{"as_of":"2026-08-13T10:46:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:379254af727fbc0db02382c3abb0020b6958e5d62ef56dea2a05d0c5db71858e","coverage":[{"denominator":37,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":37,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T23:21:54.718718Z","state":"measured"},{"denominator":39,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":39,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+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":"2026-08-08T15:48:46.112987Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-07T12:53:53.533311Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2412.20782","last_updated":"2024-12-30T08:05:28Z","snapshot_observed_at":"2026-08-11T06:25:03.749130Z","submitted_at":"2024-12-30T08:05:28Z","title":"A randomisation method for mean-field control problems with common noise","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.20782","snapshot_observed_at":"2026-08-08T15:48:46.112987Z","title":"Denkert, I","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.06356","last_updated":"2025-06-11T12:01:04Z","snapshot_observed_at":"2026-08-10T05:42:21.476351Z","submitted_at":"2025-02-10T11:12:43Z","title":"The randomization method in stochastic optimal control","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-08T15:48:46.112987Z"},"links":{"cited_paper":"/paper/2412.20782","citing_paper":"/paper/2502.06356"},"observation_digest":"sha256:e1b3ba974b4deef7ad286a6899654fcb506ac1fa3fa46a697b0700a9088a228b","observation_id":"b54cf128-3d90-418d-b410-aa5a8ad67908","resolution":{"observed_at":"2026-08-08T15:48:46.112987Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.20782","last_updated":"2024-12-30T08:05:28Z","snapshot_observed_at":"2026-08-11T06:25:03.749130Z","submitted_at":"2024-12-30T08:05:28Z","title":"A randomisation method for mean-field control problems with common noise","version":1},"cited_work":{"arxiv_id":"2412.20782","doi":null,"metadata_source":"pith","pith_arxiv_id":"2412.20782","snapshot_observed_at":"2026-08-07T12:53:53.533311Z","title":"A randomisation method for mean-field control problems with common noise","venue":"math.OC","work_id":"fd09f655-d656-4401-a4fa-bbeaaa91abe2","year":2024},"citing_paper":{"arxiv_id":"2505.23441","last_updated":"2026-06-27T10:22:05Z","snapshot_observed_at":"2026-08-07T22:04:35.587114Z","submitted_at":"2025-05-29T13:38:56Z","title":"Mean Field Control with Poissonian Common Noise: A Pathwise Compactification Approach","version":4},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T12:53:49.533081Z"},"links":{"cited_paper":"/paper/2412.20782","citing_paper":"/paper/2505.23441"},"observation_digest":"sha256:2248168dac73522221ca6d6acbfaa15822a45ce59e119a8f443a38250b61e90b","observation_id":"cc638ab5-b176-449a-8938-ac95362cb0fe","resolution":{"observed_at":"2026-08-07T12:53:53.654744Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2412.20782/citation-record","integrity":"/paper/2412.20782/integrity","json":"/paper/2412.20782/citation-record.json","paper":"/paper/2412.20782"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:55.571957Z","title":"Algorithmic trading in a microstructural limit order book model","venue":null,"work_id":"aa1f8482-51ee-4fbd-84b1-5c6094d0588f","year":2020},"citing_paper":{"arxiv_id":"2412.20782","last_updated":"2024-12-30T08:05:28Z","snapshot_observed_at":"2026-08-11T06:25:03.749130Z","submitted_at":"2024-12-30T08:05:28Z","title":"A randomisation method for mean-field control problems with common noise","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:54.439333Z"},"links":{"citing_paper":"/paper/2412.20782"},"observation_digest":"sha256:618ba16295e0d60bb412ef950081ff73baae60883738d1b07c9c1deadb48c0ac","observation_id":"ae23b252-04b1-41df-a6e0-9337a9e59af7","resolution":{"observed_at":"2026-08-10T23:21:55.578577Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-10T23:21:55.550040Z","title":"A Maximum Princi ple for SDEs of Mean-Field Type","venue":null,"work_id":"6f5efee3-94cf-4690-9f9b-2ec42903afbe","year":2011},"citing_paper":{"arxiv_id":"2412.20782","last_updated":"2024-12-30T08:05:28Z","snapshot_observed_at":"2026-08-11T06:25:03.749130Z","submitted_at":"2024-12-30T08:05:28Z","title":"A