{"as_of":"2026-08-08T23:06:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:1d0e8bb65d66decac885b5ec9dace0867700d7d0f49fbe526a291a0466e1dfc7","coverage":[{"denominator":48,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":48,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-03T14:52:16.506293Z","state":"measured"},{"denominator":49,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":49,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T19:47:55.225014Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2512.19457","last_updated":"2026-05-26T07:40:29Z","snapshot_observed_at":"2026-08-06T14:25:17.735959Z","submitted_at":"2025-12-22T15:03:08Z","title":"Spectral Shrinkage of Gaussian Entropic Optimal Transport","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2512.19457","snapshot_observed_at":"2026-08-01T19:47:55.225014Z","title":"Spectral shrinkage of Gaussian entropic optimal transport, 2025","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.16881","last_updated":"2026-07-18T16:43:29Z","snapshot_observed_at":"2026-08-08T12:35:12.082461Z","submitted_at":"2026-07-18T16:43:29Z","title":"Entropic optimal transport need not select a zero-temperature limit","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-01T19:47:55.225014Z"},"links":{"cited_paper":"/paper/2512.19457","citing_paper":"/paper/2607.16881"},"observation_digest":"sha256:bf786626b29ae4d4de1343fad8deb1d3178fa7681c0e6870af6b9c814aac1b3c","observation_id":"8d96f502-ad49-4861-81b0-07b1992b9f93","resolution":{"observed_at":"2026-08-01T19:47:55.225014Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2512.19457/citation-record","integrity":"/paper/2512.19457/integrity","json":"/paper/2512.19457/citation-record.json","paper":"/paper/2512.19457"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T14:52:13.389935Z","title":null,"venue":null,"work_id":null,"year":1970},"citing_paper":{"arxiv_id":"2512.19457","last_updated":"2026-05-26T07:40:29Z","snapshot_observed_at":"2026-08-06T14:25:17.735959Z","submitted_at":"2025-12-22T15:03:08Z","title":"Spectral Shrinkage of Gaussian Entropic Optimal Transport","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:13.389935Z"},"links":{"citing_paper":"/paper/2512.19457"},"observation_digest":"sha256:32e1243ffdfe3b1cbbaaea4e52fc25f55d78c16baaa85fc962ef6bdcc2c18577","observation_id":"04116b1f-a0ea-4650-8c53-c9e5f122e486","resolution":{"observed_at":"2026-08-03T14:52:13.389935Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T14:52:13.449592Z","title":"and Lim, Y","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2512.19457","last_updated":"2026-05-26T07:40:29Z","snapshot_observed_at":"2026-08-06T14:25:17.735959Z","submitted_at":"2025-12-22T15:03:08Z","title":"Spectral Shrinkage of Gaussian Entropic Optimal Transport","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:13.449592Z"},"links":{"citing_paper":"/paper/2512.19457"},"observation_digest":"sha256:e7fb0ad0a995a7d9908118075e4aa885c3dfa717c381965d50d714e2b81f8d17","observation_id":"7ec01f04-356b-4a3a-adf7-0ba7a1846370","resolution":{"observed_at":"2026-08-03T14:52:13.449592Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T14:52:13.507843Z","title":null,"venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2512.19457","last_updated":"2026-05-26T07:40:29Z","snapshot_observed_at":"2026-08-06T14:25:17.735959Z","submitted_at":"2025-12-22T15:03:08Z","title":"Spectral Shrinkage of Gaussian Entropic Optimal Transport","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:13.507843Z"},"links":{"citing_paper":"/paper/2512.19457"},"observation_digest":"sha256:776c54775a3b3921454250bf0b9da68c7d9519c45ca68d575ceeffadccf1bca9","observation_id":"d72b5962-79a5-4353-bc13-9dc19f8eb850","resolution":{"observed_at":"2026-08-03T14:52:13.507843Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T14:52:13.528318Z","title":"and Krause, A","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2512.19457","last_updated":"2026-05-26T07:40:29Z","snapshot_observed_at":"2026-08-06T14:25:17.735959Z","submitted_at":"2025-12-22T15:03:08Z","title":"Spectral Shrinkage of Gaussian Entropic Optimal Transport","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:13.528318Z"},"links":{"citing_paper":"/paper/2512.19457"},"observation_digest":"sha256:0fdc59dbf08b12bf7f390aba7a28dba44e63c46d40279bde5aa85c5773d45afc","observation_id":"628567f9-dc49-41d6-b5e2-6e57d39cfb00","resolution":{"observed_at":"2026-08-03T14:52:13.528318Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T14:52:13.581484Z","title":"and