{"as_of":"2026-08-08T01:20:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:5eaa9c1ea9767db7270adab1f46acbe5208f3ebe800bd4aea69c53268359bab5","coverage":[{"denominator":57,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":57,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T10:19:46.422740Z","state":"measured"},{"denominator":59,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":59,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-02T12:03:42.662543Z","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":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2506.05723","snapshot_observed_at":"2026-08-02T12:03:42.662543Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.09434","last_updated":"2026-07-22T05:03:47Z","snapshot_observed_at":"2026-08-02T12:03:39.501756Z","submitted_at":"2026-06-08T12:44:13Z","title":"A transition-density-based operator learning method for Fokker-Planck equations with various initial conditions","version":2},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-02T12:03:42.662543Z"},"links":{"cited_paper":"/paper/2506.05723","citing_paper":"/paper/2606.09434"},"observation_digest":"sha256:339a959ab845a6aa3e17728c00766b94e40553ffb99c5e53aa2472cd9477e4cf","observation_id":"aa0cfc16-e7c7-4b54-b4cc-14b921249a9e","resolution":{"observed_at":"2026-08-02T12:03:42.662543Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2506.05723","snapshot_observed_at":"2026-07-14T03:39:49.437017Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.11718","last_updated":"2026-07-13T15:44:08Z","snapshot_observed_at":"2026-08-02T01:26:35.121447Z","submitted_at":"2026-07-13T15:44:08Z","title":"Inf-Sup Neural Networks for High Dimensional PDEs","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-07-14T03:39:49.437017Z"},"links":{"cited_paper":"/paper/2506.05723","citing_paper":"/paper/2607.11718"},"observation_digest":"sha256:b0857d7b58e792d3c76de0bcbbfa3d192b5306bdaa8972b6a60947a9a5efc407","observation_id":"d09c80e5-8f6d-4014-8007-47b014bdc275","resolution":{"observed_at":"2026-07-14T03:39:49.437017Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2506.05723/citation-record","integrity":"/paper/2506.05723/integrity","json":"/paper/2506.05723/citation-record.json","paper":"/paper/2506.05723"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:19:54.826409Z","title":null,"venue":null,"work_id":"16d0e355-2d6c-466a-9e8c-be8955790990","year":2023},"citing_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T10:19:41.799698Z"},"links":{"citing_paper":"/paper/2506.05723"},"observation_digest":"sha256:c7635fd2a60736c39ad1cde5b485623ccf706b3f008cd1236bc5d8d105ee0b57","observation_id":"a22ab44b-61d6-405d-b761-0b81325c22a2","resolution":{"observed_at":"2026-08-07T10:19:54.840395Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:19:54.592632Z","title":"Bertini, A","venue":null,"work_id":"6daabc68-c434-47f3-a0c2-9d682e847099","year":2015},"citing_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T10:19:41.827718Z"},"links":{"citing_paper":"/paper/2506.05723"},"observation_digest":"sha256:3d0085f53d34944e32f0ad31e4ea09d36ab7924cd8126bb6b3c20011a0418b57","observation_id":"64d1a7ad-f6e0-4bb3-bec8-febdef83b06a","resolution":{"observed_at":"2026-08-07T10:19:54.670501Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:19:54.414568Z","title":"Amari, Information geometry and its applications, Vol","venue":null,"work_id":"281a36c5-5bfc-40c7-8f57-527278127d67","year":2016},"citing_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T10:19:41.853545Z"},"links":{"citing_paper":"/paper/2506.05723"},"observation_digest":"sha256:a75361e17685643d48500b5354788599bf21644345c22f179e9ddfb6806783f3","observation_id":"862f8189-4248-46e2-8576-b49943b42f12","resolution":{"observed_at":"2026-08-07T10:19:54.468559Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:19:54.228549Z","title":null,"venue":null,"work_id":"003dcb35-52df-4152-be16-1e5595dd5c2f","year":2020},"citing_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T10:19:41.914283Z"},"links":{"citing_paper":"/paper/2506.05723"},"observation_digest":"sha256:34b37eaf08c4195e5859d07f40657445326638badf07e538c2d64c4fce5903ce","observation_id":"87468445-6e70-4154-9e2d-22b5a2293841","resolution":{"observed_at":"2026-08-07T10:19:54.329074Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:19:54.079723Z","title":"te