{"as_of":"2026-08-09T01:50:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:e6e119702634ce4efd4fe121fd7535b66a001d912230d9a62321b7147f4aeba0","coverage":[{"denominator":53,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":53,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T20:39:59.637427Z","state":"measured"},{"denominator":57,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":57,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":4,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-03T05:41:54.207216Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-25T07:50:29.467642Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"cited_work":{"arxiv_id":"2507.02518","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2507.02518","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Exponential ergodicity in relative entropy andL 2-Wasserstein distance for non-equilibrium partially dissipative kinetic SDEs","venue":null,"work_id":"908cfef3-831c-48b8-94a2-7abaf9c98a3f","year":2025},"citing_paper":{"arxiv_id":"2512.18598","last_updated":"2026-05-21T18:21:50Z","snapshot_observed_at":"2026-08-02T10:43:01.782589Z","submitted_at":"2025-12-21T05:10:01Z","title":"Long-time reverse transportation inequalities for non-globally-dissipative Langevin dynamics","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-05-25T07:46:49.641026Z"},"links":{"cited_paper":"/paper/2507.02518","citing_paper":"/paper/2512.18598"},"observation_digest":"sha256:f76e53b458e3ef7f62c0dfe91187194a8d53a4901dab2b2c85c396381f1113de","observation_id":"b885b1b2-acc6-4f85-94ee-3ad6d8da4d21","resolution":{"observed_at":"2026-05-25T07:50:29.470466Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2507.02518","snapshot_observed_at":"2026-08-03T05:41:54.207216Z","title":"Exponential ergodicity in relative entropy and l^ 2 -wasserstein distance for non-equilibrium partially dissipative kinetic sdes","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2602.01564","last_updated":"2026-07-02T08:10:11Z","snapshot_observed_at":"2026-08-05T14:57:17.882619Z","submitted_at":"2026-02-02T02:58:17Z","title":"Local exponential stability of mean-field Langevin descent-ascent and associated particle system","version":2},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-03T05:41:54.207216Z"},"links":{"cited_paper":"/paper/2507.02518","citing_paper":"/paper/2602.01564"},"observation_digest":"sha256:d0fc1ffa181c8b27b6a109173ddc5a87d273034a68d2e50b292f96524414917c","observation_id":"f3101ec6-f8d2-431e-94f8-a8991ec052ac","resolution":{"observed_at":"2026-08-03T05:41:54.207216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"cited_work":{"arxiv_id":"2507.02518","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2507.02518","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Exponential ergodicity in relative entropy andL 2-Wasserstein distance for non-equilibrium partially dissipative kinetic SDEs","venue":null,"work_id":"908cfef3-831c-48b8-94a2-7abaf9c98a3f","year":2025},"citing_paper":{"arxiv_id":"2603.00773","last_updated":"2026-04-03T14:42:36Z","snapshot_observed_at":"2026-07-06T22:47:24.369805Z","submitted_at":"2026-02-28T18:37:48Z","title":"Long-time $L^p$ Wasserstein contraction for diffusion processes without global dissipativity","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-05-15T18:05:26.058203Z"},"links":{"cited_paper":"/paper/2507.02518","citing_paper":"/paper/2603.00773"},"observation_digest":"sha256:1f7b632a8635e375a6785fb1feab51d1d39621bba29b5f937a0913ec451fcfb9","observation_id":"546003eb-f193-4bb7-abf2-592bb77e5566","resolution":{"observed_at":"2026-05-15T18:06:25.263274Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2507.02518","snapshot_observed_at":"2026-08-02T03:31:24.188327Z","title":"[HM11] Martin Hairer and Jonathan C","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2607.13953","last_updated":"2026-07-15T15:40:08Z","snapshot_observed_at":"2026-08-08T03:13:24.626446Z","submitted_at":"2026-07-15T15:40:08Z","title":"Log-Sobolev inequalities for boundary-driven anharmonic