Schmitzer, B","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2512.19457","last_updated":"2026-05-26T07:40:29Z","snapshot_observed_at":"2026-08-06T14:25:17.735959Z","submitted_at":"2025-12-22T15:03:08Z","title":"Spectral Shrinkage of Gaussian Entropic Optimal Transport","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:13.581484Z"},"links":{"citing_paper":"/paper/2512.19457"},"observation_digest":"sha256:80eb7616af02af6ea5b09df4409f148f95b338845020fd756b0d5a6f8b925ef8","observation_id":"26113228-836b-47e3-aaca-a9470c370f36","resolution":{"observed_at":"2026-08-03T14:52:13.581484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T14:52:13.636877Z","title":"and Tamanini, L","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2512.19457","last_updated":"2026-05-26T07:40:29Z","snapshot_observed_at":"2026-08-06T14:25:17.735959Z","submitted_at":"2025-12-22T15:03:08Z","title":"Spectral Shrinkage of Gaussian Entropic Optimal Transport","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:13.636877Z"},"links":{"citing_paper":"/paper/2512.19457"},"observation_digest":"sha256:bb86e24e6dcf88e95fa3e9fe791a79cc215105ebea8fe1efedd2b0d1b9cb4285","observation_id":"100c860f-8153-460f-905c-6b60e6a6b3ed","resolution":{"observed_at":"2026-08-03T14:52:13.636877Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T14:52:13.733263Z","title":", Georgiou, T","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2512.19457","last_updated":"2026-05-26T07:40:29Z","snapshot_observed_at":"2026-08-06T14:25:17.735959Z","submitted_at":"2025-12-22T15:03:08Z","title":"Spectral Shrinkage of Gaussian Entropic Optimal Transport","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:13.733263Z"},"links":{"citing_paper":"/paper/2512.19457"},"observation_digest":"sha256:f71d6436f383716b20c4953d3bc262bb22df1a78790cfecb35bfd6aa75e3c884","observation_id":"b98ea55c-13c6-43a6-9bf7-e6339b574e12","resolution":{"observed_at":"2026-08-03T14:52:13.733263Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T14:52:13.773103Z","title":"and Peyr´e, G","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2512.19457","last_updated":"2026-05-26T07:40:29Z","snapshot_observed_at":"2026-08-06T14:25:17.735959Z","submitted_at":"2025-12-22T15:03:08Z","title":"Spectral Shrinkage of Gaussian Entropic Optimal Transport","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:13.773103Z"},"links":{"citing_paper":"/paper/2512.19457"},"observation_digest":"sha256:81e9541104a63f7d3dd6f9abd553d16b0ccab4aaf773cdebfc1d2d7862c2efdd","observation_id":"0e03c814-0fa7-4270-9c71-bc5732edbe1a","resolution":{"observed_at":"2026-08-03T14:52:13.773103Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T14:52:13.849466Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2512.19457","last_updated":"2026-05-26T07:40:29Z","snapshot_observed_at":"2026-08-06T14:25:17.735959Z","submitted_at":"2025-12-22T15:03:08Z","title":"Spectral Shrinkage of Gaussian Entropic Optimal Transport","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:13.849466Z"},"links":{"citing_paper":"/paper/2512.19457"},"observation_digest":"sha256:208a987f4325f1a579eb641252d5685e92a2c44eecc5a02044dd4d7c0398cd8c","observation_id":"515016db-9163-4af1-953c-6b8944a4661d","resolution":{"observed_at":"2026-08-03T14:52:13.849466Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T14:52:13.978555Z","title":null,"venue":null,"work_id":null,"year":1975},"citing_paper":{"arxiv_id":"2512.19457","last_updated":"2026-05-26T07:40:29Z","snapshot_observed_at":"2026-08-06T14:25:17.735959Z","submitted_at":"2025-12-22T15:03:08Z","title":"Spectral Shrinkage of Gaussian Entropic Optimal Transport","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:13.978555Z"},"links":{"citing_paper":"/paper/2512.19457"},"observation_digest":"sha256:b94fb7dbcc4797dfc2c863d1e7999d1655c4ceeb3d96b0e15fc6a1d53a798db6","observation_id":"8ce40804-bfc4-4fe6-979b-1dd3c1e5f3a9","resolution":{"observed_at":"2026-08-03T14:52:13.978555Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T14:52:14.161849Z","title":null,"venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2512.19457","last_updated":"2026-05-26T07:40:29Z","snapshot_observed_at":"2026-08-06T14:25:17.735959Z","submitted_at":"2025-12-22T15:03:08Z","title":"Spectral Shrinkage of Gaussian Entropic Optimal