{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:TAD7ASC2XROKVZXT67NGQGYU5M","short_pith_number":"pith:TAD7ASC2","canonical_record":{"source":{"id":"1506.04709","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2015-06-15T19:16:54Z","cross_cats_sorted":["math.PR","stat.TH"],"title_canon_sha256":"1469a9125e3a058c7d61a328fda40de50cf1eab995b7575f2106a2cfd22bd293","abstract_canon_sha256":"51333cbb10dea0e808af9881b410ea7b235fefd0bd58069f067fb31dcadf0d8e"},"schema_version":"1.0"},"canonical_sha256":"9807f0485abc5caae6f3f7da681b14eb2831f321f5ad5574460aab275367d527","source":{"kind":"arxiv","id":"1506.04709","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.04709","created_at":"2026-07-04T23:53:04Z"},{"alias_kind":"arxiv_version","alias_value":"1506.04709v4","created_at":"2026-07-04T23:53:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.04709","created_at":"2026-07-04T23:53:04Z"},{"alias_kind":"pith_short_12","alias_value":"TAD7ASC2XROK","created_at":"2026-07-04T23:53:04Z"},{"alias_kind":"pith_short_16","alias_value":"TAD7ASC2XROKVZXT","created_at":"2026-07-04T23:53:04Z"},{"alias_kind":"pith_short_8","alias_value":"TAD7ASC2","created_at":"2026-07-04T23:53:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:TAD7ASC2XROKVZXT67NGQGYU5M","target":"record","payload":{"canonical_record":{"source":{"id":"1506.04709","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2015-06-15T19:16:54Z","cross_cats_sorted":["math.PR","stat.TH"],"title_canon_sha256":"1469a9125e3a058c7d61a328fda40de50cf1eab995b7575f2106a2cfd22bd293","abstract_canon_sha256":"51333cbb10dea0e808af9881b410ea7b235fefd0bd58069f067fb31dcadf0d8e"},"schema_version":"1.0"},"canonical_sha256":"9807f0485abc5caae6f3f7da681b14eb2831f321f5ad5574460aab275367d527","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T23:53:04.829470Z","signature_b64":"jeTnPbaDpL3+xlzyG8q1RFozBARODIvajZpJHEnnlGPj287EXGss0gnRkbjUIxCfrraNjUGF6hA/qQvy3uuFCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9807f0485abc5caae6f3f7da681b14eb2831f321f5ad5574460aab275367d527","last_reissued_at":"2026-07-04T23:53:04.829037Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T23:53:04.829037Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1506.04709","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T23:53:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lNGqazsVCuvJa/hzPZEhLfMdxw4EY+hdxQAgEl1QZ1NCuhkgD/UoQr+X6yZvY5zlGc0PDi8aGwQxfaxNGF/HAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T18:22:44.153899Z"},"content_sha256":"3522c2c43508a7ab2af29d8b300b705251995737b107b7ed5af8f2e2cba79a9e","schema_version":"1.0","event_id":"sha256:3522c2c43508a7ab2af29d8b300b705251995737b107b7ed5af8f2e2cba79a9e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:TAD7ASC2XROKVZXT67NGQGYU5M","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Consistency of Bayesian nonparametric inference for discretely observed jump diffusions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR","stat.TH"],"primary_cat":"math.ST","authors_text":"Dario Spano, Jere Koskela, Paul A. Jenkins","submitted_at":"2015-06-15T19:16:54Z","abstract_excerpt":"We introduce verifiable criteria for weak posterior consistency of identifiable Bayesian nonparametric inference for jump diffusions with unit diffusion coefficient and uniformly Lipschitz drift and jump coefficients in arbitrary dimension. The criteria are expressed in terms of coefficients of the SDEs describing the process, and do not depend on intractable quantities such as transition densities. We also show that products of discrete net and Dirichlet mixture model priors satisfy our conditions, again under an identifiability assumption. This generalises known results by incorporating jump"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.04709","kind":"arxiv","version":4},"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/1506.04709/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T23:53:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f5vudU2zuV8UqekbZ1iarL+nvbqdE1472A+0EWlLT8QeXrdKzsHlkD2hTDrE5jcVcAQ5unwTLuEjjsAPgwZgDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T18:22:44.154452Z"},"content_sha256":"0df4e807d588e036b6869fab95a3278dc6fb438e9ff3ef87a7fde578e4f3de2e","schema_version":"1.0","event_id":"sha256:0df4e807d588e036b6869fab95a3278dc6fb438e9ff3ef87a7fde578e4f3de2e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TAD7ASC2XROKVZXT67NGQGYU5M/bundle.json","state_url":"https://pith.science/pith