{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:QQYKTD6YBDM7U5FD6T4OMBQHJW","short_pith_number":"pith:QQYKTD6Y","canonical_record":{"source":{"id":"1805.06717","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-05-17T12:01:10Z","cross_cats_sorted":[],"title_canon_sha256":"95a3e29a57b1be8a52def8b9f317ae1fb76e8113778c762a56b69509089c2723","abstract_canon_sha256":"57767a0c276148a8c1d34d934945f4cd111c8f25fbedf7b76295416e49bf0275"},"schema_version":"1.0"},"canonical_sha256":"8430a98fd808d9fa74a3f4f8e606074d9a414835d197af6d5185cb2e3f986128","source":{"kind":"arxiv","id":"1805.06717","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.06717","created_at":"2026-05-18T00:15:43Z"},{"alias_kind":"arxiv_version","alias_value":"1805.06717v1","created_at":"2026-05-18T00:15:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.06717","created_at":"2026-05-18T00:15:43Z"},{"alias_kind":"pith_short_12","alias_value":"QQYKTD6YBDM7","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"QQYKTD6YBDM7U5FD","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"QQYKTD6Y","created_at":"2026-05-18T12:32:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:QQYKTD6YBDM7U5FD6T4OMBQHJW","target":"record","payload":{"canonical_record":{"source":{"id":"1805.06717","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-05-17T12:01:10Z","cross_cats_sorted":[],"title_canon_sha256":"95a3e29a57b1be8a52def8b9f317ae1fb76e8113778c762a56b69509089c2723","abstract_canon_sha256":"57767a0c276148a8c1d34d934945f4cd111c8f25fbedf7b76295416e49bf0275"},"schema_version":"1.0"},"canonical_sha256":"8430a98fd808d9fa74a3f4f8e606074d9a414835d197af6d5185cb2e3f986128","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:15:43.534972Z","signature_b64":"GQ0qCX95yiWqDTeNSwloFtZYDmnLGQJgU/6BaVxzB6pBqSQY0NKnTBiCm1KOTgVHnToQrJGDmmQKRJeY8C1fAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8430a98fd808d9fa74a3f4f8e606074d9a414835d197af6d5185cb2e3f986128","last_reissued_at":"2026-05-18T00:15:43.534427Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:15:43.534427Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1805.06717","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":"2026-05-18T00:15:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cwgKDA2Fg407gpLz/Jb0bqtHZGI7r/Oxss+7EEueZHUrFivy+rbuQ7UUwFFOWH9HFXH33NoNQbQdla7+yYEtBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T12:00:46.450195Z"},"content_sha256":"e382c987d82fd4423a6e2ebeab752c5e6b26814610ff26d2aee2126af5933ab3","schema_version":"1.0","event_id":"sha256:e382c987d82fd4423a6e2ebeab752c5e6b26814610ff26d2aee2126af5933ab3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:QQYKTD6YBDM7U5FD6T4OMBQHJW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Density for solutions to stochastic differential equations with unbounded drift","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"C. Olivera, C. Tudor","submitted_at":"2018-05-17T12:01:10Z","abstract_excerpt":"Via a special transform and by using the techniques of the Malliavin calculus, we analyze the density of the solution to a stochastic differential equation with unbounded drift."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.06717","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":"2026-05-18T00:15:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"REyrQZ/L6aQRAAxUOAvQyJ3Hu3h1eYEA78eeqF23f55soEpLr//y3pYQnWogP/Sx/szro9Tko/Nm0XZC9HnlAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T12:00:46.450557Z"},"content_sha256":"d7b3ef142de0dca2f3cf4fea21df5b9a48737d318d91cde4c1640c0a8b46f7ba","schema_version":"1.0","event_id":"sha256:d7b3ef142de0dca2f3cf4fea21df5b9a48737d318d91cde4c1640c0a8b46f7ba"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QQYKTD6YBDM7U5FD6T4OMBQHJW/bundle.json","state_url":"https://pith.science/pith/QQYKTD6YBDM7U5FD6T4OMBQHJW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QQYKTD6YBDM7U5FD6T4OMBQHJW/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":"2026-06-23T12:00:46Z","links":{"resolver":"https://pith.science/pith/QQYKTD6YBDM7U5FD6T4OMBQHJW","bundle":"https://pith.science/pith/QQYKTD6YBDM7U5FD6T4OMBQHJW/bundle.json","state":"https://pith.science/pith/QQYKTD6YBDM7U5FD6T4OMBQHJW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QQYKTD6YBDM7U5FD6T4OMBQHJW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:QQYKTD6YBDM7U5FD6T4OMBQHJW","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":"57767a0c276148a8c1d34d934945f4cd111c8f25fbedf7b76295416e49bf0275","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-05-17T12:01:10Z","title_canon_sha256":"95a3e29a57b1be8a52def8b9f317ae1fb76e8113778c762a56b69509089c2723"},"schema_version":"1.0","source":{"id":"1805.06717","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.06717","created_at":"2026-05-18T00:15:43Z"},{"alias_kind":"arxiv_version","alias_value":"1805.06717v1","created_at":"2026-05-18T00:15:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.06717","created_at":"2026-05-18T00:15:43Z"},{"alias_kind":"pith_short_12","alias_value":"QQYKTD6YBDM7","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"QQYKTD6YBDM7U5FD","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"QQYKTD6Y","created_at":"2026-05-18T12:32:46Z"}],"graph_snapshots":[{"event_id":"sha256:d7b3ef142de0dca2f3cf4fea21df5b9a48737d318d91cde4c1640c0a8b46f7ba","target":"graph","created_at":"2026-05-18T00:15:43Z","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":"Via a special transform and by using the techniques of the Malliavin calculus, we analyze the density of the solution to a stochastic differential equation with unbounded drift.","authors_text":"C. Olivera, C. Tudor","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-05-17T12:01:10Z","title":"Density for solutions to stochastic differential equations with unbounded drift"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.06717","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:e382c987d82fd4423a6e2ebeab752c5e6b26814610ff26d2aee2126af5933ab3","target":"record","created_at":"2026-05-18T00:15:43Z","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":"57767a0c276148a8c1d34d934945f4cd111c8f25fbedf7b76295416e49bf0275","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-05-17T12:01:10Z","title_canon_sha256":"95a3e29a57b1be8a52def8b9f317ae1fb76e8113778c762a56b69509089c2723"},"schema_version":"1.0","source":{"id":"1805.06717","kind":"arxiv","version":1}},"canonical_sha256":"8430a98fd808d9fa74a3f4f8e606074d9a414835d197af6d5185cb2e3f986128","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8430a98fd808d9fa74a3f4f8e606074d9a414835d197af6d5185cb2e3f986128","first_computed_at":"2026-05-18T00:15:43.534427Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:15:43.534427Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GQ0qCX95yiWqDTeNSwloFtZYDmnLGQJgU/6BaVxzB6pBqSQY0NKnTBiCm1KOTgVHnToQrJGDmmQKRJeY8C1fAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:15:43.534972Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.06717","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e382c987d82fd4423a6e2ebeab752c5e6b26814610ff26d2aee2126af5933ab3","sha256:d7b3ef142de0dca2f3cf4fea21df5b9a48737d318d91cde4c1640c0a8b46f7ba"],"state_sha256":"aed0072ee0e12e9ec833edd7c3e93658f8a2c27e2f909578a8417fe75b621a2e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MUrEuH5vNmaQ7MYPGYR+EfsUMJv/OvD8lmT41tfrwSgz7UQ0adFKugW4PWPBKD/LsfsJ2hXwL8/Mh9tKZOPjCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T12:00:46.452534Z","bundle_sha256":"60367ba10aa59865b74265b13908ceb8326894891b3a28b1ada7fe48cb617ef9"}}