chains","version":1},"reference_index":2025,"source":"pdf_text","source_observed_at":"2026-08-02T03:31:24.188327Z"},"links":{"cited_paper":"/paper/2507.02518","citing_paper":"/paper/2607.13953"},"observation_digest":"sha256:dcc3a73dcf8f1ebe6fda516a567ab4119c958c3154877a2cb0805aa3ae7b0b2c","observation_id":"118a5ee7-936b-4c4c-8dd6-3115b4ebdc34","resolution":{"observed_at":"2026-08-02T03:31:24.188327Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2507.02518/citation-record","integrity":"/paper/2507.02518/integrity","json":"/paper/2507.02518/citation-record.json","paper":"/paper/2507.02518"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:40:08.788502Z","title":"Albritton, S","venue":null,"work_id":"b8e89dd2-d8b0-4c08-97d7-27a4afe941d4","year":2024},"citing_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T20:39:54.827154Z"},"links":{"citing_paper":"/paper/2507.02518"},"observation_digest":"sha256:16a64efdd16dfcc6a6635c81a23f80b02b01bac2110760f2c2c3fc5fb8e1d804","observation_id":"9662efbc-75c8-4ba1-9619-d7659a971086","resolution":{"observed_at":"2026-08-06T20:40:08.876786Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:40:08.485714Z","title":"Bakry, M","venue":null,"work_id":"98607c3d-9643-4af5-b35c-2e13dcb6edce","year":1983},"citing_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T20:39:54.918403Z"},"links":{"citing_paper":"/paper/2507.02518"},"observation_digest":"sha256:658862b62e31f9e50677cf2d4da4b35870af959c50b3cca439b15e3c6f0e1329","observation_id":"d9e8c935-5cd5-449f-b831-3cf3f8b08426","resolution":{"observed_at":"2026-08-06T20:40:08.618931Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:40:08.222771Z","title":"Bakry, I","venue":null,"work_id":"c31ef8f0-f4ee-4d76-a295-7dc0c2bfa93d","year":2014},"citing_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T20:39:55.011365Z"},"links":{"citing_paper":"/paper/2507.02518"},"observation_digest":"sha256:b25b6d0e3eb96bcdd9ea2ba07c1796eaceb43cfe944a7e67cca7f0108c5bf8c1","observation_id":"6363f022-11dd-4cd2-beb9-83c9b9193ba9","resolution":{"observed_at":"2026-08-06T20:40:08.345346Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:40:07.994974Z","title":"Bao, F.-Y","venue":null,"work_id":"ad4e585b-a450-4993-895d-6fa4c10992d0","year":2015},"citing_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T20:39:55.089076Z"},"links":{"citing_paper":"/paper/2507.02518"},"observation_digest":"sha256:7c5ce08e72d196423a7acb9ba21038eb7953dd2bdb89b1798207a910da9bb976","observation_id":"3a7e0a8c-50d8-4851-b8dc-d0fda0789e7d","resolution":{"observed_at":"2026-08-06T20:40:08.082167Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:40:07.765731Z","title":"Baudoin, Bakry–´ emery meet villani, J","venue":null,"work_id":"4cc4f8fd-2305-4c8f-819c-a6a4383a5d9b","year":2017},"citing_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T20:39:55.179174Z"},"links":{"citing_paper":"/paper/2507.02518"},"observation_digest":"sha256:33f7995b75b7e48494c22aba4cb2d201575086cf700e86f86ad4645f23b10689","observation_id":"8ce032cc-8c95-4f12-bf0b-178cc8520db8","resolution":{"observed_at":"2026-08-06T20:40:07.910720Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:40:07.599938Z","title":"Bernard, M","venue":null,"work_id":"1e1720f1-3c6e-45b5-a1ef-254c3282a48b","year":2022},"citing_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T20:39:55.271505Z"},"links":{"citing_paper":"/paper/2507.02518"},"observation_digest":"sha256:4dd60289a6f06be335bf5bb9f29f90c3b27acda418b28ab0a776fbef772f28d0","observation_id":"e2e7c8a9-83f9-4d17-b347-80456c100658","resolution":{"observed_at":"2026-08-06T20:40:07.682374Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:40:07.442081Z","title":"Bonetto, J","venue":null,"work_id":"41446d2a-e588-48b3-91b6-5063e6b3b401","year":2000},"citing_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T20:39:55.365809Z"},"links":{"citing_paper":"/paper/2507.02518"},"observation_digest":"sha256:62d8ea9be08adb9c830e1d3405ed549f251a5a0006ab0ade4fa731b0805b53e5","observation_id":"b8f3df0a-06d0-4f69-ab87-2ca43a63510f","resolution":{"observed_at":"2026-08-06T20:40:07.518363Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2412.10890","last_updated":"2025-02-06T13:58:17Z","snapshot_observed_at":"2026-08-06T09:10:23.466933Z","submitted_at":"2024-12-14T16:39:02Z","title":"Hypocoercivity meets lifts","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.10890","snapshot_observed_at":"2026-08-06T20:39:55.473435Z","title":"Brigati, F","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T20:39:55.473435Z"},"links":{"cited_paper":"/paper/2412.10890","citing_paper":"/paper/2507.02518"},"observation_digest":"sha256:4309c9ab17b407e48ac126fdcc412d34915d07462d40ddbc457185a14b8a92b7","observation_id":"42074fa6-fe92-4b24-b061-0887fd5563c2","resolution":{"observed_at":"2026-08-06T20:39:55.473435Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2306.09513","last_updated":"2024-05-13T15:07:28Z","snapshot_observed_at":"2026-07-06T15:43:15.674598Z","submitted_at":"2023-06-15T21:15:42Z","title":"Second