{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:Q4CKUC3C2SKK6LHR3SQWSGEYGF","short_pith_number":"pith:Q4CKUC3C","schema_version":"1.0","canonical_sha256":"8704aa0b62d494af2cf1dca1691898316d3ee8cfed8b8401579727a5217913c7","source":{"kind":"arxiv","id":"1708.07968","version":3},"attestation_state":"computed","paper":{"title":"Quasiconvexity and Dehn filling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT"],"primary_cat":"math.GR","authors_text":"Daniel Groves, Jason Fox Manning","submitted_at":"2017-08-26T13:42:30Z","abstract_excerpt":"We define a new condition on relatively hyperbolic Dehn filling which allows us to control the behavior of a relatively quasiconvex subgroups which need not be full. As an application, in combination with a recent result of Cooper and Futer, we provide a new proof of the virtual fibering of non-compact finite-volume hyperbolic 3-manifolds, a result first proved by Wise. Additionally, we explain how the results of [2, Appendix A] can be generalized to the relative setting to control the relative height of relatively quasiconvex subgroups under appropriate Dehn fillings."},"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":"1708.07968","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2017-08-26T13:42:30Z","cross_cats_sorted":["math.GT"],"title_canon_sha256":"3129dec4e6e90b43e00a5da89f3d0e5ec98d56a76c5f374cd22a1c01fa0f5621","abstract_canon_sha256":"b868c724f131f51a166fdefc501a24b728fc6c0c9b18b2a25480f87606189c2f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:46:55.681517Z","signature_b64":"FzeP/JwJeB1IU6SttqsKWHFbS3ysHua5Xv+gledJJEAr8ZhC4vD+iowlRDRF9J6aOxPJc4/a6CBFNfot1xe4Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8704aa0b62d494af2cf1dca1691898316d3ee8cfed8b8401579727a5217913c7","last_reissued_at":"2026-05-17T23:46:55.680817Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:46:55.680817Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quasiconvexity and Dehn filling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT"],"primary_cat":"math.GR","authors_text":"Daniel Groves, Jason Fox Manning","submitted_at":"2017-08-26T13:42:30Z","abstract_excerpt":"We define a new condition on relatively hyperbolic Dehn filling which allows us to control the behavior of a relatively quasiconvex subgroups which need not be full. As an application, in combination with a recent result of Cooper and Futer, we provide a new proof of the virtual fibering of non-compact finite-volume hyperbolic 3-manifolds, a result first proved by Wise. Additionally, we explain how the results of [2, Appendix A] can be generalized to the relative setting to control the relative height of relatively quasiconvex subgroups under appropriate Dehn fillings."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.07968","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1708.07968","created_at":"2026-05-17T23:46:55.680912+00:00"},{"alias_kind":"arxiv_version","alias_value":"1708.07968v3","created_at":"2026-05-17T23:46:55.680912+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.07968","created_at":"2026-05-17T23:46:55.680912+00:00"},{"alias_kind":"pith_short_12","alias_value":"Q4CKUC3C2SKK","created_at":"2026-05-18T12:31:37.085036+00:00"},{"alias_kind":"pith_short_16","alias_value":"Q4CKUC3C2SKK6LHR","created_at":"2026-05-18T12:31:37.085036+00:00"},{"alias_kind":"pith_short_8","alias_value":"Q4CKUC3C","created_at":"2026-05-18T12:31:37.085036+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/Q4CKUC3C2SKK6LHR3SQWSGEYGF","json":"https://pith.science/pith/Q4CKUC3C2SKK6LHR3SQWSGEYGF.json","graph_json":"https://pith.science/api/pith-number/Q4CKUC3C2SKK6LHR3SQWSGEYGF/graph.json","events_json":"https://pith.science/api/pith-number/Q4CKUC3C2SKK6LHR3SQWSGEYGF/events.json","paper":"https://pith.science/paper/Q4CKUC3C"},"agent_actions":{"view_html":"https://pith.science/pith/Q4CKUC3C2SKK6LHR3SQWSGEYGF","download_json":"https://pith.science/pith/Q4CKUC3C2SKK6LHR3SQWSGEYGF.json","view_paper":"https://pith.science/paper/Q4CKUC3C","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1708.07968&json=true","fetch_graph":"https://pith.science/api/pith-number/Q4CKUC3C2SKK6LHR3SQWSGEYGF/graph.json","fetch_events":"https://pith.science/api/pith-number/Q4CKUC3C2SKK6LHR3SQWSGEYGF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Q4CKUC3C2SKK6LHR3SQWSGEYGF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Q4CKUC3C2SKK6LHR3SQWSGEYGF/action/storage_attestation","attest_author":"https://pith.science/pith/Q4CKUC3C2SKK6LHR3SQWSGEYGF/action/author_attestation","sign_citation":"https://pith.science/pith/Q4CKUC3C2SKK6LHR3SQWSGEYGF/action/citation_signature","submit_replication":"https://pith.science/pith/Q4CKUC3C2SKK6LHR3SQWSGEYGF/action/replication_record"}},"created_at":"2026-05-17T23:46:55.680912+00:00","updated_at":"2026-05-17T23:46:55.680912+00:00"}