{"as_of":"2026-08-18T00:10:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:735ff7191048037ddd31a45e2fa71cdfe351001a5e87ad96a7cbb82ad55efd25","coverage":[{"denominator":65,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":65,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-26T03:22:59.891609Z","state":"measured"},{"denominator":66,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":66,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-17T06:30:58.91139+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-14T13:09:37.388826Z","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":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2606.27181","snapshot_observed_at":"2026-07-14T13:09:37.388826Z","title":"Bokanowski, J.-F","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.10254","last_updated":"2026-07-11T10:45:22Z","snapshot_observed_at":"2026-08-16T20:43:37.346793Z","submitted_at":"2026-07-11T10:45:22Z","title":"Neural feedback approximation for stochastic control with degenerate diffusions: error estimates and numerical analysis","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-07-14T13:09:37.388826Z"},"links":{"cited_paper":"/paper/2606.27181","citing_paper":"/paper/2607.10254"},"observation_digest":"sha256:efae955fde24f9aa07ac124c9f2efd8be2366ee267259cc556908b2ca18d9606","observation_id":"7119336b-2575-42af-b503-9ebf4ab158da","resolution":{"observed_at":"2026-07-14T13:09:37.388826Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2606.27181/citation-record","integrity":"/paper/2606.27181/integrity","json":"/paper/2606.27181/citation-record.json","paper":"/paper/2606.27181"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T03:22:59.891609Z","title":"The Annals of Applied Probability , number =","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:60d1f29f2f833fe214c15f1a38ad2096941c3e05d51d906d32ae5687e1ac7094","observation_id":"c4edbda3-3f19-466e-b2fe-2a399ff95ff2","resolution":{"observed_at":"2026-06-26T03:22:59.891609Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T03:22:59.891609Z","title":"Stochastic Differential Equations (Lecture Series in Differential Equations, Session 7, Catholic Univ., 1967) , pages=","venue":null,"work_id":null,"year":1967},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:3260b87960947ec1d143f49c1e6fee56ee962c226f07ba5c365d73e780b5ee22","observation_id":"4abe2fb9-b6e5-4094-8aec-68a28880a8f5","resolution":{"observed_at":"2026-06-26T03:22:59.891609Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T03:22:59.891609Z","title":"Large population stochastic dynamic games: closed-loop","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:274870b8debd5b58dbfc2e6af59e8ae4e1e1725a39eb03426049fdf829559534","observation_id":"a1bf734d-8e8e-41fc-a428-da1e79ccaa4c","resolution":{"observed_at":"2026-06-26T03:22:59.891609Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2309.04317","last_updated":"2023-09-08T13:29:57Z","snapshot_observed_at":"2026-08-16T15:02:15.855415Z","submitted_at":"2023-09-08T13:29:57Z","title":"Actor critic learning algorithms for mean-field control with moment neural networks","version":1},"cited_work":{"arxiv_id":"2309.04317","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2309.04317","snapshot_observed_at":"2026-07-04T14:39:57.162923Z","title":"Pham and X","venue":null,"work_id":"5832adef-5248-4e84-aabf-07e6a7eec664","year":2023},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"cited_paper":"/paper/2309.04317","citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:ac967a0b3baadc9c06bc8e4b1e9130bed16fd358676e15f3a916c1a196df0359","observation_id":"17cc21b8-fd69-4e05-95f2-6a79e220769b","resolution":{"observed_at":"2026-07-04T14:39:57.164509Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-06-26T03:22:59.891609Z","title":"ESAIM: Control, Optimisation and Calculus of Variations , volume=","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:fffb98c040bd7968d567df675b7858443d2d0396e64c61305f107af3982ae789","observation_id":"dcd93d43-1f96-4dd9-8a07-426656ffb8f1","resolution":{"observed_at":"2026-06-26T03:22:59.891609Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T03:22:59.891609Z","title":"Discrete time","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:621331786ba63970f5184b42137520cbfe8ae164530b92522b9e94fb62f26e5a","observation_id":"7b235991-5a19-4be2-a38f-9cbfdaa00573","resolution":{"observed_at":"2026-06-26T03:22:59.891609Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T03:22:59.891609Z","title":"Probabilistic