Vrugt, H","venue":null,"work_id":"61a190eb-9b51-4fc7-a1c0-b38364e99b1e","year":2020},"citing_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T10:19:41.961872Z"},"links":{"citing_paper":"/paper/2506.05723"},"observation_digest":"sha256:fe062dd5b192cb6f935343859ea32fd7f16ec9df9394f00b2babc12ba0ffc5d1","observation_id":"90fccf66-b4e5-414f-af61-e4ddc0229ff4","resolution":{"observed_at":"2026-08-07T10:19:54.157247Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:19:53.891733Z","title":null,"venue":null,"work_id":"659680b5-f60d-43e5-82a3-66571de01f54","year":2021},"citing_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T10:19:42.025489Z"},"links":{"citing_paper":"/paper/2506.05723"},"observation_digest":"sha256:28557a97a44c9aefb3485b04b5d2751b72125efd069213e77559c6ac324dc83d","observation_id":"11fbfe6d-90bf-438d-ba53-e3ae6bfcedf9","resolution":{"observed_at":"2026-08-07T10:19:53.945412Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2107.04568","last_updated":"2021-07-09T17:40:11Z","snapshot_observed_at":"2026-08-05T18:38:28.345447Z","submitted_at":"2021-07-09T17:40:11Z","title":"Deep Learning for Mean Field Games and Mean Field Control with Applications to Finance","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2107.04568","snapshot_observed_at":"2026-08-07T10:19:42.100848Z","title":"Carmona, M","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T10:19:42.100848Z"},"links":{"cited_paper":"/paper/2107.04568","citing_paper":"/paper/2506.05723"},"observation_digest":"sha256:3a007cebfaf1ebe9986ae5f8bcdffac1b243a84da0313a869347548b24573eed","observation_id":"64617167-95f1-4516-8b65-e8630cb83aa2","resolution":{"observed_at":"2026-08-07T10:19:42.100848Z","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":"2026-08-07T10:19:53.593533Z","title":null,"venue":null,"work_id":"2e8fc1c9-1357-4b2d-a9f8-87d2a32c70e6","year":2023},"citing_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T10:19:42.170555Z"},"links":{"citing_paper":"/paper/2506.05723"},"observation_digest":"sha256:e9ed9fdce4806f8973e58e9c3fe25993b817b16ab66cdea1beaeca7cf2a44836","observation_id":"cf5eb5b0-f39e-484a-b667-db0a0a464ba2","resolution":{"observed_at":"2026-08-07T10:19:53.726057Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2303.08797","last_updated":"2025-10-09T00:43:44Z","snapshot_observed_at":"2026-07-06T15:03:52.079498Z","submitted_at":"2023-03-15T17:43:42Z","title":"Stochastic Interpolants: A Unifying Framework for Flows and Diffusions","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2303.08797","snapshot_observed_at":"2026-08-07T10:19:42.233811Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T10:19:42.233811Z"},"links":{"cited_paper":"/paper/2303.08797","citing_paper":"/paper/2506.05723"},"observation_digest":"sha256:f5e94921dc42b2d59317c23464cff93886a23d5c24726c9a9b6dcf395ae6e477","observation_id":"4917b164-3531-4f7b-8d74-3177d9fffbb2","resolution":{"observed_at":"2026-08-07T10:19:42.233811Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2502.03645","last_updated":"2025-02-05T22:18:33Z","snapshot_observed_at":"2026-08-05T11:27:59.102517Z","submitted_at":"2025-02-05T22:18:33Z","title":"MNE: overparametrized neural evolution with applications to diffusion processes and sampling","version":1},"cited_work":{"arxiv_id":"2502.03645","doi":null,"metadata_source":"pith","pith_arxiv_id":"2502.03645","snapshot_observed_at":"2026-08-07T10:19:47.186538Z","title":"MNE: overparametrized neural evolution with applications to diffusion processes and sampling","venue":"math.NA","work_id":"a0af885c-10b8-466e-af76-99283a09ebcb","year":2025},"citing_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T10:19:42.294406Z"},"links":{"cited_paper":"/paper/2502.03645","citing_paper":"/paper/2506.05723"},"observation_digest":"sha256:c4cbeacd52fe41020b4d4b9dd8fbb1a2c925e8e73adbacf06a65878facac6307","observation_id":"dddd8d9c-7b8b-446b-89f7-87a95f62016c","resolution":{"observed_at":"2026-08-07T10:19:47.224564Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:19:53.320315Z","title":"Rezende, S","venue":null,"work_id":"117132fb-f17a-4399-8712-45726b2c9a48","year":2015},"citing_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T10:19:42.384236Z"},"links":{"citing_paper":"/paper/2506.05723"},"observation_digest":"sha256:b680f5b708ef1a6073c66dc1cd03ff1a9cc0e64bdb27849a38f064b833abe2c2","observation_id":"67ce8307-82a6-4b86-8cae-af8c01d28064","resolution":{"observed_at":"2026-08-07T10:19:53.428783Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:19:42.449758Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T10:19:42.449758Z"},"links