bakry- `Emery conditions on almost smooth metric measure spaces , Anal","venue":null,"work_id":"4fc162ca-a16d-4506-8177-d93a94d69f04","year":2018},"citing_paper":{"arxiv_id":"2502.02041","last_updated":"2025-02-04T06:19:44Z","snapshot_observed_at":"2026-08-09T13:32:08.809281Z","submitted_at":"2025-02-04T06:19:44Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K\\\"ahler metrics","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-09T13:43:47.694999Z"},"links":{"citing_paper":"/paper/2502.02041"},"observation_digest":"sha256:59ea83e887c2d52405598ab046739362c35d15b477eb3941a470bcd2d43ab9d2","observation_id":"ee297e4d-baef-4731-ad63-51dcb166c8e3","resolution":{"observed_at":"2026-08-09T13:43:48.354850Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-09T13:43:48.336789Z","title":"and Wang, F","venue":null,"work_id":"49126f12-e673-4786-a695-fa739f6c633c","year":2021},"citing_paper":{"arxiv_id":"2502.02041","last_updated":"2025-02-04T06:19:44Z","snapshot_observed_at":"2026-08-09T13:32:08.809281Z","submitted_at":"2025-02-04T06:19:44Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K\\\"ahler metrics","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-09T13:43:47.699372Z"},"links":{"citing_paper":"/paper/2502.02041"},"observation_digest":"sha256:76d15ea7b98ff2792a7c50e0c8912bc56a12857b2e75865981dcf073de98438a","observation_id":"45023e77-335b-4ca3-b644-78b6141e15e0","resolution":{"observed_at":"2026-08-09T13:43:48.341423Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-09T13:43:48.323158Z","title":"and Sz´ ekelyhidi, G.Gromov-Hausdorff limits of K¨ ahler manifolds with Ricci cur vature bounded below, Geom","venue":null,"work_id":"3b60ef6d-1388-4e24-9f6c-49f68bb2e308","year":2022},"citing_paper":{"arxiv_id":"2502.02041","last_updated":"2025-02-04T06:19:44Z","snapshot_observed_at":"2026-08-09T13:32:08.809281Z","submitted_at":"2025-02-04T06:19:44Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K\\\"ahler metrics","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-09T13:43:47.703672Z"},"links":{"citing_paper":"/paper/2502.02041"},"observation_digest":"sha256:c903f55033f4c926286e90ecc52c400441165be88a951cfd148f89cd95033069","observation_id":"ee285703-9720-4a6d-8f3a-7f659e9963bb","resolution":{"observed_at":"2026-08-09T13:43:48.327673Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-09T13:43:48.309418Z","title":"180 (1998) 69–117","venue":null,"work_id":"42668bf3-cb5d-40e5-a875-2962bc1a7034","year":1998},"citing_paper":{"arxiv_id":"2502.02041","last_updated":"2025-02-04T06:19:44Z","snapshot_observed_at":"2026-08-09T13:32:08.809281Z","submitted_at":"2025-02-04T06:19:44Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K\\\"ahler metrics","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-09T13:43:47.707881Z"},"links":{"citing_paper":"/paper/2502.02041"},"observation_digest":"sha256:3bda4f4d189244493766056161d07dcf4add69ffbb853cad817c7f74ab5d36c2","observation_id":"51105221-06cf-4730-b819-6bd832ee99d8","resolution":{"observed_at":"2026-08-09T13:43:48.313845Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-09T13:43:48.294632Z","title":null,"venue":null,"work_id":"60edb832-133c-4a25-af1f-6319c76fc526","year":2003},"citing_paper":{"arxiv_id":"2502.02041","last_updated":"2025-02-04T06:19:44Z","snapshot_observed_at":"2026-08-09T13:32:08.809281Z","submitted_at":"2025-02-04T06:19:44Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K\\\"ahler metrics","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-09T13:43:47.711975Z"},"links":{"citing_paper":"/paper/2502.02041"},"observation_digest":"sha256:0af93caac5fcf3c66e04211f0423fe279acbe3adce1b3702e104bafd1dd1571d","observation_id":"74196bd9-6a5e-41a6-bee9-3c9eba796db1","resolution":{"observed_at":"2026-08-09T13:43:48.299634Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-09T13:43:48.280431Z","title":"and Villani, C","venue":null,"work_id":"ffb62f4b-a762-4e80-86f1-9d9ed1b56378","year":2009},"citing_paper":{"arxiv_id":"2502.02041","last_updated":"2025-02-04T06:19:44Z","snapshot_observed_at":"2026-08-09T13:32:08.809281Z","submitted_at":"2025-02-04T06:19:44Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K\\\"ahler metrics","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-09T13:43:47.716178Z"},"links":{"citing_paper":"/paper/2502.02041"},"observation_digest":"sha256:42b72fd8c48dc25afd5bfed2a999d3b6b9eb49cc0cf5ebc46e70e895b98c914b","observation_id":"43e9711f-269f-4f52-af38-aee6c236c92a","resolution":{"observed_at":"2026-08-09T13:43:48.284798Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T13:43:47.720502Z","title":"and To, T.D","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2502.02041","last_updated":"2025-02-04T06:19:44Z","snapshot_observed_at":"2026-08-09T13:32:08.809281Z","submitted_at":"2025-02-04T06:19:44Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K\\\"ahler metrics","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-09T13:43:47.720502Z"},"links":{"citing_paper":"/paper/2502.02041"},"observation_digest":"sha256:dac880264252b83b531db3dc6b8fe354a12e6f125ef6e7b38cef5813fd72da38","observation_id":"64fe92d5-7f18-4bd7-bdae-c830c15c75b3","resolution":{"observed_at":"2026-08-09T13:43:47.720502Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1404.0445","last_updated":"2014-04-02T03:42:47Z","snapshot_observed_at":"2026-07-06T03:40:07.370715Z","submitted_at":"2014-04-02T03:42:47Z","title":"Riemannian geometry of Kahler-Einstein currents","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1404.0445","snapshot_observed_at":"2026-08-09T13:43:47.725058Z","title":"Riemannian geometry of K¨ ahler-Einstein currents, arXiv:1404.0445","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2502.02041","last_updated":"2025-02-04T06:19:44Z","snapshot_observed_at":"2026-08-09T13:32:08.809281Z","submitted_at":"2025-02-04T06:19:44Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K\\\"ahler metrics","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-09T13:43:47.725058Z"},"links":{"cited_paper":"/paper/1404.0445","citing_paper":"/paper/2502.02041"},"observation_digest":"sha256:bb6215d111fe6b375bd366302869a90ec73e1aebda6d8f72b78bcc5c4337c5b5","observation_id":"6e89e44e-85be-4743-a65b-901b1d505d2b","resolution":{"observed_at":"2026-08-09T13:43:47.725058Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1409.8374","last_updated":"2014-09-30T03:18:38Z","snapshot_observed_at":"2026-07-06T03:55:57.965897Z","submitted_at":"2014-09-30T03:18:38Z","title":"Riemannian geometry of Kahler-Einstein currents II: an analytic proof of Kawamata's base point free theorem","version":1},"cited_work":{"arxiv_id":"1409.8374","doi":null,"metadata_source":"pith","pith_arxiv_id":"1409.8374","snapshot_observed_at":"2026-08-09T13:43:47.901577Z","title":"Riemannian geometry of Kahler-Einstein currents II: an analytic proof of Kawamata's base point free theorem","venue":"math.DG","work_id":"a2f763e0-a452-4c00-ab63-cf71d451dcad","year":2014},"citing_paper":{"arxiv_id":"2502.02041","last_updated":"2025-02-04T06:19:44Z","snapshot_observed_at":"2026-08-09T13:32:08.809281Z","submitted_at":"2025-02-04T06:19:44Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K\\\"ahler metrics","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-09T13:43:47.730193Z"},"links":{"cited_paper":"/paper/1409.8374","citing_paper":"/paper/2502.02041"},"observation_digest":"sha256:2c87ab0ec6eacfbaba6b0bcd1d6ae701ff73faf59936d9cd83cff18e155e49c2","observation_id":"92fb0d2d-7806-4a97-8460-7ea83dfd00cd","resolution":{"observed_at":"2026-08-09T13:43:47.906310Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1706.01518","last_updated":"2017-06-05T19:56:10Z","snapshot_observed_at":"2026-07-06T05:45:39.485902Z","submitted_at":"2017-06-05T19:56:10Z","title":"Degeneration of Kahler-Einstein manifolds of negative scalar curvature","version":1},"cited_work":{"arxiv_id":"1706.01518","doi":null,"metadata_source":"pith","pith_arxiv_id":"1706.01518","snapshot_observed_at":"2026-08-09T13:43:47.881093Z","title":"Degeneration of Kahler-Einstein manifolds of negative scalar