Theory of Mean Field Games with Applications","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:35646afbc45b5da03ec4d596c003f435b7c22f1d749537efc15bf926869b7e6d","observation_id":"5cfd292a-399b-44ff-b175-d2091a45648a","resolution":{"observed_at":"2026-06-26T03:22:59.891609Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T03:22:59.891609Z","title":"Forward-backward stochastic differential equations and controlled","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:b67d83cfb69f115d3c285c88e27961c254ece965a828d497303ac9278adfe8a1","observation_id":"8a4d88a3-59c9-4c3a-b645-5937ece32e9c","resolution":{"observed_at":"2026-06-26T03:22:59.891609Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T03:22:59.891609Z","title":"Japanese Journal of Mathematics , volume=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:3be556cd01d5084539f285f6b3f2af2b74bfbcba992964d7294b22cd31971251","observation_id":"3343197e-e8f5-4210-997d-19fe9cbd5431","resolution":{"observed_at":"2026-06-26T03:22:59.891609Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T03:22:59.891609Z","title":"2013 , publisher=","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:e8e28752047c368c3c2de2cf743d195c52763076910a674af2631934614693a7","observation_id":"65d9f1dd-8e5b-4bff-9793-fd85755628f8","resolution":{"observed_at":"2026-06-26T03:22:59.891609Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T03:22:59.891609Z","title":"SIAM Journal on Control and Optimization , volume=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:b2e546449e31b406f89a221df61feaccf8821895b27fd8ad655ba88f55d925de","observation_id":"247b4ac7-ccf3-4431-a24b-5c09bca616f7","resolution":{"observed_at":"2026-06-26T03:22:59.891609Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T03:22:59.891609Z","title":"Ecole d'","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:79f7a3b683ad6f430755654a4142b99835a51363fb22405d7e244d5dcb5e893c","observation_id":"8525d835-c550-4907-9c1c-e301de1a331a","resolution":{"observed_at":"2026-06-26T03:22:59.891609Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T03:22:59.891609Z","title":"Proceedings of the National Academy of Sciences , volume=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:1332905e42e7df0eab9d224631ef0f532be5509b98e5b30ba005ae0956fe6231","observation_id":"591c6d59-5904-4e82-ae37-b607e62b9075","resolution":{"observed_at":"2026-06-26T03:22:59.891609Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T03:22:59.891609Z","title":"Communications in Mathematics and Statistics , volume=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:2c5a434795c2af6cbdb12793e22bcc22efa8e2786fc0559b93e1bdcbbe7fc812","observation_id":"91c217d2-58d6-4925-bec9-f62ae3c3c60b","resolution":{"observed_at":"2026-06-26T03:22:59.891609Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2503.17869","last_updated":"2025-03-22T22:07:59Z","snapshot_observed_at":"2026-08-16T12:47:41.716973Z","submitted_at":"2025-03-22T22:07:59Z","title":"Learning algorithms for mean field optimal control","version":1},"cited_work":{"arxiv_id":"2503.17869","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2503.17869","snapshot_observed_at":"2026-07-04T14:39:57.166065Z","title":"Mete Soner, Josef Teichmann, and Qinxin Yan","venue":null,"work_id":"8b44504e-8f48-4399-bffa-47195567fe12","year":2025},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"cited_paper":"/paper/2503.17869","citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:9dbdaa0eb9c39b4fbf3ee67e45bc4c5f93074378e3a53db4549eca17cd18d23c","observation_id":"688a4f95-ad2e-4742-9585-0ddc0fe43766","resolution":{"observed_at":"2026-07-04T14:39:57.167600Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2509.00904","last_updated":"2025-08-31T15:34:24Z","snapshot_observed_at":"2026-08-14T22:00:56.331786Z","submitted_at":"2025-08-31T15:34:24Z","title":"Convergence Rates of Time Discretization in Extended Mean Field Control","version":1},"cited_work":{"arxiv_id":"2509.00904","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2509.00904","snapshot_observed_at":"2026-07-04T14:39:57.157083Z","title":"arXiv preprint arXiv:2509.00904 , year=","venue":null,"work_id":"c063d413-b808-47da-a217-d29704c14e58","year":null},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"cited_paper":"/paper/2509.00904","citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:66d09f1377c16367f3e90a769008cd7516e655b6b4203073760f39b10509b73c","observation_id":"f0252c41-5301-4582-a49f-e357b7a1e6ad","resolution":{"observed_at":"2026-07-04T14:39:57.158934Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-06-26T03:22:59.891609Z","title":"Electronic