{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:E3UDZEBNO26QXOMGJP5RT7RBAE","short_pith_number":"pith:E3UDZEBN","schema_version":"1.0","canonical_sha256":"26e83c902d76bd0bb9864bfb19fe210119de062652e8472be80b5ebd78e26e6f","source":{"kind":"arxiv","id":"1009.0485","version":4},"attestation_state":"computed","paper":{"title":"Examples of Minimal Diffeomorphisms on $t^{2}$ Semiconjugated to an Ergodic Translation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Alejandro Passeggi, Martin Sambarino","submitted_at":"2010-09-02T17:40:50Z","abstract_excerpt":"We prove that for every $\\epsilon>0$ there exists a minimal diffeomorphism $f:\\T^{2}\\rightarrow\\T^{2}$ of class $C^{3-\\epsilon}$ and semiconjugate to an ergodic traslation, and have the following properties: zero entropy, sensitivity with respect to initial conditions and Li-Yorke chaos. These examples are obtained through the holonomy of the unstable foliation of Ma\\~{n}\\'e's example of derived from Anosov diffeomorphism on $\\T^3.$"},"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":"1009.0485","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2010-09-02T17:40:50Z","cross_cats_sorted":[],"title_canon_sha256":"57ea052e8850eb214ba833d83f265fe685ebd548599cdbef53e0a0e0d289da68","abstract_canon_sha256":"3b24cc5b4d7d294f27aad54fa4e10e6933ba195d147e8df492f7b4d5474feeae"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:48:59.362928Z","signature_b64":"82zvZRQYf+PePY+6czOCJW1uXTobHqzzlKpXM/URmGf3LEXU+hKDWCZ4F5d+hW0NC9ojujBy4duUm1qYCDb3Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"26e83c902d76bd0bb9864bfb19fe210119de062652e8472be80b5ebd78e26e6f","last_reissued_at":"2026-05-18T03:48:59.361555Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:48:59.361555Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Examples of Minimal Diffeomorphisms on $t^{2}$ Semiconjugated to an Ergodic Translation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Alejandro Passeggi, Martin Sambarino","submitted_at":"2010-09-02T17:40:50Z","abstract_excerpt":"We prove that for every $\\epsilon>0$ there exists a minimal diffeomorphism $f:\\T^{2}\\rightarrow\\T^{2}$ of class $C^{3-\\epsilon}$ and semiconjugate to an ergodic traslation, and have the following properties: zero entropy, sensitivity with respect to initial conditions and Li-Yorke chaos. These examples are obtained through the holonomy of the unstable foliation of Ma\\~{n}\\'e's example of derived from Anosov diffeomorphism on $\\T^3.$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.0485","kind":"arxiv","version":4},"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":"1009.0485","created_at":"2026-05-18T03:48:59.361665+00:00"},{"alias_kind":"arxiv_version","alias_value":"1009.0485v4","created_at":"2026-05-18T03:48:59.361665+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.0485","created_at":"2026-05-18T03:48:59.361665+00:00"},{"alias_kind":"pith_short_12","alias_value":"E3UDZEBNO26Q","created_at":"2026-05-18T12:26:06.534383+00:00"},{"alias_kind":"pith_short_16","alias_value":"E3UDZEBNO26QXOMG","created_at":"2026-05-18T12:26:06.534383+00:00"},{"alias_kind":"pith_short_8","alias_value":"E3UDZEBN","created_at":"2026-05-18T12:26:06.534383+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/E3UDZEBNO26QXOMGJP5RT7RBAE","json":"https://pith.science/pith/E3UDZEBNO26QXOMGJP5RT7RBAE.json","graph_json":"https://pith.science/api/pith-number/E3UDZEBNO26QXOMGJP5RT7RBAE/graph.json","events_json":"https://pith.science/api/pith-number/E3UDZEBNO26QXOMGJP5RT7RBAE/events.json","paper":"https://pith.science/paper/E3UDZEBN"},"agent_actions":{"view_html":"https://pith.science/pith/E3UDZEBNO26QXOMGJP5RT7RBAE","download_json":"https://pith.science/pith/E3UDZEBNO26QXOMGJP5RT7RBAE.json","view_paper":"https://pith.science/paper/E3UDZEBN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1009.0485&json=true","fetch_graph":"https://pith.science/api/pith-number/E3UDZEBNO26QXOMGJP5RT7RBAE/graph.json","fetch_events":"https://pith.science/api/pith-number/E3UDZEBNO26QXOMGJP5RT7RBAE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/E3UDZEBNO26QXOMGJP5RT7RBAE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/E3UDZEBNO26QXOMGJP5RT7RBAE/action/storage_attestation","attest_author":"https://pith.science/pith/E3UDZEBNO26QXOMGJP5RT7RBAE/action/author_attestation","sign_citation":"https://pith.science/pith/E3UDZEBNO26QXOMGJP5RT7RBAE/action/citation_signature","submit_replication":"https://pith.science/pith/E3UDZEBNO26QXOMGJP5RT7RBAE/action/replication_record"}},"created_at":"2026-05-18T03:48:59.361665+00:00","updated_at":"2026-05-18T03:48:59.361665+00:00"}