":{"citing_paper":"/paper/2506.05723"},"observation_digest":"sha256:4b733054e1ed3f9584f10de6703e54fe17d16563808ad7f24b9250101f907a51","observation_id":"ab396f75-d4f7-48ae-8e3d-37bbdda285e1","resolution":{"observed_at":"2026-08-07T10:19:42.449758Z","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":"2026-08-07T10:19:53.036866Z","title":null,"venue":null,"work_id":"de1230d0-4bcb-492c-b395-f6eb4d3f1457","year":2022},"citing_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T10:19:42.513926Z"},"links":{"citing_paper":"/paper/2506.05723"},"observation_digest":"sha256:02db05930f1adf47c07389ed3ec30f8194df9f1442c47c05dc0cf0d875b4c098","observation_id":"b64ad53d-b7f6-4039-a541-73c4ba4d0614","resolution":{"observed_at":"2026-08-07T10:19:53.178819Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2409.16471","last_updated":"2025-01-29T16:18:25Z","snapshot_observed_at":"2026-07-06T19:21:29.370574Z","submitted_at":"2024-09-24T21:45:55Z","title":"Score-based Neural Ordinary Differential Equations for Computing Mean Field Control Problems","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.16471","snapshot_observed_at":"2026-08-07T10:19:42.587745Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T10:19:42.587745Z"},"links":{"cited_paper":"/paper/2409.16471","citing_paper":"/paper/2506.05723"},"observation_digest":"sha256:4cb09482b060d05b17b8cfb01eec7573bdc2acc579acc4cb17aee8ea23723d7c","observation_id":"94fe53e0-7842-4d14-83dc-625bff978624","resolution":{"observed_at":"2026-08-07T10:19:42.587745Z","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":"2026-08-07T10:19:52.833409Z","title":"Ambrosio, N","venue":null,"work_id":"622824fe-1e8c-4a05-af5b-b0bbf7193fef","year":2008},"citing_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T10:19:42.700895Z"},"links":{"citing_paper":"/paper/2506.05723"},"observation_digest":"sha256:fd9f5d8a7175f477ad49980bb6acc2d91cd4265232049fd63f26d45ccdc93d5a","observation_id":"f1696a77-7ff9-4da2-949f-a65e52d629fa","resolution":{"observed_at":"2026-08-07T10:19:52.930844Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:19:52.679316Z","title":"Jordan, D","venue":null,"work_id":"ec9720f8-6232-4fae-b585-20679339c808","year":1998},"citing_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T10:19:42.800992Z"},"links":{"citing_paper":"/paper/2506.05723"},"observation_digest":"sha256:8246137ba3aa4d47f8557c2f0b2bb86f75f811d44f5216269138f5a1d1cde4d6","observation_id":"03041d3e-3fbc-418a-9f9f-904ad8a2e4f0","resolution":{"observed_at":"2026-08-07T10:19:52.768174Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:19:52.381513Z","title":"Carmona, F","venue":null,"work_id":"93374914-cb66-4109-86d6-a85ce0a7084a","year":2018},"citing_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T10:19:42.927214Z"},"links":{"citing_paper":"/paper/2506.05723"},"observation_digest":"sha256:d7fa3ed84f1c858c62f32671584aebd106be548d1395254a9e8261d8d9d86f2b","observation_id":"613abfc6-1f55-45ed-a385-d70ee0c7ccbb","resolution":{"observed_at":"2026-08-07T10:19:52.529419Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:19:52.014336Z","title":"Bensoussan, J","venue":null,"work_id":"c01cec3e-ea09-424c-b580-7c89ba83fb2c","year":2013},"citing_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T10:19:43.006900Z"},"links":{"citing_paper":"/paper/2506.05723"},"observation_digest":"sha256:4d862a5c9a8bff6f0a8a97694222b826cee7c662fc7b9465350cc94cdedd8e7e","observation_id":"9cf04020-fd76-4771-a4b0-dfc00ba4c5d6","resolution":{"observed_at":"2026-08-07T10:19:52.217376Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:19:51.804254Z","title":"Albi, Y.-P","venue":null,"work_id":"ed5aa5ff-926c-405e-bf43-f6b721bd3993","year":2017},"citing_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T10:19:43.092735Z"},"links":{"citing_paper":"/paper/2506.05723"},"observation_digest":"sha256:d45b147ae41377c58bf95b0f45d584c1faa39e76437e1e928732f0a160e0519e","observation_id":"69439222-9a0c-4083-a225-79baca7dd5c4","resolution":{"observed_at":"2026-08-07T10:19:51.889978Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:19:51.508364Z","title":"Fornasier, F","venue":null,"work_id":"da8d3706-f7d9-4cbd-aee7-0b3880080ae4","year":2014},"citing_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T10:19:43.157392Z"},"links":{"citing_paper":"/paper/2506.05723"},"observation_digest":"sha256:b01c2bb4cebe3497087928afdd4d34c2aedb2c97bf508e152d4be3c899674595","observation_id":"7e78a5a6-01f0-43f0-881f-17e77fc9657f","resolution":{"observed_at":"2026-08-07T10:19:51.632279Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:19:51.233412Z","title":"Li, Stochastic