{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:IDGUFJZLP6YZ43GRO3LUMTND2T","short_pith_number":"pith:IDGUFJZL","canonical_record":{"source":{"id":"1704.01052","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-04-04T15:21:47Z","cross_cats_sorted":[],"title_canon_sha256":"11c44077c27470db927f08eef4c925372467168748022ccbe419348d2870a4b5","abstract_canon_sha256":"2ec669f69c834cfaf31f629984b520ba1dede79ef19350254c92f79472689da0"},"schema_version":"1.0"},"canonical_sha256":"40cd42a72b7fb19e6cd176d7464da3d4cff34f3dd1809b5205f679a2ba9ae91f","source":{"kind":"arxiv","id":"1704.01052","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.01052","created_at":"2026-05-18T00:47:16Z"},{"alias_kind":"arxiv_version","alias_value":"1704.01052v1","created_at":"2026-05-18T00:47:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.01052","created_at":"2026-05-18T00:47:16Z"},{"alias_kind":"pith_short_12","alias_value":"IDGUFJZLP6YZ","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"IDGUFJZLP6YZ43GR","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"IDGUFJZL","created_at":"2026-05-18T12:31:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:IDGUFJZLP6YZ43GRO3LUMTND2T","target":"record","payload":{"canonical_record":{"source":{"id":"1704.01052","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-04-04T15:21:47Z","cross_cats_sorted":[],"title_canon_sha256":"11c44077c27470db927f08eef4c925372467168748022ccbe419348d2870a4b5","abstract_canon_sha256":"2ec669f69c834cfaf31f629984b520ba1dede79ef19350254c92f79472689da0"},"schema_version":"1.0"},"canonical_sha256":"40cd42a72b7fb19e6cd176d7464da3d4cff34f3dd1809b5205f679a2ba9ae91f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:47:16.334116Z","signature_b64":"Z7KPCOW9UCPMou2G3WjNSK7F9duR3zu+qPc86RNpcqZ2s3a70g57sIuNZjP9COzl/Eqo9z5UV0/9MikL/dL2Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"40cd42a72b7fb19e6cd176d7464da3d4cff34f3dd1809b5205f679a2ba9ae91f","last_reissued_at":"2026-05-18T00:47:16.333436Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:47:16.333436Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1704.01052","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:47:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AGfdk3+bO+YirEpDBLevU25NFUJkQx/7poUj42bEm86z4zRNjLNaI6pQXfJxd6VrpoPTAl+kF3jSPD06jKdAAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T14:11:31.422144Z"},"content_sha256":"f6d6a9a31cbc46a2c062270be89e4bb15bb7b6a6c401db42020bc2fbb1cda41a","schema_version":"1.0","event_id":"sha256:f6d6a9a31cbc46a2c062270be89e4bb15bb7b6a6c401db42020bc2fbb1cda41a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:IDGUFJZLP6YZ43GRO3LUMTND2T","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"McKean-Vlasov limit for interacting systems with simultaneous jumps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Luisa Andreis, Markus Fischer, Paolo Dai Pra","submitted_at":"2017-04-04T15:21:47Z","abstract_excerpt":"Motivated by several applications, including neuronal models, we consider the McKean-Vlasov limit for mean-field systems of interacting diffusions with simultaneous jumps. We prove propagation of chaos via a coupling technique that involves an intermediate process and that gives a rate of convergence for the $W_1$ Wasserstein distance between the empirical measures of the two systems on the space of trajectories $\\mathbf{D}([0,T],\\mathbb{R}^d)$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.01052","kind":"arxiv","version":1},"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":"2026-05-18T00:47:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LLeK1QlPce6wnJzE5Yu6alxkeczKWshILod7vA96eam4IyfxvDOk7gpffQpobN5Zz+xuukmrZ/u9/ot12FzOAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T14:11:31.422499Z"},"content_sha256":"3d336a66ba4f798c01b1972aa1f1d9f207103002ad3ccb9c0e5b1a06f3a1888c","schema_version":"1.0","event_id":"sha256:3d336a66ba4f798c01b1972aa1f1d9f207103002ad3ccb9c0e5b1a06f3a1888c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IDGUFJZLP6YZ43GRO3LUMTND2T/bundle.json","state_url":"https://pith.science