{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:I55UDVHLJ346CL7JUIW66FASYX","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":"1c931c68f1564ab0e7564fc01353f4ac3fcd1ea6a89e79af528b41ce0d78622b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-03-18T09:03:09Z","title_canon_sha256":"25b9a45bda128ae6731581a9aba4a33ed5f6080483fb551289dbfd942af3341e"},"schema_version":"1.0","source":{"id":"1403.4377","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.4377","created_at":"2026-05-18T02:56:05Z"},{"alias_kind":"arxiv_version","alias_value":"1403.4377v1","created_at":"2026-05-18T02:56:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.4377","created_at":"2026-05-18T02:56:05Z"},{"alias_kind":"pith_short_12","alias_value":"I55UDVHLJ346","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"I55UDVHLJ346CL7J","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"I55UDVHL","created_at":"2026-05-18T12:28:33Z"}],"graph_snapshots":[{"event_id":"sha256:4cb560a838ebf11645827f4455549a5d37c38f51d9cffce29767c65b07cbee57","target":"graph","created_at":"2026-05-18T02:56:05Z","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 considers the problem of partially observed optimal control for forward stochastic systems which are driven by Brownian motions and an independent Poisson random measure with a feature that the cost functional is of mean-field type. When all the system coefficients and the objective performance functionals are allowed to be random, possibly non-Markovian, Malliavin calculus is employed to derive a maximum principle for the optimal control of such a system where the adjointprocess is explicitly expressed. We also investigate the mean-field type optimal control problems for systems dr","authors_text":"David Nualart, Qing Zhou, Yaozhong Hu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-03-18T09:03:09Z","title":"On optimal mean-field type control problems of stochastic systems with jump processes under partial information"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.4377","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":"sha256:9e0572ed8f8eef329e40802892eb4ffacaa5b347c57a316bce7ece5515cb8736","target":"record","created_at":"2026-05-18T02:56:05Z","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":"1c931c68f1564ab0e7564fc01353f4ac3fcd1ea6a89e79af528b41ce0d78622b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-03-18T09:03:09Z","title_canon_sha256":"25b9a45bda128ae6731581a9aba4a33ed5f6080483fb551289dbfd942af3341e"},"schema_version":"1.0","source":{"id":"1403.4377","kind":"arxiv","version":1}},"canonical_sha256":"477b41d4eb4ef9e12fe9a22def1412c5cd4d39b020c19360bb9cd8d978be752a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"477b41d4eb4ef9e12fe9a22def1412c5cd4d39b020c19360bb9cd8d978be752a","first_computed_at":"2026-05-18T02:56:05.908332Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:56:05.908332Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"L/EqwxzWMqxICZPUHumN3lqLS/H4X8MqfFZQQI7RMVNAEneXLvAM/yFOqBeFv+92xm3JITUcG+PAxmANj50OBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:56:05.908734Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.4377","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9e0572ed8f8eef329e40802892eb4ffacaa5b347c57a316bce7ece5515cb8736","sha256:4cb560a838ebf11645827f4455549a5d37c38f51d9cffce29767c65b07cbee57"],"state_sha256":"79ba29feed5d6d8ba83d2205f43a947870752bdc368d72ce9f08232a6745f3a9"}