Transport","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:14.161849Z"},"links":{"citing_paper":"/paper/2512.19457"},"observation_digest":"sha256:f6ae378c79fd4bd5fc52ebb264016a17abd7eacd6d81f279b8f210d41bfb6ce7","observation_id":"5165d542-b981-42ed-87ab-b82ad034a4c7","resolution":{"observed_at":"2026-08-03T14:52:14.161849Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T14:52:14.217229Z","title":null,"venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2512.19457","last_updated":"2026-05-26T07:40:29Z","snapshot_observed_at":"2026-08-06T14:25:17.735959Z","submitted_at":"2025-12-22T15:03:08Z","title":"Spectral Shrinkage of Gaussian Entropic Optimal Transport","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:14.217229Z"},"links":{"citing_paper":"/paper/2512.19457"},"observation_digest":"sha256:a173ab8b503b20d91ca6691eeae9045685b020281f050701641648f5e6bdbe5f","observation_id":"18f2c4a5-8113-4d0f-a3f3-abde58f18fcb","resolution":{"observed_at":"2026-08-03T14:52:14.217229Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T14:52:14.257848Z","title":null,"venue":null,"work_id":null,"year":1966},"citing_paper":{"arxiv_id":"2512.19457","last_updated":"2026-05-26T07:40:29Z","snapshot_observed_at":"2026-08-06T14:25:17.735959Z","submitted_at":"2025-12-22T15:03:08Z","title":"Spectral Shrinkage of Gaussian Entropic Optimal Transport","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:14.257848Z"},"links":{"citing_paper":"/paper/2512.19457"},"observation_digest":"sha256:1f9fa38a53e67f364680af2cb6ba602cf6791de437c498e0063d21bde7d6668f","observation_id":"56484498-db48-4125-a7b8-1a27772b675c","resolution":{"observed_at":"2026-08-03T14:52:14.257848Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T14:52:14.346271Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2512.19457","last_updated":"2026-05-26T07:40:29Z","snapshot_observed_at":"2026-08-06T14:25:17.735959Z","submitted_at":"2025-12-22T15:03:08Z","title":"Spectral Shrinkage of Gaussian Entropic Optimal Transport","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:14.346271Z"},"links":{"citing_paper":"/paper/2512.19457"},"observation_digest":"sha256:78f3a642cd2eff1092cf50988444afe5ab58b2404d9cae331464a53403b6017d","observation_id":"197a70bb-d21d-44f1-afc6-99c2240deab4","resolution":{"observed_at":"2026-08-03T14:52:14.346271Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T14:52:14.407749Z","title":"and Nutz, M","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2512.19457","last_updated":"2026-05-26T07:40:29Z","snapshot_observed_at":"2026-08-06T14:25:17.735959Z","submitted_at":"2025-12-22T15:03:08Z","title":"Spectral Shrinkage of Gaussian Entropic Optimal Transport","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:14.407749Z"},"links":{"citing_paper":"/paper/2512.19457"},"observation_digest":"sha256:cd046e3599148c7053e713ae8959e0428730c44d419e2b76c885314d7978b56f","observation_id":"b7ec59b8-99a1-4a07-89ba-c5da6a56cbc9","resolution":{"observed_at":"2026-08-03T14:52:14.407749Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2507.01709","last_updated":"2026-04-09T10:20:44Z","snapshot_observed_at":"2026-08-01T21:55:31.196466Z","submitted_at":"2025-07-02T13:40:21Z","title":"Entropic optimal transport beyond product reference couplings: the Gaussian case on Euclidean space","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2507.01709","snapshot_observed_at":"2026-08-03T14:52:14.484978Z","title":", Georgakis, N","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2512.19457","last_updated":"2026-05-26T07:40:29Z","snapshot_observed_at":"2026-08-06T14:25:17.735959Z","submitted_at":"2025-12-22T15:03:08Z","title":"Spectral Shrinkage of Gaussian Entropic Optimal Transport","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:14.484978Z"},"links":{"cited_paper":"/paper/2507.01709","citing_paper":"/paper/2512.19457"},"observation_digest":"sha256:70e2b04686a11ed915dd13c090b21fd5f92ca2e4299edea23529b46a5693d229","observation_id":"456ee23d-b191-4d8a-86f7-6191b71c6818","resolution":{"observed_at":"2026-08-03T14:52:14.484978Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T14:52:14.550077Z","title":null,"venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2512.19457","last_updated":"2026-05-26T07:40:29Z","snapshot_observed_at":"2026-08-06T14:25:17.735959Z","submitted_at":"2025-12-22T15:03:08Z","title":"Spectral Shrinkage of Gaussian Entropic Optimal