{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:WQI6PO2XEPICCR2TJ7LDJBMGTD","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"bbb9b77e8fc38ecf18f16b0e9392848745270af786d289b722ed1b150896a657","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-04-15T08:16:43Z","title_canon_sha256":"a5fa2663ee6309e962040fa12e2f67f16ad5b0d1b0922cfbe4086850363db98b"},"schema_version":"1.0","source":{"id":"2404.09552","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2404.09552","created_at":"2026-07-05T09:46:46Z"},{"alias_kind":"arxiv_version","alias_value":"2404.09552v2","created_at":"2026-07-05T09:46:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.09552","created_at":"2026-07-05T09:46:46Z"},{"alias_kind":"pith_short_12","alias_value":"WQI6PO2XEPIC","created_at":"2026-07-05T09:46:46Z"},{"alias_kind":"pith_short_16","alias_value":"WQI6PO2XEPICCR2T","created_at":"2026-07-05T09:46:46Z"},{"alias_kind":"pith_short_8","alias_value":"WQI6PO2X","created_at":"2026-07-05T09:46:46Z"}],"graph_snapshots":[{"event_id":"sha256:87da8c01651a36476f5adc4f9e8fb8e04534d7e982b2a12b09dbfd861bd9e482","target":"graph","created_at":"2026-07-05T09:46:46Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2404.09552/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper we intend to present a unified treatment of a variety of singular interacting particle systems and their McKean-Vlasov limits. This unified approach is based on the use of the relative entropy on the path space in the spirit of our previous works together with C. L{\\'e}onard. We show how it can be used to derive existence and uniqueness for some singular diffusions, in particular linear mean field stochastic particle systems and non linear SDE of McKean-Vlasov type, including $\\mathbf L^p-\\mathbf L^q$ models, the 2D vortex model associated to the 2D Navier-Stokes equation, sub-Co","authors_text":"Patrick Cattiaux (IMT)","cross_cats":["math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-04-15T08:16:43Z","title":"Entropy on the path space and application to singular diffusions and mean-field models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.09552","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:c65dd215ecb70666a2167d4f457af1e4369916605c0ae0d2151db65434044ea8","target":"record","created_at":"2026-07-05T09:46:46Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"bbb9b77e8fc38ecf18f16b0e9392848745270af786d289b722ed1b150896a657","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-04-15T08:16:43Z","title_canon_sha256":"a5fa2663ee6309e962040fa12e2f67f16ad5b0d1b0922cfbe4086850363db98b"},"schema_version":"1.0","source":{"id":"2404.09552","kind":"arxiv","version":2}},"canonical_sha256":"b411e7bb5723d02147534fd634858698ed6aa181cbba5f869398e5d37106e2d9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b411e7bb5723d02147534fd634858698ed6aa181cbba5f869398e5d37106e2d9","first_computed_at":"2026-07-05T09:46:46.307124Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:46:46.307124Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hsQQp7Z1wRA+aRnLEKd1EaQSZY0waTilV56HNHDhS3Nf/SAKQe6NZJEo0x36NDc+DhuzG5AgeREoxptSdoXGBg==","signature_status":"signed_v1","signed_at":"2026-07-05T09:46:46.307671Z","signed_message":"canonical_sha256_bytes"},"source_id":"2404.09552","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c65dd215ecb70666a2167d4f457af1e4369916605c0ae0d2151db65434044ea8","sha256:87da8c01651a36476f5adc4f9e8fb8e04534d7e982b2a12b09dbfd861bd9e482"],"state_sha256":"520152d74053566640a58ebc0700fe7df90f2f490d526647a26169af776ef86a"}