{"as_of":"2026-08-12T18:23:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:17dbd421c05981aeee181c6de92b266b1a95a504491f13d234d6125a666f40dd","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":"2026-08-12T06:34:41.77262+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":"2026-08-12T03:21:54.824845Z","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:ffa7ba96613038f1dc2dda4058b89e13190efbfe1d71a4f29b83c8da25c73dcb","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":"2026-08-12T03:21:54.824845Z","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":"sha256:9143b039f6b2aa113d3ffbc4c5140dafb28695c5423555e63407d5481d72bccf","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":"2026-08-12T03:21:54.824845Z","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":"2026-08-12T03:21:42.720752Z","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:ddedee87b21bc118f3335bef9c8e1847947ea7422147fb697f040d982a39da70","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2502.02041","last_updated":"2025-02-04T06:19:44Z","snapshot_observed_at":"2026-08-12T03:21:54.824845Z","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":"sha256:1ede48fdc70b9ca42083a590093d040ea90664280381766ed7fb1924f7e01cf3","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":"2026-08-12T03:21:54.824845Z","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:f0c2c5ea39545a7eedb6b194a28e39025e37303223ded7707733ae784d57482f","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T03:21:54.824845Z","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":"sha256:446818360498a3114c3b4018d819eccf2fa21de664017c16e212ed411e9f7b9a","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T03:21:54.824845Z","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:fa3fecf4970cb58924f05e83a66cccda202920c06dd8898605a55692ee7d9ba0","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":"2026-08-12T03:21:54.824845Z","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:d9621061b9c03eb4f791ab8c9667b0cf2dfe989516a62588388007db7897266c","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T03:21:54.824845Z","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":"sha256:17c0f3800d09cbbdda36da21783726691aae429449493819adc5874f7f69750a","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T03:21:54.824845Z","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:bb659fb7e48198d2a5e7080f1036169f70a537ed07947b756d41248c6e39db69","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T03:21:54.824845Z","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":"sha256:2cf887cdc89edba3a6f220c84e86d6c9cde062d5a10fc5f9717a1f656f3cfe6d","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T03:21:54.824845Z","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":"sha256:5879ff63764182fd769c3d1f211247be908568e1ad42158b976a25d042f3d882","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T03:21:54.824845Z","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":"sha256:46ebb9249b184c883db902ea28429fed9aa469a79a8a4494fde7ca9e480ab591","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T03:21:54.824845Z","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":"sha256:3282bf01d1b3fa581d2fec088f863d5b8f4a2609e1ac3e405b87a0aac4ad35ef","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T03:21:54.824845Z","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:fd133818fe5d7b235c56e8cd53f50f980d8f72e9cd73087c6be876a2789458b3","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T03:21:54.824845Z","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:ec165b5357dce3d317bffe5036dd44d1f814b51a5166098bd734352d40615315","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T03:21:54.824845Z","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":"sha256:2538f39d674e01572c18d24bb32466a71ec6cdbc950a9654cf5d0c5fb1313665","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T03:21:54.824845Z","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":"sha256:607357196a01e1dad95a1f893e86216ad581182e44193d924142b093484b5e25","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T03:21:54.824845Z","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:f050d1b97fc18c0a1e0efa8a3f08800a581d77665a5eefd46e13e322e695de2b","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T03:21:54.824845Z","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":"sha256:91f12be55c5c74aae9cd0f4f8de05881f90009936e01b7f08a0ad979abd654e2","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T03:21:54.824845Z","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:bcb790b281e8b4668502f56e9ac2595fc00542d02c2ecbb55a8fbdb76c51839c","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T03:21:54.824845Z","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":"sha256:87c22597b60aa2c1ba2619fdb30f50442876a0dbdf18b2cb4fcaf338254e8087","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T03:21:54.824845Z","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":"sha256:6a7bc52ba8ee7132971d631e278a515927ce34cb96184b7fa03705b1e5e1c6df","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T03:21:54.824845Z","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":"sha256:43aa58a127cf039a47100164e8ae3e14217f9217db2d5e61cad555d342bd1e83","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T03:21:54.824845Z","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":"sha256:5da5cb322949f4d4808769c01c6eebb8aec6ac79d62c6fa3d0d796fe3e4264b0","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T03:21:54.824845Z","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":"sha256:6ff6fe770e13595b1100e6ced35d805910f9b077b244e7e58c46eaae79e44164","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T03:21:54.824845Z","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":"sha256:41873a303455eea3cc70d6b693cd31ed7370acf50dac10f92cfb66c89372a2c8","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":"2026-08-12T03:21:54.824845Z","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