curvature","venue":"math.DG","work_id":"2b81e419-b024-456b-9c77-290e51a4c20e","year":2017},"citing_paper":{"arxiv_id":"2502.02041","last_updated":"2025-02-04T06:19:44Z","snapshot_observed_at":"2026-08-09T13:32:08.809281Z","submitted_at":"2025-02-04T06:19:44Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K\\\"ahler metrics","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-09T13:43:47.735610Z"},"links":{"cited_paper":"/paper/1706.01518","citing_paper":"/paper/2502.02041"},"observation_digest":"sha256:8c66f02200ee2a35d4ce3373f95ccb8d2ffb92cfa2382f256b7f4f28137b4920","observation_id":"739698ea-0db2-42d4-bb37-b4a2749f2d88","resolution":{"observed_at":"2026-08-09T13:43:47.885910Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-09T13:43:48.265890Z","title":"and Tian, G","venue":null,"work_id":"0b4d73d8-5099-4d04-adde-2a2433cbd8f5","year":2007},"citing_paper":{"arxiv_id":"2502.02041","last_updated":"2025-02-04T06:19:44Z","snapshot_observed_at":"2026-08-09T13:32:08.809281Z","submitted_at":"2025-02-04T06:19:44Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K\\\"ahler metrics","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-09T13:43:47.740395Z"},"links":{"citing_paper":"/paper/2502.02041"},"observation_digest":"sha256:c7f99ec488ad327f28d6524d1776e36cbfd4d5826831209d9ec36e7b6ac070de","observation_id":"ad45e1d6-1ef1-4c37-8ae0-51a73a449a3e","resolution":{"observed_at":"2026-08-09T13:43:48.270266Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-09T13:43:48.251709Z","title":"and Tian, G","venue":null,"work_id":"71a6192e-3310-48f1-bbb3-a72316e70c1b","year":2012},"citing_paper":{"arxiv_id":"2502.02041","last_updated":"2025-02-04T06:19:44Z","snapshot_observed_at":"2026-08-09T13:32:08.809281Z","submitted_at":"2025-02-04T06:19:44Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K\\\"ahler metrics","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-09T13:43:47.744853Z"},"links":{"citing_paper":"/paper/2502.02041"},"observation_digest":"sha256:25fd0f501db5c055b3e383cca306b38faa13dee7933bff82eab2316df2017ac9","observation_id":"ad314abb-eebd-452f-b508-f997ef6f73a8","resolution":{"observed_at":"2026-08-09T13:43:48.256226Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-09T13:43:48.238061Z","title":"private notes, available at https://sites.rutgers.edu/jacob-sturm/publications/","venue":null,"work_id":"0f31a8c8-538b-4876-802e-26e995e18fec","year":null},"citing_paper":{"arxiv_id":"2502.02041","last_updated":"2025-02-04T06:19:44Z","snapshot_observed_at":"2026-08-09T13:32:08.809281Z","submitted_at":"2025-02-04T06:19:44Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K\\\"ahler metrics","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-09T13:43:47.749166Z"},"links":{"citing_paper":"/paper/2502.02041"},"observation_digest":"sha256:0612531ee048b68bcca1b96997944a0b455b4046379b401e621b5f24a5a3bf25","observation_id":"9d0b3e87-8805-442a-8b20-4cef938030df","resolution":{"observed_at":"2026-08-09T13:43:48.242527Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-09T13:43:48.223370Z","title":"On the geometry of metric measure spaces","venue":null,"work_id":"6edcc3ee-ddaa-442a-9fec-6b677d3c1ab3","year":2006},"citing_paper":{"arxiv_id":"2502.02041","last_updated":"2025-02-04T06:19:44Z","snapshot_observed_at":"2026-08-09T13:32:08.809281Z","submitted_at":"2025-02-04T06:19:44Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K\\\"ahler metrics","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-09T13:43:47.753512Z"},"links":{"citing_paper":"/paper/2502.02041"},"observation_digest":"sha256:8d0445bfaf30c8fa8350c1eb98db3e8db04ec9a6599c53418404c2f62d9770fb","observation_id":"c11427ab-92a0-4737-bcbd-592316a6e377","resolution":{"observed_at":"2026-08-09T13:43:48.228735Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2408.10747","last_updated":"2024-12-11T19:10:29Z","snapshot_observed_at":"2026-08-05T11:42:48.428585Z","submitted_at":"2024-08-20T11:30:56Z","title":"Singular K\\\"ahler-Einstein metrics and RCD