{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:HC7T7MBOPLBFF4C75GK34HFBXR","short_pith_number":"pith:HC7T7MBO","schema_version":"1.0","canonical_sha256":"38bf3fb02e7ac252f05fe995be1ca1bc6063e4fc88945dc119d755ed608b37c7","source":{"kind":"arxiv","id":"1603.01904","version":1},"attestation_state":"computed","paper":{"title":"Continuum-wise expansiveness for generic diffeomorphisms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Manseob Lee","submitted_at":"2016-03-07T00:50:13Z","abstract_excerpt":"Let $M$ be a closed smooth manifold and let $f:M\\to M$ be a diffeomorphism. $C^1$-generically, a continuum-wise expansive satisfies Axiom A without cycles. Moreover, there is a partially hyperbolic diffeomorphism $f$ such that it is not continuum-wise expansive."},"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":"1603.01904","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-03-07T00:50:13Z","cross_cats_sorted":[],"title_canon_sha256":"522dbce4b45cbe3ce9d9dd8b306e140da512bc6d657f357c99e54b51e0dbfa10","abstract_canon_sha256":"e1a3db2dcb7e190970217a2c37e2ad71fa8d33cca92410de3d7d5e31cdf89ce9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:19:33.435986Z","signature_b64":"Ee3r4uldhUUhnNjy9rux/eAGvfGI/Kv1/aIDSDaD0UFbR1MvrTIpP9n4BqCo7Cw7CM2Dtupbu/wGN4OgJGXjDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"38bf3fb02e7ac252f05fe995be1ca1bc6063e4fc88945dc119d755ed608b37c7","last_reissued_at":"2026-05-18T01:19:33.435220Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:19:33.435220Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Continuum-wise expansiveness for generic diffeomorphisms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Manseob Lee","submitted_at":"2016-03-07T00:50:13Z","abstract_excerpt":"Let $M$ be a closed smooth manifold and let $f:M\\to M$ be a diffeomorphism. $C^1$-generically, a continuum-wise expansive satisfies Axiom A without cycles. Moreover, there is a partially hyperbolic diffeomorphism $f$ such that it is not continuum-wise expansive."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.01904","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":"1603.01904","created_at":"2026-05-18T01:19:33.435343+00:00"},{"alias_kind":"arxiv_version","alias_value":"1603.01904v1","created_at":"2026-05-18T01:19:33.435343+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.01904","created_at":"2026-05-18T01:19:33.435343+00:00"},{"alias_kind":"pith_short_12","alias_value":"HC7T7MBOPLBF","created_at":"2026-05-18T12:30:19.053100+00:00"},{"alias_kind":"pith_short_16","alias_value":"HC7T7MBOPLBFF4C7","created_at":"2026-05-18T12:30:19.053100+00:00"},{"alias_kind":"pith_short_8","alias_value":"HC7T7MBO","created_at":"2026-05-18T12:30:19.053100+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/HC7T7MBOPLBFF4C75GK34HFBXR","json":"https://pith.science/pith/HC7T7MBOPLBFF4C75GK34HFBXR.json","graph_json":"https://pith.science/api/pith-number/HC7T7MBOPLBFF4C75GK34HFBXR/graph.json","events_json":"https://pith.science/api/pith-number/HC7T7MBOPLBFF4C75GK34HFBXR/events.json","paper":"https://pith.science/paper/HC7T7MBO"},"agent_actions":{"view_html":"https://pith.science/pith/HC7T7MBOPLBFF4C75GK34HFBXR","download_json":"https://pith.science/pith/HC7T7MBOPLBFF4C75GK34HFBXR.json","view_paper":"https://pith.science/paper/HC7T7MBO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1603.01904&json=true","fetch_graph":"https://pith.science/api/pith-number/HC7T7MBOPLBFF4C75GK34HFBXR/graph.json","fetch_events":"https://pith.science/api/pith-number/HC7T7MBOPLBFF4C75GK34HFBXR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HC7T7MBOPLBFF4C75GK34HFBXR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HC7T7MBOPLBFF4C75GK34HFBXR/action/storage_attestation","attest_author":"https://pith.science/pith/HC7T7MBOPLBFF4C75GK34HFBXR/action/author_attestation","sign_citation":"https://pith.science/pith/HC7T7MBOPLBFF4C75GK34HFBXR/action/citation_signature","submit_replication":"https://pith.science/pith/HC7T7MBOPLBFF4C75GK34HFBXR/action/replication_record"}},"created_at":"2026-05-18T01:19:33.435343+00:00","updated_at":"2026-05-18T01:19:33.435343+00:00"}