{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:PO7JI6C5RKWWGBNB2RMJJYWCV3","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":"33f51a249462352c39572a0c7c6e3ace05a33de1c2c9caffd74e64f7c190a0c9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-03-06T11:08:37Z","title_canon_sha256":"0358bf82f3e2549ee5c4f0808a21948302d857843c17f18c3b7ff008b5ace9c2"},"schema_version":"1.0","source":{"id":"1803.02109","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.02109","created_at":"2026-05-17T23:59:17Z"},{"alias_kind":"arxiv_version","alias_value":"1803.02109v4","created_at":"2026-05-17T23:59:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.02109","created_at":"2026-05-17T23:59:17Z"},{"alias_kind":"pith_short_12","alias_value":"PO7JI6C5RKWW","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"PO7JI6C5RKWWGBNB","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"PO7JI6C5","created_at":"2026-05-18T12:32:46Z"}],"graph_snapshots":[{"event_id":"sha256:7b757ae9c05f6af6eb3a07bcb329e13d25f49974c965cba11edb7b722878e81f","target":"graph","created_at":"2026-05-17T23:59:17Z","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 study a stochastic optimal control problem for fully coupled forward-backward stochastic control systems with a nonempty control domain. For our problem, the first-order and second-order variational equations are fully coupled linear FBSDEs. Inspired by Hu (Hu, Probability, Uncertainty and Quantitative Risk, 2(1) (2017):pp 1-20), we develop a new decoupling approach by introducing an adjoint equation which is a quadratic BSDE. By revealing the relations among the terms of the first-order Taylor's expansions, we estimate the orders of them and derive a global stochastic maximum principle whi","authors_text":"Mingshang Hu, Shaolin Ji, Xiaole Xue","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-03-06T11:08:37Z","title":"A global stochastic maximum principle for fully coupled forward-backward stochastic systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.02109","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:d78dbbf71fb371de4a95bcf8ab7fba4c43a7e8a5a164be986e59f7d81877b3d8","target":"record","created_at":"2026-05-17T23:59:17Z","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":"33f51a249462352c39572a0c7c6e3ace05a33de1c2c9caffd74e64f7c190a0c9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-03-06T11:08:37Z","title_canon_sha256":"0358bf82f3e2549ee5c4f0808a21948302d857843c17f18c3b7ff008b5ace9c2"},"schema_version":"1.0","source":{"id":"1803.02109","kind":"arxiv","version":4}},"canonical_sha256":"7bbe94785d8aad6305a1d45894e2c2aefe0f2b748bf61c7c35a1c802cf2618e0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7bbe94785d8aad6305a1d45894e2c2aefe0f2b748bf61c7c35a1c802cf2618e0","first_computed_at":"2026-05-17T23:59:17.570120Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:59:17.570120Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pNk/NydIJvl1vv+qvFkBES/ZAScI51Hh9/BBLLEWJMH2CUxV99o+CN/q8HwPASQvBROK1BuqufpOVSXrgBcSDg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:59:17.570736Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.02109","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d78dbbf71fb371de4a95bcf8ab7fba4c43a7e8a5a164be986e59f7d81877b3d8","sha256:7b757ae9c05f6af6eb3a07bcb329e13d25f49974c965cba11edb7b722878e81f"],"state_sha256":"dca0983fc2595f75cdcd5bfeb1fc49ec47a11be8c850e8ac650886adf9b132c7"}