Transport","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:14.550077Z"},"links":{"citing_paper":"/paper/2512.19457"},"observation_digest":"sha256:f8feb73feba5c298a73c533379f1e5f0a3507adecff656f5dad59e3c8f0f6d8b","observation_id":"3144b807-53d2-4929-a460-789a392eecc6","resolution":{"observed_at":"2026-08-03T14:52:14.550077Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T14:52:14.651831Z","title":"and Peyr´e, G","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2512.19457","last_updated":"2026-05-26T07:40:29Z","snapshot_observed_at":"2026-08-06T14:25:17.735959Z","submitted_at":"2025-12-22T15:03:08Z","title":"Spectral Shrinkage of Gaussian Entropic Optimal Transport","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:14.651831Z"},"links":{"citing_paper":"/paper/2512.19457"},"observation_digest":"sha256:9b782a592b1e609c5961231b28213ead10d49a01e61e5ac6e245a6f8135f40a7","observation_id":"d749d171-38fc-4733-bb18-0c5dd2484e0a","resolution":{"observed_at":"2026-08-03T14:52:14.651831Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T14:52:14.711937Z","title":"and Nutz, M","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2512.19457","last_updated":"2026-05-26T07:40:29Z","snapshot_observed_at":"2026-08-06T14:25:17.735959Z","submitted_at":"2025-12-22T15:03:08Z","title":"Spectral Shrinkage of Gaussian Entropic Optimal Transport","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:14.711937Z"},"links":{"citing_paper":"/paper/2512.19457"},"observation_digest":"sha256:fa12eec69e1404e0f191877c5f824665f2daddf72b12f78c1a378786bcc13ae1","observation_id":"ef5857e7-cc5d-4ce1-9bb3-50c15cfe750c","resolution":{"observed_at":"2026-08-03T14:52:14.711937Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T14:52:14.799955Z","title":", Nutz, M","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2512.19457","last_updated":"2026-05-26T07:40:29Z","snapshot_observed_at":"2026-08-06T14:25:17.735959Z","submitted_at":"2025-12-22T15:03:08Z","title":"Spectral Shrinkage of Gaussian Entropic Optimal Transport","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:14.799955Z"},"links":{"citing_paper":"/paper/2512.19457"},"observation_digest":"sha256:0d428cff16f9135a6203a94af86d7bf36fe00d1314a2bc31dc1cfe3ccb1e5409","observation_id":"db8463d2-33fb-43ba-acdf-c3ca25d911c8","resolution":{"observed_at":"2026-08-03T14:52:14.799955Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T14:52:14.859098Z","title":"and Krupnik, N","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2512.19457","last_updated":"2026-05-26T07:40:29Z","snapshot_observed_at":"2026-08-06T14:25:17.735959Z","submitted_at":"2025-12-22T15:03:08Z","title":"Spectral Shrinkage of Gaussian Entropic Optimal Transport","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:14.859098Z"},"links":{"citing_paper":"/paper/2512.19457"},"observation_digest":"sha256:b0de862da53f05b26323ab9402f5413a627968ffcf70f5dabe3939e19dc2c543","observation_id":"08947b35-d570-4310-ac52-e6c4ac102a80","resolution":{"observed_at":"2026-08-03T14:52:14.859098Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T14:52:14.893243Z","title":"and Krein, M","venue":null,"work_id":null,"year":1978},"citing_paper":{"arxiv_id":"2512.19457","last_updated":"2026-05-26T07:40:29Z","snapshot_observed_at":"2026-08-06T14:25:17.735959Z","submitted_at":"2025-12-22T15:03:08Z","title":"Spectral Shrinkage of Gaussian Entropic Optimal Transport","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:14.893243Z"},"links":{"citing_paper":"/paper/2512.19457"},"observation_digest":"sha256:2a62855952ff7fdbaf10c5fe66605e3ba356507db1988e4ed3cc8fc9d5cb1873","observation_id":"82c1cf07-79bd-4dca-ae45-248d3ba278e9","resolution":{"observed_at":"2026-08-03T14:52:14.893243Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T14:52:14.954953Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2512.19457","last_updated":"2026-05-26T07:40:29Z","snapshot_observed_at":"2026-08-06T14:25:17.735959Z","submitted_at":"2025-12-22T15:03:08Z","title":"Spectral Shrinkage of Gaussian Entropic Optimal Transport","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:14.954953Z"},"links":{"citing_paper":"/paper/2512.19457"},"observation_digest":"sha256:160749ec0527bc8d5bb32a9b7d49e8ba597b6b148d570fe9a56ddf4df9075af9","observation_id":"a819f738-d0bd-4b37-bab7-c6e253b416f9","resolution":{"observed_at":"2026-08-03T14:52:14.954953Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T14:52:15.017888Z","title":"and Greenewald, K","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2512.19457","last_updated":"2026-05-26T07:40:29Z","snapshot_observed_at":"2026-08-06T14:25:17.735959Z","submitted_at":"2025-12-22T15:03:08Z","title":"Spectral