{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:QEBCZ33JUZIVIEXQI3CUVZFITA","short_pith_number":"pith:QEBCZ33J","canonical_record":{"source":{"id":"1404.7577","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-04-30T02:46:18Z","cross_cats_sorted":[],"title_canon_sha256":"670c3d787c6a0cbc0078ffc4c44aabd80cfedc930289125876d8d57324e46f36","abstract_canon_sha256":"f565d287256854597d9859ede01542f40ed8f1d9915f6e20ce2ef21e83392e6e"},"schema_version":"1.0"},"canonical_sha256":"81022cef69a6515412f046c54ae4a8981affaee1a457c9165f6ed560fe6fe248","source":{"kind":"arxiv","id":"1404.7577","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.7577","created_at":"2026-05-18T02:52:55Z"},{"alias_kind":"arxiv_version","alias_value":"1404.7577v1","created_at":"2026-05-18T02:52:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.7577","created_at":"2026-05-18T02:52:55Z"},{"alias_kind":"pith_short_12","alias_value":"QEBCZ33JUZIV","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"QEBCZ33JUZIVIEXQ","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"QEBCZ33J","created_at":"2026-05-18T12:28:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:QEBCZ33JUZIVIEXQI3CUVZFITA","target":"record","payload":{"canonical_record":{"source":{"id":"1404.7577","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-04-30T02:46:18Z","cross_cats_sorted":[],"title_canon_sha256":"670c3d787c6a0cbc0078ffc4c44aabd80cfedc930289125876d8d57324e46f36","abstract_canon_sha256":"f565d287256854597d9859ede01542f40ed8f1d9915f6e20ce2ef21e83392e6e"},"schema_version":"1.0"},"canonical_sha256":"81022cef69a6515412f046c54ae4a8981affaee1a457c9165f6ed560fe6fe248","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:52:55.289744Z","signature_b64":"z5F2K6KHI0QhZdM+5FNxE9aaMvp+2jg/06wihQ41HRL07aorUurxNDgsrmmaf+ThjoEJ2YtGnn3DlWSEhuWlCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"81022cef69a6515412f046c54ae4a8981affaee1a457c9165f6ed560fe6fe248","last_reissued_at":"2026-05-18T02:52:55.289231Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:52:55.289231Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1404.7577","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:52:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aIX9n/8yeXNVtvWyO9cv6SVTEDBMa9Vspd8qdPdnaG3Kh7urZOGDX530zGRaryosqNxoNqfVQmdx5vc1pqUYAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T18:21:19.249305Z"},"content_sha256":"07b2f3ca43b6d4fb2c9f31d51aa3d289af0d1beac8d9f45f2af6c3af94a4045a","schema_version":"1.0","event_id":"sha256:07b2f3ca43b6d4fb2c9f31d51aa3d289af0d1beac8d9f45f2af6c3af94a4045a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:QEBCZ33JUZIVIEXQI3CUVZFITA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Optimal Control Problems of Forward-Backward Stochastic Volterra Integral Equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Jiongmin Yong, Tianxiao Wang, Yufeng Shi","submitted_at":"2014-04-30T02:46:18Z","abstract_excerpt":"Optimal control problems of forward-backward stochastic Volterra integral equations (FBSVIEs in short) are formulated and studied. A general duality principle is established for linear backward stochastic integral equation and linear stochastic Fredholm-Volterra integral equation with mean-field. With the help of such a duality principle, together with some other new delicate and subtle skills, Pontryagin type maximum principles are proved for two optimal control problems of FBSVIEs."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.7577","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:52:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2MF1MZJ6bUtWth87pBMl/veL7/wHikOS0nDv4KnI6I9Y2oIX547lZNhs0aVcJB0z+T42y8Gih/AiA2sGGr6kAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T18:21:19.249943Z"},"content_sha256":"215bcd85906cbbdee15d613b6036383d290a8bae8669e360f99feab2edd90ec8","schema_version":"1.0","event_id":"sha256:215bcd85906cbbdee15d613b6036383d290a8bae8669e360f99feab2edd90ec8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QEBCZ33JUZIVIEXQI3CUVZFITA/bundle.json","state_url":"https://pith.science/pith