{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:FKYHKMRZQOC26WB4GPKOJGJSJP","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":"d28edbb82e4d53530be0c07e98779151ff0b69bba0b84fe5568addca5f891fbd","cross_cats_sorted":["math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-06-05T04:45:18Z","title_canon_sha256":"284dee0c2aae37cdccd8862643fb844829ed80217276ad0a7ec12ac96d779409"},"schema_version":"1.0","source":{"id":"1806.01493","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.01493","created_at":"2026-05-18T00:14:12Z"},{"alias_kind":"arxiv_version","alias_value":"1806.01493v1","created_at":"2026-05-18T00:14:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.01493","created_at":"2026-05-18T00:14:12Z"},{"alias_kind":"pith_short_12","alias_value":"FKYHKMRZQOC2","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"FKYHKMRZQOC26WB4","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"FKYHKMRZ","created_at":"2026-05-18T12:32:22Z"}],"graph_snapshots":[{"event_id":"sha256:0c629fc74e7d4ff99275269ee3fdcdb5502c452f30e82b09e3acad97151c48e1","target":"graph","created_at":"2026-05-18T00:14:12Z","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 present and prove a Newton-Kantorovitch method for solving decoupled forward-backward stochastic differential equations (FBSDEs) involving smooth coefficients with uniformly bounded derivatives. As Newton's method is required a suitable initial condition to converge, we show that such initial conditions are solutions of a linear backward stochastic differential equation. In addition, we show that converges linearly to the solution.","authors_text":"Dai Taguchi, Takahiro Tsuchiya","cross_cats":["math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-06-05T04:45:18Z","title":"Newton-Kantorovitch method for decoupled forward-backward stochastic differential equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.01493","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":"sha256:37335bd9b29d47c1e4e89dd893c0187492a4bde127dc16c6c29b78d07158353d","target":"record","created_at":"2026-05-18T00:14:12Z","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":"d28edbb82e4d53530be0c07e98779151ff0b69bba0b84fe5568addca5f891fbd","cross_cats_sorted":["math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-06-05T04:45:18Z","title_canon_sha256":"284dee0c2aae37cdccd8862643fb844829ed80217276ad0a7ec12ac96d779409"},"schema_version":"1.0","source":{"id":"1806.01493","kind":"arxiv","version":1}},"canonical_sha256":"2ab07532398385af583c33d4e499324bc05b84384c10e197015cf9ce5b6306ef","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2ab07532398385af583c33d4e499324bc05b84384c10e197015cf9ce5b6306ef","first_computed_at":"2026-05-18T00:14:12.802188Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:14:12.802188Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/+9NQmfMnnNupbetiOyqhJaXprz8qdn3ObtBimiEcoMb7VoPE+YAjaxmJ/iDWi3aXnkMpE2s/UVk5pgKf0YTBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:14:12.802788Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.01493","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:37335bd9b29d47c1e4e89dd893c0187492a4bde127dc16c6c29b78d07158353d","sha256:0c629fc74e7d4ff99275269ee3fdcdb5502c452f30e82b09e3acad97151c48e1"],"state_sha256":"3cfa1c3ebc35c8a465c33f76222823b4aeae4d8defb7ce2b31db80f9079602e4"}