Shrinkage of Gaussian Entropic Optimal Transport","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:15.017888Z"},"links":{"citing_paper":"/paper/2512.19457"},"observation_digest":"sha256:a561cb3717be90c5e95957a78ba82a3205ea9a8a521eaa6f32412b4452f398c5","observation_id":"e8deec59-1d41-475d-a1ca-26276b40f7a9","resolution":{"observed_at":"2026-08-03T14:52:15.017888Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0907.4178","last_updated":"2023-07-03T14:55:53Z","snapshot_observed_at":"2026-07-06T01:58:46.753342Z","submitted_at":"2009-07-23T22:05:19Z","title":"An Introduction to Stochastic PDEs","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0907.4178","snapshot_observed_at":"2026-08-03T14:52:15.061840Z","title":null,"venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2512.19457","last_updated":"2026-05-26T07:40:29Z","snapshot_observed_at":"2026-08-06T14:25:17.735959Z","submitted_at":"2025-12-22T15:03:08Z","title":"Spectral Shrinkage of Gaussian Entropic Optimal Transport","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:15.061840Z"},"links":{"cited_paper":"/paper/0907.4178","citing_paper":"/paper/2512.19457"},"observation_digest":"sha256:0bb9fc80c479a7bb282f93f54d96cde87049363eb7386787069a64fedab344db","observation_id":"ccb2afca-2dbb-40e6-bc2f-45b350581918","resolution":{"observed_at":"2026-08-03T14:52:15.061840Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T14:52:15.103883Z","title":null,"venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2512.19457","last_updated":"2026-05-26T07:40:29Z","snapshot_observed_at":"2026-08-06T14:25:17.735959Z","submitted_at":"2025-12-22T15:03:08Z","title":"Spectral Shrinkage of Gaussian Entropic Optimal Transport","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:15.103883Z"},"links":{"citing_paper":"/paper/2512.19457"},"observation_digest":"sha256:1952bb1f83b6ba4c717d560cedf1d7dfc0568e21c06788e55935ea1b44f85b05","observation_id":"17202565-159e-4b4b-82ef-5a3ec5c42e89","resolution":{"observed_at":"2026-08-03T14:52:15.103883Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T14:52:15.148175Z","title":", Peyr´e, G","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2512.19457","last_updated":"2026-05-26T07:40:29Z","snapshot_observed_at":"2026-08-06T14:25:17.735959Z","submitted_at":"2025-12-22T15:03:08Z","title":"Spectral Shrinkage of Gaussian Entropic Optimal Transport","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:15.148175Z"},"links":{"citing_paper":"/paper/2512.19457"},"observation_digest":"sha256:5b7a925101d7f588b4e32441c457d978592923e734cf51b72de89aaebef1bf19","observation_id":"be291d52-d654-478f-a563-ea7492c249eb","resolution":{"observed_at":"2026-08-03T14:52:15.148175Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T14:52:15.199402Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2512.19457","last_updated":"2026-05-26T07:40:29Z","snapshot_observed_at":"2026-08-06T14:25:17.735959Z","submitted_at":"2025-12-22T15:03:08Z","title":"Spectral Shrinkage of Gaussian Entropic Optimal Transport","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:15.199402Z"},"links":{"citing_paper":"/paper/2512.19457"},"observation_digest":"sha256:79d94079831ee089ee340ef10f02f81d3c1cf20153004d0364c1c21d383cdbe8","observation_id":"1655f0f6-ba59-48cf-90d7-ec4f29eeee38","resolution":{"observed_at":"2026-08-03T14:52:15.199402Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T14:52:15.229153Z","title":"and Minh, H","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2512.19457","last_updated":"2026-05-26T07:40:29Z","snapshot_observed_at":"2026-08-06T14:25:17.735959Z","submitted_at":"2025-12-22T15:03:08Z","title":"Spectral Shrinkage of Gaussian Entropic Optimal Transport","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:15.229153Z"},"links":{"citing_paper":"/paper/2512.19457"},"observation_digest":"sha256:9816a14906d5544b3292ac28712c9f8c6f20c124d81e65e58e61e9aa1382fde6","observation_id":"2555400d-7e7c-4ebb-a43b-bb1d86e374b7","resolution":{"observed_at":"2026-08-03T14:52:15.229153Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T14:52:15.262843Z","title":", Panaretos, V","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2512.19457","last_updated":"2026-05-26T07:40:29Z","snapshot_observed_at":"2026-08-06T14:25:17.735959Z","submitted_at":"2025-12-22T15:03:08Z","title":"Spectral Shrinkage of Gaussian Entropic