{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:77SBXSMAMXC6IGAKBJKZQIQB2N","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":"f2fe632574c304670cb9e962dec002bcebd3b1f5c4d30ab2355a8ad0505d4626","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2013-04-15T09:48:12Z","title_canon_sha256":"a63ade484ba09a955ce3ca4ad65e9b24188f45bb1bd9efbe0aa0bd12918b8756"},"schema_version":"1.0","source":{"id":"1304.4036","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.4036","created_at":"2026-05-18T01:21:20Z"},{"alias_kind":"arxiv_version","alias_value":"1304.4036v2","created_at":"2026-05-18T01:21:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.4036","created_at":"2026-05-18T01:21:20Z"},{"alias_kind":"pith_short_12","alias_value":"77SBXSMAMXC6","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"77SBXSMAMXC6IGAK","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"77SBXSMA","created_at":"2026-05-18T12:27:36Z"}],"graph_snapshots":[{"event_id":"sha256:5e5a0dd23ca60f0eddb2fbd6214418bc035baa07652a81e813fbd39e71e7805a","target":"graph","created_at":"2026-05-18T01:21:20Z","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 prove that for any finitely generated relatively hyperbolic group G and any symmetric endomorphism f of G with relatively quasiconvex image, Fixf is relatively quasiconvex subgroup of G.","authors_text":"M. Sykiotis, V. Metaftsis","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2013-04-15T09:48:12Z","title":"On the quasiconvexity of the fixed subgroup of endomorphisms of relatively hyperbolic groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.4036","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":"sha256:6e7993c42657f25b277b6828cec0df18ee5098fdd797c7afe849060a58437602","target":"record","created_at":"2026-05-18T01:21:20Z","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":"f2fe632574c304670cb9e962dec002bcebd3b1f5c4d30ab2355a8ad0505d4626","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2013-04-15T09:48:12Z","title_canon_sha256":"a63ade484ba09a955ce3ca4ad65e9b24188f45bb1bd9efbe0aa0bd12918b8756"},"schema_version":"1.0","source":{"id":"1304.4036","kind":"arxiv","version":2}},"canonical_sha256":"ffe41bc98065c5e4180a0a55982201d35a96365d23b985fa0cd74f98d7cf2062","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ffe41bc98065c5e4180a0a55982201d35a96365d23b985fa0cd74f98d7cf2062","first_computed_at":"2026-05-18T01:21:20.079120Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:21:20.079120Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"T2T6bIbJn7ehCQR/ee+jtm8eJHy5HEQE06yTF185lVKs3ih//GDESkxdqJqjqAq2KkWga2OdG+qiMcIqeRqXCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:21:20.079689Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.4036","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6e7993c42657f25b277b6828cec0df18ee5098fdd797c7afe849060a58437602","sha256:5e5a0dd23ca60f0eddb2fbd6214418bc035baa07652a81e813fbd39e71e7805a"],"state_sha256":"17cc3de4d5825d26873098327a14de9ee3f7a56c5a927dd6e93998060cd44fb1"}