{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:BBEGNJEUBTWMYC5MSJ6ZADW2EV","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":"a2b6909d5a91cfc80e81410f353853b0a5aece342a702e677f0d8986a6203151","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-04-16T03:13:01Z","title_canon_sha256":"023f1b5a51496a10d960aa084bd11951ef9e3c01ac64738a0d8d011915333e01"},"schema_version":"1.0","source":{"id":"1204.3351","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.3351","created_at":"2026-05-18T03:57:51Z"},{"alias_kind":"arxiv_version","alias_value":"1204.3351v1","created_at":"2026-05-18T03:57:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.3351","created_at":"2026-05-18T03:57:51Z"},{"alias_kind":"pith_short_12","alias_value":"BBEGNJEUBTWM","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"BBEGNJEUBTWMYC5M","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"BBEGNJEU","created_at":"2026-05-18T12:26:58Z"}],"graph_snapshots":[{"event_id":"sha256:6575b24ef09f00c2cb53664008c4aef10d2523dbd2516afbd4b74221d0425820","target":"graph","created_at":"2026-05-18T03:57:51Z","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":"This paper explores the relationship between non-Markovian fully coupled forward-backward stochastic systems and path-dependent PDEs. The definition of classical solution for the path-dependent PDE is given within the framework of functional It\\^{o} calculus. Under mild hypotheses, we prove that the forward-backward stochastic system provides the unique classical solution to the path-dependent PDE.","authors_text":"Shaolin Ji, Shuzhen Yang","cross_cats":["math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-04-16T03:13:01Z","title":"Non-Markovian Fully Coupled Forward-Backward Stochastic Systems and Classical Solutions of Path-dependent PDEs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.3351","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":"sha256:7ff1b5df7fc226b5857c8a9f3f8bc1d2603ac0460fde8839562b6af1f4ef7280","target":"record","created_at":"2026-05-18T03:57:51Z","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":"a2b6909d5a91cfc80e81410f353853b0a5aece342a702e677f0d8986a6203151","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-04-16T03:13:01Z","title_canon_sha256":"023f1b5a51496a10d960aa084bd11951ef9e3c01ac64738a0d8d011915333e01"},"schema_version":"1.0","source":{"id":"1204.3351","kind":"arxiv","version":1}},"canonical_sha256":"084866a4940ceccc0bac927d900eda255f75b6e7b311007d34dbc741e07cd571","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"084866a4940ceccc0bac927d900eda255f75b6e7b311007d34dbc741e07cd571","first_computed_at":"2026-05-18T03:57:51.734470Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:57:51.734470Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hgnnxEalthQD4CuRvlTQp0xy2OBRpzRYI/V7hvnIgKwAWkFEQA66Buz+K0jvfIqJ7XDZo0YEvWhOoFCj/ftlDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:57:51.735003Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.3351","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7ff1b5df7fc226b5857c8a9f3f8bc1d2603ac0460fde8839562b6af1f4ef7280","sha256:6575b24ef09f00c2cb53664008c4aef10d2523dbd2516afbd4b74221d0425820"],"state_sha256":"79ec13604b38fbe6ea314a884211af13d1f0f4f4a0f78f0c5c227d295db4a1d7"}