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Then $f$ is smoothly ($C^\\infty$) conjugate to $L$ if and only if obstructions to $C^1$ conjugacy given by the eigenvalues at periodic points of $f$ vanish. By combining our result and a local rigidity result of Kalinin and Sadovskaya for conformal automorphisms this completes the local rigidity program for hyperbolic automorphis"},"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":"1407.7771","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-07-29T16:51:28Z","cross_cats_sorted":[],"title_canon_sha256":"db02c7196ec975eee41088aa18803e00fcd64655ed7d4a67379c0d8bfaeb0c4d","abstract_canon_sha256":"0baeb2a0722c8405d572049ee46192584fed4eb127067df70f68e364f928202a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:17:01.291701Z","signature_b64":"H1+JTu1MgoFBnFuEL++YUSYav6mh32ALy3/8oTZAb5NSVCM61EVRMnSNJQF35VQIbPbTDU4HKC0JginQ9L/0Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6ff0d1469f56cfbd8a673a92425fa078bd966288938a2422ac77ef45452439da","last_reissued_at":"2026-05-18T01:17:01.290988Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:17:01.290988Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bootstrap for local rigidity of Anosov automorphisms on the 3-torus","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Andrey Gogolev","submitted_at":"2014-07-29T16:51:28Z","abstract_excerpt":"We establish a strong form of local rigidity for hyperbolic automorphisms of the 3-torus with real spectrum. 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