{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:XQETMWFA3UIWQSDEFBCRNZXFGQ","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":"ae7f2516476b99447bb3e934b7d848ab55323114311b948fb42c734634374c8b","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-07-16T13:18:29Z","title_canon_sha256":"5f55912d007e0f7e8826ad03013794d8d588c9252dbbaa2a8bd44ead82af1831"},"schema_version":"1.0","source":{"id":"1507.04559","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.04559","created_at":"2026-05-18T00:48:05Z"},{"alias_kind":"arxiv_version","alias_value":"1507.04559v4","created_at":"2026-05-18T00:48:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.04559","created_at":"2026-05-18T00:48:05Z"},{"alias_kind":"pith_short_12","alias_value":"XQETMWFA3UIW","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"XQETMWFA3UIWQSDE","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"XQETMWFA","created_at":"2026-05-18T12:29:50Z"}],"graph_snapshots":[{"event_id":"sha256:84ecfd72b96d32758e9e939eaf341605f5ff6b28f2c93db873743586d7fd8d81","target":"graph","created_at":"2026-05-18T00:48:05Z","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":"The Cauchy problem for a multidimensional linear transport equation with unbounded drift is investigated. Provided the drift is Holder continuous , existence, uniqueness and strong stability of solutions are obtained. The proofs are based on a careful analysis of the associated stochastic flow of characteristics and techniques of stochastic analysis.","authors_text":"Christian Olivera, David A.C. Mollinedo","cross_cats":["math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-07-16T13:18:29Z","title":"Well-posedness of the stochastic transport equation with unbounded drift"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.04559","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":"sha256:03eba9308c5b3a0dc17ae846d479e105fb35527a549f339737fdfd676263576b","target":"record","created_at":"2026-05-18T00:48:05Z","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":"ae7f2516476b99447bb3e934b7d848ab55323114311b948fb42c734634374c8b","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-07-16T13:18:29Z","title_canon_sha256":"5f55912d007e0f7e8826ad03013794d8d588c9252dbbaa2a8bd44ead82af1831"},"schema_version":"1.0","source":{"id":"1507.04559","kind":"arxiv","version":4}},"canonical_sha256":"bc093658a0dd11684864284516e6e53415338f625c4ff9a10da91dde72378660","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bc093658a0dd11684864284516e6e53415338f625c4ff9a10da91dde72378660","first_computed_at":"2026-05-18T00:48:05.881824Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:48:05.881824Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RYaGw0d97IUAdWzkOM42H3y1/XvDDkplCMAdH3Uicl96xkSaItP4Afs3Fn3tOhSIrHt6+XCESBgAx/Q4HUlpAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:48:05.882413Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.04559","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:03eba9308c5b3a0dc17ae846d479e105fb35527a549f339737fdfd676263576b","sha256:84ecfd72b96d32758e9e939eaf341605f5ff6b28f2c93db873743586d7fd8d81"],"state_sha256":"07e7e48f60959ae2cd11ac00f68b0ba48fd9919790f3a7b13eb7f8368f0a0d7d"}