{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:DJYTTY5XSE2LQR7HEY6JHWHE5S","short_pith_number":"pith:DJYTTY5X","schema_version":"1.0","canonical_sha256":"1a7139e3b79134b847e7263c93d8e4ecb24369b896df1129e578d71e98650d3d","source":{"kind":"arxiv","id":"1504.00613","version":3},"attestation_state":"computed","paper":{"title":"Virtually compact special hyperbolic groups are conjugacy separable","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Ashot Minasyan, Pavel Zalesskii","submitted_at":"2015-04-02T16:44:25Z","abstract_excerpt":"We prove that any word hyperbolic group which is virtually compact special (in the sense of Haglund and Wise) is conjugacy separable. As a consequence we deduce that all word hyperbolic Coxeter groups and many classical small cancellation groups are conjugacy separable.\n  To get the main result we establish a new criterion for showing that elements of prime order are conjugacy distinguished. This criterion is of independent interest; its proof is based on a combination of discrete and profinite (co)homology theories."},"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":"1504.00613","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2015-04-02T16:44:25Z","cross_cats_sorted":[],"title_canon_sha256":"f533a676db6699b26b5e6c2b63fe4db866b7d58ed242755f5ee043be92aac138","abstract_canon_sha256":"1672194f1d23473758c88e7067bff80d8afe0f553016c4cfdb44b400b432c5f9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:48:20.756166Z","signature_b64":"XQEtpeFOlsLEw+LtZwodj/kgs1Hm3E+VbxpHfVlzFNoMM0enyO7d3PygUIvN2/48QhBXmdbU0u3ek0lLvw37BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1a7139e3b79134b847e7263c93d8e4ecb24369b896df1129e578d71e98650d3d","last_reissued_at":"2026-05-18T00:48:20.755495Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:48:20.755495Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Virtually compact special hyperbolic groups are conjugacy separable","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Ashot Minasyan, Pavel Zalesskii","submitted_at":"2015-04-02T16:44:25Z","abstract_excerpt":"We prove that any word hyperbolic group which is virtually compact special (in the sense of Haglund and Wise) is conjugacy separable. As a consequence we deduce that all word hyperbolic Coxeter groups and many classical small cancellation groups are conjugacy separable.\n  To get the main result we establish a new criterion for showing that elements of prime order are conjugacy distinguished. This criterion is of independent interest; its proof is based on a combination of discrete and profinite (co)homology theories."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.00613","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":"1504.00613","created_at":"2026-05-18T00:48:20.755601+00:00"},{"alias_kind":"arxiv_version","alias_value":"1504.00613v3","created_at":"2026-05-18T00:48:20.755601+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.00613","created_at":"2026-05-18T00:48:20.755601+00:00"},{"alias_kind":"pith_short_12","alias_value":"DJYTTY5XSE2L","created_at":"2026-05-18T12:29:17.054201+00:00"},{"alias_kind":"pith_short_16","alias_value":"DJYTTY5XSE2LQR7H","created_at":"2026-05-18T12:29:17.054201+00:00"},{"alias_kind":"pith_short_8","alias_value":"DJYTTY5X","created_at":"2026-05-18T12:29:17.054201+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/DJYTTY5XSE2LQR7HEY6JHWHE5S","json":"https://pith.science/pith/DJYTTY5XSE2LQR7HEY6JHWHE5S.json","graph_json":"https://pith.science/api/pith-number/DJYTTY5XSE2LQR7HEY6JHWHE5S/graph.json","events_json":"https://pith.science/api/pith-number/DJYTTY5XSE2LQR7HEY6JHWHE5S/events.json","paper":"https://pith.science/paper/DJYTTY5X"},"agent_actions":{"view_html":"https://pith.science/pith/DJYTTY5XSE2LQR7HEY6JHWHE5S","download_json":"https://pith.science/pith/DJYTTY5XSE2LQR7HEY6JHWHE5S.json","view_paper":"https://pith.science/paper/DJYTTY5X","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1504.00613&json=true","fetch_graph":"https://pith.science/api/pith-number/DJYTTY5XSE2LQR7HEY6JHWHE5S/graph.json","fetch_events":"https://pith.science/api/pith-number/DJYTTY5XSE2LQR7HEY6JHWHE5S/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DJYTTY5XSE2LQR7HEY6JHWHE5S/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DJYTTY5XSE2LQR7HEY6JHWHE5S/action/storage_attestation","attest_author":"https://pith.science/pith/DJYTTY5XSE2LQR7HEY6JHWHE5S/action/author_attestation","sign_citation":"https://pith.science/pith/DJYTTY5XSE2LQR7HEY6JHWHE5S/action/citation_signature","submit_replication":"https://pith.science/pith/DJYTTY5XSE2LQR7HEY6JHWHE5S/action/replication_record"}},"created_at":"2026-05-18T00:48:20.755601+00:00","updated_at":"2026-05-18T00:48:20.755601+00:00"}