Communications of Probability , volume =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:84dfdde48c8da90689da8cc09466f2280146d31e918a8968c1ad2d753f8c6188","observation_id":"9896f3ba-ec63-45e5-bf95-0219d7005daf","resolution":{"observed_at":"2026-06-26T03:22:59.891609Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T03:22:59.891609Z","title":"Approximating value functions for controlled degenerate diffusion processes by using piece-wise constant policies , journal =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:a7dd084ef4b41977c8340cdac01590e14ebd447db5dd74fa14e9dd079710a138","observation_id":"5ba5e488-26d5-480f-a157-71fd13afc913","resolution":{"observed_at":"2026-06-26T03:22:59.891609Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T03:22:59.891609Z","title":"Optimal control of path-dependent","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:d3c1654c0f918ec71475d4eabfb502bc84aff2282d42165b91a5fa56a7023e72","observation_id":"7a7f700d-7664-405e-9d7c-d215109c0ea7","resolution":{"observed_at":"2026-06-26T03:22:59.891609Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T03:22:59.891609Z","title":"Mathematics and Computers in Simulation , volume=","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:31897933f1cddc0fa281d59cc735a8042ad2599c337554c6c273f1ccf9cb0a28","observation_id":"2bfcb077-67df-49e3-8c98-e5ef1c2866fb","resolution":{"observed_at":"2026-06-26T03:22:59.891609Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T03:22:59.891609Z","title":"Probability and Stochastic Modelling","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:9fa18443ebd23cde67235bae58372a64dc324822b631ab2ae64fac3959c4a2aa","observation_id":"cf775890-4be9-4942-a5e4-50ef912edf09","resolution":{"observed_at":"2026-06-26T03:22:59.891609Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T03:22:59.891609Z","title":"2008 , publisher=","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:d08322c47930641072d454f16bfffa965372d958faab9f35233d4377bdaa588f","observation_id":"59c9a55c-0b0d-4655-8ed3-7e23863774b4","resolution":{"observed_at":"2026-06-26T03:22:59.891609Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T03:22:59.891609Z","title":"On the rate of convergence in","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:33923e80385b305d7d21471783996f3f64e0ad6c439be077b588186b80cabda2","observation_id":"a920c19f-e2ed-44a9-a2ff-ef12c3380214","resolution":{"observed_at":"2026-06-26T03:22:59.891609Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T03:22:59.891609Z","title":"Zero-sum stochastic differential games of generalized","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:ae45c736d1cddb86023f5d526b5ebd8c768544dd1a6c92d56027a3788ecd9ba6","observation_id":"47dc9ca2-9c27-4e78-ba81-f1b0d140dbb6","resolution":{"observed_at":"2026-06-26T03:22:59.891609Z","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":"2503.20510","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-04T14:39:57.151048Z","title":"arXiv preprint arXiv:2503.20510 , year=","venue":null,"work_id":"9e7415bb-7432-489e-9a78-6ccd990084a3","year":null},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:e2119e1d5a88df1d092c968c681d03d3447788e983215d4f242f0c54f43024f8","observation_id":"c6401f5c-468c-49a8-9465-45ea5342edfb","resolution":{"observed_at":"2026-07-04T14:39:57.152848Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-06-26T03:22:59.891609Z","title":"1996 , publisher=","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:fac54a401a7db67a707b49e20b5298897a298a41ebc8603f488ab0dd72eba4a5","observation_id":"ae641c40-d793-40b6-841f-6b2e628a319c","resolution":{"observed_at":"2026-06-26T03:22:59.891609Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2212.11518","last_updated":"2024-03-19T13:41:15Z","snapshot_observed_at":"2026-08-16T16:06:44.586275Z","submitted_at":"2022-12-22T07:39:40Z","title":"Mean-field neural networks-based algorithms for McKean-Vlasov control problems *","version":2},"cited_work":{"arxiv_id":"2212.11518","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2212.11518","snapshot_observed_at":"2026-07-04T14:39:57.147659Z","title":"Mean-field neural networks-based algorithms for McKean-Vlasov control