{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:6QBVUQL5KZSPG37344VOP4MLOX","short_pith_number":"pith:6QBVUQL5","schema_version":"1.0","canonical_sha256":"f4035a417d5664f36ffbe72ae7f18b75c37b9011d3759be74ee54e13b42b38bb","source":{"kind":"arxiv","id":"1203.3655","version":2},"attestation_state":"computed","paper":{"title":"Riemannian optimal control","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.OC","authors_text":"Andreea Bejenaru, Constantin Udriste","submitted_at":"2012-03-16T10:11:32Z","abstract_excerpt":"The aim of this paper is to adapt the general multitime maximum principle to a Riemannian setting. More precisely, we intend to study geometric optimal control problems constrained by the metric compatibility evolution PDE system; the evolution (\"multitime\") variables are the local coordinates on a Riemannian manifold, the state variable is a Riemannian structure and the control is a linear connection compatible to the Riemannian metric. We apply the obtained results in order to solve two flow-type optimal control problems on Riemannian setting: firstly, we maximize the total divergence of a f"},"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":"1203.3655","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-03-16T10:11:32Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"8d37632a348506a8810227a0afca4857b82da139c02c1cfeedc4b5f12cd3dbc7","abstract_canon_sha256":"a18e956e60443247c71434b5b95057c933a08f1622ecf28976c446b5edaee326"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:42:46.118419Z","signature_b64":"0cElmzRHdKsJCj99l1wBvLNC8Ag7d0+nr86vkHrmesXxQEv87NiKLsgH47gtWvUP3sJGdQOdp5/4fd2jJwDKAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f4035a417d5664f36ffbe72ae7f18b75c37b9011d3759be74ee54e13b42b38bb","last_reissued_at":"2026-05-18T03:42:46.117759Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:42:46.117759Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Riemannian optimal control","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.OC","authors_text":"Andreea Bejenaru, Constantin Udriste","submitted_at":"2012-03-16T10:11:32Z","abstract_excerpt":"The aim of this paper is to adapt the general multitime maximum principle to a Riemannian setting. More precisely, we intend to study geometric optimal control problems constrained by the metric compatibility evolution PDE system; the evolution (\"multitime\") variables are the local coordinates on a Riemannian manifold, the state variable is a Riemannian structure and the control is a linear connection compatible to the Riemannian metric. We apply the obtained results in order to solve two flow-type optimal control problems on Riemannian setting: firstly, we maximize the total divergence of a f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.3655","kind":"arxiv","version":2},"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":"1203.3655","created_at":"2026-05-18T03:42:46.117856+00:00"},{"alias_kind":"arxiv_version","alias_value":"1203.3655v2","created_at":"2026-05-18T03:42:46.117856+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.3655","created_at":"2026-05-18T03:42:46.117856+00:00"},{"alias_kind":"pith_short_12","alias_value":"6QBVUQL5KZSP","created_at":"2026-05-18T12:26:56.085431+00:00"},{"alias_kind":"pith_short_16","alias_value":"6QBVUQL5KZSPG373","created_at":"2026-05-18T12:26:56.085431+00:00"},{"alias_kind":"pith_short_8","alias_value":"6QBVUQL5","created_at":"2026-05-18T12:26:56.085431+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/6QBVUQL5KZSPG37344VOP4MLOX","json":"https://pith.science/pith/6QBVUQL5KZSPG37344VOP4MLOX.json","graph_json":"https://pith.science/api/pith-number/6QBVUQL5KZSPG37344VOP4MLOX/graph.json","events_json":"https://pith.science/api/pith-number/6QBVUQL5KZSPG37344VOP4MLOX/events.json","paper":"https://pith.science/paper/6QBVUQL5"},"agent_actions":{"view_html":"https://pith.science/pith/6QBVUQL5KZSPG37344VOP4MLOX","download_json":"https://pith.science/pith/6QBVUQL5KZSPG37344VOP4MLOX.json","view_paper":"https://pith.science/paper/6QBVUQL5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1203.3655&json=true","fetch_graph":"https://pith.science/api/pith-number/6QBVUQL5KZSPG37344VOP4MLOX/graph.json","fetch_events":"https://pith.science/api/pith-number/6QBVUQL5KZSPG37344VOP4MLOX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6QBVUQL5KZSPG37344VOP4MLOX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6QBVUQL5KZSPG37344VOP4MLOX/action/storage_attestation","attest_author":"https://pith.science/pith/6QBVUQL5KZSPG37344VOP4MLOX/action/author_attestation","sign_citation":"https://pith.science/pith/6QBVUQL5KZSPG37344VOP4MLOX/action/citation_signature","submit_replication":"https://pith.science/pith/6QBVUQL5KZSPG37344VOP4MLOX/action/replication_record"}},"created_at":"2026-05-18T03:42:46.117856+00:00","updated_at":"2026-05-18T03:42:46.117856+00:00"}