{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:3PXYQR27F3CFBUO7XOT5JJUBKZ","short_pith_number":"pith:3PXYQR27","schema_version":"1.0","canonical_sha256":"dbef88475f2ec450d1dfbba7d4a681567b81a795d231447effd2056619057350","source":{"kind":"arxiv","id":"1801.04904","version":3},"attestation_state":"computed","paper":{"title":"On classification of higher rank Anosov actions on compact manifold","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Danijela Damjanovic, Disheng Xu","submitted_at":"2018-01-15T18:37:35Z","abstract_excerpt":"We prove global smooth classification results for TNS totally Anosov Z^k actions on general compact manifolds, under each one of the following conditions: joint integrability, resonance-free or Lyapunov pinching condition. Unlike the previous results, we do not require any uniform quasiconformality or pinching condition of action elements on coarse Lyapunov distributions, nor do we have any restriction on the dimension of coarse Lyapunov distributions. The main novelty is in proving a new standard form of the derivative cocycle for any TNS totally Anosov Z^k action on general manifold. A main "},"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":"1801.04904","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-01-15T18:37:35Z","cross_cats_sorted":[],"title_canon_sha256":"ec6592c2e05907ead59e19e10e8ad886435d897052e4b65b171264328ef251f1","abstract_canon_sha256":"00146d96a01898d8e27dfe2464712bdc9110a71d0c68c87c2ba0a2b87beabb9a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:12:32.373413Z","signature_b64":"hNlE2wi0xOLvga8pKA9aNmZtHofJkmOJu2S9xoWZVv9DWDSkHM3SG/SyEOCJUEQ8aPoynWLXKFC7D4X88EcnAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dbef88475f2ec450d1dfbba7d4a681567b81a795d231447effd2056619057350","last_reissued_at":"2026-05-18T00:12:32.372739Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:12:32.372739Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On classification of higher rank Anosov actions on compact manifold","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Danijela Damjanovic, Disheng Xu","submitted_at":"2018-01-15T18:37:35Z","abstract_excerpt":"We prove global smooth classification results for TNS totally Anosov Z^k actions on general compact manifolds, under each one of the following conditions: joint integrability, resonance-free or Lyapunov pinching condition. Unlike the previous results, we do not require any uniform quasiconformality or pinching condition of action elements on coarse Lyapunov distributions, nor do we have any restriction on the dimension of coarse Lyapunov distributions. The main novelty is in proving a new standard form of the derivative cocycle for any TNS totally Anosov Z^k action on general manifold. A main "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.04904","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":"1801.04904","created_at":"2026-05-18T00:12:32.372842+00:00"},{"alias_kind":"arxiv_version","alias_value":"1801.04904v3","created_at":"2026-05-18T00:12:32.372842+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.04904","created_at":"2026-05-18T00:12:32.372842+00:00"},{"alias_kind":"pith_short_12","alias_value":"3PXYQR27F3CF","created_at":"2026-05-18T12:32:02.567920+00:00"},{"alias_kind":"pith_short_16","alias_value":"3PXYQR27F3CFBUO7","created_at":"2026-05-18T12:32:02.567920+00:00"},{"alias_kind":"pith_short_8","alias_value":"3PXYQR27","created_at":"2026-05-18T12:32:02.567920+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/3PXYQR27F3CFBUO7XOT5JJUBKZ","json":"https://pith.science/pith/3PXYQR27F3CFBUO7XOT5JJUBKZ.json","graph_json":"https://pith.science/api/pith-number/3PXYQR27F3CFBUO7XOT5JJUBKZ/graph.json","events_json":"https://pith.science/api/pith-number/3PXYQR27F3CFBUO7XOT5JJUBKZ/events.json","paper":"https://pith.science/paper/3PXYQR27"},"agent_actions":{"view_html":"https://pith.science/pith/3PXYQR27F3CFBUO7XOT5JJUBKZ","download_json":"https://pith.science/pith/3PXYQR27F3CFBUO7XOT5JJUBKZ.json","view_paper":"https://pith.science/paper/3PXYQR27","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1801.04904&json=true","fetch_graph":"https://pith.science/api/pith-number/3PXYQR27F3CFBUO7XOT5JJUBKZ/graph.json","fetch_events":"https://pith.science/api/pith-number/3PXYQR27F3CFBUO7XOT5JJUBKZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3PXYQR27F3CFBUO7XOT5JJUBKZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3PXYQR27F3CFBUO7XOT5JJUBKZ/action/storage_attestation","attest_author":"https://pith.science/pith/3PXYQR27F3CFBUO7XOT5JJUBKZ/action/author_attestation","sign_citation":"https://pith.science/pith/3PXYQR27F3CFBUO7XOT5JJUBKZ/action/citation_signature","submit_replication":"https://pith.science/pith/3PXYQR27F3CFBUO7XOT5JJUBKZ/action/replication_record"}},"created_at":"2026-05-18T00:12:32.372842+00:00","updated_at":"2026-05-18T00:12:32.372842+00:00"}