{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:WQI6PO2XEPICCR2TJ7LDJBMGTD","short_pith_number":"pith:WQI6PO2X","schema_version":"1.0","canonical_sha256":"b411e7bb5723d02147534fd634858698ed6aa181cbba5f869398e5d37106e2d9","source":{"kind":"arxiv","id":"2404.09552","version":2},"attestation_state":"computed","paper":{"title":"Entropy on the path space and application to singular diffusions and mean-field models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"math.AP","authors_text":"Patrick Cattiaux (IMT)","submitted_at":"2024-04-15T08:16:43Z","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"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2404.09552","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-04-15T08:16:43Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"a5fa2663ee6309e962040fa12e2f67f16ad5b0d1b0922cfbe4086850363db98b","abstract_canon_sha256":"bbb9b77e8fc38ecf18f16b0e9392848745270af786d289b722ed1b150896a657"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:46:46.307671Z","signature_b64":"hsQQp7Z1wRA+aRnLEKd1EaQSZY0waTilV56HNHDhS3Nf/SAKQe6NZJEo0x36NDc+DhuzG5AgeREoxptSdoXGBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b411e7bb5723d02147534fd634858698ed6aa181cbba5f869398e5d37106e2d9","last_reissued_at":"2026-07-05T09:46:46.307124Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:46:46.307124Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Entropy on the path space and application to singular diffusions and mean-field models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"math.AP","authors_text":"Patrick Cattiaux (IMT)","submitted_at":"2024-04-15T08:16:43Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.09552","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2404.09552/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2404.09552","created_at":"2026-07-05T09:46:46.307192+00:00"},{"alias_kind":"arxiv_version","alias_value":"2404.09552v2","created_at":"2026-07-05T09:46:46.307192+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.09552","created_at":"2026-07-05T09:46:46.307192+00:00"},{"alias_kind":"pith_short_12","alias_value":"WQI6PO2XEPIC","created_at":"2026-07-05T09:46:46.307192+00:00"},{"alias_kind":"pith_short_16","alias_value":"WQI6PO2XEPICCR2T","created_at":"2026-07-05T09:46:46.307192+00:00"},{"alias_kind":"pith_short_8","alias_value":"WQI6PO2X","created_at":"2026-07-05T09:46:46.307192+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2409.08882","citing_title":"Quantitative propagation of chaos for non-exchangeable diffusions via first-passage percolation","ref_index":20,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/WQI6PO2XEPICCR2TJ7LDJBMGTD","json":"https://pith.science/pith/WQI6PO2XEPICCR2TJ7LDJBMGTD.json","graph_json":"https://pith.science/api/pith-number/WQI6PO2XEPICCR2TJ7LDJBMGTD/graph.json","events_json":"https://pith.science/api/pith-number/WQI6PO2XEPICCR2TJ7LDJBMGTD/events.json","paper":"https://pith.science/paper/WQI6PO2X"},"agent_actions":{"view_html":"https://pith.science/pith/WQI6PO2XEPICCR2TJ7LDJBMGTD","download_json":"https://pith.science/pith/WQI6PO2XEPICCR2TJ7LDJBMGTD.json","view_paper":"https://pith.science/paper/WQI6PO2X","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2404.09552&json=true","fetch_graph":"https://pith.science/api/pith-number/WQI6PO2XEPICCR2TJ7LDJBMGTD/graph.json","fetch_events":"https://pith.science/api/pith-number/WQI6PO2XEPICCR2TJ7LDJBMGTD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WQI6PO2XEPICCR2TJ7LDJBMGTD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WQI6PO2XEPICCR2TJ7LDJBMGTD/action/storage_attestation","attest_author":"https://pith.science/pith/WQI6PO2XEPICCR2TJ7LDJBMGTD/action/author_attestation","sign_citation":"https://pith.science/pith/WQI6PO2XEPICCR2TJ7LDJBMGTD/action/citation_signature","submit_replication":"https://pith.science/pith/WQI6PO2XEPICCR2TJ7LDJBMGTD/action/replication_record"}},"created_at":"2026-07-05T09:46:46.307192+00:00","updated_at":"2026-07-05T09:46:46.307192+00:00"}