{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:ZW3VFPEQZKWWCCH6SLM2EOL7DB","short_pith_number":"pith:ZW3VFPEQ","canonical_record":{"source":{"id":"1701.02833","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-01-11T03:10:58Z","cross_cats_sorted":[],"title_canon_sha256":"db8d050563f79f763aa77427e5edf2f5dea889a3833039462b6ac1a7fcc2fbf5","abstract_canon_sha256":"a91292aff4886b77f5204debec7007090a98ce8f1fb81ef4b2b75cb37ede2adf"},"schema_version":"1.0"},"canonical_sha256":"cdb752bc90caad6108fe92d9a2397f18648586e3bd252a7afdbabae836c9fe35","source":{"kind":"arxiv","id":"1701.02833","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.02833","created_at":"2026-05-17T23:56:25Z"},{"alias_kind":"arxiv_version","alias_value":"1701.02833v2","created_at":"2026-05-17T23:56:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.02833","created_at":"2026-05-17T23:56:25Z"},{"alias_kind":"pith_short_12","alias_value":"ZW3VFPEQZKWW","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZW3VFPEQZKWWCCH6","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZW3VFPEQ","created_at":"2026-05-18T12:31:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:ZW3VFPEQZKWWCCH6SLM2EOL7DB","target":"record","payload":{"canonical_record":{"source":{"id":"1701.02833","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-01-11T03:10:58Z","cross_cats_sorted":[],"title_canon_sha256":"db8d050563f79f763aa77427e5edf2f5dea889a3833039462b6ac1a7fcc2fbf5","abstract_canon_sha256":"a91292aff4886b77f5204debec7007090a98ce8f1fb81ef4b2b75cb37ede2adf"},"schema_version":"1.0"},"canonical_sha256":"cdb752bc90caad6108fe92d9a2397f18648586e3bd252a7afdbabae836c9fe35","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:56:25.333027Z","signature_b64":"WeNbyyYMkNRH6Ou5ASQNwHNk1bknDQfcXD0xhMYS7hl/h1r2GatZ3QIN79qYXR1M/ouLocBiSsItMxtDaOTtBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cdb752bc90caad6108fe92d9a2397f18648586e3bd252a7afdbabae836c9fe35","last_reissued_at":"2026-05-17T23:56:25.332622Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:56:25.332622Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1701.02833","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:56:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1pbpB6kSyrM3hOLKRykOSq/aWb7OR9VIyr3ibeBjomMg9MU1vgbmOMJcB9bQHj3zqdVQ+CZ7QiKpPLe/2vNNCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T06:13:13.728369Z"},"content_sha256":"2057af764eb2b4aecfb52c48068b348268e4e34c951cc47eecdbfd61fc9fbba5","schema_version":"1.0","event_id":"sha256:2057af764eb2b4aecfb52c48068b348268e4e34c951cc47eecdbfd61fc9fbba5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:ZW3VFPEQZKWWCCH6SLM2EOL7DB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Linear Quadratic Stochastic Optimal Control Problems with Operator Coefficients: Open-Loop Solutions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Jiongmin Yong, Qingmeng Wei, Zhiyong Yu","submitted_at":"2017-01-11T03:10:58Z","abstract_excerpt":"An optimal control problem is considered for linear stochastic differential equations with quadratic cost functional. The coefficients of the state equation and the weights in the cost functional are bounded operators on the spaces of square integrable random variables. The main motivation of our study is linear quadratic optimal control problems for mean-field stochastic differential equations. Open-loop solvability of the problem is investigated, which is characterized as the solvability of a system of linear coupled forward-backward stochastic differential equations (FBSDE, for short) with "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.02833","kind":"arxiv","version":2},"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":"2026-05-17T23:56:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SRdjizg8KWLqazvV67mXt7v1+pL/rGxtBpniOBFm66hYKjM9YiwTWs94Fa3sripDav3pRNHq/l8ejCvznSMfBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T06:13:13.728717Z"},"content_sha256":"081f1f5c452f612a81d11f4a1691073418844141f25c957a2bd19f5be8d65865","schema_version":"1.0","event_id":"sha256:081f1f5c452f612a81d11f4a1691073418844141f25c957a2bd19f5be8d65865"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZW3VFPEQZKWWCCH6SLM2EOL7DB/bundle.json","state_url":"https://