{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:2KPJQWR7ZURG2YY6NNLX3F44WG","short_pith_number":"pith:2KPJQWR7","schema_version":"1.0","canonical_sha256":"d29e985a3fcd226d631e6b577d979cb1b805633c077724baa48164e346b3f1ca","source":{"kind":"arxiv","id":"1701.05282","version":1},"attestation_state":"computed","paper":{"title":"A robustly transitive diffeomorphism of Kan's type","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Cheng cheng, Shaobo Gan, Yi Shi","submitted_at":"2017-01-19T02:10:49Z","abstract_excerpt":"We construct a family of partially hyperbolic skew-product diffeomorphisms on $\\mathbb{T}^3$ that are robustly transitive and admitting two physical measures with intermingled basins. In particularly, all these diffeomorphisms are not topologically mixing. Moreover, for every such example, it exhibits a dichotomy under perturbation: every perturbation of such example either has a unique physical measure and is robustly topologically mixing, or has two physical measures with intermingled basins."},"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":"1701.05282","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-01-19T02:10:49Z","cross_cats_sorted":[],"title_canon_sha256":"9f10d935711cdc977fde076b32986c711ed3595c3a1ca2d35888e054dbed20ca","abstract_canon_sha256":"b69a9217d8534bea7284b44b06382c451a575515d122c94769a23b87cfa2f9e8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:52:30.348722Z","signature_b64":"Xl6CaDUymVjloeWlYiQPLXOUEONLX3nb/6ZakUQNmlV6+mFVw2QWFnftuWllDUD6EoyzSZ5ntzqrzKMqT0+uCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d29e985a3fcd226d631e6b577d979cb1b805633c077724baa48164e346b3f1ca","last_reissued_at":"2026-05-18T00:52:30.348290Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:52:30.348290Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A robustly transitive diffeomorphism of Kan's type","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Cheng cheng, Shaobo Gan, Yi Shi","submitted_at":"2017-01-19T02:10:49Z","abstract_excerpt":"We construct a family of partially hyperbolic skew-product diffeomorphisms on $\\mathbb{T}^3$ that are robustly transitive and admitting two physical measures with intermingled basins. In particularly, all these diffeomorphisms are not topologically mixing. Moreover, for every such example, it exhibits a dichotomy under perturbation: every perturbation of such example either has a unique physical measure and is robustly topologically mixing, or has two physical measures with intermingled basins."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.05282","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":"1701.05282","created_at":"2026-05-18T00:52:30.348362+00:00"},{"alias_kind":"arxiv_version","alias_value":"1701.05282v1","created_at":"2026-05-18T00:52:30.348362+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.05282","created_at":"2026-05-18T00:52:30.348362+00:00"},{"alias_kind":"pith_short_12","alias_value":"2KPJQWR7ZURG","created_at":"2026-05-18T12:30:55.937587+00:00"},{"alias_kind":"pith_short_16","alias_value":"2KPJQWR7ZURG2YY6","created_at":"2026-05-18T12:30:55.937587+00:00"},{"alias_kind":"pith_short_8","alias_value":"2KPJQWR7","created_at":"2026-05-18T12:30:55.937587+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/2KPJQWR7ZURG2YY6NNLX3F44WG","json":"https://pith.science/pith/2KPJQWR7ZURG2YY6NNLX3F44WG.json","graph_json":"https://pith.science/api/pith-number/2KPJQWR7ZURG2YY6NNLX3F44WG/graph.json","events_json":"https://pith.science/api/pith-number/2KPJQWR7ZURG2YY6NNLX3F44WG/events.json","paper":"https://pith.science/paper/2KPJQWR7"},"agent_actions":{"view_html":"https://pith.science/pith/2KPJQWR7ZURG2YY6NNLX3F44WG","download_json":"https://pith.science/pith/2KPJQWR7ZURG2YY6NNLX3F44WG.json","view_paper":"https://pith.science/paper/2KPJQWR7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1701.05282&json=true","fetch_graph":"https://pith.science/api/pith-number/2KPJQWR7ZURG2YY6NNLX3F44WG/graph.json","fetch_events":"https://pith.science/api/pith-number/2KPJQWR7ZURG2YY6NNLX3F44WG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2KPJQWR7ZURG2YY6NNLX3F44WG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2KPJQWR7ZURG2YY6NNLX3F44WG/action/storage_attestation","attest_author":"https://pith.science/pith/2KPJQWR7ZURG2YY6NNLX3F44WG/action/author_attestation","sign_citation":"https://pith.science/pith/2KPJQWR7ZURG2YY6NNLX3F44WG/action/citation_signature","submit_replication":"https://pith.science/pith/2KPJQWR7ZURG2YY6NNLX3F44WG/action/replication_record"}},"created_at":"2026-05-18T00:52:30.348362+00:00","updated_at":"2026-05-18T00:52:30.348362+00:00"}