order quantitative bounds for unadjusted generalized Hamiltonian Monte Carlo","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2306.09513","snapshot_observed_at":"2026-08-06T20:39:55.581266Z","title":"Camrud, A","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T20:39:55.581266Z"},"links":{"cited_paper":"/paper/2306.09513","citing_paper":"/paper/2507.02518"},"observation_digest":"sha256:eb5ba6982845a764179524b9686994ffc3d6ece0c7f23845a908976226139844","observation_id":"be1ffb30-10fe-443c-977b-62d27bc8c750","resolution":{"observed_at":"2026-08-06T20:39:55.581266Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:40:07.247090Z","title":null,"venue":null,"work_id":"969d1d53-ae64-466a-86f6-8c2188171bf0","year":2023},"citing_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T20:39:55.665519Z"},"links":{"citing_paper":"/paper/2507.02518"},"observation_digest":"sha256:ea0f3dbf46083c9ba9beb6c84a4f2010e241e3293e4a2c26fa9514d9090e2195","observation_id":"d3e446ad-1174-4a5c-805b-00836736bcca","resolution":{"observed_at":"2026-08-06T20:40:07.352450Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:40:07.112642Z","title":"Cesbron, M","venue":null,"work_id":"db2051c9-6d7d-4efe-9210-fd8e3fa50d58","year":2024},"citing_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T20:39:55.791020Z"},"links":{"citing_paper":"/paper/2507.02518"},"observation_digest":"sha256:54ac3e242ac56bb73348808e6f9aa5bf7e37efbb6206be66d88ff14eca0ccfad","observation_id":"48665d03-31dc-49d3-b6be-448a66863629","resolution":{"observed_at":"2026-08-06T20:40:07.175789Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:40:06.962442Z","title":"Chaudru de Raynal, S","venue":null,"work_id":"2a42974c-2e09-4786-af24-b30d1f555e69","year":2023},"citing_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T20:39:55.895323Z"},"links":{"citing_paper":"/paper/2507.02518"},"observation_digest":"sha256:662eae0d0964a28c0850fa840a9fc5b81ba57f79bfcdb0a627cad0d7472ba013","observation_id":"e16f0b4e-770f-446d-907b-d5652dcc4af4","resolution":{"observed_at":"2026-08-06T20:40:07.029197Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:40:06.761689Z","title":null,"venue":null,"work_id":"d8951378-6bb2-40b1-aee9-6bb65d81a60a","year":2024},"citing_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T20:39:55.996068Z"},"links":{"citing_paper":"/paper/2507.02518"},"observation_digest":"sha256:032cfbd8841e4dcee7e5c0c52ad9b7638472be5f388faf4f095e9a0824846114","observation_id":"cebbc8ae-b236-4693-8b1a-9c812ced3bfd","resolution":{"observed_at":"2026-08-06T20:40:06.892320Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:39:56.087259Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T20:39:56.087259Z"},"links":{"citing_paper":"/paper/2507.02518"},"observation_digest":"sha256:36e6a32f3ff2117b72045f4ab8e52613485412139a6d4f8f38c3c6fee44641c9","observation_id":"340ef4a8-9583-4d1f-9fa0-3ced75b511f6","resolution":{"observed_at":"2026-08-06T20:39:56.087259Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:40:06.613741Z","title":"Chizat, Mean-field langevin dynamics: Exponential convergence and annealing, Transactions on Machine Learning Research, 2022","venue":null,"work_id":"f8484ba0-0ed2-4a51-b7da-5bcf7fc68b63","year":2022},"citing_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T20:39:56.186742Z"},"links":{"citing_paper":"/paper/2507.02518"},"observation_digest":"sha256:ccb431d6359f35d3361225de935b74d5ee16a33661d3ef01821f7fc25b3c5fde","observation_id":"90052631-2c89-42bf-b3e9-f9315b27029f","resolution":{"observed_at":"2026-08-06T20:40:06.680316Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2310.13456","last_updated":"2023-10-20T12:41:29Z","snapshot_observed_at":"2026-08-04T18:32:37.476659Z","submitted_at":"2023-10-20T12:41:29Z","title":"L$^2$-Hypocoercivity for non-equilibrium kinetic equations","version":1},"cited_work":{"arxiv_id":"2310.13456","doi":null,"metadata_source":"pith","pith_arxiv_id":"2310.13456","snapshot_observed_at":"2026-08-06T20:40:00.898375Z","title":"L$^2$-Hypocoercivity for non-equilibrium kinetic