{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:SUCSW3U4I333KQU5NN3NBK3XUE","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":"df419fef02030453d51825e42cc1cff7f84f8a3041d6ae495bf98d660e33f02c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2017-11-15T20:47:25Z","title_canon_sha256":"2d21f8a18f5950a9050f259aa1a63d33dca9c500a2501fc849db8db0a4377122"},"schema_version":"1.0","source":{"id":"1711.05797","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.05797","created_at":"2026-05-18T00:02:28Z"},{"alias_kind":"arxiv_version","alias_value":"1711.05797v2","created_at":"2026-05-18T00:02:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.05797","created_at":"2026-05-18T00:02:28Z"},{"alias_kind":"pith_short_12","alias_value":"SUCSW3U4I333","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"SUCSW3U4I333KQU5","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"SUCSW3U4","created_at":"2026-05-18T12:31:43Z"}],"graph_snapshots":[{"event_id":"sha256:127f28db4a237462eec8d3da3bc33351b1f2da2857fecf846cc2e6cd189bd2d4","target":"graph","created_at":"2026-05-18T00:02:28Z","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 classify finitely generated, residually finite automorphism-induced HNN-extensions in terms of the residual separability of a single associated subgroup. This classification provides a method to construct automorphism-induced HNN-extensions which are not residually finite. We prove that this method can never yield a \"new\" counter-example to Gromov's conjecture on the residual finiteness of hyperbolic groups.","authors_text":"Alan D. Logan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2017-11-15T20:47:25Z","title":"The residual finiteness of (hyperbolic) automorphism-induced HNN-extensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.05797","kind":"arxiv","version":2},"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":"sha256:559cf3fe90b302045c60daf5bfe9778ae81fe4e8bd0376d51867bdf757296a71","target":"record","created_at":"2026-05-18T00:02:28Z","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":"df419fef02030453d51825e42cc1cff7f84f8a3041d6ae495bf98d660e33f02c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2017-11-15T20:47:25Z","title_canon_sha256":"2d21f8a18f5950a9050f259aa1a63d33dca9c500a2501fc849db8db0a4377122"},"schema_version":"1.0","source":{"id":"1711.05797","kind":"arxiv","version":2}},"canonical_sha256":"95052b6e9c46f7b5429d6b76d0ab77a119608727173583d9d7c0a0243c5182ec","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"95052b6e9c46f7b5429d6b76d0ab77a119608727173583d9d7c0a0243c5182ec","first_computed_at":"2026-05-18T00:02:28.116716Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:02:28.116716Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wK9QYWIBrqROygA4dIRZmi/bSZ0ziV/F7Hn5X+maqHQnGLlfQ9wxddMDzVYeYrvACZlJXU3Ou+y+uqFlLUSuCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:02:28.117367Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.05797","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:559cf3fe90b302045c60daf5bfe9778ae81fe4e8bd0376d51867bdf757296a71","sha256:127f28db4a237462eec8d3da3bc33351b1f2da2857fecf846cc2e6cd189bd2d4"],"state_sha256":"914cc1d49b66491fff1f0612160fe1e65c1bee65fc3752fa8290ca9ce7149f68"}