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As an application, we show that for a subgroup $H\\le Out(F_N)$, containing an iwip, either $H$ contains a hyperbolic iwip or $H$ is contained in the image in $Out(F_N)$ of the mapping class group of a surface with a single boundary component."},"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":"1311.1470","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-11-06T18:14:21Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"5ec42cdd7a1b532e9105b5b1a67e365e4038c04623f6b9d61b7f41221a5f1bf5","abstract_canon_sha256":"57028c1a5adc8f25d34d088843f0df6b655d69834333c75d21f4d7972edc4f8d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:40:37.110373Z","signature_b64":"dRQ3WNt6tMc6V77tgnN9Jcs9yCFRbDIoUkuHn9TkWwK7ZPwq+3IQSD9knm1QTMX2O88oTVyRi9Ijr2fuSgbIBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"03e8e4efbb1973d9ef5fe0aba24b107937d581d897598ca020d58d6e74446587","last_reissued_at":"2026-05-17T23:40:37.109817Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:40:37.109817Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Generalized north-south dynamics on the space of geodesic currents","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.GT","authors_text":"Caglar Uyanik","submitted_at":"2013-11-06T18:14:21Z","abstract_excerpt":"We prove uniform north-south dynamics type results for the action of $\\varphi\\in Out(F_{N})$ on the space of projectivized geodesic currents $\\mathbb{P}Curr(S)=\\mathbb{P}Curr(F_{N})$, where $\\varphi$ is induced by a pseudo-Anosov homeomorphism on a compact surface S with boundary such that $\\pi_{1}(S)=F_{N}$. 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