{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:TCASL2XMMK6OI4O5E74BAJGWRZ","short_pith_number":"pith:TCASL2XM","schema_version":"1.0","canonical_sha256":"988125eaec62bce471dd27f81024d68e6ba411fb22bdb94f84892e1bf05d6ce6","source":{"kind":"arxiv","id":"1103.3005","version":3},"attestation_state":"computed","paper":{"title":"The Separation Principle in Stochastic Control, Redux","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY"],"primary_cat":"math.OC","authors_text":"Anders Lindquist, Tryphon T. Georgiou","submitted_at":"2011-03-15T19:52:42Z","abstract_excerpt":"Over the last 50 years a steady stream of accounts have been written on the separation principle of stochastic control. Even in the context of the linear-quadratic regulator in continuous time with Gaussian white noise, subtle difficulties arise, unexpected by many, that are often overlooked. In this paper we propose a new framework for establishing the separation principle. This approach takes the viewpoint that stochastic systems are well-defined maps between sample paths rather than stochastic processes per se and allows us to extend the separation principle to systems driven by martingales"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1103.3005","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2011-03-15T19:52:42Z","cross_cats_sorted":["cs.SY"],"title_canon_sha256":"980914913139b7aa785fd9529639bf2473e30b1c8509d6fe30584baf283280be","abstract_canon_sha256":"da7c8224177ffd23f9e12a354026dafdba9798a0dd2f2817b67f02ce544caacd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:26:39.696477Z","signature_b64":"dfBWM2nvzZvf2gYUqp7UN3HBMT+bXDLON2WKQT+R9+3D+HRalYcxl/oJicDCj3NcA0kmjkuBruArg/sMzKhVAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"988125eaec62bce471dd27f81024d68e6ba411fb22bdb94f84892e1bf05d6ce6","last_reissued_at":"2026-05-18T02:26:39.696010Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:26:39.696010Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Separation Principle in Stochastic Control, Redux","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY"],"primary_cat":"math.OC","authors_text":"Anders Lindquist, Tryphon T. Georgiou","submitted_at":"2011-03-15T19:52:42Z","abstract_excerpt":"Over the last 50 years a steady stream of accounts have been written on the separation principle of stochastic control. Even in the context of the linear-quadratic regulator in continuous time with Gaussian white noise, subtle difficulties arise, unexpected by many, that are often overlooked. In this paper we propose a new framework for establishing the separation principle. This approach takes the viewpoint that stochastic systems are well-defined maps between sample paths rather than stochastic processes per se and allows us to extend the separation principle to systems driven by martingales"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.3005","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1103.3005","created_at":"2026-05-18T02:26:39.696077+00:00"},{"alias_kind":"arxiv_version","alias_value":"1103.3005v3","created_at":"2026-05-18T02:26:39.696077+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.3005","created_at":"2026-05-18T02:26:39.696077+00:00"},{"alias_kind":"pith_short_12","alias_value":"TCASL2XMMK6O","created_at":"2026-05-18T12:26:42.757692+00:00"},{"alias_kind":"pith_short_16","alias_value":"TCASL2XMMK6OI4O5","created_at":"2026-05-18T12:26:42.757692+00:00"},{"alias_kind":"pith_short_8","alias_value":"TCASL2XM","created_at":"2026-05-18T12:26:42.757692+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/TCASL2XMMK6OI4O5E74BAJGWRZ","json":"https://pith.science/pith/TCASL2XMMK6OI4O5E74BAJGWRZ.json","graph_json":"https://pith.science/api/pith-number/TCASL2XMMK6OI4O5E74BAJGWRZ/graph.json","events_json":"https://pith.science/api/pith-number/TCASL2XMMK6OI4O5E74BAJGWRZ/events.json","paper":"https://pith.science/paper/TCASL2XM"},"agent_actions":{"view_html":"https://pith.science/pith/TCASL2XMMK6OI4O5E74BAJGWRZ","download_json":"https://pith.science/pith/TCASL2XMMK6OI4O5E74BAJGWRZ.json","view_paper":"https://pith.science/paper/TCASL2XM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1103.3005&json=true","fetch_graph":"https://pith.science/api/pith-number/TCASL2XMMK6OI4O5E74BAJGWRZ/graph.json","fetch_events":"https://pith.science/api/pith-number/TCASL2XMMK6OI4O5E74BAJGWRZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TCASL2XMMK6OI4O5E74BAJGWRZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TCASL2XMMK6OI4O5E74BAJGWRZ/action/storage_attestation","attest_author":"https://pith.science/pith/TCASL2XMMK6OI4O5E74BAJGWRZ/action/author_attestation","sign_citation":"https://pith.science/pith/TCASL2XMMK6OI4O5E74BAJGWRZ/action/citation_signature","submit_replication":"https://pith.science/pith/TCASL2XMMK6OI4O5E74BAJGWRZ/action/replication_record"}},"created_at":"2026-05-18T02:26:39.696077+00:00","updated_at":"2026-05-18T02:26:39.696077+00:00"}