{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:C5LGQN3MXAWFK376J64IMRF6Z4","short_pith_number":"pith:C5LGQN3M","schema_version":"1.0","canonical_sha256":"175668376cb82c556ffe4fb88644becf24fcd7f5c7e7e958959bc754bab5229d","source":{"kind":"arxiv","id":"2312.00339","version":3},"attestation_state":"computed","paper":{"title":"Propagation of chaos in path spaces via information theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math.IT"],"primary_cat":"math.PR","authors_text":"Lei Li, Yuelin Wang, Yuliang Wang","submitted_at":"2023-12-01T04:16:48Z","abstract_excerpt":"Propagation of chaos for interacting particle systems has been an active research topic over decades. We propose an alternative approach to study the mean-field limit of the stochastic interacting particle systems via tools from information theory. In our framework, the propagation of chaos is reduced to the space for driving processes with possible lower dimension. Indeed, after applying the data processing inequality, one only needs to estimate the difference between the drifts of the particle system and the mean-field Mckean stochastic differential equation. This point is particularly usefu"},"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":"2312.00339","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2023-12-01T04:16:48Z","cross_cats_sorted":["cs.IT","math.IT"],"title_canon_sha256":"42fa03a4ca8bfa81fa4a830ba95558c2832a28fb747015fae063785297ff6b02","abstract_canon_sha256":"b83ecfe153f723e2f90cf8d1f0a99b438171c435008fdc2e4c64616d0c40289e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:56:48.681682Z","signature_b64":"YgzVdWGpHxBjFd+7Sj7JFGGjsNl8u5NNXQs9R+u1CaLuRMNTINSlbW+FiHtGNXhz8n5fu2ym3pGD4SHRuCtWBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"175668376cb82c556ffe4fb88644becf24fcd7f5c7e7e958959bc754bab5229d","last_reissued_at":"2026-07-05T09:56:48.681142Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:56:48.681142Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Propagation of chaos in path spaces via information theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math.IT"],"primary_cat":"math.PR","authors_text":"Lei Li, Yuelin Wang, Yuliang Wang","submitted_at":"2023-12-01T04:16:48Z","abstract_excerpt":"Propagation of chaos for interacting particle systems has been an active research topic over decades. We propose an alternative approach to study the mean-field limit of the stochastic interacting particle systems via tools from information theory. In our framework, the propagation of chaos is reduced to the space for driving processes with possible lower dimension. Indeed, after applying the data processing inequality, one only needs to estimate the difference between the drifts of the particle system and the mean-field Mckean stochastic differential equation. This point is particularly usefu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.00339","kind":"arxiv","version":3},"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/2312.00339/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":"2312.00339","created_at":"2026-07-05T09:56:48.681198+00:00"},{"alias_kind":"arxiv_version","alias_value":"2312.00339v3","created_at":"2026-07-05T09:56:48.681198+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.00339","created_at":"2026-07-05T09:56:48.681198+00:00"},{"alias_kind":"pith_short_12","alias_value":"C5LGQN3MXAWF","created_at":"2026-07-05T09:56:48.681198+00:00"},{"alias_kind":"pith_short_16","alias_value":"C5LGQN3MXAWFK376","created_at":"2026-07-05T09:56:48.681198+00:00"},{"alias_kind":"pith_short_8","alias_value":"C5LGQN3M","created_at":"2026-07-05T09:56:48.681198+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2409.02399","citing_title":"Guidance for twisted particle filter: a continuous-time perspective","ref_index":42,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/C5LGQN3MXAWFK376J64IMRF6Z4","json":"https://pith.science/pith/C5LGQN3MXAWFK376J64IMRF6Z4.json","graph_json":"https://pith.science/api/pith-number/C5LGQN3MXAWFK376J64IMRF6Z4/graph.json","events_json":"https://pith.science/api/pith-number/C5LGQN3MXAWFK376J64IMRF6Z4/events.json","paper":"https://pith.science/paper/C5LGQN3M"},"agent_actions":{"view_html":"https://pith.science/pith/C5LGQN3MXAWFK376J64IMRF6Z4","download_json":"https://pith.science/pith/C5LGQN3MXAWFK376J64IMRF6Z4.json","view_paper":"https://pith.science/paper/C5LGQN3M","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2312.00339&json=true","fetch_graph":"https://pith.science/api/pith-number/C5LGQN3MXAWFK376J64IMRF6Z4/graph.json","fetch_events":"https://pith.science/api/pith-number/C5LGQN3MXAWFK376J64IMRF6Z4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/C5LGQN3MXAWFK376J64IMRF6Z4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/C5LGQN3MXAWFK376J64IMRF6Z4/action/storage_attestation","attest_author":"https://pith.science/pith/C5LGQN3MXAWFK376J64IMRF6Z4/action/author_attestation","sign_citation":"https://pith.science/pith/C5LGQN3MXAWFK376J64IMRF6Z4/action/citation_signature","submit_replication":"https://pith.science/pith/C5LGQN3MXAWFK376J64IMRF6Z4/action/replication_record"}},"created_at":"2026-07-05T09:56:48.681198+00:00","updated_at":"2026-07-05T09:56:48.681198+00:00"}