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For $\\alpha \\in (0,1)$, Sarig and Gou\\\"ezel proved that the system mixes only polynomially with rate $n^{1-1/\\alpha}$ (in particular, there is no spectral gap). We show that for any $\\psi\\in L^q$, the map $\\alpha \\to \\int_0^1 \\psi\\, d\\mu_\\alpha$ is differentiable on $[0,1-1/q)$, and we g"},"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":"1508.02700","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-08-11T19:28:49Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"bce2be63c1fc45431020eed51e9b5642dff3272eff2ca73110357bccff34be42","abstract_canon_sha256":"0359c08ea1b55624ac52c98a821be5f0e4e9ab7a404f12ab31038914e4ba579a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:55:58.492990Z","signature_b64":"G+w9ERZouQK3onSLbcFhw7YRRvEsTNaOi+/kDLNi3I+0Rx58OYtVETmi3FQlIcc7vFdQZL0qADeaNo3rQGzADQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"29769b0a6907f5c36c4f1b6aea489ab97845205b3b4071fafc7ee8cc6699ad5a","last_reissued_at":"2026-05-18T00:55:58.492572Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:55:58.492572Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Linear response for intermittent maps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD"],"primary_cat":"math.DS","authors_text":"M. 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