Optimal Transport","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:15.262843Z"},"links":{"citing_paper":"/paper/2512.19457"},"observation_digest":"sha256:ccdaecfefdbe82e1ac13f87b14de0b1956a0d94cc1a459b308ab1938853da085","observation_id":"6cf7c66c-f918-4680-9bd9-e0e05ad887d2","resolution":{"observed_at":"2026-08-03T14:52:15.262843Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T14:52:15.311406Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2512.19457","last_updated":"2026-05-26T07:40:29Z","snapshot_observed_at":"2026-08-06T14:25:17.735959Z","submitted_at":"2025-12-22T15:03:08Z","title":"Spectral Shrinkage of Gaussian Entropic Optimal Transport","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:15.311406Z"},"links":{"citing_paper":"/paper/2512.19457"},"observation_digest":"sha256:c0e1bcd347956340b0405eb2f23a08d1f6ef5b58b6c7cb2638d17d4bbe02b5a1","observation_id":"58c418c5-d99d-451d-9997-e02347832ea6","resolution":{"observed_at":"2026-08-03T14:52:15.311406Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T14:52:15.374391Z","title":"and Wiesel, J","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2512.19457","last_updated":"2026-05-26T07:40:29Z","snapshot_observed_at":"2026-08-06T14:25:17.735959Z","submitted_at":"2025-12-22T15:03:08Z","title":"Spectral Shrinkage of Gaussian Entropic Optimal Transport","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:15.374391Z"},"links":{"citing_paper":"/paper/2512.19457"},"observation_digest":"sha256:777428e3196913a265b44a4c14979031a2e67e43592708dcf7628d13a70f98c1","observation_id":"693573a6-a813-44c2-860a-d3f728dc107e","resolution":{"observed_at":"2026-08-03T14:52:15.374391Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1905.12206","last_updated":"2019-10-11T06:44:22Z","snapshot_observed_at":"2026-08-06T08:56:38.857922Z","submitted_at":"2019-05-29T04:15:03Z","title":"On the difference between entropic cost and the optimal transport cost","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1905.12206","snapshot_observed_at":"2026-08-03T14:52:15.422444Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2512.19457","last_updated":"2026-05-26T07:40:29Z","snapshot_observed_at":"2026-08-06T14:25:17.735959Z","submitted_at":"2025-12-22T15:03:08Z","title":"Spectral Shrinkage of Gaussian Entropic Optimal Transport","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:15.422444Z"},"links":{"cited_paper":"/paper/1905.12206","citing_paper":"/paper/2512.19457"},"observation_digest":"sha256:7e6b984d1cf2c8d3c30e97229a52e67bc63bfb7320f0180da96ea8b3ee2ad2cb","observation_id":"e09f7330-ee21-451a-84ea-f5333d8cd50e","resolution":{"observed_at":"2026-08-03T14:52:15.422444Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T14:52:15.510611Z","title":"M.and Zemel, Y","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2512.19457","last_updated":"2026-05-26T07:40:29Z","snapshot_observed_at":"2026-08-06T14:25:17.735959Z","submitted_at":"2025-12-22T15:03:08Z","title":"Spectral Shrinkage of Gaussian Entropic Optimal Transport","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:15.510611Z"},"links":{"citing_paper":"/paper/2512.19457"},"observation_digest":"sha256:3a55f819bfe828064b18a7472ba36804334c19b1442d3d0fe996c22d5d1033ed","observation_id":"429c8c27-1eff-406c-a493-692024aeb9d7","resolution":{"observed_at":"2026-08-03T14:52:15.510611Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T14:52:15.550155Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2512.19457","last_updated":"2026-05-26T07:40:29Z","snapshot_observed_at":"2026-08-06T14:25:17.735959Z","submitted_at":"2025-12-22T15:03:08Z","title":"Spectral Shrinkage of Gaussian Entropic Optimal Transport","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:15.550155Z"},"links":{"citing_paper":"/paper/2512.19457"},"observation_digest":"sha256:64a69b1d339382d0d192f9655212f6edce0320ad4b515d8f2c5ffd00e84e01b4","observation_id":"0d66500c-49fe-461f-965e-011696cf4e4f","resolution":{"observed_at":"2026-08-03T14:52:15.550155Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T14:52:15.628562Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2512.19457","last_updated":"2026-05-26T07:40:29Z","snapshot_observed_at":"2026-08-06T14:25:17.735959Z","submitted_at":"2025-12-22T15:03:08Z","title":"Spectral Shrinkage of Gaussian Entropic Optimal