{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:DAGXJI7XZBDMTQ2TVADEUXHJBH","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":"3890ac2126a9c6b2fcf6f3e14783c13a2fbfeb4f44a0aad873a606a387156473","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-05-24T09:49:31Z","title_canon_sha256":"4b73d50b07c004708fd103dfdbac37fbf07f7589920c93b923315ef3e3bce551"},"schema_version":"1.0","source":{"id":"1705.08672","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.08672","created_at":"2026-05-18T00:43:44Z"},{"alias_kind":"arxiv_version","alias_value":"1705.08672v1","created_at":"2026-05-18T00:43:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.08672","created_at":"2026-05-18T00:43:44Z"},{"alias_kind":"pith_short_12","alias_value":"DAGXJI7XZBDM","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"DAGXJI7XZBDMTQ2T","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"DAGXJI7X","created_at":"2026-05-18T12:31:10Z"}],"graph_snapshots":[{"event_id":"sha256:af98ee406ced44dcf99b2ca8cb7470e4a5f0df7afa97220858143877b9b243a4","target":"graph","created_at":"2026-05-18T00:43:44Z","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 controlling a discrete time dynamical system that can be influenced by exogenous uncertainties. This is generally called a Stochas-tic Optimal Control (SOC) problem and the Dynamic Programming (DP) principle is one of the standard 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 variable that is sufficient to take optimal decisions (the so-called state variable). For a large class of SOC problems, which includes important practical applications in","authors_text":"Fran\\c{c}ois Pacaud (CERMICS), Jean-Philippe Chancelier (CERMICS), Pierre Carpentier (ENSTA ParisTech UMA), Vincent Lecl\\`ere (CERMICS)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-05-24T09:49:31Z","title":"Stochastic decomposition applied to large-scale hydro valleys management"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.08672","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":"sha256:663ba746ef24dd0da1b9ec0ba18aef374cad40c0f24955e1cf6f4543de63ddf6","target":"record","created_at":"2026-05-18T00:43:44Z","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":"3890ac2126a9c6b2fcf6f3e14783c13a2fbfeb4f44a0aad873a606a387156473","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-05-24T09:49:31Z","title_canon_sha256":"4b73d50b07c004708fd103dfdbac37fbf07f7589920c93b923315ef3e3bce551"},"schema_version":"1.0","source":{"id":"1705.08672","kind":"arxiv","version":1}},"canonical_sha256":"180d74a3f7c846c9c353a8064a5ce909d053c6cc6d7c99a8e520480f83a2ea9e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"180d74a3f7c846c9c353a8064a5ce909d053c6cc6d7c99a8e520480f83a2ea9e","first_computed_at":"2026-05-18T00:43:44.595565Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:43:44.595565Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mbOieX+btm8R8AF5LEiZ2l3+lW3/hy3pmbRTd0WPPLyuaFVqsB6k78gcE0TS5vQyiBypTqmq0X6lREiWjFsCBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:43:44.596168Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.08672","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:663ba746ef24dd0da1b9ec0ba18aef374cad40c0f24955e1cf6f4543de63ddf6","sha256:af98ee406ced44dcf99b2ca8cb7470e4a5f0df7afa97220858143877b9b243a4"],"state_sha256":"6aec9e5a56f40defd1c22568dad5c4278d0fb46cb1e01a5086002eeacd3b8ee0"}