:cca3f3a8eb89180a032e872a19de4fabf1c10f31fa54a57e21ef0bf82cf07f44","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":"2026-08-12T03:21:54.824845Z","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:cba5c23c11ae0bc61d6ec0b03013ec72dfdc27bc8aaba3fb7a205e9faec17936","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T03:21:54.824845Z","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:a94840e5ef9a05bae6002663288f1aa53a89e2607189edac8f95c9162bf109d8","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":"2026-08-12T03:21:54.824845Z","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":"sha256:59b2d4fee09976d2d6f6ea4f16e1b2a2ba2e08d1fd29bb700b33a466d4a24a90","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T03:21:54.824845Z","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":"sha256:092c04cde08c8351b7c6379526d93eb887e161abc3e5ce7916005b1e93312315","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T03:21:54.824845Z","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":"sha256:0b07c99117370c060b43d34d4f8ff968cac1dffe3377ccfc0cb17e8dfb2a6a2e","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T03:21:54.824845Z","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":"sha256:87e68aa6ccb0cf473dd168f3776ae2e7c5f06a07d05ce36d7b6036318a50edba","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T03:21:54.824845Z","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":"sha256:68521912ecaddf08d4e04c5347ff67dfacea7281386fa15b066ab8f159fe4893","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T03:21:54.824845Z","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":"sha256:9067b4d1a0bf1c15e010691c90fa9d16201d45e631841b32d3e33f6ad4184fa8","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T03:21:54.824845Z","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":"sha256:737626196931c0b3fe0fd4c9bb259ce989bbaf2e40651f555906199ad9198b9e","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T03:21:54.824845Z","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":"sha256:2317c3191f732427e925f47f79ed0c7607b5753e9803b1000bfcccd8a6a4dead","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":"2026-08-12T03:21:54.824845Z","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:fef641ead147513b035ed3b4a0641459bb37bbc7d40789b06310b71a57a03cd5","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":"2026-08-12T03:21:54.824845Z","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":"sha256:1d656fcf927b4ae8720df095118629a03f546aa158239cf97c3b5d526164e848","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T03:21:54.824845Z","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":"sha256:69c7933eee3c641e1a6cf4ef82c488bc60b89ad0f21252851b1687bea8dad1d8","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T03:21:54.824845Z","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":"sha256:70f87a2eaf4b398e055657f4d0c267e80748c09c817b2d4580a31aa38d1d71d1","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T03:21:54.824845Z","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":"sha256:4a33054c33a00e3677fbb6b9fce0eb0f363ad6f39af10577563967d119337d05","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T03:21:54.824845Z","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":"sha256:7199bfe8be29feb711b8ce85eb7bd3d3af57c2df2c6aba82f8c06bae216d5111","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T03:21:54.824845Z","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:ed3dccc687feee580df0d3ead4e1b75eb11630a73a7d6e5f295ff116ded49684","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2408.10747","last_updated":"2024-12-11T19:10:29Z","snapshot_observed_at":"2026-08-12T03:21:43.195479Z","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":"2026-08-12T03:21:54.824845Z","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:b8de1c8fff498007de242d719a16067ef6c50d1157cced2a101c8c8f8a7d581d","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":"2026-08-12T03:21:54.824845Z","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:f9eed53886b42e38fd064c9fe773b896a2ec96adbfd544ab19dd75ea0f1eb3b5","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T03:21:54.824845Z","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":"sha256:2834d18bd91fef15fa8e1357058a679bc8f5577b05107914fbe662f43f2c74e5","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":"2026-08-12T03:21:54.824845Z","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:d8e3d0c94fa380206b6f2348491009c6ee59ee41b440c77c7b7d03a4e59b46d9","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T03:21:54.824845Z","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":"sha256:83132a349c142beaefcf9065597d5968a9a4b86c71a64180874bea3b8e59d0be","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":"2026-08-12T03:21:54.824845Z","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":"sha256:242cdf3300f2a777aeb1dca95c2f1d7212dd3e873d11bb4b59794b76ad50a67a","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":"2026-08-12T03:21:54.824845Z","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":"sha256:62a0776e43e68cf40fd59b00fc00c05f0a3755fd19a328cf6def30e10f3cbee8","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T03:21:54.824845Z","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":"sha256:77eb217284bcfb343f0e9f8862eb6ef7ec53bd115a424af39e8e650103888433","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2205.14726","last_updated":"2022-05-29T17:42:00Z","snapshot_observed_at":"2026-08-11T16:12:35.873424Z","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":"2026-08-12T03:21:54.824845Z","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:ad308d2b82aa92a481663bf00ee6a4920986abf7a4a8915855e703d867bf3f86","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T03:21:54.824845Z","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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 50 of 50 outbound references and 4 inbound Pith citation observations for arXiv:2502.02041."}