randomisation method for mean-field control problems with common noise","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:54.451429Z"},"links":{"citing_paper":"/paper/2412.20782"},"observation_digest":"sha256:cb96d776c161028725bf38c12f7c43658cf464b7ea2fe8ed0222307b2650a721","observation_id":"cf770edb-ed43-4425-8f2e-ca870f030d04","resolution":{"observed_at":"2026-08-10T23:21:55.559232Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-10T23:21:55.531984Z","title":"Stochastic Calculus","venue":null,"work_id":"e7be9e38-19e2-457f-9a6b-96cce6accb65","year":2017},"citing_paper":{"arxiv_id":"2412.20782","last_updated":"2024-12-30T08:05:28Z","snapshot_observed_at":"2026-08-11T06:25:03.749130Z","submitted_at":"2024-12-30T08:05:28Z","title":"A randomisation method for mean-field control problems with common noise","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:54.460048Z"},"links":{"citing_paper":"/paper/2412.20782"},"observation_digest":"sha256:bfa169e9e17a345db7ebfc7fee407078f49b362c1378dd2cfa251261d0e58c8e","observation_id":"3dad422f-485d-4a22-b657-a2ad6aef07de","resolution":{"observed_at":"2026-08-10T23:21:55.537312Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-10T23:21:55.514914Z","title":"Backward SDEs for optimal control of partially observed path-dependent stochastic s ystems: A control randomization approach","venue":null,"work_id":"98d26d18-7039-4de8-a00f-5b574f998241","year":null},"citing_paper":{"arxiv_id":"2412.20782","last_updated":"2024-12-30T08:05:28Z","snapshot_observed_at":"2026-08-11T06:25:03.749130Z","submitted_at":"2024-12-30T08:05:28Z","title":"A randomisation method for mean-field control problems with common noise","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:54.468696Z"},"links":{"citing_paper":"/paper/2412.20782"},"observation_digest":"sha256:8e3fc333ce4173e72e4f8e5ae6aa815842f7d9cdc5c58947278afb6b76cf2df9","observation_id":"85bb4316-738a-46b5-b00b-91b399989303","resolution":{"observed_at":"2026-08-10T23:21:55.520486Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-10T23:21:55.489199Z","title":"Randomization method and backward SDEs for optimal control of partially observed pat h-dependent stochastic systems, 2016","venue":null,"work_id":"2993586b-e850-4960-aeb2-71ef9aa0cdda","year":2016},"citing_paper":{"arxiv_id":"2412.20782","last_updated":"2024-12-30T08:05:28Z","snapshot_observed_at":"2026-08-11T06:25:03.749130Z","submitted_at":"2024-12-30T08:05:28Z","title":"A randomisation method for mean-field control problems with common noise","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:54.476688Z"},"links":{"citing_paper":"/paper/2412.20782"},"observation_digest":"sha256:d786ea29c6ac3231f421fe3661a75632006f793f098c638fd573c82dc0ed3c23","observation_id":"7dd5ea78-f1fb-41db-96ab-90c49de66ee6","resolution":{"observed_at":"2026-08-10T23:21:55.501037Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-10T23:21:55.471213Z","title":"Randomi zed dynamic programming principle and feynman-kac representation for optimal control of McKe an-vlasov dynamics","venue":null,"work_id":"6cb059e1-b0bc-4577-aac9-b1e2414e67af","year":null},"citing_paper":{"arxiv_id":"2412.20782","last_updated":"2024-12-30T08:05:28Z","snapshot_observed_at":"2026-08-11T06:25:03.749130Z","submitted_at":"2024-12-30T08:05:28Z","title":"A randomisation method for mean-field control problems with common noise","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:54.485046Z"},"links":{"citing_paper":"/paper/2412.20782"},"observation_digest":"sha256:7142ec5b5f476c2236bc15d82ead20206917a2705154526a263a601ba62d59ef","observation_id":"bc3fc0c6-6579-43a1-8f22-4fb0339c09f3","resolution":{"observed_at":"2026-08-10T23:21:55.477362Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-10T23:21:55.449829Z","title":"A stochastic target formulation for opt imal switching problems in finite horizon","venue":null,"work_id":"dca77297-5010-4c9c-9826-391c6c2efb49","year":null},"citing_paper":{"arxiv_id":"2412.20782","last_updated":"2024-12-30T08:05:28Z","snapshot_observed_at":"2026-08-11T06:25:03.749130Z","submitted_at":"2024-12-30T08:05:28Z","title":"A