maximum principle in the mean-field controls, Automatica 48 (2) (2012) 366–373","venue":null,"work_id":"54a457a9-bdd4-40ee-ad67-dff487c602aa","year":2012},"citing_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T10:19:43.250404Z"},"links":{"citing_paper":"/paper/2506.05723"},"observation_digest":"sha256:410696d7bb8dda062cfc1480bca5aa6125ddae5025726493df9706dff9b7eb76","observation_id":"678b02cc-8a3f-418e-abcc-fab52d4449fa","resolution":{"observed_at":"2026-08-07T10:19:51.407448Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:19:51.008266Z","title":null,"venue":null,"work_id":"0e1ed052-014a-4d5a-b87b-77cbdfbbaa2c","year":1999},"citing_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T10:19:43.346920Z"},"links":{"citing_paper":"/paper/2506.05723"},"observation_digest":"sha256:b4e13a7017434347cf1c3ecab181b905359cb91647ec7929d16de4545ae1ebc5","observation_id":"94d08ca1-83ee-43e9-baa6-e8b7e5ef7d64","resolution":{"observed_at":"2026-08-07T10:19:51.117297Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:19:50.833124Z","title":"Ruthotto, S","venue":null,"work_id":"503a608d-2b35-4902-8d83-b786e0d608bd","year":2020},"citing_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T10:19:43.431481Z"},"links":{"citing_paper":"/paper/2506.05723"},"observation_digest":"sha256:f65737ae3992d78dd67b316e192ff371e96887fde2a7f630234908323373398e","observation_id":"505adf0c-f0d9-4fc6-8ed4-1a39a2d7fcbd","resolution":{"observed_at":"2026-08-07T10:19:50.905308Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:19:50.550765Z","title":null,"venue":null,"work_id":"bb9d9fc5-fa05-4557-8804-0bd69c2f2470","year":2019},"citing_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T10:19:43.515775Z"},"links":{"citing_paper":"/paper/2506.05723"},"observation_digest":"sha256:7b975ceeb8d9e518621c9124e3e2a46ea0b7cc0d894b18ca65869ea7a03ef175","observation_id":"5b52de65-61c8-4b2b-a9cc-c7a734457128","resolution":{"observed_at":"2026-08-07T10:19:50.693166Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2303.10257","last_updated":"2024-03-11T04:59:57Z","snapshot_observed_at":"2026-08-05T15:18:05.749340Z","submitted_at":"2023-03-17T21:53:07Z","title":"Recent Developments in Machine Learning Methods for Stochastic Control and Games","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2303.10257","snapshot_observed_at":"2026-08-07T10:19:43.620974Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-07T10:19:43.620974Z"},"links":{"cited_paper":"/paper/2303.10257","citing_paper":"/paper/2506.05723"},"observation_digest":"sha256:6fd3049aa6c967389e3cbc70a5bd58086bfddfef913f9d16e327edd4166a16dc","observation_id":"ae961deb-8450-44da-813f-a08a5ae9af62","resolution":{"observed_at":"2026-08-07T10:19:43.620974Z","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":"2026-08-07T10:19:50.346761Z","title":"Reisinger, Y","venue":null,"work_id":"abb83008-e06f-46c1-b6c9-e09cecec82c0","year":2020},"citing_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T10:19:43.698709Z"},"links":{"citing_paper":"/paper/2506.05723"},"observation_digest":"sha256:9c8f90e911aaf69039ca9d88346ebb53efe170c7d2deb6132d32ab5a6a8724e3","observation_id":"78607a6b-15d6-43f9-a5b8-61e4365e96a7","resolution":{"observed_at":"2026-08-07T10:19:50.479750Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:19:50.146122Z","title":null,"venue":null,"work_id":"909b1593-9ca1-456b-98c6-799da128de7b","year":2021},"citing_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-07T10:19:43.764083Z"},"links":{"citing_paper":"/paper/2506.05723"},"observation_digest":"sha256:4cb1169c48fb7e5221dc2a1a49fbd03fc572703b80928257b4be4e769989cb4c","observation_id":"1ac0c871-6ddd-4cb0-9f8c-ce9b362eb969","resolution":{"observed_at":"2026-08-07T10:19:50.243024Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:19:49.990066Z","title":"Hyv¨ arinen, P","venue":null,"work_id":"63219e50-4f3d-4ae3-9e91-f8c22cf10106","year":2005},"citing_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-07T10:19:43.839285Z"},"links":{"citing_paper":"/paper/2506.05723"},"observation_digest":"sha256:76f3d5d4da19402ebc56475c97532953a30c4f2f04da8bd9c6a9f91284cdfdea","observation_id":"6a59adcf-f48f-421b-96f4-23db46bcaffb","resolution":{"observed_at":"2026-08-07T10:19:50.063844Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:19:49.897455Z","title":null,"venue":null,"work_id":"d49e318b-4a9e-444e-ac34-6d8ea9851bc7","year":2009},"citing_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-07T10:19:43.936438Z"},"links":{"citing_paper":"/paper/2506.05723"},"observation_digest":"sha256:05a55e0d39c5c1670ef64a54d78a0297db11257d07783962fbdb5d6e823c1354","observation_id":"ad210baf-1f1c-4b4c-bc52-5db5c0975e94","resolution":{"observed_at":"2026-08-07T10:19:49.934397Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2504.19084","last_updated":"2025-06-22T17:35:36Z","snapshot_observed_at":"2026-08-07T15:58:54.040296Z","submitted_at":"2025-04-27T02:51:30Z","title":"SD-KDE: Score-Debiased Kernel Density Estimation","version":2},"cited_work":{"arxiv_id":"2504.19084","doi":null,"metadata_source":"pith","pith_arxiv_id":"2504.19084","snapshot_observed_at":"2026-08-07T10:19:47.008201Z","title":"SD-KDE: Score-Debiased Kernel Density Estimation","venue":"cs.LG","work_id":"13cf7afa-bdb5-4016-9675-02b2774456ee","year":2025},"citing_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-07T10:19:44.047418Z"},"links":{"cited_paper":"/paper/2504.19084","citing_paper":"/paper/2506.05723"},"observation_digest":"sha256:4f03b2e83d712322a70064c5064d92ab2bfbfe2689f09ac198f57c90b5a56694","observation_id":"f7222bf3-1e0c-454c-8ea1-108c9ed85437","resolution":{"observed_at":"2026-08-07T10:19:47.093523Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2401.09547","last_updated":"2025-05-17T16:35:27Z","snapshot_observed_at":"2026-07-06T17:17:03.447619Z","submitted_at":"2024-01-17T19:03:59Z","title":"A deep learning algorithm for computing mean field control problems via forward-backward score dynamics","version":2},"cited_work":{"arxiv_id":"2401.09547","doi":null,"metadata_source":"pith","pith_arxiv_id":"2401.09547","snapshot_observed_at":"2026-08-07T10:19:46.814489Z","title":"A deep learning algorithm for computing mean field control problems via forward-backward score dynamics","venue":"math.OC","work_id":"9526d7ff-47e1-4186-bc58-bf5c357dea6b","year":2024},"citing_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-07T10:19:44.104749Z"},"links":{"cited_paper":"/paper/2401.09547","citing_paper":"/paper/2506.05723"},"observation_digest":"sha256:f0c0d6577f19cf2c0f41c0f6948891766e90893a1b89dce426fdd51dbf50cd05","observation_id":"4bca027e-9f1d-4934-92c2-e3ff8b8f117f","resolution":{"observed_at":"2026-08-07T10:19:46.870636Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:19:49.794734Z","title":"Vincent, H","venue":null,"work_id":"ffe87feb-7a15-45ef-b30a-5a4ec8a276e6","year":2008},"citing_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-07T10:19:44.218208Z"},"links":{"citing_paper":"/paper/2506.05723"},"observation_digest":"sha256:69cf60a5c52a5c0dc7cbfde1cef655ce035d1a4b83886f73ec97abc11416231d","observation_id":"1b2524e6-08d6-4395-80f3-65b91b6744d5","resolution":{"observed_at":"2026-08-07T10:19:49.834259Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:19:49.700488Z","title":"Vincent, A connection between score matching and denoising autoencoders, Neural computation 23 (7) (2011) 1661–1674","venue":null,"work_id":"eaf081aa-00a2-4c78-b532-cc6bb035b355","year":2011},"citing_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-07T10:19:44.305456Z"},"links":{"citing_paper":"/paper/2506.05723"},"observation_digest":"sha256:e59acb50f786214b73bd912e98957db13d1724dda6ab845acae7611a1c976dba","observation_id":"3a9abf14-49b7-4088-b32d-7698adae3ce3","resolution":{"observed_at":"2026-08-07T10:19:49.759153Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:19:49.590871Z","title":null,"venue":null,"work_id":"b38a8dcf-ccfe-43af-9204-9b005e135aa1","year":2021},"citing_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-07T10:19:44.401323Z"},"links":{"citing_paper":"/paper/2506.05723"},"observation_digest":"sha256:f289392f030487fb7a532877e9bef6d172d1e57384646cb652c1620f6c6243aa","observation_id":"a99431b0-85fa-4c58-ac8d-8e11812b1847","resolution":{"observed_at":"2026-08-07T10:19:49.637600Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:19:49.510302Z","title":"De