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We also show that LERF for finite volume hyperbolic 3-manifolds would follow from LERF for closed hyperbolic 3-manifolds.\n  The method is to reduce, via combination and filling theorems, the separability of a quasiconvex"},"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":"0811.4001","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2008-11-25T00:19:37Z","cross_cats_sorted":["math.GT"],"title_canon_sha256":"0fffb8fdb2a3485cee3e5053d8c063038c7ded144eeadd4b5f2666db94071ca3","abstract_canon_sha256":"7f335e89c575cbe90c43c010ce99ef67d28e663d9c05699c6b9314ba46ceae2d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:20:47.752213Z","signature_b64":"Z0weY3G3lYTf1DUQAlNi+wMcJ0LOfbZkNYDPSgf31pMZhTb0SS48E59uxoaQlR9y462ioaLEXZa3ucNkerSzBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6ef62d71dcb95606f25676a0086e523148e5511aa4ac7058759ef758d0a450b9","last_reissued_at":"2026-05-18T01:20:47.751730Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:20:47.751730Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Separation of Relatively Quasiconvex Subgroups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT"],"primary_cat":"math.GR","authors_text":"Eduardo Martinez-Pedroza, Jason Fox Manning","submitted_at":"2008-11-25T00:19:37Z","abstract_excerpt":"Suppose that all hyperbolic groups are residually finite. 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