randomisation method for mean-field control problems with common noise","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:54.493053Z"},"links":{"citing_paper":"/paper/2412.20782"},"observation_digest":"sha256:1e17266447850e329a2cd8997e52f5ff379b95b256341ac98448941574ef77fc","observation_id":"4714fc9c-8210-458a-935f-00dedd44a70f","resolution":{"observed_at":"2026-08-10T23:21:55.456230Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-10T23:21:55.424497Z","title":"A Genera l Stochastic Maximum Principle for SDEs of Mean-field Type","venue":null,"work_id":"ec04503d-c04b-4c6b-8b71-94ceb0553b20","year":2011},"citing_paper":{"arxiv_id":"2412.20782","last_updated":"2024-12-30T08:05:28Z","snapshot_observed_at":"2026-08-11T06:25:03.749130Z","submitted_at":"2024-12-30T08:05:28Z","title":"A randomisation method for mean-field control problems with common noise","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:54.499571Z"},"links":{"citing_paper":"/paper/2412.20782"},"observation_digest":"sha256:e9bd25a54eba4280167b359278d933a51a5e05b92c6c1842c97f3003931f1378","observation_id":"0cdc74a9-b599-4511-99ff-89554cd62446","resolution":{"observed_at":"2026-08-10T23:21:55.429914Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-10T23:21:55.404126Z","title":"Mean-field stochastic differential equations and associated PDEs","venue":null,"work_id":"97b166f4-22b6-4ffd-9c7e-ce0a169543ef","year":null},"citing_paper":{"arxiv_id":"2412.20782","last_updated":"2024-12-30T08:05:28Z","snapshot_observed_at":"2026-08-11T06:25:03.749130Z","submitted_at":"2024-12-30T08:05:28Z","title":"A randomisation method for mean-field control problems with common noise","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:54.511287Z"},"links":{"citing_paper":"/paper/2412.20782"},"observation_digest":"sha256:513096d348b39fbb02990313772a1a7bfaffa8645e03049d479570b3d5e30294","observation_id":"97f082fc-f6b1-48e6-a6d3-d15b84fe0a7a","resolution":{"observed_at":"2026-08-10T23:21:55.410806Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-10T23:21:55.380363Z","title":"Forward–backwar d stochastic differential equations and con- trolled McKean–Vlasov dynamics","venue":null,"work_id":"a4a9448d-1d19-48d5-8cbd-44ea7f651f97","year":2015},"citing_paper":{"arxiv_id":"2412.20782","last_updated":"2024-12-30T08:05:28Z","snapshot_observed_at":"2026-08-11T06:25:03.749130Z","submitted_at":"2024-12-30T08:05:28Z","title":"A randomisation method for mean-field control problems with common noise","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:54.517661Z"},"links":{"citing_paper":"/paper/2412.20782"},"observation_digest":"sha256:c49bc6f7b196decb478bcc0f75ac458dbc443533ee5f50f60ab4a4f2f5622dd9","observation_id":"fb5eda1e-2c8a-4309-a845-ae847510e885","resolution":{"observed_at":"2026-08-10T23:21:55.388422Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-10T23:21:55.358380Z","title":"Springer International Publishing, Cham, 2018","venue":null,"work_id":"58c9297d-5225-47f7-8b45-5919ce2ffa0a","year":2018},"citing_paper":{"arxiv_id":"2412.20782","last_updated":"2024-12-30T08:05:28Z","snapshot_observed_at":"2026-08-11T06:25:03.749130Z","submitted_at":"2024-12-30T08:05:28Z","title":"A randomisation method for mean-field control problems with common noise","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:54.531096Z"},"links":{"citing_paper":"/paper/2412.20782"},"observation_digest":"sha256:77540e4b32b631f1dcec945eae339a4101c17fab06e54dff2a2fa41073298dc5","observation_id":"477dc18d-5c1d-4c37-89dd-2993821f9697","resolution":{"observed_at":"2026-08-10T23:21:55.366054Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-10T23:21:55.341864Z","title":null,"venue":null,"work_id":"ca43f7d6-56b1-412c-ab07-504294dfa16c","year":1990},"citing_paper":{"arxiv_id":"2412.20782","last_updated":"2024-12-30T08:05:28Z","snapshot_observed_at":"2026-08-11T06:25:03.749130Z","submitted_at":"2024-12-30T08:05:28Z","title":"A randomisation method for mean-field control problems with common