Bortoli, J","venue":null,"work_id":"92b46091-2ebe-49a3-a822-73dca9cc3f17","year":2021},"citing_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-07T10:19:44.481953Z"},"links":{"citing_paper":"/paper/2506.05723"},"observation_digest":"sha256:008ce5b703a8085781d194ffad2692984a1a1c41b6f3ede4d68e6465b6c65c04","observation_id":"4fdf48b4-70ed-49fe-8312-a0104f8645c2","resolution":{"observed_at":"2026-08-07T10:19:49.532228Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:19:44.551692Z","title":"Papamakarios, E","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-07T10:19:44.551692Z"},"links":{"citing_paper":"/paper/2506.05723"},"observation_digest":"sha256:65bf6a1f8954e9d1343b909e9b0d9963e6d2002bb75a5b9b17a91f4bf45e0ec1","observation_id":"92673499-d4c5-4d4c-8efe-a5d514190ea3","resolution":{"observed_at":"2026-08-07T10:19:44.551692Z","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":"2026-08-07T10:19:49.371177Z","title":"Lipman, R","venue":null,"work_id":"bd148790-abfe-4bbc-a239-650f9ae25ee5","year":2023},"citing_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-07T10:19:44.669787Z"},"links":{"citing_paper":"/paper/2506.05723"},"observation_digest":"sha256:e1d9339f18bc52e769960609f9103603a3c259b060d2b789f401b35b3432d1c8","observation_id":"2ee66937-2f9c-4136-9611-332ee0222063","resolution":{"observed_at":"2026-08-07T10:19:49.435542Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:19:49.233623Z","title":"Grathwohl, R","venue":null,"work_id":"f6366756-7cf1-4104-845d-d5f42ef9f662","year":2019},"citing_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-07T10:19:44.805575Z"},"links":{"citing_paper":"/paper/2506.05723"},"observation_digest":"sha256:3f10dc289a3ad09f44159a4bb4c4a7570aa49ffa7620af9866750f58d3739b12","observation_id":"597cf0b4-9d5b-4945-80c8-2544afaf5cc4","resolution":{"observed_at":"2026-08-07T10:19:49.301412Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:19:49.135372Z","title":null,"venue":null,"work_id":"cc85bfdb-24ca-4551-8e9e-02cd0633996d","year":1993},"citing_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-07T10:19:44.889998Z"},"links":{"citing_paper":"/paper/2506.05723"},"observation_digest":"sha256:c3e343a51e909fa24d92dba23c8d9539ab6ff9de2c3aac7b5111547d807213e1","observation_id":"02e23690-4af0-49f6-88ba-d592fa7d2141","resolution":{"observed_at":"2026-08-07T10:19:49.175108Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:19:49.017100Z","title":"Agmon, A","venue":null,"work_id":"125282e8-a4cd-4396-866d-0bc88abdbed5","year":1990},"citing_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-07T10:19:44.971512Z"},"links":{"citing_paper":"/paper/2506.05723"},"observation_digest":"sha256:bd2050a2a04e63bd259b25a339bac1c3f701c9a58a804d5b4530091f6d629095","observation_id":"ed43f3b0-d69b-4107-8c35-9e47fa8af65e","resolution":{"observed_at":"2026-08-07T10:19:49.064618Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:19:48.862844Z","title":null,"venue":null,"work_id":"82b21466-bc04-427b-9d9f-a0a4ea3aff08","year":2023},"citing_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-07T10:19:45.011099Z"},"links":{"citing_paper":"/paper/2506.05723"},"observation_digest":"sha256:7f963461432a3bd856e9071a6fff92a2e320befb30c4aeb6c04f4e7273db18af","observation_id":"ef867036-85b9-4884-b34f-5e904c8bb505","resolution":{"observed_at":"2026-08-07T10:19:48.946447Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:19:48.695870Z","title":null,"venue":null,"work_id":"b86e5864-25dc-4a8d-9c11-f4ee53211304","year":2015},"citing_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-07T10:19:45.072089Z"},"links":{"citing_paper":"/paper/2506.05723"},"observation_digest":"sha256:e0f3a5d3ebd6903b60c2a5f6dcc7ad703f89c658c2ce8025b5f42c7e2495ca0a","observation_id":"f26410c2-e496-4c2d-a696-c73c543c311b","resolution":{"observed_at":"2026-08-07T10:19:48.775607Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:19:48.584697Z","title":null,"venue":null,"work_id":"d5328b77-cfca-450a-909f-aef1e69c4864","year":2023},"citing_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-07T10:19:45.153560Z"},"links":{"citing_paper":"/paper/2506.05723"},"observation_digest":"sha256:07c3ab4f252d80eef3c7571ccbedb29fd6b2c82d4168f8ddaf795a7be3cc87a1","observation_id":"27b0b4da-07a1-4384-8ae8-0f975528fb80","resolution":{"observed_at":"2026-08-07T10:19:48.637204Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:19:48.420272Z","title":"Cheng, N","venue":null,"work_id":"898c44fc-1181-4fa7-b47b-6a59f76e3563","year":2018},"citing_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-07T10:19:45.237261Z"},"links":{"citing_paper":"/paper/2506.05723"},"observation_digest":"sha256:ead1a8b37b1d2378112511740d03907ee2c921f64f41373913b446dedf785d07","observation_id":"83f6749b-3164-4089-b774-e254974344f1","resolution":{"observed_at":"2026-08-07T10:19:48.486031Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:19:45.317881Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