{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:WIGEI2EI6PUBHM37FCP5JBVQ3G","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":"c370dafff37f31feb2b5cda444d31100842189d52fe50f3ed791f218e8ad8270","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-06-02T06:35:02Z","title_canon_sha256":"40a971fe1e59f99aa3e975c43d30e211aa7febb886dbf84b4fbc780a94e75b28"},"schema_version":"1.0","source":{"id":"1306.0176","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.0176","created_at":"2026-05-18T03:15:44Z"},{"alias_kind":"arxiv_version","alias_value":"1306.0176v2","created_at":"2026-05-18T03:15:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.0176","created_at":"2026-05-18T03:15:44Z"},{"alias_kind":"pith_short_12","alias_value":"WIGEI2EI6PUB","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"WIGEI2EI6PUBHM37","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"WIGEI2EI","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:f10a422a4d7de7bf2cbf749a5df18bfe473112a5d7c0c1540220d456fc1fcf68","target":"graph","created_at":"2026-05-18T03:15:44Z","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":"In this paper, we consider the stochastic optimal control problems under G-expectation. Based on the theory of backward stochastic differential equations driven by G-Brownian motion, which was introduced in [10.11], we can investigate the more general stochastic optimal control problems under G-expectation than that were constructed in [28]. Then we obtain a generalized dynamic programming principle and the value function is proved to be a viscosity solution of a fully nonlinear second-order partial differential equation.","authors_text":"Shuguang Zhang, Xiuchun Bi, Zhonghao Zheng","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-06-02T06:35:02Z","title":"Stochastic Optimization Theory of Backward Stochastic Differential Equations Driven by G-Brownian Motion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.0176","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:d07cc0aad0c255d57cdd22f39456f587c4a8b32b8c391440dddc8fae2be8b19c","target":"record","created_at":"2026-05-18T03:15:44Z","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":"c370dafff37f31feb2b5cda444d31100842189d52fe50f3ed791f218e8ad8270","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-06-02T06:35:02Z","title_canon_sha256":"40a971fe1e59f99aa3e975c43d30e211aa7febb886dbf84b4fbc780a94e75b28"},"schema_version":"1.0","source":{"id":"1306.0176","kind":"arxiv","version":2}},"canonical_sha256":"b20c446888f3e813b37f289fd486b0d99fe0a7e3a1cb0e3303110b4904d16212","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b20c446888f3e813b37f289fd486b0d99fe0a7e3a1cb0e3303110b4904d16212","first_computed_at":"2026-05-18T03:15:44.990460Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:15:44.990460Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"X2AcbxWs8F8OK4lkts4EdSgzsl9XsdkuFgc8YomMqymo9k8Y8OYg+4lMgcXFw0RQ02d4Eau6MY4FfTQ4APVZAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:15:44.991119Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.0176","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d07cc0aad0c255d57cdd22f39456f587c4a8b32b8c391440dddc8fae2be8b19c","sha256:f10a422a4d7de7bf2cbf749a5df18bfe473112a5d7c0c1540220d456fc1fcf68"],"state_sha256":"805561b520599332b748f8d0e568baf6bc06634a2b21eab931fbcbd8a28054c2"}