noise","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:54.545544Z"},"links":{"citing_paper":"/paper/2412.20782"},"observation_digest":"sha256:27c71fe830858ca58d5099ec318d73f0912695d9d91cc22e1b3cf949f47cea5f","observation_id":"e2f65b64-b4ae-482c-83ac-d2b49ad4e559","resolution":{"observed_at":"2026-08-10T23:21:55.346714Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-10T23:21:55.322275Z","title":"A pseudo-m arkov property for controlled diffusion processes","venue":null,"work_id":"3bcdf0ae-d122-42df-8a2f-292158f4eb5c","year":null},"citing_paper":{"arxiv_id":"2412.20782","last_updated":"2024-12-30T08:05:28Z","snapshot_observed_at":"2026-08-11T06:25:03.749130Z","submitted_at":"2024-12-30T08:05:28Z","title":"A randomisation method for mean-field control problems with common noise","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:54.553531Z"},"links":{"citing_paper":"/paper/2412.20782"},"observation_digest":"sha256:4c7054f2c178d607379858f7f6bbb7876d76ffcc5e9c20063fb8c22e35fdbf12","observation_id":"24775b93-b4c6-4972-902a-09ae0a94237f","resolution":{"observed_at":"2026-08-10T23:21:55.328492Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-10T23:21:55.302309Z","title":"An Introduction to the Theory of Point Processes","venue":null,"work_id":"0e76e13d-13bd-48a5-b9ed-476ded24892f","year":null},"citing_paper":{"arxiv_id":"2412.20782","last_updated":"2024-12-30T08:05:28Z","snapshot_observed_at":"2026-08-11T06:25:03.749130Z","submitted_at":"2024-12-30T08:05:28Z","title":"A randomisation method for mean-field control problems with common noise","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:54.562418Z"},"links":{"citing_paper":"/paper/2412.20782"},"observation_digest":"sha256:27f97b85efe97c15fa0eb9b045225e3f0dc2e0f52f206e770046e9fbc61d1c63","observation_id":"91a1bf62-a873-4c8f-8c64-902103b5f874","resolution":{"observed_at":"2026-08-10T23:21:55.308686Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-10T23:21:55.282304Z","title":"Probabilities and potential , volume 29 of North-Holland mathematics studies","venue":null,"work_id":"61d1982a-27de-4d6e-8aec-5263a5cb8964","year":1978},"citing_paper":{"arxiv_id":"2412.20782","last_updated":"2024-12-30T08:05:28Z","snapshot_observed_at":"2026-08-11T06:25:03.749130Z","submitted_at":"2024-12-30T08:05:28Z","title":"A randomisation method for mean-field control problems with common noise","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:54.570548Z"},"links":{"citing_paper":"/paper/2412.20782"},"observation_digest":"sha256:9d03fdaeeaf63a2dfc13ed656fac543f7097f4bf7cf97d7507122820dec4f74b","observation_id":"72a60797-c709-4bb8-86c2-678ddc9b6e52","resolution":{"observed_at":"2026-08-10T23:21:55.287629Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-10T23:21:55.264178Z","title":"Control randomisation approach for policy gra- dient and application to reinforcement learning in optimal switching","venue":null,"work_id":"4be7d499-dc12-4666-8c95-d190a8714865","year":2024},"citing_paper":{"arxiv_id":"2412.20782","last_updated":"2024-12-30T08:05:28Z","snapshot_observed_at":"2026-08-11T06:25:03.749130Z","submitted_at":"2024-12-30T08:05:28Z","title":"A randomisation method for mean-field control problems with common noise","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:54.578867Z"},"links":{"citing_paper":"/paper/2412.20782"},"observation_digest":"sha256:9c73e6f28ccc096ab784646acc82e0638f1c8972bb3f553472885bafbc6ad5f4","observation_id":"b924bcf3-13d6-4ac7-918b-eb048accc4a3","resolution":{"observed_at":"2026-08-10T23:21:55.270311Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-10T23:21:55.243641Z","title":"McK ean–vlasov optimal control: Limit theory and equivalence between different formulations","venue":null,"work_id":"c57c1e82-6eab-4738-96f6-18d7dacf7cc2","year":null},"citing_paper":{"arxiv_id":"2412.20782","last_updated":"2024-12-30T08:05:28Z","snapshot_observed_at":"2026-08-11T06:25:03.749130Z","submitted_at":"2024-12-30T08:05:28Z","title":"A randomisation method for mean-field control problems with common noise","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:54.585534Z"},"links":{"citing_paper":"/paper/2412.20782"},"observation_digest":"sha256:c4a9ee034bf50418bfae8a97e3a07c178c41723f704bf3533d487859b7b0efa7","observation_id":"0e296792-6eae-449a-a38d-1d592a8914f6","resolution":{"observed_at":"2026-08-10T23:21:55.250998Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-10T23:21:55.219975Z","title":"McKean–vlasov