-07T10:19:45.317881Z"},"links":{"citing_paper":"/paper/2506.05723"},"observation_digest":"sha256:de8b6ae82f2df409edc431a9440b82ac4372bd732ff779ac09b2b62c2c19c9e8","observation_id":"450c1870-f0ee-42eb-90dd-f6298bdd7ca8","resolution":{"observed_at":"2026-08-07T10:19:45.317881Z","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":"2026-08-07T10:19:48.245280Z","title":null,"venue":null,"work_id":"76f07ace-e2b5-480e-9a61-9ec6e90783fb","year":2017},"citing_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-07T10:19:45.404915Z"},"links":{"citing_paper":"/paper/2506.05723"},"observation_digest":"sha256:25fbab83a0b0fd3409eb326d2d32d869211134cb66c5de267fa25d949813b0e2","observation_id":"00e0e6d8-0172-4d7e-9e3d-f8df89d4c187","resolution":{"observed_at":"2026-08-07T10:19:48.332067Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:19:48.088375Z","title":null,"venue":null,"work_id":"60bc36bf-6385-4687-adc6-418cfabda8ef","year":2011},"citing_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-07T10:19:45.483522Z"},"links":{"citing_paper":"/paper/2506.05723"},"observation_digest":"sha256:458e64ba97a6c631c3a0497bb7c304a6829722cdfb2f2098d61d78b02d6fdc72","observation_id":"1b85e498-12f7-4274-886c-bfeb5f4fd250","resolution":{"observed_at":"2026-08-07T10:19:48.161916Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:19:47.915526Z","title":null,"venue":null,"work_id":"d085a5c4-b90e-494b-a7c2-59b4ed06a5a9","year":2021},"citing_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-07T10:19:45.588444Z"},"links":{"citing_paper":"/paper/2506.05723"},"observation_digest":"sha256:7a081d48acd75002d692b8820ac73f56fddeaed9a2d3e85424e00c06ceac2b67","observation_id":"9e3de792-eabf-4413-ada6-b5be9bb52b58","resolution":{"observed_at":"2026-08-07T10:19:47.976694Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2008.05519","last_updated":"2021-03-21T07:46:08Z","snapshot_observed_at":"2026-07-06T09:46:42.056120Z","submitted_at":"2020-08-12T18:27:13Z","title":"Convergence of Deep Fictitious Play for Stochastic Differential Games","version":2},"cited_work":{"arxiv_id":"2008.05519","doi":null,"metadata_source":"pith","pith_arxiv_id":"2008.05519","snapshot_observed_at":"2026-08-07T10:19:46.671494Z","title":"Convergence of Deep Fictitious Play for Stochastic Differential Games","venue":"math.OC","work_id":"1d680e36-6d20-4bee-9f79-7fb148ecda2a","year":2020},"citing_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-07T10:19:45.700550Z"},"links":{"cited_paper":"/paper/2008.05519","citing_paper":"/paper/2506.05723"},"observation_digest":"sha256:3ad279c7f8535a97ec50715a05e390f35410747a56bfb97ef7f78fc0107b7d5b","observation_id":"78a28ee6-1430-4ed7-8c1b-751b7da3d21c","resolution":{"observed_at":"2026-08-07T10:19:46.713386Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:19:47.781333Z","title":null,"venue":null,"work_id":"6e35d9f3-56b9-4f38-b2c5-7d2b1b2f4433","year":2021},"citing_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-07T10:19:45.755237Z"},"links":{"citing_paper":"/paper/2506.05723"},"observation_digest":"sha256:f26525d33bfea3ca327e3bca0fbed7a8ac7c523fbb4bbdf66f942d0a9eecd49b","observation_id":"9c9a8ed9-9006-40e3-8c06-bf8fc4a64f8b","resolution":{"observed_at":"2026-08-07T10:19:47.862637Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:19:47.634527Z","title":"Carmona, M","venue":null,"work_id":"f33773a2-4e20-4365-81e9-757b3aa84858","year":2021},"citing_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-07T10:19:45.842287Z"},"links":{"citing_paper":"/paper/2506.05723"},"observation_digest":"sha256:f30ce5b73d566b1d7ea8ca2c7ad942d33e8c869ada9384e1646777d15224e8cf","observation_id":"d777fb09-89c9-4c61-9c26-d74becfd770b","resolution":{"observed_at":"2026-08-07T10:19:47.706409Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:19:47.431082Z","title":"Carmona, M","venue":null,"work_id":"e740f3b8-6cdd-4dd1-ad74-6f4fde52172f","year":2022},"citing_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-07T10:19:45.953136Z"},"links":{"citing_paper":"/paper/2506.05723"},"observation_digest":"sha256:b2a7763d6102b5e29f2e01249b1751b8d7ec123b5b8afc8c0d5cb87a317a870e","observation_id":"33af9154-e5d2-4f15-bd7c-3f80c37a544e","resolution":{"observed_at":"2026-08-07T10:19:47.523169Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2302.05816","last_updated":"2025-04-14T17:34:46Z","snapshot_observed_at":"2026-07-06T14:50:53.033420Z","submitted_at":"2023-02-11T23:30:50Z","title":"A Policy Gradient Framework for