equations","venue":"math.AP","work_id":"892fcfdb-445c-47e0-910e-8f8fa83e2457","year":2023},"citing_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T20:39:56.292040Z"},"links":{"cited_paper":"/paper/2310.13456","citing_paper":"/paper/2507.02518"},"observation_digest":"sha256:0e4598808d194fb4def05f2b6c7690caf9f6a54343bb89bf1f34b8ff502892e2","observation_id":"15eb9ae5-9f2d-4295-bc9d-e17cea950b6b","resolution":{"observed_at":"2026-08-06T20:40:00.983366Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:40:06.484848Z","title":"Dolbeault, C","venue":null,"work_id":"a619ec60-1113-486a-a088-222910151f96","year":2009},"citing_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T20:39:56.377814Z"},"links":{"citing_paper":"/paper/2507.02518"},"observation_digest":"sha256:eb198661e81e42bff101b369f0ef58cbbcd6413b661475b8ffe460a98ee4a210","observation_id":"043a16ad-2cee-4748-b59b-4a1c0447f82f","resolution":{"observed_at":"2026-08-06T20:40:06.547653Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:40:06.350336Z","title":"A Erdogdu, R","venue":null,"work_id":"5fe23d39-6201-4aa6-9e3d-55e7b153ae5e","year":2021},"citing_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T20:39:56.464212Z"},"links":{"citing_paper":"/paper/2507.02518"},"observation_digest":"sha256:66658e10a03866bc2cd9eb53b5599a9af6d0b3ced874837e3219ff72c73c098b","observation_id":"2b525d55-995b-40ee-990a-3009271d2e81","resolution":{"observed_at":"2026-08-06T20:40:06.410941Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:40:06.199928Z","title":"Fournier, A","venue":null,"work_id":"77f57f7b-9bc1-461c-b3b6-d34c6ec8bb3a","year":2015},"citing_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T20:39:56.566890Z"},"links":{"citing_paper":"/paper/2507.02518"},"observation_digest":"sha256:c7749f33b7988de1486bd29be2910071686894ee833dee69e2adbb8a56212b00","observation_id":"b576bd9d-202e-4747-95d1-ed73182dd10e","resolution":{"observed_at":"2026-08-06T20:40:06.255386Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:40:06.061685Z","title":"Evans, Gary P","venue":null,"work_id":"aee5a765-df0c-4486-a17d-4eaf6c4fa6fe","year":1990},"citing_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T20:39:56.643903Z"},"links":{"citing_paper":"/paper/2507.02518"},"observation_digest":"sha256:0fbb6b2ba3f6de962b2c1493b72713ac790a4074ca6cd0d56f0ea6f01a857d4e","observation_id":"2a350167-e05c-4bda-82b0-859b6d90551c","resolution":{"observed_at":"2026-08-06T20:40:06.123102Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2312.16360","last_updated":"2024-02-06T06:06:09Z","snapshot_observed_at":"2026-08-07T23:12:00.205664Z","submitted_at":"2023-12-26T23:59:04Z","title":"Mean-field underdamped Langevin dynamics and its spacetime discretization","version":5},"cited_work":{"arxiv_id":"2312.16360","doi":null,"metadata_source":"pith","pith_arxiv_id":"2312.16360","snapshot_observed_at":"2026-08-06T20:40:00.667108Z","title":"Mean-field underdamped Langevin dynamics and its spacetime discretization","venue":"stat.CO","work_id":"ea0abf2d-b102-42e8-aa3d-fb74498afdff","year":2023},"citing_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-06T20:39:56.773776Z"},"links":{"cited_paper":"/paper/2312.16360","citing_paper":"/paper/2507.02518"},"observation_digest":"sha256:c4a9f0deaccddeb880ec27cb0c7e2a26a5f62db2c491c63536bf274673453577","observation_id":"4dfe906c-8c27-46e0-a770-8573b7379098","resolution":{"observed_at":"2026-08-06T20:40:00.768849Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:40:05.895631Z","title":"Giacomin, S","venue":null,"work_id":"5263145e-a2dd-4aad-8560-3058df3f0ea3","year":2024},"citing_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-06T20:39:56.852453Z"},"links":{"citing_paper":"/paper/2507.02518"},"observation_digest":"sha256:ff03405ccaf72637bf7f66edc0b451e50716e892df6aee6b632334bf91ebe08e","observation_id":"5dd2c285-7479-425f-a9ce-4d36c09ae081","resolution":{"observed_at":"2026-08-06T20:40:05.972141Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:40:05.719720Z","title":"Guillin, W","venue":null,"work_id":"b2e6f540-a8ab-41d9-be47-d6af02917399","year":2022},"citing_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-06T20:39:56.927731Z"},"links":{"citing_paper":"/paper/2507.02518"},"observation_digest":"sha256:942a5dd05404452c63ed209378c7e5e7fc80743f710c805ba8a51a3b65094f58","observation_id":"a091ac50-0637-438c-a70d-31038facabeb","resolution":{"observed_at":"2026-08-06T20:40:05.804358Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:40:05.573227Z","title":"Guillin, P","venue":null,"work_id":"dfe40cf5-c3ce-4298-b7e1-c2136d4b7b07","year":2021},"citing_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-06T20:39:57.010678Z"},"links":{"citing_paper":"/paper/2507.02518"},"observation_digest":"sha256:ce4583a96b3120e5abfa8da91cc4b455bdc20