Transport","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:15.628562Z"},"links":{"citing_paper":"/paper/2512.19457"},"observation_digest":"sha256:7976fe455838014b434a81ff4ce8d28224c8e2bfbe845b922520481921e8e9a4","observation_id":"b1f86a8f-4eb7-468d-9296-66af30bdc91e","resolution":{"observed_at":"2026-08-03T14:52:15.628562Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T14:52:15.714018Z","title":", Aston, J","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2512.19457","last_updated":"2026-05-26T07:40:29Z","snapshot_observed_at":"2026-08-06T14:25:17.735959Z","submitted_at":"2025-12-22T15:03:08Z","title":"Spectral Shrinkage of Gaussian Entropic Optimal Transport","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:15.714018Z"},"links":{"citing_paper":"/paper/2512.19457"},"observation_digest":"sha256:c6962563514d0d028cf7256a602bc564f3a9116a57074d9d2acbc704a845f0a5","observation_id":"b146cf77-278b-4a31-bf76-5bdfa0dfcd89","resolution":{"observed_at":"2026-08-03T14:52:15.714018Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T14:52:15.785448Z","title":null,"venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2512.19457","last_updated":"2026-05-26T07:40:29Z","snapshot_observed_at":"2026-08-06T14:25:17.735959Z","submitted_at":"2025-12-22T15:03:08Z","title":"Spectral Shrinkage of Gaussian Entropic Optimal Transport","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:15.785448Z"},"links":{"citing_paper":"/paper/2512.19457"},"observation_digest":"sha256:d305a413b729959a6f2c8a635df0f008cffe703fe22e42274d3b717dfd315c72","observation_id":"e670c9ab-fcad-405d-994c-6d756d7f48b6","resolution":{"observed_at":"2026-08-03T14:52:15.785448Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T14:52:15.879814Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2512.19457","last_updated":"2026-05-26T07:40:29Z","snapshot_observed_at":"2026-08-06T14:25:17.735959Z","submitted_at":"2025-12-22T15:03:08Z","title":"Spectral Shrinkage of Gaussian Entropic Optimal Transport","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:15.879814Z"},"links":{"citing_paper":"/paper/2512.19457"},"observation_digest":"sha256:be4f631c3568ae9ad1df4a3717650dcee5af409d2f194fa682a4dbc8aea86c61","observation_id":"f2019e7d-030e-4ecd-82cd-8e9267305cff","resolution":{"observed_at":"2026-08-03T14:52:15.879814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T14:52:15.950964Z","title":null,"venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2512.19457","last_updated":"2026-05-26T07:40:29Z","snapshot_observed_at":"2026-08-06T14:25:17.735959Z","submitted_at":"2025-12-22T15:03:08Z","title":"Spectral Shrinkage of Gaussian Entropic Optimal Transport","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:15.950964Z"},"links":{"citing_paper":"/paper/2512.19457"},"observation_digest":"sha256:0e6e6c4c4be127e1b1f6836e69adb064462f7dce0d09bc18efd0bbc958f9f91d","observation_id":"1407d549-4e63-4a88-86e2-56510ebe76a8","resolution":{"observed_at":"2026-08-03T14:52:15.950964Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T14:52:16.016296Z","title":"and Zemel, Y","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2512.19457","last_updated":"2026-05-26T07:40:29Z","snapshot_observed_at":"2026-08-06T14:25:17.735959Z","submitted_at":"2025-12-22T15:03:08Z","title":"Spectral Shrinkage of Gaussian Entropic Optimal Transport","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:16.016296Z"},"links":{"citing_paper":"/paper/2512.19457"},"observation_digest":"sha256:de74d109e262219f52cdcbb8911646520e6d489da7e0d157f8be74478cd0cdfc","observation_id":"60c89110-536c-403f-913b-72cbf43f08c9","resolution":{"observed_at":"2026-08-03T14:52:16.016296Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T14:52:16.115066Z","title":"For the other limit, let u = 1/(2x)","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2512.19457","last_updated":"2026-05-26T07:40:29Z","snapshot_observed_at":"2026-08-06T14:25:17.735959Z","submitted_at":"2025-12-22T15:03:08Z","title":"Spectral Shrinkage of Gaussian Entropic Optimal Transport","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:16.115066Z"},"links":{"citing_paper":"/paper/2512.19457"},"observation_digest":"sha256:1b06692e7db62cae0eb609eb758c11bd72e4f13735db6818e3402914ce657e18","observation_id":"7b42815b-7ab8-4fc7-921b-e1b1570692c9","resolution":{"observed_at":"2026-08-03T14:52:16.115066Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T14:52:16.201889Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2512.19457","last_updated":"2026-05-26T07:40:29Z","snapshot_observed_at":"2026-08-06T14:25:17.735959Z","submitted_at":"2025-12-22T15:03:08Z","title":"Spectral