optimal control: The dynamic programming principle","venue":null,"work_id":"e55190a0-e559-46f4-a438-4e8b6a75aedb","year":null},"citing_paper":{"arxiv_id":"2412.20782","last_updated":"2024-12-30T08:05:28Z","snapshot_observed_at":"2026-08-11T06:25:03.749130Z","submitted_at":"2024-12-30T08:05:28Z","title":"A randomisation method for mean-field control problems with common noise","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:54.590936Z"},"links":{"citing_paper":"/paper/2412.20782"},"observation_digest":"sha256:977b013b8aaa175ab49a9fc4fc4233f37cb27f4e00df5ea39f15698b65c702ff","observation_id":"92dd509a-f0e7-44bc-a8cc-d557b304dff4","resolution":{"observed_at":"2026-08-10T23:21:55.225671Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-10T23:21:55.197718Z","title":"Adding constraints t o BSDEs with jumps: an alternative to multidimensional reflections","venue":null,"work_id":"506d1bef-24dd-4f07-9783-8881216ffb9d","year":null},"citing_paper":{"arxiv_id":"2412.20782","last_updated":"2024-12-30T08:05:28Z","snapshot_observed_at":"2026-08-11T06:25:03.749130Z","submitted_at":"2024-12-30T08:05:28Z","title":"A randomisation method for mean-field control problems with common noise","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:54.599008Z"},"links":{"citing_paper":"/paper/2412.20782"},"observation_digest":"sha256:852f5f4c63b1d74c2ff98347b10e48ff6ec8f258c55e67a98bb60bf69780a1e2","observation_id":"2545b73d-3e5d-4431-a293-b7f3baa26de4","resolution":{"observed_at":"2026-08-10T23:21:55.204821Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-10T23:21:55.174842Z","title":"BSDE representation s for optimal switching problems with controlled volatility","venue":null,"work_id":"28c6e95a-4a8e-4f2d-b07a-efafac61b2cf","year":null},"citing_paper":{"arxiv_id":"2412.20782","last_updated":"2024-12-30T08:05:28Z","snapshot_observed_at":"2026-08-11T06:25:03.749130Z","submitted_at":"2024-12-30T08:05:28Z","title":"A randomisation method for mean-field control problems with common noise","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:54.604457Z"},"links":{"citing_paper":"/paper/2412.20782"},"observation_digest":"sha256:772357e0c91ea4f8a5b5e2fb9dbce4c4b95f4ee76ede97562214ecd875ebfab4","observation_id":"6dc9a196-6cb4-40a7-a77f-5fad440e6732","resolution":{"observed_at":"2026-08-10T23:21:55.181773Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-10T23:21:55.153628Z","title":"Probabilistic repre sentation and approximation for coupled systems of variational inequalities","venue":null,"work_id":"3e231228-6d10-4283-8096-05ebd7b1d415","year":null},"citing_paper":{"arxiv_id":"2412.20782","last_updated":"2024-12-30T08:05:28Z","snapshot_observed_at":"2026-08-11T06:25:03.749130Z","submitted_at":"2024-12-30T08:05:28Z","title":"A randomisation method for mean-field control problems with common noise","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:54.614129Z"},"links":{"citing_paper":"/paper/2412.20782"},"observation_digest":"sha256:e3c37c1e670dbd0938cdc5c2d4a49bac721e2b8aef39af631b0a6d5f9f9eb76d","observation_id":"a1a3662a-b032-42df-8ff8-dbe02e6e0583","resolution":{"observed_at":"2026-08-10T23:21:55.160678Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-10T23:21:55.129769Z","title":"Optimal swit ching problems with an infinite set of modes: An approach by randomization and constrained backwa rd SDEs","venue":null,"work_id":"cc44fb18-4e30-432f-a5be-cfdab474a659","year":null},"citing_paper":{"arxiv_id":"2412.20782","last_updated":"2024-12-30T08:05:28Z","snapshot_observed_at":"2026-08-11T06:25:03.749130Z","submitted_at":"2024-12-30T08:05:28Z","title":"A randomisation method for mean-field control problems with common noise","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:54.621157Z"},"links":{"citing_paper":"/paper/2412.20782"},"observation_digest":"sha256:d545b82440fec6bfeb74bb0b617a2dfaee8ffad0febc252d05e887798d3d9a09","observation_id":"c80baa4c-c90f-4fd4-9475-60f9452a7ffb","resolution":{"observed_at":"2026-08-10T23:21:55.137661Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-10T23:21:55.106241Z","title":"Randomized and