{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:KBIQUBZLAXTYROSKIK5E5CDMSQ","short_pith_number":"pith:KBIQUBZL","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"},"canonical_sha256":"50510a072b05e788ba4a42ba4e886c94109e76dfa6699c5722ed0da78334d510","source":{"kind":"arxiv","id":"1602.08043","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.08043","created_at":"2026-05-17T23:48:07Z"},{"alias_kind":"arxiv_version","alias_value":"1602.08043v2","created_at":"2026-05-17T23:48:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.08043","created_at":"2026-05-17T23:48:07Z"},{"alias_kind":"pith_short_12","alias_value":"KBIQUBZLAXTY","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"KBIQUBZLAXTYROSK","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"KBIQUBZL","created_at":"2026-05-18T12:30:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:KBIQUBZLAXTYROSKIK5E5CDMSQ","target":"record","payload":{"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"},"canonical_sha256":"50510a072b05e788ba4a42ba4e886c94109e76dfa6699c5722ed0da78334d510","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"},"source_kind":"arxiv","source_id":"1602.08043","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:48:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7ETlQYw5gbsN3pwTwUlq7UUD3vdjwul4nT4mCUkCwulZOX0mCzLFVRVsVHhhSPIkXrr7xcJdnsJ4XlD+/QS4Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T22:46:11.752241Z"},"content_sha256":"cf0695baad70129741160d3113f35eedca0dfb018c169c933995086e14ac15f1","schema_version":"1.0","event_id":"sha256:cf0695baad70129741160d3113f35eedca0dfb018c169c933995086e14ac15f1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:KBIQUBZLAXTYROSKIK5E5CDMSQ","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:48:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Gn2KgutnkqRGhb0kAxrTEWcpkjp/f/+Q6djNQ1EG2YksbxFVwcejNI/Q+KFKcHd7QaQSiaUZXUV39Z+3jNWXDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T22:46:11.752932Z"},"content_sha256":"49472b81fc8ffbe2ca7b9f3fc635ae7c545d6bbb2a9b1d35f60e0901e295af6d","schema_version":"1.0","event_id":"sha256:49472b81fc8ffbe2ca7b9f3fc635ae7c545d6bbb2a9b1d35f60e0901e295af6d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KBIQUBZLAXTYROSKIK5E5CDMSQ/bundle.json","state_url":"https://pith.science/pith/KBIQUBZLAXTYROSKIK5E5CDMSQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KBIQUBZLAXTYROSKIK5E5CDMSQ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-29T22:46:11Z","links":{"resolver":"https://pith.science/pith/KBIQUBZLAXTYROSKIK5E5CDMSQ","bundle":"https://pith.science/pith/KBIQUBZLAXTYROSKIK5E5CDMSQ/bundle.json","state":"https://pith.science/pith/KBIQUBZLAXTYROSKIK5E5CDMSQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KBIQUBZLAXTYROSKIK5E5CDMSQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:KBIQUBZLAXTYROSKIK5E5CDMSQ","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":"12dc266ad2758390347fadd3ef2690fea636d52cf9addbd1e53b414cc4144e09","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-02-25T19:16:30Z","title_canon_sha256":"7a9805b90346ff31e79794ba537450d8a6cc44739b8293536e422fff66175803"},"schema_version":"1.0","source":{"id":"1602.08043","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.08043","created_at":"2026-05-17T23:48:07Z"},{"alias_kind":"arxiv_version","alias_value":"1602.08043v2","created_at":"2026-05-17T23:48:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.08043","created_at":"2026-05-17T23:48:07Z"},{"alias_kind":"pith_short_12","alias_value":"KBIQUBZLAXTY","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"KBIQUBZLAXTYROSK","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"KBIQUBZL","created_at":"2026-05-18T12:30:25Z"}],"graph_snapshots":[{"event_id":"sha256:49472b81fc8ffbe2ca7b9f3fc635ae7c545d6bbb2a9b1d35f60e0901e295af6d","target":"graph","created_at":"2026-05-17T23:48:07Z","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"},"paper":{"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.","authors_text":"Jean-Dominique Deuschel, Mario Maurelli, Martin Slowik, Peter K. Friz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-02-25T19:16:30Z","title":"The enhanced Sanov theorem and propagation of chaos"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.08043","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:cf0695baad70129741160d3113f35eedca0dfb018c169c933995086e14ac15f1","target":"record","created_at":"2026-05-17T23:48:07Z","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":"12dc266ad2758390347fadd3ef2690fea636d52cf9addbd1e53b414cc4144e09","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-02-25T19:16:30Z","title_canon_sha256":"7a9805b90346ff31e79794ba537450d8a6cc44739b8293536e422fff66175803"},"schema_version":"1.0","source":{"id":"1602.08043","kind":"arxiv","version":2}},"canonical_sha256":"50510a072b05e788ba4a42ba4e886c94109e76dfa6699c5722ed0da78334d510","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"50510a072b05e788ba4a42ba4e886c94109e76dfa6699c5722ed0da78334d510","first_computed_at":"2026-05-17T23:48:07.760997Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:48:07.760997Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jvYlB7ySqv7KN7K23Pa4I25pU8DX2iaP6lj7WTMZFa4Y+1o98W4Fu6+IU5yO725G5lWK32y/8CZKyFoM+no9Dw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:48:07.761502Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.08043","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cf0695baad70129741160d3113f35eedca0dfb018c169c933995086e14ac15f1","sha256:49472b81fc8ffbe2ca7b9f3fc635ae7c545d6bbb2a9b1d35f60e0901e295af6d"],"state_sha256":"05b4f75ac71f35a5061d6f37637472b08a904889434d49af02b6afaf6ce21eef"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OnqmFY4VV5UrSYY69WN2Lrji99JB+KtV0YziKYRY88keyKPULdlar5rEkLDqIHde/To9Kh4KAlYA7KVr1J8CDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T22:46:11.756330Z","bundle_sha256":"f97332b1500b21fe51d55cacb94dabd57b11d6e560e085e39e9da95596e97001"}}