/pith/IDGUFJZLP6YZ43GRO3LUMTND2T/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IDGUFJZLP6YZ43GRO3LUMTND2T/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":"2026-06-01T14:11:31Z","links":{"resolver":"https://pith.science/pith/IDGUFJZLP6YZ43GRO3LUMTND2T","bundle":"https://pith.science/pith/IDGUFJZLP6YZ43GRO3LUMTND2T/bundle.json","state":"https://pith.science/pith/IDGUFJZLP6YZ43GRO3LUMTND2T/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IDGUFJZLP6YZ43GRO3LUMTND2T/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:IDGUFJZLP6YZ43GRO3LUMTND2T","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":"2ec669f69c834cfaf31f629984b520ba1dede79ef19350254c92f79472689da0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-04-04T15:21:47Z","title_canon_sha256":"11c44077c27470db927f08eef4c925372467168748022ccbe419348d2870a4b5"},"schema_version":"1.0","source":{"id":"1704.01052","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.01052","created_at":"2026-05-18T00:47:16Z"},{"alias_kind":"arxiv_version","alias_value":"1704.01052v1","created_at":"2026-05-18T00:47:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.01052","created_at":"2026-05-18T00:47:16Z"},{"alias_kind":"pith_short_12","alias_value":"IDGUFJZLP6YZ","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"IDGUFJZLP6YZ43GR","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"IDGUFJZL","created_at":"2026-05-18T12:31:21Z"}],"graph_snapshots":[{"event_id":"sha256:3d336a66ba4f798c01b1972aa1f1d9f207103002ad3ccb9c0e5b1a06f3a1888c","target":"graph","created_at":"2026-05-18T00:47:16Z","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":"Motivated by several applications, including neuronal models, we consider the McKean-Vlasov limit for mean-field systems of interacting diffusions with simultaneous jumps. We prove propagation of chaos via a coupling technique that involves an intermediate process and that gives a rate of convergence for the $W_1$ Wasserstein distance between the empirical measures of the two systems on the space of trajectories $\\mathbf{D}([0,T],\\mathbb{R}^d)$.","authors_text":"Luisa Andreis, Markus Fischer, Paolo Dai Pra","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-04-04T15:21:47Z","title":"McKean-Vlasov limit for interacting systems with simultaneous jumps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.01052","kind":"arxiv","version":1},"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:f6d6a9a31cbc46a2c062270be89e4bb15bb7b6a6c401db42020bc2fbb1cda41a","target":"record","created_at":"2026-05-18T00:47:16Z","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":"2ec669f69c834cfaf31f629984b520ba1dede79ef19350254c92f79472689da0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-04-04T15:21:47Z","title_canon_sha256":"11c44077c27470db927f08eef4c925372467168748022ccbe419348d2870a4b5"},"schema_version":"1.0","source":{"id":"1704.01052","kind":"arxiv","version":1}},"canonical_sha256":"40cd42a72b7fb19e6cd176d7464da3d4cff34f3dd1809b5205f679a2ba9ae91f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"40cd42a72b7fb19e6cd176d7464da3d4cff34f3dd1809b5205f679a2ba9ae91f","first_computed_at":"2026-05-18T00:47:16.333436Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:47:16.333436Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Z7KPCOW9UCPMou2G3WjNSK7F9duR3zu+qPc86RNpcqZ2s3a70g57sIuNZjP9COzl/Eqo9z5UV0/9MikL/dL2Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:47:16.334116Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.01052","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f6d6a9a31cbc46a2c062270be89e4bb15bb7b6a6c401db42020bc2fbb1cda41a","sha256:3d336a66ba4f798c01b1972aa1f1d9f207103002ad3ccb9c0e5b1a06f3a1888c"],"state_sha256":"2dce015084dd2ba13a876d89395d8d07fd57b5ede525cec8e0336d3d9b30ac79"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EZMVhNCGTvpu+IW9WejDxn/T5YIs1DpmVuJz13OlocTodaUek//MHDomHgBEHA7mxfeosY92De8VgW7r/eTuBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T14:11:31.424575Z","bundle_sha256":"9ee20b086d1be46c1ea8ad4982f5a638c994f19ad8cef5faedde744a1ec5ca8d"}}