backward SDE representation for optimal control of non-markovian SDEs","venue":null,"work_id":"e647e122-1eb3-4239-b755-bd08e84c0d83","year":null},"citing_paper":{"arxiv_id":"2412.20782","last_updated":"2024-12-30T08:05:28Z","snapshot_observed_at":"2026-08-11T06:25:03.749130Z","submitted_at":"2024-12-30T08:05:28Z","title":"A randomisation method for mean-field control problems with common noise","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:54.627908Z"},"links":{"citing_paper":"/paper/2412.20782"},"observation_digest":"sha256:31db7702dd42ed4fa49ecf5dda89e06cd07339daccdc5dab492c25ff9507a200","observation_id":"2b19d266-707e-4419-9724-d18380df9ad7","resolution":{"observed_at":"2026-08-10T23:21:55.114861Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-10T23:21:55.082020Z","title":"Represe ntation of non-markovian optimal stop- ping problems by constrained BSDEs with a single jump","venue":null,"work_id":"f204f460-9607-4a85-837f-3441a7497404","year":null},"citing_paper":{"arxiv_id":"2412.20782","last_updated":"2024-12-30T08:05:28Z","snapshot_observed_at":"2026-08-11T06:25:03.749130Z","submitted_at":"2024-12-30T08:05:28Z","title":"A randomisation method for mean-field control problems with common noise","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:54.634178Z"},"links":{"citing_paper":"/paper/2412.20782"},"observation_digest":"sha256:3af13aaeaaf2597cf2e5d2082567e6bb9193bf4da561b26ddbfa39d594eae032","observation_id":"bfa08cf1-bfe2-4b5d-9d9e-aea3ee95c481","resolution":{"observed_at":"2026-08-10T23:21:55.091329Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-10T23:21:55.055127Z","title":"Shiryaev","venue":null,"work_id":"abdfb27f-e538-4df1-a4b6-39c48757ab8d","year":2003},"citing_paper":{"arxiv_id":"2412.20782","last_updated":"2024-12-30T08:05:28Z","snapshot_observed_at":"2026-08-11T06:25:03.749130Z","submitted_at":"2024-12-30T08:05:28Z","title":"A randomisation method for mean-field control problems with common noise","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:54.639522Z"},"links":{"citing_paper":"/paper/2412.20782"},"observation_digest":"sha256:1ca976cbcea90d4a68a5f40e914f88905e7b7cf9aea75948c9969ccd1e7fd457","observation_id":"df3517e4-c87f-45a5-a3cb-2c2b715fc205","resolution":{"observed_at":"2026-08-10T23:21:55.060498Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-10T23:21:55.029575Z","title":"Progressive Stochas tic Processes and an Application to the Itˆ o Integral","venue":null,"work_id":"1edd8c3b-a1e9-4714-97f4-4fd01c5e0143","year":2004},"citing_paper":{"arxiv_id":"2412.20782","last_updated":"2024-12-30T08:05:28Z","snapshot_observed_at":"2026-08-11T06:25:03.749130Z","submitted_at":"2024-12-30T08:05:28Z","title":"A randomisation method for mean-field control problems with common noise","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:54.645589Z"},"links":{"citing_paper":"/paper/2412.20782"},"observation_digest":"sha256:affd65b20aa3530419fcb86a2cfa280a4c1ef6f8cdd0a070e29831863eb4904d","observation_id":"bd0b304c-fc19-4362-93ca-35170fa76641","resolution":{"observed_at":"2026-08-10T23:21:55.037041Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-10T23:21:55.003743Z","title":null,"venue":null,"work_id":"7080d33b-9209-4982-9b14-1090554a89cd","year":1998},"citing_paper":{"arxiv_id":"2412.20782","last_updated":"2024-12-30T08:05:28Z","snapshot_observed_at":"2026-08-11T06:25:03.749130Z","submitted_at":"2024-12-30T08:05:28Z","title":"A randomisation method for mean-field control problems with common noise","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:54.651559Z"},"links":{"citing_paper":"/paper/2412.20782"},"observation_digest":"sha256:63ad98805fab8b8c2e11591d41995a8181343dc49146c2b117aa6faf79cace78","observation_id":"ac8dd4e2-1f2d-4bc5-a3d7-848f8ce0520e","resolution":{"observed_at":"2026-08-10T23:21:55.012523Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-10T23:21:54.976378Z","title":"A numerical algorithm for fully nonlinear HJB equations: An approach by control randomization","venue":null,"work_id":"48138b8e-75b1-4f01-83d7-9ba8af09d9e6","year":2014},"citing_paper":{"arxiv_id":"2412.20782","last_updated":"2024-12-30T08:05:28Z","snapshot_observed_at":"2026-08-11T06:25:03.749130Z","submitted_at":"2024-12-30T08:05:28Z","title":"A