Stochastic Optimal Control Problems with Global Convergence Guarantee","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.05816","snapshot_observed_at":"2026-08-07T10:19:46.036708Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-07T10:19:46.036708Z"},"links":{"cited_paper":"/paper/2302.05816","citing_paper":"/paper/2506.05723"},"observation_digest":"sha256:b9d82c6d2799f10edeb485644dbcca52d631aba98fa124a28ac8367c92eb4b42","observation_id":"865f3b86-93ff-48ec-9947-4e93dc0de762","resolution":{"observed_at":"2026-08-07T10:19:46.036708Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.20250","last_updated":"2025-03-24T13:37:48Z","snapshot_observed_at":"2026-07-06T18:22:53.072592Z","submitted_at":"2024-05-30T17:02:18Z","title":"Entropy annealing for policy mirror descent in continuous time and space","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.20250","snapshot_observed_at":"2026-08-07T10:19:46.160149Z","title":"Sethi, D","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-07T10:19:46.160149Z"},"links":{"cited_paper":"/paper/2405.20250","citing_paper":"/paper/2506.05723"},"observation_digest":"sha256:b9747f0d800d64c64737a9a3136ebf85f72b06fe8570b613d52fd87989bd7e45","observation_id":"91704087-7b09-47ba-b7f9-c92554754011","resolution":{"observed_at":"2026-08-07T10:19:46.160149Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.17208","last_updated":"2025-01-24T00:35:16Z","snapshot_observed_at":"2026-07-06T17:35:57.887470Z","submitted_at":"2024-02-27T04:57:23Z","title":"Solving Time-Continuous Stochastic Optimal Control Problems: Algorithm Design and Convergence Analysis of Actor-Critic Flow","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.17208","snapshot_observed_at":"2026-08-07T10:19:46.253334Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-07T10:19:46.253334Z"},"links":{"cited_paper":"/paper/2402.17208","citing_paper":"/paper/2506.05723"},"observation_digest":"sha256:1f0403045ad60cd7d845dadf09068cde23aa5bf1bc90af448da8003cbbf8f2d0","observation_id":"a3e0877c-344e-4066-abda-b5b39d3e486c","resolution":{"observed_at":"2026-08-07T10:19:46.253334Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2406.10959","last_updated":"2025-04-23T00:10:54Z","snapshot_observed_at":"2026-07-06T18:31:45.125236Z","submitted_at":"2024-06-16T14:31:26Z","title":"Convergence Analysis for Entropy-Regularized Control Problems: A Probabilistic Approach","version":4},"cited_work":{"arxiv_id":"2406.10959","doi":null,"metadata_source":"pith","pith_arxiv_id":"2406.10959","snapshot_observed_at":"2026-08-07T10:19:46.525498Z","title":"Convergence Analysis for Entropy-Regularized Control Problems: A Probabilistic Approach","venue":"math.OC","work_id":"270c4a2d-34f7-4b8c-aed2-a25b9802e9eb","year":2024},"citing_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-07T10:19:46.332699Z"},"links":{"cited_paper":"/paper/2406.10959","citing_paper":"/paper/2506.05723"},"observation_digest":"sha256:257042c968f45c03bc22a596a20220fa18bc740699fa3315ca34002cc962277c","observation_id":"9cecfeda-8411-4f78-b0ba-dff61a533741","resolution":{"observed_at":"2026-08-07T10:19:46.565127Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:19:47.333876Z","title":"Vershynin, High-dimensional probability: An introduction with applications in data science, Vol","venue":null,"work_id":"4657161f-6d01-435b-a8c1-75cbc82ee0c7","year":2018},"citing_paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows","version":3},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-07T10:19:46.422740Z"},"links":{"citing_paper":"/paper/2506.05723"},"observation_digest":"sha256:8f9ae7e10bd38ea10a9355caa788cdefd23c2bb7aecbb7e2dc988a4d7f00ccc0","observation_id":"f6261ed3-594e-41d4-a869-8962436cce7c","resolution":{"observed_at":"2026-08-07T10:19:47.377903Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.05723","last_updated":"2026-07-29T22:16:50Z","latest_version":3,"primary_category":"math.OC","snapshot_observed_at":"2026-08-07T10:11:14.002927Z","submitted_at":"2025-06-06T04:03:24Z","title":"Simulating Fokker-Planck equations via mean field control of score-based normalizing flows"},"reference_resolution":{"displayed":57,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":28,"verified_exact":5,"verified_fuzzy":24},"total_outbound_references":57},"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":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 57 of 57 outbound references and 2 inbound Pith citation observations for arXiv:2506.05723."}