{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:GVVEZKCWB5MHVAAYQOAGKQJM5D","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":"627820a69e115614818b38b73e186d174c9e45daae980415a4437fcf7756344b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2016-05-06T00:10:01Z","title_canon_sha256":"67a6dbfa6e5617ec7ec596bef6399962b21bad78b0470356cb7d8eb1b4b6712f"},"schema_version":"1.0","source":{"id":"1605.01795","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.01795","created_at":"2026-05-18T01:04:32Z"},{"alias_kind":"arxiv_version","alias_value":"1605.01795v2","created_at":"2026-05-18T01:04:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.01795","created_at":"2026-05-18T01:04:32Z"},{"alias_kind":"pith_short_12","alias_value":"GVVEZKCWB5MH","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"GVVEZKCWB5MHVAAY","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"GVVEZKCW","created_at":"2026-05-18T12:30:19Z"}],"graph_snapshots":[{"event_id":"sha256:37e036bc43bf035beca5c13a1931734f094cabd8921a0ac669788ecdb0b8af4c","target":"graph","created_at":"2026-05-18T01:04:32Z","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":"Suppose that a finitely generated group $G$ is hyperbolic relative to a collection of subgroups $\\mathbb{P}=\\{P_1,\\dots,P_m\\}$. Let $H_1,H_2$ be subgroups of $G$ such that $H_1$ is relatively quasiconvex with respect to $\\mathbb{P}$ and $H_2$ is not parabolic. Suppose that $H_2$ is elementwise conjugate into $H_1$. Then there exists a finite index subgroup of $H_2$ which is conjugate into $H_1$. The minimal length of the conjugator can be estimated. In the case where $G$ is a limit group, it is sufficient to assume only that $H_1$ is a finitely generated and $H_2$ is an arbitrary subgroup of $","authors_text":"Kai-Uwe Bux, Oleg Bogopolski","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2016-05-06T00:10:01Z","title":"From local to global conjugacy of subgroups of relatively hyperbolic groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.01795","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:bee07996c7dd1265db17215ed24741486072e05eb7080717236cac481516a5db","target":"record","created_at":"2026-05-18T01:04:32Z","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":"627820a69e115614818b38b73e186d174c9e45daae980415a4437fcf7756344b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2016-05-06T00:10:01Z","title_canon_sha256":"67a6dbfa6e5617ec7ec596bef6399962b21bad78b0470356cb7d8eb1b4b6712f"},"schema_version":"1.0","source":{"id":"1605.01795","kind":"arxiv","version":2}},"canonical_sha256":"356a4ca8560f587a8018838065412ce8cd036ea8d569e7db985d9b6023765c9f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"356a4ca8560f587a8018838065412ce8cd036ea8d569e7db985d9b6023765c9f","first_computed_at":"2026-05-18T01:04:32.823145Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:04:32.823145Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"M/JxzyIQNVEwyfIpFeJXlObiM47aTx4ZW8M5Hk2xPOmd3MPD5GzwuZUQQv4dCSwu4EFWopT+/UA/zP0V1SB8CA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:04:32.823907Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.01795","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bee07996c7dd1265db17215ed24741486072e05eb7080717236cac481516a5db","sha256:37e036bc43bf035beca5c13a1931734f094cabd8921a0ac669788ecdb0b8af4c"],"state_sha256":"8d0d3595e7e1778c5678cfefb9e2b12f278cb2c50b0eb6fde13bc72f1a0e4b45"}