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As a corollary, we deduce that each group of the form $B_n \\rtimes H$, a semidirect product of the braid group $B_n$ by a torsion-free hyperbolic group $H$, has solvable conjugacy problem."},"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":"1104.5690","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2011-04-29T18:06:07Z","cross_cats_sorted":[],"title_canon_sha256":"c5cf60737912bad8813da5731ed3018182ec6862cdd7403c0fb406bb2a262e1a","abstract_canon_sha256":"5da7cee691ce331d5bbf460637ddcdb3b3a6391fb3533e865d0c805cbbd77e73"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:23:13.641703Z","signature_b64":"xjtAwcYhIaQEYZdPhkeodw7FmcMZGcyIkyoe/HvZhrqxVVIwOaLzO9m/ztFpwMKB/Rm2HFx540LPN4vfVtKPAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"be30e7c90c978a2c8d04005cf57b9bd05eb7ef07ae139fcba6485bfb3b0c16df","last_reissued_at":"2026-05-18T04:23:13.641061Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:23:13.641061Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Twisted conjugacy in braid groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Enric Ventura, Juan Gonz\\'alez-Meneses","submitted_at":"2011-04-29T18:06:07Z","abstract_excerpt":"In this note we solve the twisted conjugacy problem for braid groups, i.e. we propose an algorithm which, given two braids $u,v\\in B_n$ and an automorphism $\\phi \\in Aut (B_n)$, decides whether $v=(\\phi (x))^{-1}ux$ for some $x\\in B_n$. 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