e5806eb071f38ce7e99f598a4da","observation_id":"92cf8ad6-984f-4006-a32c-6a946aa1e29d","resolution":{"observed_at":"2026-08-06T20:40:05.639379Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2501.16092","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:40:00.574576Z","title":"Huang, E","venue":null,"work_id":"6140fa72-60c6-4eb0-9592-ea5df422575c","year":null},"citing_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-06T20:39:57.084191Z"},"links":{"citing_paper":"/paper/2507.02518"},"observation_digest":"sha256:421a6b388967c27448306af80ab73e9b4d88518f84323590f851f563fe75d7ba","observation_id":"88aeb1dd-935d-49ac-96e9-80dc289bfcb9","resolution":{"observed_at":"2026-08-06T20:40:00.599899Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:40:05.394560Z","title":"Huang, F.-Y","venue":null,"work_id":"c622b276-d55f-4a7f-9930-97843ad922fa","year":2024},"citing_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-06T20:39:57.167123Z"},"links":{"citing_paper":"/paper/2507.02518"},"observation_digest":"sha256:4dedabfc1964f4b8bc95569db1bf40bdf2730cad9b117179af64fbeb5ff7d8a4","observation_id":"80c2cc04-11dc-43a1-822b-51c1f2186b17","resolution":{"observed_at":"2026-08-06T20:40:05.482365Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:40:05.219366Z","title":"Iacobucci, S","venue":null,"work_id":"60bfc21c-b5f5-4b9d-81f7-c595d00b8163","year":2021},"citing_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-06T20:39:57.254467Z"},"links":{"citing_paper":"/paper/2507.02518"},"observation_digest":"sha256:579138c67ad5b60678df2bd11110957b114bbc6dc2164a3aa625f9811a7a3062","observation_id":"477be6f2-3af8-4d3d-9b2a-e522a8b092e0","resolution":{"observed_at":"2026-08-06T20:40:05.301585Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:40:05.019324Z","title":"Iacobucci, S","venue":null,"work_id":"3a903beb-3602-4bca-95c6-bac82d33ab32","year":2019},"citing_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-06T20:39:57.391650Z"},"links":{"citing_paper":"/paper/2507.02518"},"observation_digest":"sha256:4b2df8d407b85457b5f19286edd799d75605f56c241a5c5086bf4056d64f7b49","observation_id":"f1f5d172-a1b2-4e50-9dec-34b423a4d1e8","resolution":{"observed_at":"2026-08-06T20:40:05.140042Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:40:04.703631Z","title":"Lelievre, G","venue":null,"work_id":"efc0b2b8-8b32-4e4d-8c52-ac3c4207f737","year":2016},"citing_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-06T20:39:57.504397Z"},"links":{"citing_paper":"/paper/2507.02518"},"observation_digest":"sha256:dfdce1ba019d2f6b88cb616256942f874a358be24624db08b384d96801deae53","observation_id":"5060a852-3cd6-4656-9342-f1799f258799","resolution":{"observed_at":"2026-08-06T20:40:04.854798Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:40:04.445077Z","title":"Letizia, S","venue":null,"work_id":"4b7924c8-b62e-47b0-bd6b-1e5081fa19d8","year":2017},"citing_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-06T20:39:57.601787Z"},"links":{"citing_paper":"/paper/2507.02518"},"observation_digest":"sha256:6310238c05274b7731540aeb6a5d43c515e047f5395768c4980fccfbaab3df14","observation_id":"2abaf949-4503-4eab-a58a-518d0979768f","resolution":{"observed_at":"2026-08-06T20:40:04.586347Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2505.07642","last_updated":"2025-05-12T15:12:27Z","snapshot_observed_at":"2026-08-07T15:47:50.273558Z","submitted_at":"2025-05-12T15:12:27Z","title":"Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games","version":1},"cited_work":{"arxiv_id":"2505.07642","doi":null,"metadata_source":"pith","pith_arxiv_id":"2505.07642","snapshot_observed_at":"2026-08-06T20:40:00.272968Z","title":"Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games","venue":"math.OC","work_id":"ed84e791-06b2-47dd-9ced-b4926d3874e4","year":2025},"citing_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-06T20:39:57.700190Z"},"links":{"cited_paper":"/paper/2505.07642","citing_paper":"/paper/2507.02518"},"observation_digest":"sha256:cc77224b1f8e899d9bdaff2b761933c24ea0d77804aa1280683f492fa52f1c55","observation_id":"b62fc7cf-4c04-486b-b9f6-79b926075502","resolution":{"observed_at":"2026-08-06T20:40:00.380212Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:40:04.155973Z","title":null,"venue":null,"work_id":"ebb74ad3-7358-45fb-8410-222676c821e8","year":2021},"citing_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-06T20:39:57.802788Z"},"links":{"citing_paper":"/paper/2507.02518"},"observation_digest":"sha256:c1843455a05