{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:PXTM7UASOKM7HLK375KJQCDLAN","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":"c36a16634709ef274c6e1ca26cb764deaf9cead9af01a3c07423dcfc0a5c8c4f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-07-18T20:07:39Z","title_canon_sha256":"8e915afafc1800c92ca3af8ef3c03d267f5e4fbbe9de32f8e508894c4c65c818"},"schema_version":"1.0","source":{"id":"1407.5102","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.5102","created_at":"2026-05-18T00:25:12Z"},{"alias_kind":"arxiv_version","alias_value":"1407.5102v2","created_at":"2026-05-18T00:25:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.5102","created_at":"2026-05-18T00:25:12Z"},{"alias_kind":"pith_short_12","alias_value":"PXTM7UASOKM7","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"PXTM7UASOKM7HLK3","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"PXTM7UAS","created_at":"2026-05-18T12:28:43Z"}],"graph_snapshots":[{"event_id":"sha256:ca9055eb094b4535122c76b370bfd87646f2249ad3bd31cb2cb2105993a4920c","target":"graph","created_at":"2026-05-18T00:25:12Z","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 show that the tail distribution $U$ of the explosion time for a multidimensional diffusion (and more generally, a suitable function $\\mathscr{U}$ of the Feynman-Kac type involving the explosion time) is a viscosity solution of an associated parabolic partial differential equation (PDE), provided that the dispersion and drift coefficients of the diffusion are continuous. This generalizes a result of Karatzas and Ruf (2013), who characterize $U$ as a classical solution of a Cauchy problem for the PDE in the one-dimensional case, under the stronger condition of local H\\\"older continuity on the","authors_text":"Yinghui Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-07-18T20:07:39Z","title":"Viscosity Characterization of the Explosion Time Distribution for Diffusions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.5102","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:a024d2812c589a56bba137ea510fa1ed5dac8e2a3924539b8844813c11d1b1d8","target":"record","created_at":"2026-05-18T00:25:12Z","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":"c36a16634709ef274c6e1ca26cb764deaf9cead9af01a3c07423dcfc0a5c8c4f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-07-18T20:07:39Z","title_canon_sha256":"8e915afafc1800c92ca3af8ef3c03d267f5e4fbbe9de32f8e508894c4c65c818"},"schema_version":"1.0","source":{"id":"1407.5102","kind":"arxiv","version":2}},"canonical_sha256":"7de6cfd0127299f3ad5bff5498086b036964b40de960d0b70058f1cf568f8fb2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7de6cfd0127299f3ad5bff5498086b036964b40de960d0b70058f1cf568f8fb2","first_computed_at":"2026-05-18T00:25:12.155590Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:25:12.155590Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"in6EA2oVzotcR1JRXm/PyXSxL+6XvvtYZ2IfYKeTJbEvE+hQmq/ksg8AYADURHLMSny+acS2c6TTjMcMbmwNCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:25:12.156181Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.5102","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a024d2812c589a56bba137ea510fa1ed5dac8e2a3924539b8844813c11d1b1d8","sha256:ca9055eb094b4535122c76b370bfd87646f2249ad3bd31cb2cb2105993a4920c"],"state_sha256":"fd048d677b56e1531d4540c8f86391c2ceb87deeb1fd7db8299e9b2a8160195e"}