{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:AEBTVIXH5TPZ2IVRQ3HLBVQXQ4","short_pith_number":"pith:AEBTVIXH","schema_version":"1.0","canonical_sha256":"01033aa2e7ecdf9d22b186ceb0d61787305c3131b6269223ab3b9b44bf625c9b","source":{"kind":"arxiv","id":"1503.08044","version":1},"attestation_state":"computed","paper":{"title":"Cyclic Vectors of Associative Matrix Algebras and Reachability Criteria for Linear and Nonlinear Control Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Andrey Sarychev, Yuliy Baryshnikov","submitted_at":"2015-03-27T12:21:36Z","abstract_excerpt":"Motivated by the controllability/reachability problems for switched linear control systems and some classes of nonlinear (mechanical) control systems we address a related problem of existence of a cyclic vector for an associative (matrix) algebra. We provide a sufficient criterion for existence of cyclic vector and draw conclusions for controllability."},"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":"1503.08044","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-03-27T12:21:36Z","cross_cats_sorted":[],"title_canon_sha256":"688f72e778c0c8b8faa0a613f823172367b5eeb8683e5a6f74e414b5d7292b1c","abstract_canon_sha256":"daac4694035a4bcf9afbd14047ff345d50d4541cee0f4ea034922820ce5cbfe6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:20:11.653483Z","signature_b64":"fijAvss9+G5MVXsHtUj4lD+z9VyLn1awSdn/4Tz1lWyyxuI/Jq0mG8lFdvzo15+j2eg4T4kVmdndxL8AR9OVBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"01033aa2e7ecdf9d22b186ceb0d61787305c3131b6269223ab3b9b44bf625c9b","last_reissued_at":"2026-05-18T02:20:11.652919Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:20:11.652919Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Cyclic Vectors of Associative Matrix Algebras and Reachability Criteria for Linear and Nonlinear Control Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Andrey Sarychev, Yuliy Baryshnikov","submitted_at":"2015-03-27T12:21:36Z","abstract_excerpt":"Motivated by the controllability/reachability problems for switched linear control systems and some classes of nonlinear (mechanical) control systems we address a related problem of existence of a cyclic vector for an associative (matrix) algebra. We provide a sufficient criterion for existence of cyclic vector and draw conclusions for controllability."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.08044","kind":"arxiv","version":1},"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":"1503.08044","created_at":"2026-05-18T02:20:11.653012+00:00"},{"alias_kind":"arxiv_version","alias_value":"1503.08044v1","created_at":"2026-05-18T02:20:11.653012+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.08044","created_at":"2026-05-18T02:20:11.653012+00:00"},{"alias_kind":"pith_short_12","alias_value":"AEBTVIXH5TPZ","created_at":"2026-05-18T12:29:10.953037+00:00"},{"alias_kind":"pith_short_16","alias_value":"AEBTVIXH5TPZ2IVR","created_at":"2026-05-18T12:29:10.953037+00:00"},{"alias_kind":"pith_short_8","alias_value":"AEBTVIXH","created_at":"2026-05-18T12:29:10.953037+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/AEBTVIXH5TPZ2IVRQ3HLBVQXQ4","json":"https://pith.science/pith/AEBTVIXH5TPZ2IVRQ3HLBVQXQ4.json","graph_json":"https://pith.science/api/pith-number/AEBTVIXH5TPZ2IVRQ3HLBVQXQ4/graph.json","events_json":"https://pith.science/api/pith-number/AEBTVIXH5TPZ2IVRQ3HLBVQXQ4/events.json","paper":"https://pith.science/paper/AEBTVIXH"},"agent_actions":{"view_html":"https://pith.science/pith/AEBTVIXH5TPZ2IVRQ3HLBVQXQ4","download_json":"https://pith.science/pith/AEBTVIXH5TPZ2IVRQ3HLBVQXQ4.json","view_paper":"https://pith.science/paper/AEBTVIXH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1503.08044&json=true","fetch_graph":"https://pith.science/api/pith-number/AEBTVIXH5TPZ2IVRQ3HLBVQXQ4/graph.json","fetch_events":"https://pith.science/api/pith-number/AEBTVIXH5TPZ2IVRQ3HLBVQXQ4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AEBTVIXH5TPZ2IVRQ3HLBVQXQ4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AEBTVIXH5TPZ2IVRQ3HLBVQXQ4/action/storage_attestation","attest_author":"https://pith.science/pith/AEBTVIXH5TPZ2IVRQ3HLBVQXQ4/action/author_attestation","sign_citation":"https://pith.science/pith/AEBTVIXH5TPZ2IVRQ3HLBVQXQ4/action/citation_signature","submit_replication":"https://pith.science/pith/AEBTVIXH5TPZ2IVRQ3HLBVQXQ4/action/replication_record"}},"created_at":"2026-05-18T02:20:11.653012+00:00","updated_at":"2026-05-18T02:20:11.653012+00:00"}