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In particular, this provides some evidence towards Smale's conjecture that Axiom A is a $C^1$-dense property among surface diffeomorphisms.\n  The basic tools in the proof of this result are: 1) a recent theorem of Moreira saying that"},"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":"1004.5453","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2010-04-30T06:16:48Z","cross_cats_sorted":[],"title_canon_sha256":"b8d515bb31a7c2ae733eb7bca11cd417b19a4528af0f6d021cfc395ab2f6872a","abstract_canon_sha256":"c8efc7d3bbb786e38234b1c66372308d9d466ff257b556b183bb718ba42ec4bc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:45:56.219677Z","signature_b64":"aEEi0fi8n+GSqFEPJ/g+Mqx7G2ngrisYPuXshoap+YBel6GB1sGk125ilC7bVJIoZkIwI1hPtjbfhhBcExaFDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"89534d3f503a4a55b81efb2f879a8ab2d02c22076fe4fa3532dbb9f58d27502e","last_reissued_at":"2026-05-18T02:45:56.219194Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:45:56.219194Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Axiom A versus Newhouse phenomena for Benedicks-Carleson toy models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Carlos Gustavo Moreira, Carlos Matheus, Enrique Pujals","submitted_at":"2010-04-30T06:16:48Z","abstract_excerpt":"We consider a family of planar systems introduced in 1991 by Benedicks and Carleson as a toy model for the dynamics of the so-called H\\'enon maps. 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