pith.science/pith/ZW3VFPEQZKWWCCH6SLM2EOL7DB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZW3VFPEQZKWWCCH6SLM2EOL7DB/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":"2026-05-31T06:13:13Z","links":{"resolver":"https://pith.science/pith/ZW3VFPEQZKWWCCH6SLM2EOL7DB","bundle":"https://pith.science/pith/ZW3VFPEQZKWWCCH6SLM2EOL7DB/bundle.json","state":"https://pith.science/pith/ZW3VFPEQZKWWCCH6SLM2EOL7DB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZW3VFPEQZKWWCCH6SLM2EOL7DB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:ZW3VFPEQZKWWCCH6SLM2EOL7DB","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":"a91292aff4886b77f5204debec7007090a98ce8f1fb81ef4b2b75cb37ede2adf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-01-11T03:10:58Z","title_canon_sha256":"db8d050563f79f763aa77427e5edf2f5dea889a3833039462b6ac1a7fcc2fbf5"},"schema_version":"1.0","source":{"id":"1701.02833","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.02833","created_at":"2026-05-17T23:56:25Z"},{"alias_kind":"arxiv_version","alias_value":"1701.02833v2","created_at":"2026-05-17T23:56:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.02833","created_at":"2026-05-17T23:56:25Z"},{"alias_kind":"pith_short_12","alias_value":"ZW3VFPEQZKWW","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZW3VFPEQZKWWCCH6","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZW3VFPEQ","created_at":"2026-05-18T12:31:59Z"}],"graph_snapshots":[{"event_id":"sha256:081f1f5c452f612a81d11f4a1691073418844141f25c957a2bd19f5be8d65865","target":"graph","created_at":"2026-05-17T23:56:25Z","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":"An optimal control problem is considered for linear stochastic differential equations with quadratic cost functional. The coefficients of the state equation and the weights in the cost functional are bounded operators on the spaces of square integrable random variables. The main motivation of our study is linear quadratic optimal control problems for mean-field stochastic differential equations. Open-loop solvability of the problem is investigated, which is characterized as the solvability of a system of linear coupled forward-backward stochastic differential equations (FBSDE, for short) with ","authors_text":"Jiongmin Yong, Qingmeng Wei, Zhiyong Yu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-01-11T03:10:58Z","title":"Linear Quadratic Stochastic Optimal Control Problems with Operator Coefficients: Open-Loop Solutions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.02833","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":"sha256:2057af764eb2b4aecfb52c48068b348268e4e34c951cc47eecdbfd61fc9fbba5","target":"record","created_at":"2026-05-17T23:56:25Z","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":"a91292aff4886b77f5204debec7007090a98ce8f1fb81ef4b2b75cb37ede2adf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-01-11T03:10:58Z","title_canon_sha256":"db8d050563f79f763aa77427e5edf2f5dea889a3833039462b6ac1a7fcc2fbf5"},"schema_version":"1.0","source":{"id":"1701.02833","kind":"arxiv","version":2}},"canonical_sha256":"cdb752bc90caad6108fe92d9a2397f18648586e3bd252a7afdbabae836c9fe35","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cdb752bc90caad6108fe92d9a2397f18648586e3bd252a7afdbabae836c9fe35","first_computed_at":"2026-05-17T23:56:25.332622Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:56:25.332622Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WeNbyyYMkNRH6Ou5ASQNwHNk1bknDQfcXD0xhMYS7hl/h1r2GatZ3QIN79qYXR1M/ouLocBiSsItMxtDaOTtBA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:56:25.333027Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.02833","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2057af764eb2b4aecfb52c48068b348268e4e34c951cc47eecdbfd61fc9fbba5","sha256:081f1f5c452f612a81d11f4a1691073418844141f25c957a2bd19f5be8d65865"],"state_sha256":"d0e3d7b9701ebe6643a66ea4d0df6e51621bf9e5bc92228cc2a85274f30c5168"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WTyPmYNnafwCJtFk0MQmnftRzGX3XtUDj+Tp6KfLvCES0OtfXo3i7gTFtbBjRm3q6CAigV5BCf4uVP5LSc7jCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T06:13:13.730801Z","bundle_sha256":"9957715eff3aaf69f2d18331d64228fa15372922f811936e16420442a488f027"}}