b8406afc81bcda0e227dcfd30501aa95487aa429aef76d683c9e2","observation_id":"1c91908e-b2a3-4097-b455-f0363e4d1115","resolution":{"observed_at":"2026-08-06T20:40:04.318615Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:40:03.903257Z","title":"Marini, L","venue":null,"work_id":"91e2a4c0-2786-4426-8ccb-06a85658942b","year":2023},"citing_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-06T20:39:57.906131Z"},"links":{"citing_paper":"/paper/2507.02518"},"observation_digest":"sha256:9aa9cf9b658fee6aa96e8d511c152b9a703dfba2a4e8ee9a25f8d7a17fc400da","observation_id":"cb87e2ce-44dd-4dae-ac1b-b5c6eaac2146","resolution":{"observed_at":"2026-08-06T20:40:04.016089Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:40:03.623960Z","title":"Mattingly, A.M","venue":null,"work_id":"e0d1e675-5ced-44da-b112-8f81552ef3c5","year":2002},"citing_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-06T20:39:58.012785Z"},"links":{"citing_paper":"/paper/2507.02518"},"observation_digest":"sha256:38a5dc6735ad8d57d69d47fdfcd7b03890e5761ebfc6e16cd8ec75f88df49918","observation_id":"f0080c50-051a-4345-8053-aa2b03d1095a","resolution":{"observed_at":"2026-08-06T20:40:03.772567Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:40:03.433177Z","title":"Menegaki, Quantitative Rates of Convergence to Non-equilibrium Steady State for a Weakly Anharmonic Chain of Oscillators, J","venue":null,"work_id":"e4d39420-becf-4ef8-b008-489d371e34fd","year":2020},"citing_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-06T20:39:58.101156Z"},"links":{"citing_paper":"/paper/2507.02518"},"observation_digest":"sha256:fd6885324ddc8e6df197cfafe295450e931da6585e0a0c4b12074287538f72a1","observation_id":"ec9b7f35-6038-4244-94e8-db9971e8845d","resolution":{"observed_at":"2026-08-06T20:40:03.505845Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:40:03.227894Z","title":"Monmarch´ e, Almost sure contraction for diffusions on Rd","venue":null,"work_id":"f0b17447-0ef9-4034-893e-960c2da75ad2","year":2023},"citing_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-06T20:39:58.177274Z"},"links":{"citing_paper":"/paper/2507.02518"},"observation_digest":"sha256:fab1c4b4b865c1323faf32ab5226fbcf8da5833c0c694abb76d5bed45292823a","observation_id":"ce64816d-a271-4f60-b3ba-d4650f84b7fe","resolution":{"observed_at":"2026-08-06T20:40:03.317705Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2501.18004","last_updated":"2025-01-29T21:37:43Z","snapshot_observed_at":"2026-07-06T20:28:09.807683Z","submitted_at":"2025-01-29T21:37:43Z","title":"L2 geometric ergodicity for the kinetic Langevin process with non-equilibrium steady states","version":1},"cited_work":{"arxiv_id":"2501.18004","doi":null,"metadata_source":"pith","pith_arxiv_id":"2501.18004","snapshot_observed_at":"2026-08-06T20:40:00.077800Z","title":"L2 geometric ergodicity for the kinetic Langevin process with non-equilibrium steady states","venue":"math.AP","work_id":"50b8588d-fba6-4421-a712-2cee0cdb9a82","year":2025},"citing_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-06T20:39:58.263255Z"},"links":{"cited_paper":"/paper/2501.18004","citing_paper":"/paper/2507.02518"},"observation_digest":"sha256:3ac36daefd20dcdb03151c0246ff2abc2510aa250e7405af6e5228fe1492f6bd","observation_id":"933bf2c3-4241-42e2-9940-c9df2c00b491","resolution":{"observed_at":"2026-08-06T20:40:00.151783Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:40:02.954521Z","title":"Monmarch´ e, An entropic approach for Hamiltonian Monte Carlo: the idealized case, Ann","venue":null,"work_id":"2d4d5d57-b28b-4119-ac0c-2a935afd1c32","year":2024},"citing_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-06T20:39:58.393347Z"},"links":{"citing_paper":"/paper/2507.02518"},"observation_digest":"sha256:544330a7ead4107a25d2261d8a4b93d08ecdbb1544134bc3f5742b8b5ccf0a48","observation_id":"ba82bc69-930c-45c6-9077-b62435bcfa2b","resolution":{"observed_at":"2026-08-06T20:40:03.118075Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:40:02.580656Z","title":"Monmarch´ e, A note on a vlasov-fokker-planck equation with non-symmetric in- teraction, to appear in Ann","venue":null,"work_id":"ccbca63f-07b1-43cd-a675-a392bafcfaa9","year":2025},"citing_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-06T20:39:58.488562Z"},"links":{"citing_paper":"/paper/2507.02518"},"observation_digest":"sha256:b4c3d15324bf66f53097b0538fe68a2cf458216721b1519190cf422a48894ce6","observation_id":"74c89f7a-30f4-4fc9-841e-1b7eb355ba91","resolution":{"observed_at":"2026-08-06T20:40:02.787841Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:40:02.307427Z","title":"Monmarch´ e, M","venue":null,"work_id":"e0f22986-910d-4cfb-aba2-8e42d96ce563","year":2022},"citing_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-06T20:39:58.586528Z"},"links":{"citing_paper":"/paper/2507.02518"},"observation_digest":"sha256:a5a0a4e65c40f37abc838e18606313f595c60893d5376ab3877ff8844703a4b3","observation_id":"a765bff4-447b-4541-a7bb-3302b9454c5b","resolution":{"observed_at":"2026-08-06T20:40:02.380787Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.15725","last_updated":"2025-06-26T18:54:23Z","snapshot_observed_at":"2026-08-07T06:46:29.754078Z","submitted_at":"2024-04-24T08:30:33Z","title":"Local convergence rates for Wasserstein gradient flows and McKean-Vlasov equations with multiple stationary solutions","version":4},"cited_work":{"arxiv_id":"2404.15725","doi":null,"metadata_source":"pith","pith_arxiv_id":"2404.15725","snapshot_observed_at":"2026-08-06T20:39:59.927424Z","title":"Local convergence rates for Wasserstein gradient flows and McKean-Vlasov equations with multiple stationary solutions","venue":"math.AP","work_id":"d238c5ea-062d-42f1-87d5-9ed32c1c4607","year":2024},"citing_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-06T20:39:58.682812Z"},"links":{"cited_paper":"/paper/2404.15725","citing_paper":"/paper/2507.02518"},"observation_digest":"sha256:e7fc93a2725fa5e99b3fac837b9dcd2b429c7fd47c7fb69872c62cb04f013d3b","observation_id":"9d8dccd6-b9e0-4284-b154-03c80f5b09d9","resolution":{"observed_at":"2026-08-06T20:39:59.981181Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2412.03560","last_updated":"2024-12-04T18:54:24Z","snapshot_observed_at":"2026-07-06T20:01:45.826971Z","submitted_at":"2024-12-04T18:54:24Z","title":"Non-asymptotic entropic bounds for non-linear kinetic Langevin sampler with second-order splitting scheme","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.03560","snapshot_observed_at":"2026-08-06T20:39:58.778020Z","title":"Monmarch´ e, K","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-06T20:39:58.778020Z"},"links":{"cited_paper":"/paper/2412.03560","citing_paper":"/paper/2507.02518"},"observation_digest":"sha256:3905e9e7ba94421ee06aec5e992d97d8a929a03624ee7d15ef18e0fc2de27419","observation_id":"6568100f-ad8f-4569-a1e9-2d6266a2a480","resolution":{"observed_at":"2026-08-06T20:39:58.778020Z","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":"10.1007/s11118-025-10211-6","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:39:59.785858Z","title":"Monmarch´ e, S","venue":null,"work_id":"c7a7369f-9094-47e9-b896-034fa9107b01","year":2025},"citing_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-06T20:39:58.871375Z"},"links":{"citing_paper":"/paper/2507.02518"},"observation_digest":"sha256:3fd3b05fa7ffeca3e8fc59b1df1e46016ef6a431c2b3ae1ff0a11433ba18bba8","observation_id":"60d6825d-489e-4bfe-b691-10c21e0a9fa2","resolution":{"observed_at":"2026-08-06T20:39:59.836241Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:40:02.262583Z","title":"Nitanda, D","venue":null,"work_id":"5a93e14a-9ca5-4bdb-9cfb-c32156cd893c","year":2022},"citing_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-06T20:39:58.959089Z"},"links":{"citing_paper":"/paper/2507.02518"},"observation_digest":"sha256:c72823a0431493e1dba6587b94fcdd7047b660715f22b84fcd129a6c2d983a44","observation_id":"8492c545-0a12-4a4c-a44f-4a62850b6c5a","resolution":{"observed_at":"2026-08-06T20:40:02.299609Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:40:02.143830Z","title":null,"venue":null,"work_id":"4767f8a1-3544-4f2b-a618-8c4edc136ed3","year":2000},"citing_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-06T20:39:59.019847Z"},"links":{"citing_paper":"/paper/2507.02518"},"observation_digest":"sha256:78be1f669ec1de6bf9a90c527c6a2feac21b7d571153cc414d75739a3bbf8df3","observation_id":"b044254c-6341-4aec-b341-995582946adb","resolution":{"observed_at":"2026-08-06T20:40:02.199255Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:40:02.045811Z","title":"Ren, F.