{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:YEUMMVEPQ4RRAEOHWA73DMTQNT","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":"ac95e8ee93e92aa6d18ee67733ea2deff41c75ad5b4658f784cbe28b4b4ff6b5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2008-04-28T10:08:05Z","title_canon_sha256":"7f70e81d577279e99529de5fe21489b3c37277b85135c16efaf93dca2d476ab1"},"schema_version":"1.0","source":{"id":"0804.4362","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0804.4362","created_at":"2026-05-18T03:28:43Z"},{"alias_kind":"arxiv_version","alias_value":"0804.4362v1","created_at":"2026-05-18T03:28:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0804.4362","created_at":"2026-05-18T03:28:43Z"},{"alias_kind":"pith_short_12","alias_value":"YEUMMVEPQ4RR","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"YEUMMVEPQ4RRAEOH","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"YEUMMVEP","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:b50a7f66027fe8b3ea35016ca86d4e77d6094a62bf7c50244a9af5c4726c191f","target":"graph","created_at":"2026-05-18T03:28:43Z","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 study ergodic quadratic optimal stochastic control problems for an affine state equation with state and control dependent noise and with stochastic coefficients. We assume stationarity of the coefficients and a finite cost condition. We first treat the stationary case and we show that the optimal cost corresponding to this ergodic control problem coincides with the one corresponding to a suitable stationary control problem and we provide a full characterization of the ergodic optimal cost and control.","authors_text":"Federica Masiero, Giuseppina Guatteri","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2008-04-28T10:08:05Z","title":"Ergodic Optimal Quadratic Control for an Affine Equation with Stochastic and Stationary Coefficients"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0804.4362","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:fef7d55a7a711ccac3bcf91bea3e0eebcb48e0161fe8ab2f55e3cc28c5e407f3","target":"record","created_at":"2026-05-18T03:28:43Z","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":"ac95e8ee93e92aa6d18ee67733ea2deff41c75ad5b4658f784cbe28b4b4ff6b5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2008-04-28T10:08:05Z","title_canon_sha256":"7f70e81d577279e99529de5fe21489b3c37277b85135c16efaf93dca2d476ab1"},"schema_version":"1.0","source":{"id":"0804.4362","kind":"arxiv","version":1}},"canonical_sha256":"c128c6548f87231011c7b03fb1b2706ce85c0b37e8f381c4e7642fd9ab8d361b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c128c6548f87231011c7b03fb1b2706ce85c0b37e8f381c4e7642fd9ab8d361b","first_computed_at":"2026-05-18T03:28:43.341735Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:28:43.341735Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1/rN5/4fokRXZyQzihn+sZQ4eYFPSJ5Yl3LdF9UuZe200pdw9f/BYicAZUhWWsyj7uO8auAHRc2A6a6gs2QoDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:28:43.342407Z","signed_message":"canonical_sha256_bytes"},"source_id":"0804.4362","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fef7d55a7a711ccac3bcf91bea3e0eebcb48e0161fe8ab2f55e3cc28c5e407f3","sha256:b50a7f66027fe8b3ea35016ca86d4e77d6094a62bf7c50244a9af5c4726c191f"],"state_sha256":"da42fc9aa175baf3bd6866527db72dd15be650a76908bb6a20e244be5f4d81d8"}