{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:5JSTGZJCDSDFDH5Z22ZWBEEW4Z","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":"d1bf7269eb6d0f92ede19c54628e3846e0816c3a485ff362138932abdf5ab40d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.MF","submitted_at":"2019-03-06T13:56:56Z","title_canon_sha256":"70fcb4531f5f9949d68d07003e857047b6e62f30c04c1ef4eae279b46a14aa57"},"schema_version":"1.0","source":{"id":"1903.02383","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.02383","created_at":"2026-05-17T23:51:55Z"},{"alias_kind":"arxiv_version","alias_value":"1903.02383v1","created_at":"2026-05-17T23:51:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.02383","created_at":"2026-05-17T23:51:55Z"},{"alias_kind":"pith_short_12","alias_value":"5JSTGZJCDSDF","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_16","alias_value":"5JSTGZJCDSDFDH5Z","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_8","alias_value":"5JSTGZJC","created_at":"2026-05-18T12:33:10Z"}],"graph_snapshots":[{"event_id":"sha256:db88124d0c956f60f935902c7d0b9b6d3d76d7984b2c6b19e326849dfb68c7c5","target":"graph","created_at":"2026-05-17T23:51:55Z","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 exhibit sufficient conditions such that components of a multidimensional SDE giving rise to a local martingale $M$ are strict local martingales or martingales. We assume that the equations have diffusion coefficients of the form $\\sigma(M_t,v_t),$ with $v_t$ being a stochastic volatility term.","authors_text":"Aditi Dandapani, Philip Protter","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.MF","submitted_at":"2019-03-06T13:56:56Z","title":"Strict Local Martingales and the Khasminskii test for Explosions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.02383","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:c4108396524a57f97db79f15d77237e728be1eb46b441687d015358c425e1ebe","target":"record","created_at":"2026-05-17T23:51:55Z","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":"d1bf7269eb6d0f92ede19c54628e3846e0816c3a485ff362138932abdf5ab40d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.MF","submitted_at":"2019-03-06T13:56:56Z","title_canon_sha256":"70fcb4531f5f9949d68d07003e857047b6e62f30c04c1ef4eae279b46a14aa57"},"schema_version":"1.0","source":{"id":"1903.02383","kind":"arxiv","version":1}},"canonical_sha256":"ea653365221c86519fb9d6b3609096e665fc24d2c8cf016178ca6eb431f16e57","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ea653365221c86519fb9d6b3609096e665fc24d2c8cf016178ca6eb431f16e57","first_computed_at":"2026-05-17T23:51:55.439085Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:51:55.439085Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wweRnSd4kJUaOMqw5NdL7J5nJdD0XQM3WyLuDH1qq2Q7imRYfaVtXcQ14mvRHFOGTc9V9MdcMZGRMS5CX578CA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:51:55.439579Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.02383","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c4108396524a57f97db79f15d77237e728be1eb46b441687d015358c425e1ebe","sha256:db88124d0c956f60f935902c7d0b9b6d3d76d7984b2c6b19e326849dfb68c7c5"],"state_sha256":"d72217dcc661e528867c42a44aca4ddfef82a90a77ae8b119429f4e55e155cff"}