{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:YIQCK5NHUXJ56Z7IFILRIPSXXT","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":"049460272afe6d5f26c09157f1872ef612c43bb66ec2bac318f7b540f93f520c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2010-12-09T19:41:33Z","title_canon_sha256":"bfe84a29a011b75af86bb6adbc0009f4f6bd48f22171fe6d4728dfe4b5d5b6ca"},"schema_version":"1.0","source":{"id":"1012.2092","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.2092","created_at":"2026-05-18T04:33:17Z"},{"alias_kind":"arxiv_version","alias_value":"1012.2092v2","created_at":"2026-05-18T04:33:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.2092","created_at":"2026-05-18T04:33:17Z"},{"alias_kind":"pith_short_12","alias_value":"YIQCK5NHUXJ5","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"YIQCK5NHUXJ56Z7I","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"YIQCK5NH","created_at":"2026-05-18T12:26:17Z"}],"graph_snapshots":[{"event_id":"sha256:4299d2270c62025cbb79de3a48c4c73d46949da8ad741d5854f3d40866667421","target":"graph","created_at":"2026-05-18T04:33:17Z","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":"We are interested in optimally driving a dynamical system that can be influenced by exogenous noises. This is generally called a Stochastic Optimal Control (SOC) problem and the Dynamic Programming (DP) principle is the natural way of solving it. Unfortunately, DP faces the so-called curse of dimensionality: the complexity of solving DP equations grows exponentially with the dimension of the information variable that is sufficient to take optimal decisions (the state variable). For a large class of SOC problems, which includes important practical problems, we propose an original way of obtaini","authors_text":"Cermics), Guy Cohen (CERMICS), Kengy Barty, Pierre Carpentier (UMA), Pierre Girardeau (UMA","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2010-12-09T19:41:33Z","title":"Price decomposition in large-scale stochastic optimal control"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.2092","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:e37c24aa826fee47094183ac638a21b47d373013380f9ad891772c6f47540d23","target":"record","created_at":"2026-05-18T04:33:17Z","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":"049460272afe6d5f26c09157f1872ef612c43bb66ec2bac318f7b540f93f520c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2010-12-09T19:41:33Z","title_canon_sha256":"bfe84a29a011b75af86bb6adbc0009f4f6bd48f22171fe6d4728dfe4b5d5b6ca"},"schema_version":"1.0","source":{"id":"1012.2092","kind":"arxiv","version":2}},"canonical_sha256":"c2202575a7a5d3df67e82a17143e57bcd06a6b7043af06b0d8f0ec317fbd237e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c2202575a7a5d3df67e82a17143e57bcd06a6b7043af06b0d8f0ec317fbd237e","first_computed_at":"2026-05-18T04:33:17.667533Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:33:17.667533Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9doIyk4J2JpPkwMwFd1LfWxFI/KdN3Wo6he3lz4zn23asFEyC+mOb3uBFMpn1a5jDXjUU6l5s5F0J102vwbgCw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:33:17.668141Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.2092","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e37c24aa826fee47094183ac638a21b47d373013380f9ad891772c6f47540d23","sha256:4299d2270c62025cbb79de3a48c4c73d46949da8ad741d5854f3d40866667421"],"state_sha256":"ed8eb8b3a1844d1dea8f6f91a8df5a8c302f8936b87c32fcc0aa5ae593aa80fc"}