spaces","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.10747","snapshot_observed_at":"2026-08-09T13:43:47.757679Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.02041","last_updated":"2025-02-04T06:19:44Z","snapshot_observed_at":"2026-08-09T13:32:08.809281Z","submitted_at":"2025-02-04T06:19:44Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K\\\"ahler metrics","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-09T13:43:47.757679Z"},"links":{"cited_paper":"/paper/2408.10747","citing_paper":"/paper/2502.02041"},"observation_digest":"sha256:7d20cca3b8465ae545ded220b41aff7acf8e22c9047d24a15990b8d39e9805c4","observation_id":"63263246-5533-40a3-9466-726e19320121","resolution":{"observed_at":"2026-08-09T13:43:47.757679Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T13:43:48.209314Z","title":"On Calabi’s conjecture for complex surfaces with positive fi rst Chern class , Invent","venue":null,"work_id":"66f273e8-8218-40d9-8941-1a66ef64abd7","year":1990},"citing_paper":{"arxiv_id":"2502.02041","last_updated":"2025-02-04T06:19:44Z","snapshot_observed_at":"2026-08-09T13:32:08.809281Z","submitted_at":"2025-02-04T06:19:44Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K\\\"ahler metrics","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-09T13:43:47.762505Z"},"links":{"citing_paper":"/paper/2502.02041"},"observation_digest":"sha256:d539e7c7c2a7e85a9fa0848382ac57baef3ca2ba08e31c1e08c92ac505f0e43c","observation_id":"e3251785-49e7-445d-8819-ea2dd2965eb5","resolution":{"observed_at":"2026-08-09T13:43:48.213800Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T13:43:47.767194Z","title":"K¨ ahler-Einstein metrics with positive scalar curvature, Invent","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2502.02041","last_updated":"2025-02-04T06:19:44Z","snapshot_observed_at":"2026-08-09T13:32:08.809281Z","submitted_at":"2025-02-04T06:19:44Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K\\\"ahler metrics","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-09T13:43:47.767194Z"},"links":{"citing_paper":"/paper/2502.02041"},"observation_digest":"sha256:ae685445d633717b6346bede92315dba77eedb4975e22278a0b5c499260e1c32","observation_id":"c217c927-43c9-4aba-8385-edcc73811748","resolution":{"observed_at":"2026-08-09T13:43:47.767194Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T13:43:48.185972Z","title":"Canonical metrics in K¨ ahler geometry, Lectures Math","venue":null,"work_id":"6fab18f0-ec58-4600-8dd1-5188992f5760","year":null},"citing_paper":{"arxiv_id":"2502.02041","last_updated":"2025-02-04T06:19:44Z","snapshot_observed_at":"2026-08-09T13:32:08.809281Z","submitted_at":"2025-02-04T06:19:44Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K\\\"ahler metrics","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-09T13:43:47.771792Z"},"links":{"citing_paper":"/paper/2502.02041"},"observation_digest":"sha256:6508c5eb2e501051bb92973a7f02e096c58dd21650fc9f32c32091785187aeec","observation_id":"4a8b7ac0-fdca-4bce-b500-5e7c6770e23c","resolution":{"observed_at":"2026-08-09T13:43:48.190662Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T13:43:47.776215Z","title":"K-stability and K¨ ahler-Einstein metrics, Comm","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2502.02041","last_updated":"2025-02-04T06:19:44Z","snapshot_observed_at":"2026-08-09T13:32:08.809281Z","submitted_at":"2025-02-04T06:19:44Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K\\\"ahler metrics","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-09T13:43:47.776215Z"},"links":{"citing_paper":"/paper/2502.02041"},"observation_digest":"sha256:5177892023f7b3d0b58d7af183ed2df2e2be1b50b6550b56b50c4887e5cab190","observation_id":"dbf121c1-4fc6-4bdf-8ca8-684da0df2e3a","resolution":{"observed_at":"2026-08-09T13:43:47.776215Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.14680","last_updated":"2024-06-05T12:06:22Z","snapshot_observed_at":"2026-08-06T14:34:30.593775Z","submitted_at":"2024-05-23T15:14:11Z","title":"Uniform diameter estimates for Kaehler metrics","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.14680","snapshot_observed_at":"2026-08-09T13:43:47.780591Z","title":"Uniform diameter estimates for K¨ ahler