{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:KBIQUBZLAXTYROSKIK5E5CDMSQ","short_pith_number":"pith:KBIQUBZL","schema_version":"1.0","canonical_sha256":"50510a072b05e788ba4a42ba4e886c94109e76dfa6699c5722ed0da78334d510","source":{"kind":"arxiv","id":"1602.08043","version":2},"attestation_state":"computed","paper":{"title":"The enhanced Sanov theorem and propagation of chaos","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Jean-Dominique Deuschel, Mario Maurelli, Martin Slowik, Peter K. Friz","submitted_at":"2016-02-25T19:16:30Z","abstract_excerpt":"We establish a Sanov type large deviation principle for an ensemble of interacting Brownian rough paths. As application a large deviations for the ($k$-layer, enhanced) empirical measure of weakly interacting diffusions is obtained. This in turn implies a propagation of chaos result in rough path spaces and allows for a robust subsequent analysis of the particle system and its McKean-Vlasov type limit, as shown in two corollaries."},"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":"1602.08043","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-02-25T19:16:30Z","cross_cats_sorted":[],"title_canon_sha256":"7a9805b90346ff31e79794ba537450d8a6cc44739b8293536e422fff66175803","abstract_canon_sha256":"12dc266ad2758390347fadd3ef2690fea636d52cf9addbd1e53b414cc4144e09"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:48:07.761502Z","signature_b64":"jvYlB7ySqv7KN7K23Pa4I25pU8DX2iaP6lj7WTMZFa4Y+1o98W4Fu6+IU5yO725G5lWK32y/8CZKyFoM+no9Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"50510a072b05e788ba4a42ba4e886c94109e76dfa6699c5722ed0da78334d510","last_reissued_at":"2026-05-17T23:48:07.760997Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:48:07.760997Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The enhanced Sanov theorem and propagation of chaos","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Jean-Dominique Deuschel, Mario Maurelli, Martin Slowik, Peter K. Friz","submitted_at":"2016-02-25T19:16:30Z","abstract_excerpt":"We establish a Sanov type large deviation principle for an ensemble of interacting Brownian rough paths. As application a large deviations for the ($k$-layer, enhanced) empirical measure of weakly interacting diffusions is obtained. This in turn implies a propagation of chaos result in rough path spaces and allows for a robust subsequent analysis of the particle system and its McKean-Vlasov type limit, as shown in two corollaries."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.08043","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":""},"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":"1602.08043","created_at":"2026-05-17T23:48:07.761080+00:00"},{"alias_kind":"arxiv_version","alias_value":"1602.08043v2","created_at":"2026-05-17T23:48:07.761080+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.08043","created_at":"2026-05-17T23:48:07.761080+00:00"},{"alias_kind":"pith_short_12","alias_value":"KBIQUBZLAXTY","created_at":"2026-05-18T12:30:25.849896+00:00"},{"alias_kind":"pith_short_16","alias_value":"KBIQUBZLAXTYROSK","created_at":"2026-05-18T12:30:25.849896+00:00"},{"alias_kind":"pith_short_8","alias_value":"KBIQUBZL","created_at":"2026-05-18T12:30:25.849896+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/KBIQUBZLAXTYROSKIK5E5CDMSQ","json":"https://pith.science/pith/KBIQUBZLAXTYROSKIK5E5CDMSQ.json","graph_json":"https://pith.science/api/pith-number/KBIQUBZLAXTYROSKIK5E5CDMSQ/graph.json","events_json":"https://pith.science/api/pith-number/KBIQUBZLAXTYROSKIK5E5CDMSQ/events.json","paper":"https://pith.science/paper/KBIQUBZL"},"agent_actions":{"view_html":"https://pith.science/pith/KBIQUBZLAXTYROSKIK5E5CDMSQ","download_json":"https://pith.science/pith/KBIQUBZLAXTYROSKIK5E5CDMSQ.json","view_paper":"https://pith.science/paper/KBIQUBZL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1602.08043&json=true","fetch_graph":"https://pith.science/api/pith-number/KBIQUBZLAXTYROSKIK5E5CDMSQ/graph.json","fetch_events":"https://pith.science/api/pith-number/KBIQUBZLAXTYROSKIK5E5CDMSQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KBIQUBZLAXTYROSKIK5E5CDMSQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KBIQUBZLAXTYROSKIK5E5CDMSQ/action/storage_attestation","attest_author":"https://pith.science/pith/KBIQUBZLAXTYROSKIK5E5CDMSQ/action/author_attestation","sign_citation":"https://pith.science/pith/KBIQUBZLAXTYROSKIK5E5CDMSQ/action/citation_signature","submit_replication":"https://pith.science/pith/KBIQUBZLAXTYROSKIK5E5CDMSQ/action/replication_record"}},"created_at":"2026-05-17T23:48:07.761080+00:00","updated_at":"2026-05-17T23:48:07.761080+00:00"}