/TAD7ASC2XROKVZXT67NGQGYU5M/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TAD7ASC2XROKVZXT67NGQGYU5M/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":"2026-08-22T18:22:44Z","links":{"resolver":"https://pith.science/pith/TAD7ASC2XROKVZXT67NGQGYU5M","bundle":"https://pith.science/pith/TAD7ASC2XROKVZXT67NGQGYU5M/bundle.json","state":"https://pith.science/pith/TAD7ASC2XROKVZXT67NGQGYU5M/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TAD7ASC2XROKVZXT67NGQGYU5M/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:TAD7ASC2XROKVZXT67NGQGYU5M","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":"51333cbb10dea0e808af9881b410ea7b235fefd0bd58069f067fb31dcadf0d8e","cross_cats_sorted":["math.PR","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2015-06-15T19:16:54Z","title_canon_sha256":"1469a9125e3a058c7d61a328fda40de50cf1eab995b7575f2106a2cfd22bd293"},"schema_version":"1.0","source":{"id":"1506.04709","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.04709","created_at":"2026-07-04T23:53:04Z"},{"alias_kind":"arxiv_version","alias_value":"1506.04709v4","created_at":"2026-07-04T23:53:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.04709","created_at":"2026-07-04T23:53:04Z"},{"alias_kind":"pith_short_12","alias_value":"TAD7ASC2XROK","created_at":"2026-07-04T23:53:04Z"},{"alias_kind":"pith_short_16","alias_value":"TAD7ASC2XROKVZXT","created_at":"2026-07-04T23:53:04Z"},{"alias_kind":"pith_short_8","alias_value":"TAD7ASC2","created_at":"2026-07-04T23:53:04Z"}],"graph_snapshots":[{"event_id":"sha256:0df4e807d588e036b6869fab95a3278dc6fb438e9ff3ef87a7fde578e4f3de2e","target":"graph","created_at":"2026-07-04T23:53:04Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1506.04709/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce verifiable criteria for weak posterior consistency of identifiable Bayesian nonparametric inference for jump diffusions with unit diffusion coefficient and uniformly Lipschitz drift and jump coefficients in arbitrary dimension. The criteria are expressed in terms of coefficients of the SDEs describing the process, and do not depend on intractable quantities such as transition densities. We also show that products of discrete net and Dirichlet mixture model priors satisfy our conditions, again under an identifiability assumption. This generalises known results by incorporating jump","authors_text":"Dario Spano, Jere Koskela, Paul A. Jenkins","cross_cats":["math.PR","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2015-06-15T19:16:54Z","title":"Consistency of Bayesian nonparametric inference for discretely observed jump diffusions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.04709","kind":"arxiv","version":4},"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":"sha256:3522c2c43508a7ab2af29d8b300b705251995737b107b7ed5af8f2e2cba79a9e","target":"record","created_at":"2026-07-04T23:53:04Z","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":"51333cbb10dea0e808af9881b410ea7b235fefd0bd58069f067fb31dcadf0d8e","cross_cats_sorted":["math.PR","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2015-06-15T19:16:54Z","title_canon_sha256":"1469a9125e3a058c7d61a328fda40de50cf1eab995b7575f2106a2cfd22bd293"},"schema_version":"1.0","source":{"id":"1506.04709","kind":"arxiv","version":4}},"canonical_sha256":"9807f0485abc5caae6f3f7da681b14eb2831f321f5ad5574460aab275367d527","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9807f0485abc5caae6f3f7da681b14eb2831f321f5ad5574460aab275367d527","first_computed_at":"2026-07-04T23:53:04.829037Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T23:53:04.829037Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jeTnPbaDpL3+xlzyG8q1RFozBARODIvajZpJHEnnlGPj287EXGss0gnRkbjUIxCfrraNjUGF6hA/qQvy3uuFCw==","signature_status":"signed_v1","signed_at":"2026-07-04T23:53:04.829470Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.04709","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3522c2c43508a7ab2af29d8b300b705251995737b107b7ed5af8f2e2cba79a9e","sha256:0df4e807d588e036b6869fab95a3278dc6fb438e9ff3ef87a7fde578e4f3de2e"],"state_sha256":"167937c9e2f00e93d36fe34cce39a01d1be695d58bf4865286ad715fcdba9829"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ljbDH0CfXO5bwQqk9ri1/cFSjTKITuXC48GJMWV8GAocNSo9hKakrJXOA3vBpJkH7irtd8wg5ej8/mNI/1jwDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-22T18:22:44.158158Z","bundle_sha256":"ee59aad317a9c3235c172b5d4d97260ed84c20b5ee5cff77b77548c17b26f88d"}}