-Y","venue":null,"work_id":"b34985cb-437b-438e-a018-0cc2f02c9320","year":2021},"citing_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-06T20:39:59.097113Z"},"links":{"citing_paper":"/paper/2507.02518"},"observation_digest":"sha256:7cbb052b8c392225a4fa667f394538a55f4673a3fc093ec972709d0f02c025bd","observation_id":"4e37b703-d5ca-4b35-8b61-2194d57d71da","resolution":{"observed_at":"2026-08-06T20:40:02.093868Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:40:01.917154Z","title":"Suzuki, D","venue":null,"work_id":"521728ec-11ac-44c0-9d26-90359b1d9f0d","year":2024},"citing_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-06T20:39:59.159302Z"},"links":{"citing_paper":"/paper/2507.02518"},"observation_digest":"sha256:806f3c1a50c98ba06436aa3bb37dce719fd3f323e4ef1567b3779acd272eca02","observation_id":"0e609c76-dca3-48e0-aaa8-3cfba9d4b25d","resolution":{"observed_at":"2026-08-06T20:40:01.989308Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:40:01.804309Z","title":"Talay, Stochastic Hamiltonian systems: exponential convergence to the invariant measure, and discretization by the implicit Euler scheme, Markov Process","venue":null,"work_id":"8ad3ed1f-9ab3-4465-8a5f-b94d4ef887ad","year":2002},"citing_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-06T20:39:59.222870Z"},"links":{"citing_paper":"/paper/2507.02518"},"observation_digest":"sha256:1e31e09c7c145cebf5b8dcd3e2796de708cdea6e5572202ade33d8569923e3db","observation_id":"2d2e8f17-38eb-43c1-bdad-ce8a5c3688f1","resolution":{"observed_at":"2026-08-06T20:40:01.857814Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:40:01.666481Z","title":"Vempala, A","venue":null,"work_id":"5a70fe62-3669-40c4-a125-2d687522e1a0","year":2019},"citing_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-06T20:39:59.318777Z"},"links":{"citing_paper":"/paper/2507.02518"},"observation_digest":"sha256:d8629c1587fe145ee9114f78a81e9c2dd14ef99932180b0d27b22497e5ae3fc1","observation_id":"169da09c-5dd9-4796-8bfd-26c337581867","resolution":{"observed_at":"2026-08-06T20:40:01.745735Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:40:01.540617Z","title":"Villani, Hypocoercivity Mem","venue":null,"work_id":"bfa87640-5602-40c6-967c-47188173841e","year":2009},"citing_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-06T20:39:59.382792Z"},"links":{"citing_paper":"/paper/2507.02518"},"observation_digest":"sha256:96c539821db622eace1b7871c0a983e9e373028acfe0a48b4c7649e4921cd36a","observation_id":"ae7732ab-c0d0-4761-a130-8d143fc03516","resolution":{"observed_at":"2026-08-06T20:40:01.600552Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:40:01.424063Z","title":"Wang, Hypercontractivity and applications for stochastic Hamiltonian systems, J","venue":null,"work_id":"6de08e3c-9d55-46ad-bb5a-279747a47237","year":2017},"citing_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-06T20:39:59.457507Z"},"links":{"citing_paper":"/paper/2507.02518"},"observation_digest":"sha256:5efb67c36ca592b4dd9f886b992bb779c0f05cdf4086fcce226c925e035a4d97","observation_id":"345b997e-3764-4179-ac39-e9dffc5791e4","resolution":{"observed_at":"2026-08-06T20:40:01.484533Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:40:01.301680Z","title":"Wang, Harnack inequalities on manifolds with boundary and applications, J","venue":null,"work_id":"1dcc980d-a423-4165-9d07-bc7b63f0a5b2","year":2010},"citing_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-06T20:39:59.558776Z"},"links":{"citing_paper":"/paper/2507.02518"},"observation_digest":"sha256:f205aea1f797606970dd7659d914b5bb73a99f18249420a8c7d2cfa45be11c3b","observation_id":"2bb55da9-c04f-4b87-9b18-278781dcb17d","resolution":{"observed_at":"2026-08-06T20:40:01.354499Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:40:01.174148Z","title":null,"venue":null,"work_id":"600c130b-94af-446b-b813-325a5ba368ec","year":2024},"citing_paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs","version":2},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-06T20:39:59.637427Z"},"links":{"citing_paper":"/paper/2507.02518"},"observation_digest":"sha256:2f5b5f0e71159abadf4c3539dc7ce92e87c996c31f186912cb426a0039e5a354","observation_id":"c354a1fc-a267-41ce-8f67-8ee4d6efbeb4","resolution":{"observed_at":"2026-08-06T20:40:01.239252Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2507.02518","last_updated":"2025-07-09T15:28:06Z","latest_version":2,"primary_category":"math.PR","snapshot_observed_at":"2026-08-06T20:24:48.859321Z","submitted_at":"2025-07-03T10:30:12Z","title":"Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs"},"reference_resolution":{"displayed":53,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":9,"verified_exact":7,"verified_fuzzy":37},"total_outbound_references":53},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 53 of 53 outbound references and 4 inbound Pith citation observations for arXiv:2507.02518."}