problems","venue":null,"work_id":"f91c781b-3ffe-4de9-8a6c-5177eb96764e","year":2022},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"cited_paper":"/paper/2212.11518","citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:aed72b63a4592750393c16ea84a0da1137e6952c695f171f49dc025adba0a03c","observation_id":"e5d12273-359e-4288-8eba-9defb8ed54c9","resolution":{"observed_at":"2026-07-04T14:39:57.149646Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-06-26T03:22:59.891609Z","title":"2002 , isbn =","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:31878d96745ee836d89a208f4e4c58a286f415a2fcee585249b84bc45b7284ac","observation_id":"893abf01-6538-4fb5-a6ff-4c74f917e2be","resolution":{"observed_at":"2026-06-26T03:22:59.891609Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T03:22:59.891609Z","title":"2017 , publisher=","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:e118eb70f14659d259be1b96fe2565dc13d07dcb291a88647e375d027944fbf8","observation_id":"2c6712ee-7a49-4fee-a3a4-131394859ac3","resolution":{"observed_at":"2026-06-26T03:22:59.891609Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T03:22:59.891609Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:85bb53016bc425cb501cd50c0096fae4fcc0581be21958a9197e7fb69257706b","observation_id":"ca11070b-b0a9-495b-b6f9-a584c5c7f33b","resolution":{"observed_at":"2026-06-26T03:22:59.891609Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T03:22:59.891609Z","title":"Computers & Mathematics with Applications , volume =","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:1cc29dd106e03eefb9136b8018c60e954bc503bbfe00bd2ffeef4aeb9d4892db","observation_id":"f33963c8-6f9d-42f3-92f8-1f7f89b1225b","resolution":{"observed_at":"2026-06-26T03:22:59.891609Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T03:22:59.891609Z","title":"2005 , publisher =","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:d616eff884f965d3f5e3ccf0204a9dc52c422cd9c453fb08aa11c0c384d4d8b8","observation_id":"b73ad4ef-0755-4bb5-a93b-be7f5efc090e","resolution":{"observed_at":"2026-06-26T03:22:59.891609Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T03:22:59.891609Z","title":"1998 , publisher =","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:2ce518ebfb760e11a5d8c0acd778983ae13667c420064ef9bdad50df2cf67f16","observation_id":"0be346c6-02c8-469d-836b-2d8ca5a9e097","resolution":{"observed_at":"2026-06-26T03:22:59.891609Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T03:22:59.891609Z","title":"Journal of Risk , volume =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:e3fbc44cf7580b95f1b978ae6d2381ee87cdfa65d00eb255e8910d3acd490ef0","observation_id":"1a6272a9-3b91-48f1-ab08-0f41982c1be1","resolution":{"observed_at":"2026-06-26T03:22:59.891609Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T03:22:59.891609Z","title":"1993 , publisher =","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:d5347c308781dd5596e0b609d4726b2b251f47e226b0601c3b711422f69fa0c6","observation_id":"88b157dd-93b7-4ced-b22c-669a6d8733cd","resolution":{"observed_at":"2026-06-26T03:22:59.891609Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T03:22:59.891609Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:452f96092b80f6339c12033632405bdd56e6bd9b1912274e756a283f7151a869","observation_id":"ee12b21d-647e-4b9a-b99f-34d7013fab17","resolution":{"observed_at":"2026-06-26T03:22:59.891609Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T03:22:59.891609Z","title":"2008 , publisher =","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:dbd1ba601b571a8acb1e94f16cea3ff8ab6766e2528fb0fe0eed6cee0e644d6a","observation_id":"296d772f-6bd2-452c-b856-6c1398d167a6","resolution":{"observed_at":"2026-06-26T03:22:59.891609Z","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":"10.1080/17442508708833443","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Compactification methods in the control of degenerate diffusions:","venue":"Stochastics","work_id":"5720330c-b860-4deb-943f-ebc66360058e","year":1987},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:f534c82938238919df337fb74a2a1773886e795b5eefff69b690044e87cbc116","observation_id":"6a46c316-cf55-4145-b294-d28d9fa4058f","resolution":{"observed_at":"2026-06-26T03:28:57.512432Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-06-26T03:22:59.891609Z","title":"Journal of Scientific Computing , volume=","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:2c31ea60402d9e6f2dd66800b6ffe9ad3cdb201a7ad42649eeb14b95f75115c7","observation_id":"6105371c-6753-416d-98cd-44c659dd9e74","resolution":{"observed_at":"2026-06-26T03:22:59.891609Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T03:22:59.891609Z","title":"Numerical