{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2008:6ZTUTNUWC76I5GFBR6VJDXR6D5","short_pith_number":"pith:6ZTUTNUW","schema_version":"1.0","canonical_sha256":"f66749b69617fc8e98a18faa91de3e1f486c3dde541c8b51e058bf5c59875000","source":{"kind":"arxiv","id":"0807.2367","version":2},"attestation_state":"computed","paper":{"title":"Transitivity of codimension one Anosov actions of R^k on closed manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Carlos Maquera, Thierry Barbot (UMPA-ENSL)","submitted_at":"2008-07-15T13:20:09Z","abstract_excerpt":"In this paper, we define codimension one Anosov actions of $\\RR^k, k\\geq 2,$ on a closed connected orientable manifold $M$. We prove that if the ambient manifold has dimension greater than $k+2$, then the action is topologically transitive. This generalizes a result of Verjovsky for codimension one Anosov flows."},"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":"0807.2367","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2008-07-15T13:20:09Z","cross_cats_sorted":[],"title_canon_sha256":"4c78fa03c6b45c513133c7143d1bbc207192fde3e0aa174810137e5ddb9047b8","abstract_canon_sha256":"a52ce1573f29f5b0fb11e98c7cad308bf67d10bf6f957d7ba0fe7ed8606a3f93"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:36:16.491135Z","signature_b64":"BGiJmgj8Rx2NZX6iNU3yyhm9QL5frLJpfnCNRkrL93Terk4zpO+tGFpDN/0ALX71wqNZ4lQDBeLytc9NskJcCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f66749b69617fc8e98a18faa91de3e1f486c3dde541c8b51e058bf5c59875000","last_reissued_at":"2026-05-18T03:36:16.490377Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:36:16.490377Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Transitivity of codimension one Anosov actions of R^k on closed manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Carlos Maquera, Thierry Barbot (UMPA-ENSL)","submitted_at":"2008-07-15T13:20:09Z","abstract_excerpt":"In this paper, we define codimension one Anosov actions of $\\RR^k, k\\geq 2,$ on a closed connected orientable manifold $M$. We prove that if the ambient manifold has dimension greater than $k+2$, then the action is topologically transitive. This generalizes a result of Verjovsky for codimension one Anosov flows."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0807.2367","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":"0807.2367","created_at":"2026-05-18T03:36:16.490501+00:00"},{"alias_kind":"arxiv_version","alias_value":"0807.2367v2","created_at":"2026-05-18T03:36:16.490501+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0807.2367","created_at":"2026-05-18T03:36:16.490501+00:00"},{"alias_kind":"pith_short_12","alias_value":"6ZTUTNUWC76I","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_16","alias_value":"6ZTUTNUWC76I5GFB","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_8","alias_value":"6ZTUTNUW","created_at":"2026-05-18T12:25:56.245647+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/6ZTUTNUWC76I5GFBR6VJDXR6D5","json":"https://pith.science/pith/6ZTUTNUWC76I5GFBR6VJDXR6D5.json","graph_json":"https://pith.science/api/pith-number/6ZTUTNUWC76I5GFBR6VJDXR6D5/graph.json","events_json":"https://pith.science/api/pith-number/6ZTUTNUWC76I5GFBR6VJDXR6D5/events.json","paper":"https://pith.science/paper/6ZTUTNUW"},"agent_actions":{"view_html":"https://pith.science/pith/6ZTUTNUWC76I5GFBR6VJDXR6D5","download_json":"https://pith.science/pith/6ZTUTNUWC76I5GFBR6VJDXR6D5.json","view_paper":"https://pith.science/paper/6ZTUTNUW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0807.2367&json=true","fetch_graph":"https://pith.science/api/pith-number/6ZTUTNUWC76I5GFBR6VJDXR6D5/graph.json","fetch_events":"https://pith.science/api/pith-number/6ZTUTNUWC76I5GFBR6VJDXR6D5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6ZTUTNUWC76I5GFBR6VJDXR6D5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6ZTUTNUWC76I5GFBR6VJDXR6D5/action/storage_attestation","attest_author":"https://pith.science/pith/6ZTUTNUWC76I5GFBR6VJDXR6D5/action/author_attestation","sign_citation":"https://pith.science/pith/6ZTUTNUWC76I5GFBR6VJDXR6D5/action/citation_signature","submit_replication":"https://pith.science/pith/6ZTUTNUWC76I5GFBR6VJDXR6D5/action/replication_record"}},"created_at":"2026-05-18T03:36:16.490501+00:00","updated_at":"2026-05-18T03:36:16.490501+00:00"}