randomisation method for mean-field control problems with common noise","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:54.657343Z"},"links":{"citing_paper":"/paper/2412.20782"},"observation_digest":"sha256:ffa72a50301dfd1f6aabab33669728a239e0d6ee7e3ba48ec195ba689d1b2feb","observation_id":"d91376d7-712b-4fce-bf7d-a0db7874899b","resolution":{"observed_at":"2026-08-10T23:21:54.988341Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-10T23:21:54.950400Z","title":"Discrete time approximation of fully nonlinear HJB equations via BSDEs with nonpositive jumps","venue":null,"work_id":"3eb944af-a175-453f-9b52-5dfe54b15efa","year":2015},"citing_paper":{"arxiv_id":"2412.20782","last_updated":"2024-12-30T08:05:28Z","snapshot_observed_at":"2026-08-11T06:25:03.749130Z","submitted_at":"2024-12-30T08:05:28Z","title":"A randomisation method for mean-field control problems with common noise","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:54.668854Z"},"links":{"citing_paper":"/paper/2412.20782"},"observation_digest":"sha256:b56e4e96ef5251add3e63d7cd20255e6bd6802acb7569155eeece6e1bb83c627","observation_id":"676efbf3-c8f5-4831-a64d-062ed142d130","resolution":{"observed_at":"2026-08-10T23:21:54.958438Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-10T23:21:54.931373Z","title":"Backward SDEs with constrained jumps and quasi-variational inequalities","venue":null,"work_id":"5b049ed3-da0f-4af6-86fc-7a17149f0e88","year":null},"citing_paper":{"arxiv_id":"2412.20782","last_updated":"2024-12-30T08:05:28Z","snapshot_observed_at":"2026-08-11T06:25:03.749130Z","submitted_at":"2024-12-30T08:05:28Z","title":"A randomisation method for mean-field control problems with common noise","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:54.673682Z"},"links":{"citing_paper":"/paper/2412.20782"},"observation_digest":"sha256:35e85c1dedcc16d2abf1d7f0968a7fa0c7e38a5ad48455941212baf575e767fb","observation_id":"181d139e-b48a-4860-b53f-f74357c35f0b","resolution":{"observed_at":"2026-08-10T23:21:54.937226Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-10T23:21:54.912727Z","title":"Feynman–kac represen tation for hamilton–jacobi–bellman IPDE","venue":null,"work_id":"2bd1b56f-06d8-433c-b4f5-bb85eb8f2ec0","year":null},"citing_paper":{"arxiv_id":"2412.20782","last_updated":"2024-12-30T08:05:28Z","snapshot_observed_at":"2026-08-11T06:25:03.749130Z","submitted_at":"2024-12-30T08:05:28Z","title":"A randomisation method for mean-field control problems with common noise","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:54.679168Z"},"links":{"citing_paper":"/paper/2412.20782"},"observation_digest":"sha256:90516202889242ab24fce81e8801519e83bb1087cfd8d2528b543f726f2507a7","observation_id":"8a3369bd-3bef-43c8-b068-8676232d398b","resolution":{"observed_at":"2026-08-10T23:21:54.917937Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-10T23:21:54.891312Z","title":"Th´ eorie des jeux de champ moyen et applications","venue":null,"work_id":"b1b4e511-371c-4318-a005-35da229c95a4","year":2006},"citing_paper":{"arxiv_id":"2412.20782","last_updated":"2024-12-30T08:05:28Z","snapshot_observed_at":"2026-08-11T06:25:03.749130Z","submitted_at":"2024-12-30T08:05:28Z","title":"A randomisation method for mean-field control problems with common noise","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:54.686792Z"},"links":{"citing_paper":"/paper/2412.20782"},"observation_digest":"sha256:480eb3c8b3d3ff297a64806f50b72f2db7b1d54bcb178b0035ba122f9b1120bc","observation_id":"c417f919-513f-473e-bfd0-3e25c9d71117","resolution":{"observed_at":"2026-08-10T23:21:54.897024Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-10T23:21:54.868557Z","title":"Dynamic programming for opt imal control of stochastic McKean– vlasov dynamics","venue":null,"work_id":"87243865-1989-4a4d-a936-c615f48d711e","year":null},"citing_paper":{"arxiv_id":"2412.20782","last_updated":"2024-12-30T08:05:28Z","snapshot_observed_at":"2026-08-11T06:25:03.749130Z","submitted_at":"2024-12-30T08:05:28Z","title":"A randomisation method for mean-field control problems with common