resolution of","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:afa33e8cbde2f5c96d0476c216c218b5b0de3367a4ec353f2f4adc2dd1f921ca","observation_id":"3bd8d5d4-671d-4168-9ea7-83a85cf2ee5d","resolution":{"observed_at":"2026-06-26T03:22:59.891609Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T03:22:59.891609Z","title":"Learning high-dimensional","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:d33290b07187301f912255fbb2ff75034c4c4906cd59e3be9d59ad9360451952","observation_id":"f4cadb7e-5f8b-43d4-aaa8-7db2db036eb4","resolution":{"observed_at":"2026-06-26T03:22:59.891609Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2306.04788","last_updated":"2023-11-20T18:34:13Z","snapshot_observed_at":"2026-08-16T15:25:40.821308Z","submitted_at":"2023-06-07T21:20:00Z","title":"Deep Learning for Population-Dependent Controls in Mean Field Control Problems with Common Noise","version":2},"cited_work":{"arxiv_id":"2306.04788","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2306.04788","snapshot_observed_at":"2026-07-04T14:39:57.160140Z","title":"arXiv preprint arXiv:2306.04788 , year=","venue":null,"work_id":"b42906fd-b583-4497-924a-e44c5c8c7347","year":2023},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"cited_paper":"/paper/2306.04788","citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:0f1933c194613a85a9f72f07dff902275fe9fb94188ebd365b0927707223c9be","observation_id":"7345d816-ce27-4c50-8213-dc464a262416","resolution":{"observed_at":"2026-07-04T14:39:57.161817Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-06-26T03:22:59.891609Z","title":"A fast iterative","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":43,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:3e224dffd21b125c3b5a4d052230dbb3ff0524a5ae0dedc91a26ef20f849494a","observation_id":"bd4f5138-16d7-40b2-8ac0-78bc58788ca5","resolution":{"observed_at":"2026-06-26T03:22:59.891609Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T03:22:59.891609Z","title":"Dayanikli and M","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":44,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:f529639753ac330fcda91e6e7b1a934720171a0ec257851ee0c7c587649db1af","observation_id":"3ef04e67-3f65-4a80-af00-13adef7a52f2","resolution":{"observed_at":"2026-06-26T03:22:59.891609Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T03:22:59.891609Z","title":"Frontiers in Applied Mathematics and Statistics , volume=","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":45,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:98724c911374327890378aebb11b9d003810cda46efc932ddfa053f890dedaf9","observation_id":"208e2b60-f89a-4ba3-9d8b-bf2d5f87fe92","resolution":{"observed_at":"2026-06-26T03:22:59.891609Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T03:22:59.891609Z","title":"The Annals of Applied Probability , volume=","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":46,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:c142aff515aa117bbfb05537f7bc6cbea73a12246f4a5e95789398e6b67a1177","observation_id":"b01ab5c0-0f05-409c-af13-802cdc574518","resolution":{"observed_at":"2026-06-26T03:22:59.891609Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T03:22:59.891609Z","title":"Journal of Machine Learning Research , volume=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":47,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:cfcd2d45e4ac98c1a825a9d1b2904c10db59a6dae3c607dbb84ef5a16ed910c0","observation_id":"eb4f5b72-acb3-42d9-95e3-6c94b2041daf","resolution":{"observed_at":"2026-06-26T03:22:59.891609Z","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":"2601.11217","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-04T14:39:57.168841Z","title":"arXiv preprint arXiv:2601.11217 , year=","venue":null,"work_id":"91c59cf8-d297-466a-b2ac-2250be5950e6","year":2026},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":48,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:4a56b70e6914ef1b2e7fd01799bc54fd44e9fcdc5c9e2c6661924d2dfdbc8640","observation_id":"a52b2bf3-aa1a-4227-8dbc-2556c563e8e4","resolution":{"observed_at":"2026-07-04T14:39:57.170642Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2107.04568","last_updated":"2021-07-09T17:40:11Z","snapshot_observed_at":"2026-08-16T21:08:12.115059Z","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":"2107.04568","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2107.04568","snapshot_observed_at":"2026-07-04T14:39:57.154053Z","title":"Deep