Shrinkage of Gaussian Entropic Optimal Transport","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:16.201889Z"},"links":{"citing_paper":"/paper/2512.19457"},"observation_digest":"sha256:289992f69c22e1132fa9eb24d0b15766c4acf006b6b12e991c0cdf16b8aabdaf","observation_id":"da1b3a2c-3bc2-4c9a-b968-24389dbea7ef","resolution":{"observed_at":"2026-08-03T14:52:16.201889Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T14:52:16.261491Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2512.19457","last_updated":"2026-05-26T07:40:29Z","snapshot_observed_at":"2026-08-06T14:25:17.735959Z","submitted_at":"2025-12-22T15:03:08Z","title":"Spectral Shrinkage of Gaussian Entropic Optimal Transport","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:16.261491Z"},"links":{"citing_paper":"/paper/2512.19457"},"observation_digest":"sha256:d56b58ccdec0e671fe235729281a1b026d84e9ea67ea4cafa6e27ff22c121aab","observation_id":"0e05066d-8ea9-4e06-8988-44ae6fbafb02","resolution":{"observed_at":"2026-08-03T14:52:16.261491Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T14:52:16.374547Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2512.19457","last_updated":"2026-05-26T07:40:29Z","snapshot_observed_at":"2026-08-06T14:25:17.735959Z","submitted_at":"2025-12-22T15:03:08Z","title":"Spectral Shrinkage of Gaussian Entropic Optimal Transport","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:16.374547Z"},"links":{"citing_paper":"/paper/2512.19457"},"observation_digest":"sha256:39f94e600d880fb40062916741d6b7f65e049ad96a987393af2602f1093caacb","observation_id":"48279919-64de-4e49-b3a0-ae7d1c546bc7","resolution":{"observed_at":"2026-08-03T14:52:16.374547Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T14:52:16.430523Z","title":"The limiting behavior of ψ is given by lim u↓0 ψ(u) = 1 4 , lim u↑∞ ψ(u) = 0","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2512.19457","last_updated":"2026-05-26T07:40:29Z","snapshot_observed_at":"2026-08-06T14:25:17.735959Z","submitted_at":"2025-12-22T15:03:08Z","title":"Spectral Shrinkage of Gaussian Entropic Optimal Transport","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:16.430523Z"},"links":{"citing_paper":"/paper/2512.19457"},"observation_digest":"sha256:5f03634d9f7b42d40ab7a593667577bd1393441f27a423a779cd3bc2a17bc6c5","observation_id":"d43ec6c0-a5fb-43e3-9cfb-fb8d46833fc0","resolution":{"observed_at":"2026-08-03T14:52:16.430523Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T14:52:16.473634Z","title":"We rewrite the scaled function solely in terms of u: xδε(x) ε = 1 2u 2 − r 2 1 + p 1 + u2 − u ! =: ψ(u)","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2512.19457","last_updated":"2026-05-26T07:40:29Z","snapshot_observed_at":"2026-08-06T14:25:17.735959Z","submitted_at":"2025-12-22T15:03:08Z","title":"Spectral Shrinkage of Gaussian Entropic Optimal Transport","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:16.473634Z"},"links":{"citing_paper":"/paper/2512.19457"},"observation_digest":"sha256:b582b29336cb8178f92a34d616b2c6a211d753259319aef66c6d176e08ce179b","observation_id":"0db6c192-a67e-48c4-9e63-972a9181edac","resolution":{"observed_at":"2026-08-03T14:52:16.473634Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T14:52:16.506293Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2512.19457","last_updated":"2026-05-26T07:40:29Z","snapshot_observed_at":"2026-08-06T14:25:17.735959Z","submitted_at":"2025-12-22T15:03:08Z","title":"Spectral Shrinkage of Gaussian Entropic Optimal Transport","version":2},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:16.506293Z"},"links":{"citing_paper":"/paper/2512.19457"},"observation_digest":"sha256:de20af8d3a4b78f94fda73cd7e5e12dc98ade8b2a16f56990bb162b447556022","observation_id":"e9a726ff-546c-4a71-8669-5c23ec34269a","resolution":{"observed_at":"2026-08-03T14:52:16.506293Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2512.19457","last_updated":"2026-05-26T07:40:29Z","latest_version":2,"primary_category":"math.OC","snapshot_observed_at":"2026-08-06T14:25:17.735959Z","submitted_at":"2025-12-22T15:03:08Z","title":"Spectral Shrinkage of Gaussian Entropic Optimal Transport"},"reference_resolution":{"displayed":48,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":48,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":48},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 1 inbound Pith citation observation for arXiv:2512.19457."}