{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:2KLITZAOX6NFRCPAUMYWLLKRFE","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"9293fa93868453b7b703d7ad7e0b8b776b9613104438f241fce7bfcb3b8feb8b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2017-07-18T12:15:19Z","title_canon_sha256":"a131dc23e0f634a2f6ed268ad2c546cc9d91702b258417948573b716b625528b"},"schema_version":"1.0","source":{"id":"1707.05581","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.05581","created_at":"2026-05-17T23:44:15Z"},{"alias_kind":"arxiv_version","alias_value":"1707.05581v5","created_at":"2026-05-17T23:44:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.05581","created_at":"2026-05-17T23:44:15Z"},{"alias_kind":"pith_short_12","alias_value":"2KLITZAOX6NF","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"2KLITZAOX6NFRCPA","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"2KLITZAO","created_at":"2026-05-18T12:30:55Z"}],"graph_snapshots":[{"event_id":"sha256:b9614bb7b1afd322d91fe35c65c3e50110643b161270d1c105e1ae26cc85a4bd","target":"graph","created_at":"2026-05-17T23:44:15Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We develop a theory of \\emph{strongly quasiconvex subgroups} of an arbitrary finitely generated group. Strong quasiconvexity generalizes quasiconvexity in hyperbolic groups and is preserved under quasi-isometry. We show that strongly quasiconvex subgroups are also more reflexive of the ambient groups geometry than the stable subgroups defined by Durham-Taylor, while still having many analogous properties to those of quasiconvex subgroups of hyperbolic groups. We characterize strongly quasiconvex subgroups in terms of the lower relative divergence of ambient groups with respect to them.\n  We al","authors_text":"Hung Cong Tran","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2017-07-18T12:15:19Z","title":"On strongly quasiconvex subgroups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.05581","kind":"arxiv","version":5},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:3bf610225d986e0aa42f1a25cff571c746ab66bea90eb5a61a8c9e44970e7abe","target":"record","created_at":"2026-05-17T23:44:15Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"9293fa93868453b7b703d7ad7e0b8b776b9613104438f241fce7bfcb3b8feb8b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2017-07-18T12:15:19Z","title_canon_sha256":"a131dc23e0f634a2f6ed268ad2c546cc9d91702b258417948573b716b625528b"},"schema_version":"1.0","source":{"id":"1707.05581","kind":"arxiv","version":5}},"canonical_sha256":"d29689e40ebf9a5889e0a33165ad51293f52c58399dd6ef73b3b8c6ef80171d4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d29689e40ebf9a5889e0a33165ad51293f52c58399dd6ef73b3b8c6ef80171d4","first_computed_at":"2026-05-17T23:44:15.682087Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:44:15.682087Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"I4dDa673ARtdkk7Z3XBpseYZIo30abhZOEi4WPx6qde5998CuksohtlfNGhgaL0c76XeUtpZLOKGEuapG6BPAg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:44:15.682691Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.05581","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3bf610225d986e0aa42f1a25cff571c746ab66bea90eb5a61a8c9e44970e7abe","sha256:b9614bb7b1afd322d91fe35c65c3e50110643b161270d1c105e1ae26cc85a4bd"],"state_sha256":"77d659888816fb797a8f1df03fdf896454a7b31dc828ff71fb0b59a92b5f8082"}