metrics, arXiv:2405.14680","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2502.02041","last_updated":"2025-02-04T06:19:44Z","snapshot_observed_at":"2026-08-09T13:32:08.809281Z","submitted_at":"2025-02-04T06:19:44Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K\\\"ahler metrics","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-09T13:43:47.780591Z"},"links":{"cited_paper":"/paper/2405.14680","citing_paper":"/paper/2502.02041"},"observation_digest":"sha256:7c8e210c229a36479aa85a693111a2dede058008bb55b7c890eddc3616b270b1","observation_id":"20c8790c-b69e-4f5a-9365-670abd3a1b4d","resolution":{"observed_at":"2026-08-09T13:43:47.780591Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T13:43:48.161875Z","title":"On the Ricci curvature of a compact K¨ ahler manifold and comp lex Monge-Amp` ere equation I, Comm","venue":null,"work_id":"c416c280-0894-401a-bb56-5ce0adafb5f5","year":1978},"citing_paper":{"arxiv_id":"2502.02041","last_updated":"2025-02-04T06:19:44Z","snapshot_observed_at":"2026-08-09T13:32:08.809281Z","submitted_at":"2025-02-04T06:19:44Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K\\\"ahler metrics","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-09T13:43:47.784954Z"},"links":{"citing_paper":"/paper/2502.02041"},"observation_digest":"sha256:2d16f3274c010a6bc7c116e2043f0c77ea07039f198b59cdea28724d4dc327f3","observation_id":"0a7800c5-5582-4fc7-9dac-e5991e1c49e6","resolution":{"observed_at":"2026-08-09T13:43:48.166566Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-09T13:43:48.146973Z","title":"On degenerate Monge-Amp` ere equations over closed K¨ ahler manifolds, Int","venue":null,"work_id":"2f5e698a-8a58-4427-835b-ef2bf51e551e","year":2006},"citing_paper":{"arxiv_id":"2502.02041","last_updated":"2025-02-04T06:19:44Z","snapshot_observed_at":"2026-08-09T13:32:08.809281Z","submitted_at":"2025-02-04T06:19:44Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K\\\"ahler metrics","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-09T13:43:47.789173Z"},"links":{"citing_paper":"/paper/2502.02041"},"observation_digest":"sha256:10b05ba195f9b2bcc2f1f5d5a1b66225484bddc075cc3e8123398aba12905673","observation_id":"64ad32d1-92b3-447f-abdf-2d16476c203d","resolution":{"observed_at":"2026-08-09T13:43:48.151867Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2205.14726","last_updated":"2022-05-29T17:42:00Z","snapshot_observed_at":"2026-07-06T13:15:10.457884Z","submitted_at":"2022-05-29T17:42:00Z","title":"Singular scalar curvature equations","version":1},"cited_work":{"arxiv_id":"2205.14726","doi":null,"metadata_source":"pith","pith_arxiv_id":"2205.14726","snapshot_observed_at":"2026-08-09T13:43:47.829398Z","title":"Singular scalar curvature equations","venue":"math.DG","work_id":"b20567c5-1040-4914-b255-77d70c5dbe78","year":2022},"citing_paper":{"arxiv_id":"2502.02041","last_updated":"2025-02-04T06:19:44Z","snapshot_observed_at":"2026-08-09T13:32:08.809281Z","submitted_at":"2025-02-04T06:19:44Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K\\\"ahler metrics","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-09T13:43:47.793352Z"},"links":{"cited_paper":"/paper/2205.14726","citing_paper":"/paper/2502.02041"},"observation_digest":"sha256:30b97cfce046b1c3385eef0865eaeed8a44caa5523cdab16fde5532d34a6ed4d","observation_id":"dd2e0e33-624e-43cf-a521-531efa23845a","resolution":{"observed_at":"2026-08-09T13:43:47.836289Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2502.02041","last_updated":"2025-02-04T06:19:44Z","latest_version":1,"primary_category":"math.DG","snapshot_observed_at":"2026-08-09T13:32:08.809281Z","submitted_at":"2025-02-04T06:19:44Z","title":"Nash entropy, Calabi energy and geometric regularization of singular K\\\"ahler metrics"},"reference_resolution":{"displayed":50,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":11,"verified_exact":3,"verified_fuzzy":36},"total_outbound_references":50},"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":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 50 of 50 outbound references and 4 inbound Pith citation observations for arXiv:2502.02041."}