/QEBCZ33JUZIVIEXQI3CUVZFITA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QEBCZ33JUZIVIEXQI3CUVZFITA/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-25T18:21:19Z","links":{"resolver":"https://pith.science/pith/QEBCZ33JUZIVIEXQI3CUVZFITA","bundle":"https://pith.science/pith/QEBCZ33JUZIVIEXQI3CUVZFITA/bundle.json","state":"https://pith.science/pith/QEBCZ33JUZIVIEXQI3CUVZFITA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QEBCZ33JUZIVIEXQI3CUVZFITA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:QEBCZ33JUZIVIEXQI3CUVZFITA","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":"f565d287256854597d9859ede01542f40ed8f1d9915f6e20ce2ef21e83392e6e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-04-30T02:46:18Z","title_canon_sha256":"670c3d787c6a0cbc0078ffc4c44aabd80cfedc930289125876d8d57324e46f36"},"schema_version":"1.0","source":{"id":"1404.7577","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.7577","created_at":"2026-05-18T02:52:55Z"},{"alias_kind":"arxiv_version","alias_value":"1404.7577v1","created_at":"2026-05-18T02:52:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.7577","created_at":"2026-05-18T02:52:55Z"},{"alias_kind":"pith_short_12","alias_value":"QEBCZ33JUZIV","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"QEBCZ33JUZIVIEXQ","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"QEBCZ33J","created_at":"2026-05-18T12:28:43Z"}],"graph_snapshots":[{"event_id":"sha256:215bcd85906cbbdee15d613b6036383d290a8bae8669e360f99feab2edd90ec8","target":"graph","created_at":"2026-05-18T02:52:55Z","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":"Optimal control problems of forward-backward stochastic Volterra integral equations (FBSVIEs in short) are formulated and studied. A general duality principle is established for linear backward stochastic integral equation and linear stochastic Fredholm-Volterra integral equation with mean-field. With the help of such a duality principle, together with some other new delicate and subtle skills, Pontryagin type maximum principles are proved for two optimal control problems of FBSVIEs.","authors_text":"Jiongmin Yong, Tianxiao Wang, Yufeng Shi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-04-30T02:46:18Z","title":"Optimal Control Problems of Forward-Backward Stochastic Volterra Integral Equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.7577","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":"sha256:07b2f3ca43b6d4fb2c9f31d51aa3d289af0d1beac8d9f45f2af6c3af94a4045a","target":"record","created_at":"2026-05-18T02:52:55Z","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":"f565d287256854597d9859ede01542f40ed8f1d9915f6e20ce2ef21e83392e6e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-04-30T02:46:18Z","title_canon_sha256":"670c3d787c6a0cbc0078ffc4c44aabd80cfedc930289125876d8d57324e46f36"},"schema_version":"1.0","source":{"id":"1404.7577","kind":"arxiv","version":1}},"canonical_sha256":"81022cef69a6515412f046c54ae4a8981affaee1a457c9165f6ed560fe6fe248","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"81022cef69a6515412f046c54ae4a8981affaee1a457c9165f6ed560fe6fe248","first_computed_at":"2026-05-18T02:52:55.289231Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:52:55.289231Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"z5F2K6KHI0QhZdM+5FNxE9aaMvp+2jg/06wihQ41HRL07aorUurxNDgsrmmaf+ThjoEJ2YtGnn3DlWSEhuWlCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:52:55.289744Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.7577","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:07b2f3ca43b6d4fb2c9f31d51aa3d289af0d1beac8d9f45f2af6c3af94a4045a","sha256:215bcd85906cbbdee15d613b6036383d290a8bae8669e360f99feab2edd90ec8"],"state_sha256":"65c833dc79cdc50f5b592837d7cb588a2357c61bdb95dbd611cff1e51cc6546e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZhjjSA0iJX9VTP8gFEyC5+sdFTBAzbndpr/27/izIqeuUQ1j2bdz+RB792LzAZXgsT+xOf5mFEEnQaNlPczvDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T18:21:19.253885Z","bundle_sha256":"c80a196b0d6f1c8dd695efcbe587f6d14ee78ba3f54afcbd8663e1f69b58116d"}}