{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:T3RFWLKFVPTX57J65P6F5EU372","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":"20597ee13c0fc2647d06a297be3175c96321cc7a3749d7f284a6883b97c13b34","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-05-24T21:42:34Z","title_canon_sha256":"8a206eecde09594692d1e8a18493328b091c1fa785f859f4c69a695c65823723"},"schema_version":"1.0","source":{"id":"1205.5581","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.5581","created_at":"2026-05-18T03:18:08Z"},{"alias_kind":"arxiv_version","alias_value":"1205.5581v2","created_at":"2026-05-18T03:18:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.5581","created_at":"2026-05-18T03:18:08Z"},{"alias_kind":"pith_short_12","alias_value":"T3RFWLKFVPTX","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"T3RFWLKFVPTX57J6","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"T3RFWLKF","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:d70132b439e5887ee3e3958b8724f8d4f2ef06162bc6276ebe2fa733459f1fa1","target":"graph","created_at":"2026-05-18T03:18:08Z","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":"Given a control system $\\dot{p} = X_0(p) + \\sum_i u_i (t)X_i(p)$ on a compact manifold M we study conditions for the foliation defined by the accessible sets be dense in M . To do this we relate the control system to a stochastic differential equation and, using the support theorem, we give a characterization of the density in terms of the infinitesimal generator of the diffusion and its invariant measures. Also we give a different proof of Krener's theorem.","authors_text":"Diego S. Ledesma","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-05-24T21:42:34Z","title":"Conditions to the density of accessible sets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.5581","kind":"arxiv","version":2},"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":"sha256:054df56786132511cf6a5aed0b2d8e4c0df853d71317c1b771c5854ea502f184","target":"record","created_at":"2026-05-18T03:18:08Z","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":"20597ee13c0fc2647d06a297be3175c96321cc7a3749d7f284a6883b97c13b34","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-05-24T21:42:34Z","title_canon_sha256":"8a206eecde09594692d1e8a18493328b091c1fa785f859f4c69a695c65823723"},"schema_version":"1.0","source":{"id":"1205.5581","kind":"arxiv","version":2}},"canonical_sha256":"9ee25b2d45abe77efd3eebfc5e929bfeafad35210c28f947781ee527dc8da4a5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9ee25b2d45abe77efd3eebfc5e929bfeafad35210c28f947781ee527dc8da4a5","first_computed_at":"2026-05-18T03:18:08.328555Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:18:08.328555Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sfgcEmUsnB3AS/k70g32IfQcbuoUamn7UvQvyEdaDNmY/jmdSztPJnDCGhEk/p7N1NExDBJmEw7abCW2sWdIDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:18:08.329067Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.5581","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:054df56786132511cf6a5aed0b2d8e4c0df853d71317c1b771c5854ea502f184","sha256:d70132b439e5887ee3e3958b8724f8d4f2ef06162bc6276ebe2fa733459f1fa1"],"state_sha256":"94f63d2e9d0de808e91045a69175135366055edbb1f24444efde6dd0e749cae3"}