learning for mean field games and mean field control with applications to finance","venue":null,"work_id":"1f73abb1-64ae-4533-b6e8-432baaa9d11b","year":2021},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":49,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"cited_paper":"/paper/2107.04568","citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:4d61ab83525ba7e673dabbba606b88ad405583377af06e546aacf87bc6d95b84","observation_id":"2cf527d0-17fb-49b5-8fe7-12216e37cd51","resolution":{"observed_at":"2026-07-04T14:39:57.155907Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-06-26T03:22:59.891609Z","title":"Electronic Journal of Probability , volume=","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":50,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:994dcf7148fb6956cfa25951b1f75ab9307e9dab1f8e80533119c92b8d6c3ecf","observation_id":"61c4b965-df3b-46fa-a475-cc18b8ee4f5c","resolution":{"observed_at":"2026-06-26T03:22:59.891609Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T03:22:59.891609Z","title":"Communications in Mathematical Sciences , volume=","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":51,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:6a8d152bbdfb5e2e6e776adccf89ada9a8761f65f76477c04cb584bd4f56c35b","observation_id":"cbb8490c-5cf9-48fe-8156-b4bca9aa95bb","resolution":{"observed_at":"2026-06-26T03:22:59.891609Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T03:22:59.891609Z","title":"SIAM Journal on Applied Mathematics , volume=","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":52,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:33c461bf2c0579ada9e6d1fd22ce7e126f5fc7f9116a3484e25018631b298e80","observation_id":"01c256c4-93c7-4c3b-99c2-d6dd5eea2c87","resolution":{"observed_at":"2026-06-26T03:22:59.891609Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T03:22:59.891609Z","title":"Bioinspiration & Biomimetics , volume=","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":53,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:68794bc188f0ecb6684d574357bb41528e179d3e8cdbbe930d36c6267fdf536a","observation_id":"50ffb0b1-2dd9-4542-9e2a-bf8e447a2acd","resolution":{"observed_at":"2026-06-26T03:22:59.891609Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T03:22:59.891609Z","title":"Contributions to Partial Differential Equations and Applications , series=","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":54,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:6bf53bf42f798b2b22c9527dc8b9334f92d9044b9f0798a52143057448e9df90","observation_id":"524dc534-53b0-422b-97ce-32501532d83a","resolution":{"observed_at":"2026-06-26T03:22:59.891609Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T03:22:59.891609Z","title":"ESAIM: Control, Optimisation and Calculus of Variations , volume=","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":55,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:26eb086fdf9c33ef93dcb40930f00095a2de3b21228b933a7167846dfdca96f6","observation_id":"296b4f17-9115-4735-b3e6-83845e8d9724","resolution":{"observed_at":"2026-06-26T03:22:59.891609Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T03:22:59.891609Z","title":"Quantitative Finance , volume=","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":56,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:73ad27efbe812b701899126a6568c77d6f7ba58f365ce7e857dc29185e52593e","observation_id":"1dd1571a-9bc9-47c1-8519-907128fcd6bb","resolution":{"observed_at":"2026-06-26T03:22:59.891609Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T03:22:59.891609Z","title":"Quantitative Finance , volume=","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":57,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:9939739b341169533c6d13a742dbecd54a0b7feb8107270466d93bd1a05254ed","observation_id":"b8a19622-46a2-4c11-9786-bb1df20c5456","resolution":{"observed_at":"2026-06-26T03:22:59.891609Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T03:22:59.891609Z","title":"Management Science , volume=","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":58,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:401511c2df32b87411f6e38686e5d21045264a028b0d1264e8ac51986514e4e2","observation_id":"a4f478e5-245b-4bac-bffa-e8f9595c882e","resolution":{"observed_at":"2026-06-26T03:22:59.891609Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T03:22:59.891609Z","title":null,"venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":59,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:214b187dca1189f596318ffc54c3ac7032e25650f2dd62d05a305652fccc300a","observation_id":"63393c8a-8dc0-492e-9879-58f49ecab65d","resolution":{"observed_at":"2026-06-26T03:22:59.891609Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T03:22:59.891609Z","title":"The Journal of Finance , volume=","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":60,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:48447023c3885cf631eca6df84ece9c88a98ba1b4544d3ea78d972613dbdf0e1","observation_id":"2dbb9b4c-5f55-4314-b4eb-13e4dc4a967a","resolution":{"observed_at":"2026-06-26T03:22:59.891609Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T03:22:59.891609Z","title":"Mean-field controls with","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":61,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:b96aa40daf0c80e62500f8103a1feaf375935d2eb779c1ef9e54cf7a845d0dea","observation_id":"49147b39-1491-4d8b-9d9b-62f06562a50a","resolution":{"observed_at":"2026-06-26T03:22:59.891609Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2605.10313","last_updated":"2026-05-11T10:13:52Z","snapshot_observed_at":"2026-08-11T04:21:45.480428Z","submitted_at":"2026-05-11T10:13:52Z","title":"Signature Approach for Contextual Bandits with Nonlinear and Path-dependent Rewards","version":1},"cited_work":{"arxiv_id":"2605.10313","doi":null,"metadata_source":"pith","pith_arxiv_id":"2605.10313","snapshot_observed_at":"2026-07-04T14:39:57.145188Z","title":"Signature Approach for Contextual Bandits with Nonlinear and Path-dependent Rewards","venue":"cs.LG","work_id":"0420bd6d-b0c1-4f92-800f-b9367b26c149","year":2026},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":62,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"cited_paper":"/paper/2605.10313","citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:4c69a6784fee9edb6fef6cb3fabd52e4a78dd1961b11c5509c8c02d9b8889f55","observation_id":"6d1c7d10-fef3-41a5-9396-e06a78f609dd","resolution":{"observed_at":"2026-07-04T14:39:57.146425Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-06-26T03:22:59.891609Z","title":"Proceedings of the 30th ACM SIGKDD Conference on Knowledge Discovery and Data Mining , pages=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":63,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:948c2de1ffadd580d09b3f5b2932f7e5b42529a9479465efe128d2424fafbb19","observation_id":"3bf3dc2f-fbbc-4044-9d30-b51c6f7353f2","resolution":{"observed_at":"2026-06-26T03:22:59.891609Z","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":"10.1016/j.spa.2023.02.004","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"2023 , issn =","venue":"Stochastic Processes and their Applications","work_id":"710941a7-380d-4462-80cc-758107564c89","year":2023},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":64,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:f8c17ab67bf293753ddb1812cd71fc35f41b1cabd84bfb37f399ba67959402a5","observation_id":"86548d5e-4bc8-4521-a361-a0627ecf0b3e","resolution":{"observed_at":"2026-06-26T03:28:57.514447Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-06-26T03:22:59.891609Z","title":"2009 , publisher=","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates","version":1},"reference_index":65,"source":"arxiv_source","source_observed_at":"2026-06-26T03:22:59.891609Z"},"links":{"citing_paper":"/paper/2606.27181"},"observation_digest":"sha256:ad4f3a5e0d1b9e73627d4a4c73ca1c989a2c4226ef23a31eba2b6b894c535c37","observation_id":"0aa46e8b-ae7a-4761-af31-382c90be565b","resolution":{"observed_at":"2026-06-26T03:22:59.891609Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2606.27181","last_updated":"2026-06-25T15:46:27Z","latest_version":1,"primary_category":"math.OC","snapshot_observed_at":"2026-08-16T20:42:50.084836Z","submitted_at":"2026-06-25T15:46:27Z","title":"Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates"},"reference_resolution":{"displayed":65,"state_counts":{"malformed_identifier":0,"metadata_mismatch":4,"parse_uncertain":0,"unresolved":54,"verified_exact":7,"verified_fuzzy":0},"total_outbound_references":65},"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":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 65 of 65 outbound references and 1 inbound Pith citation observation for arXiv:2606.27181."}