{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2006:TWK5DONH2JKI2SRRNEML4NX47M","short_pith_number":"pith:TWK5DONH","schema_version":"1.0","canonical_sha256":"9d95d1b9a7d2548d4a316918be36fcfb3bd4438834d2fcd72b13738019ed0932","source":{"kind":"arxiv","id":"math/0610558","version":1},"attestation_state":"computed","paper":{"title":"Removing zero Lyapunov exponents in volume-preserving flows","license":"","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Jorge Rocha, Mario Bessa","submitted_at":"2006-10-18T14:58:02Z","abstract_excerpt":"Baraviera and Bonatti proved that it is possible to perturb, in the c^1 topology, a volume-preserving and partial hyperbolic diffeomorphism in order to obtain a non-zero sum of all the Lyapunov exponents in the central direction. In this article we obtain the analogous result for volume-preserving 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":"math/0610558","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.DS","submitted_at":"2006-10-18T14:58:02Z","cross_cats_sorted":[],"title_canon_sha256":"68fad37ca03a2bd74a34a0be5ffc0f253d50a0325634410e451d072bb79c1b6c","abstract_canon_sha256":"1c712af6a8b597b2ff69c19334c49b493eeaa033af413ee3b83b219c1be3a45d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:23.658181Z","signature_b64":"+BsAJLIw4cqq/cBd+yDgSxKwvIdAxuT41+1x9vd7va5GJ7qaT8RlquTrUV+9hRXJE7YSIaGWJTO0pEyPlXMPDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9d95d1b9a7d2548d4a316918be36fcfb3bd4438834d2fcd72b13738019ed0932","last_reissued_at":"2026-05-18T01:38:23.657590Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:23.657590Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Removing zero Lyapunov exponents in volume-preserving flows","license":"","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Jorge Rocha, Mario Bessa","submitted_at":"2006-10-18T14:58:02Z","abstract_excerpt":"Baraviera and Bonatti proved that it is possible to perturb, in the c^1 topology, a volume-preserving and partial hyperbolic diffeomorphism in order to obtain a non-zero sum of all the Lyapunov exponents in the central direction. In this article we obtain the analogous result for volume-preserving flows."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0610558","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":"math/0610558","created_at":"2026-05-18T01:38:23.657671+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0610558v1","created_at":"2026-05-18T01:38:23.657671+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0610558","created_at":"2026-05-18T01:38:23.657671+00:00"},{"alias_kind":"pith_short_12","alias_value":"TWK5DONH2JKI","created_at":"2026-05-18T12:25:54.717736+00:00"},{"alias_kind":"pith_short_16","alias_value":"TWK5DONH2JKI2SRR","created_at":"2026-05-18T12:25:54.717736+00:00"},{"alias_kind":"pith_short_8","alias_value":"TWK5DONH","created_at":"2026-05-18T12:25:54.717736+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/TWK5DONH2JKI2SRRNEML4NX47M","json":"https://pith.science/pith/TWK5DONH2JKI2SRRNEML4NX47M.json","graph_json":"https://pith.science/api/pith-number/TWK5DONH2JKI2SRRNEML4NX47M/graph.json","events_json":"https://pith.science/api/pith-number/TWK5DONH2JKI2SRRNEML4NX47M/events.json","paper":"https://pith.science/paper/TWK5DONH"},"agent_actions":{"view_html":"https://pith.science/pith/TWK5DONH2JKI2SRRNEML4NX47M","download_json":"https://pith.science/pith/TWK5DONH2JKI2SRRNEML4NX47M.json","view_paper":"https://pith.science/paper/TWK5DONH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0610558&json=true","fetch_graph":"https://pith.science/api/pith-number/TWK5DONH2JKI2SRRNEML4NX47M/graph.json","fetch_events":"https://pith.science/api/pith-number/TWK5DONH2JKI2SRRNEML4NX47M/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TWK5DONH2JKI2SRRNEML4NX47M/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TWK5DONH2JKI2SRRNEML4NX47M/action/storage_attestation","attest_author":"https://pith.science/pith/TWK5DONH2JKI2SRRNEML4NX47M/action/author_attestation","sign_citation":"https://pith.science/pith/TWK5DONH2JKI2SRRNEML4NX47M/action/citation_signature","submit_replication":"https://pith.science/pith/TWK5DONH2JKI2SRRNEML4NX47M/action/replication_record"}},"created_at":"2026-05-18T01:38:23.657671+00:00","updated_at":"2026-05-18T01:38:23.657671+00:00"}