{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:YFNL7IEUSCISF73S7XJVXJQI5O","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":"5b1f8e6912a9bbdac135dd88f3cd64be16b8877e1f1ce674ff81869a1c87c2d3","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2025-02-10T11:12:43Z","title_canon_sha256":"dfc21f5d4db9bd10e8defb24a1f2695ac2ac414317447b9af8a5e8da8056d9da"},"schema_version":"1.0","source":{"id":"2502.06356","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.06356","created_at":"2026-07-05T11:19:51Z"},{"alias_kind":"arxiv_version","alias_value":"2502.06356v2","created_at":"2026-07-05T11:19:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.06356","created_at":"2026-07-05T11:19:51Z"},{"alias_kind":"pith_short_12","alias_value":"YFNL7IEUSCIS","created_at":"2026-07-05T11:19:51Z"},{"alias_kind":"pith_short_16","alias_value":"YFNL7IEUSCISF73S","created_at":"2026-07-05T11:19:51Z"},{"alias_kind":"pith_short_8","alias_value":"YFNL7IEU","created_at":"2026-07-05T11:19:51Z"}],"graph_snapshots":[{"event_id":"sha256:fc3883b86ba619a121d41322a67d1d6b9d4e020efe748f862170eac5bac8b9c4","target":"graph","created_at":"2026-07-05T11:19:51Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2502.06356/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper we make a survey on the so called randomization method, a recent methodology to study stochastic optimization problems. It allows to represent the value function of an optimal control problem by a suitable backward stochastic differential equation (BSDE), by means of an auxiliary optimization problem having the same value as the starting one. This method works for a large class of control problems and provides a BSDE representation to many related PDEs of Hamilton-Jacobi-Bellman type, even in the fully non linear case. After a general informal introduction we explain the method g","authors_text":"Marco Fuhrman","cross_cats":["math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2025-02-10T11:12:43Z","title":"The randomization method in stochastic optimal control"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.06356","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":"sha256:260a2e96cb557e876d27e5c6341978eba8544338455c37b2845d924d6afeb1a8","target":"record","created_at":"2026-07-05T11:19:51Z","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":"5b1f8e6912a9bbdac135dd88f3cd64be16b8877e1f1ce674ff81869a1c87c2d3","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2025-02-10T11:12:43Z","title_canon_sha256":"dfc21f5d4db9bd10e8defb24a1f2695ac2ac414317447b9af8a5e8da8056d9da"},"schema_version":"1.0","source":{"id":"2502.06356","kind":"arxiv","version":2}},"canonical_sha256":"c15abfa094909122ff72fdd35ba608eb845a2f772c73d477f49a11a7319edf7e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c15abfa094909122ff72fdd35ba608eb845a2f772c73d477f49a11a7319edf7e","first_computed_at":"2026-07-05T11:19:51.285717Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:19:51.285717Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3+/n8LxhTdSrczmToNmrMxZLlhHE5OwFfdgOxR3lSdi0LKcijedR01BFC5PMked3FIYI70AacId7qPRjkApHBg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:19:51.286220Z","signed_message":"canonical_sha256_bytes"},"source_id":"2502.06356","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:260a2e96cb557e876d27e5c6341978eba8544338455c37b2845d924d6afeb1a8","sha256:fc3883b86ba619a121d41322a67d1d6b9d4e020efe748f862170eac5bac8b9c4"],"state_sha256":"210184688ad014917d000e1ce9c2c2739632ca285c5e1230b68effd2e082fd72"}