noise","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:54.694564Z"},"links":{"citing_paper":"/paper/2412.20782"},"observation_digest":"sha256:caee3c0486e63c51385454151f0eefbb5bf90293eef84c9d53c1b17ac415055a","observation_id":"0e091e4b-3ffb-4e1a-a6c4-8681805192fe","resolution":{"observed_at":"2026-08-10T23:21:54.874596Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-10T23:21:54.844928Z","title":"Bellman equation and viscos ity solutions for mean-field stochastic control problem","venue":null,"work_id":"989797a6-8a81-41ea-924a-c675f9aa5138","year":2018},"citing_paper":{"arxiv_id":"2412.20782","last_updated":"2024-12-30T08:05:28Z","snapshot_observed_at":"2026-08-11T06:25:03.749130Z","submitted_at":"2024-12-30T08:05:28Z","title":"A randomisation method for mean-field control problems with common noise","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:54.701702Z"},"links":{"citing_paper":"/paper/2412.20782"},"observation_digest":"sha256:d25f11c2224f68c8d12a0f13c477e071cd44c5be867c5e2486b0cf546657579b","observation_id":"3baf1ffe-4f85-4b13-bd9b-e08ac969ec86","resolution":{"observed_at":"2026-08-10T23:21:54.855149Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-10T23:21:54.815689Z","title":"Continuous Martingales and Brownian Motion , volume 293 of Grundlehren der mathematischen Wissenschaften","venue":null,"work_id":"6b8a788c-0d0e-4b82-8db6-0ca0e9435609","year":1999},"citing_paper":{"arxiv_id":"2412.20782","last_updated":"2024-12-30T08:05:28Z","snapshot_observed_at":"2026-08-11T06:25:03.749130Z","submitted_at":"2024-12-30T08:05:28Z","title":"A randomisation method for mean-field control problems with common noise","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:54.707081Z"},"links":{"citing_paper":"/paper/2412.20782"},"observation_digest":"sha256:6b487ebbcc64998f978b06ccbe5144a832f81f6971f7072761481cc47153bbde","observation_id":"ed107424-b0b4-482d-897f-c4218cc7cad7","resolution":{"observed_at":"2026-08-10T23:21:54.824697Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-10T23:21:54.789442Z","title":"Necessary conditions for optimal control of stochastic systems with random jumps","venue":null,"work_id":"5b8b0c9f-be0c-419a-a58b-9da8a709061e","year":null},"citing_paper":{"arxiv_id":"2412.20782","last_updated":"2024-12-30T08:05:28Z","snapshot_observed_at":"2026-08-11T06:25:03.749130Z","submitted_at":"2024-12-30T08:05:28Z","title":"A randomisation method for mean-field control problems with common noise","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:54.712773Z"},"links":{"citing_paper":"/paper/2412.20782"},"observation_digest":"sha256:1258766e2d84d4f3546d75e2b1794a78e941560aec526b5f153aca7e531508b6","observation_id":"bf6716d8-8a1f-48f7-8a86-32f2ade85e94","resolution":{"observed_at":"2026-08-10T23:21:54.797203Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-10T23:21:54.764680Z","title":"Dynamic portfolio optimization with liquidity cost and market impa ct: a simulation-and-regression approach","venue":null,"work_id":"9e3cddf1-4746-4642-b278-d0967677906d","year":2019},"citing_paper":{"arxiv_id":"2412.20782","last_updated":"2024-12-30T08:05:28Z","snapshot_observed_at":"2026-08-11T06:25:03.749130Z","submitted_at":"2024-12-30T08:05:28Z","title":"A randomisation method for mean-field control problems with common noise","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:54.718718Z"},"links":{"citing_paper":"/paper/2412.20782"},"observation_digest":"sha256:e648a2a527f314944223f258194b40312f568b68d3e196e2970fdd05e657cb53","observation_id":"2639a86f-1fa2-42d5-9d1e-479cfd37d1fc","resolution":{"observed_at":"2026-08-10T23:21:54.773178Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2412.20782","last_updated":"2024-12-30T08:05:28Z","latest_version":1,"primary_category":"math.OC","snapshot_observed_at":"2026-08-11T06:25:03.749130Z","submitted_at":"2024-12-30T08:05:28Z","title":"A randomisation method for mean-field control problems with common noise"},"reference_resolution":{"displayed":37,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":2,"verified_exact":0,"verified_fuzzy":35},"total_outbound_references":37},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 2 inbound Pith citation observations for arXiv:2412.20782."}