{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:3D5F54QD3O5PAJZXMWHH4OOUBP","short_pith_number":"pith:3D5F54QD","schema_version":"1.0","canonical_sha256":"d8fa5ef203dbbaf02737658e7e39d40bf11d22b94b11820cc753e3f5b0d9f3d8","source":{"kind":"arxiv","id":"1105.5174","version":3},"attestation_state":"computed","paper":{"title":"Symmetry Reduction of Optimal Control Systems and Principal Connections","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY","math.SG"],"primary_cat":"math.OC","authors_text":"Tomoki Ohsawa","submitted_at":"2011-05-26T00:00:33Z","abstract_excerpt":"This paper explores the role of symmetries and reduction in nonlinear control and optimal control systems. The focus of the paper is to give a geometric framework of symmetry reduction of optimal control systems as well as to show how to obtain explicit expressions of the reduced system by exploiting the geometry. In particular, we show how to obtain a principal connection to be used in the reduction for various choices of symmetry groups, as opposed to assuming such a principal connection is given or choosing a particular symmetry group to simplify the setting. Our result synthesizes some pre"},"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":"1105.5174","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2011-05-26T00:00:33Z","cross_cats_sorted":["cs.SY","math.SG"],"title_canon_sha256":"5583cd9426a702405ef9551c6cada43e6a9c558738d4ce1703669aa56d13101a","abstract_canon_sha256":"d6cbbba9fe038abc152b537874d3fe6b31bf1f33a19ab3d116455ddab74cadb9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:27:19.250007Z","signature_b64":"Pb0dW0Ry95KOCovAhl6IJcUrwH1l5yrks2fHHEV3JReH81L8kWPZIk/BezaK8X41QPsW5Jxvba+68Et/rFj+AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d8fa5ef203dbbaf02737658e7e39d40bf11d22b94b11820cc753e3f5b0d9f3d8","last_reissued_at":"2026-05-18T02:27:19.249362Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:27:19.249362Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Symmetry Reduction of Optimal Control Systems and Principal Connections","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY","math.SG"],"primary_cat":"math.OC","authors_text":"Tomoki Ohsawa","submitted_at":"2011-05-26T00:00:33Z","abstract_excerpt":"This paper explores the role of symmetries and reduction in nonlinear control and optimal control systems. The focus of the paper is to give a geometric framework of symmetry reduction of optimal control systems as well as to show how to obtain explicit expressions of the reduced system by exploiting the geometry. In particular, we show how to obtain a principal connection to be used in the reduction for various choices of symmetry groups, as opposed to assuming such a principal connection is given or choosing a particular symmetry group to simplify the setting. Our result synthesizes some pre"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.5174","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":"1105.5174","created_at":"2026-05-18T02:27:19.249458+00:00"},{"alias_kind":"arxiv_version","alias_value":"1105.5174v3","created_at":"2026-05-18T02:27:19.249458+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.5174","created_at":"2026-05-18T02:27:19.249458+00:00"},{"alias_kind":"pith_short_12","alias_value":"3D5F54QD3O5P","created_at":"2026-05-18T12:26:18.847500+00:00"},{"alias_kind":"pith_short_16","alias_value":"3D5F54QD3O5PAJZX","created_at":"2026-05-18T12:26:18.847500+00:00"},{"alias_kind":"pith_short_8","alias_value":"3D5F54QD","created_at":"2026-05-18T12:26:18.847500+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/3D5F54QD3O5PAJZXMWHH4OOUBP","json":"https://pith.science/pith/3D5F54QD3O5PAJZXMWHH4OOUBP.json","graph_json":"https://pith.science/api/pith-number/3D5F54QD3O5PAJZXMWHH4OOUBP/graph.json","events_json":"https://pith.science/api/pith-number/3D5F54QD3O5PAJZXMWHH4OOUBP/events.json","paper":"https://pith.science/paper/3D5F54QD"},"agent_actions":{"view_html":"https://pith.science/pith/3D5F54QD3O5PAJZXMWHH4OOUBP","download_json":"https://pith.science/pith/3D5F54QD3O5PAJZXMWHH4OOUBP.json","view_paper":"https://pith.science/paper/3D5F54QD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1105.5174&json=true","fetch_graph":"https://pith.science/api/pith-number/3D5F54QD3O5PAJZXMWHH4OOUBP/graph.json","fetch_events":"https://pith.science/api/pith-number/3D5F54QD3O5PAJZXMWHH4OOUBP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3D5F54QD3O5PAJZXMWHH4OOUBP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3D5F54QD3O5PAJZXMWHH4OOUBP/action/storage_attestation","attest_author":"https://pith.science/pith/3D5F54QD3O5PAJZXMWHH4OOUBP/action/author_attestation","sign_citation":"https://pith.science/pith/3D5F54QD3O5PAJZXMWHH4OOUBP/action/citation_signature","submit_replication":"https://pith.science/pith/3D5F54QD3O5PAJZXMWHH4OOUBP/action/replication_record"}},"created_at":"2026-05-18T02:27:19.249458+00:00","updated_at":"2026-05-18T02:27:19.249458+00:00"}