{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:5RX7K3YUCJOQOIPCIX4KXKJNHY","short_pith_number":"pith:5RX7K3YU","schema_version":"1.0","canonical_sha256":"ec6ff56f14125d0721e245f8aba92d3e1339c50e8928e2292b40218f0291cdac","source":{"kind":"arxiv","id":"1506.02464","version":3},"attestation_state":"computed","paper":{"title":"The $R_{\\infty}$ and $S_{\\infty}$ properties for linear algebraic groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Alexander Fel'shtyn, Timur Nasybullov","submitted_at":"2015-06-08T12:34:26Z","abstract_excerpt":"In the paper we study twisted conjugacy classes and isogredience classes for automorphisms of reductive linear algebraic groups. We show that reductive linear algebraic groups over some fields of zero characteristic possess the $R_\\infty$ and $S_\\infty$ properties."},"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":"1506.02464","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2015-06-08T12:34:26Z","cross_cats_sorted":[],"title_canon_sha256":"111875c53dce19c96fdaa9d0f10c0a873f4535629592ea20638aae38967d6a70","abstract_canon_sha256":"ab795ed906336f62adc40722fa8598916fd1f70a38f93d081103fdaf61cfcfd1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:53:08.570724Z","signature_b64":"hCN0sLybFjbqEQGt+00i3Aa8m48hIXlaS6ysF6o+nOkkKWe9rciD9pPabfSWY6MSH+o6qwE09AKwBRqmd491BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ec6ff56f14125d0721e245f8aba92d3e1339c50e8928e2292b40218f0291cdac","last_reissued_at":"2026-05-18T01:53:08.570223Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:53:08.570223Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The $R_{\\infty}$ and $S_{\\infty}$ properties for linear algebraic groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Alexander Fel'shtyn, Timur Nasybullov","submitted_at":"2015-06-08T12:34:26Z","abstract_excerpt":"In the paper we study twisted conjugacy classes and isogredience classes for automorphisms of reductive linear algebraic groups. We show that reductive linear algebraic groups over some fields of zero characteristic possess the $R_\\infty$ and $S_\\infty$ properties."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.02464","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":"1506.02464","created_at":"2026-05-18T01:53:08.570293+00:00"},{"alias_kind":"arxiv_version","alias_value":"1506.02464v3","created_at":"2026-05-18T01:53:08.570293+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.02464","created_at":"2026-05-18T01:53:08.570293+00:00"},{"alias_kind":"pith_short_12","alias_value":"5RX7K3YUCJOQ","created_at":"2026-05-18T12:29:07.941421+00:00"},{"alias_kind":"pith_short_16","alias_value":"5RX7K3YUCJOQOIPC","created_at":"2026-05-18T12:29:07.941421+00:00"},{"alias_kind":"pith_short_8","alias_value":"5RX7K3YU","created_at":"2026-05-18T12:29:07.941421+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/5RX7K3YUCJOQOIPCIX4KXKJNHY","json":"https://pith.science/pith/5RX7K3YUCJOQOIPCIX4KXKJNHY.json","graph_json":"https://pith.science/api/pith-number/5RX7K3YUCJOQOIPCIX4KXKJNHY/graph.json","events_json":"https://pith.science/api/pith-number/5RX7K3YUCJOQOIPCIX4KXKJNHY/events.json","paper":"https://pith.science/paper/5RX7K3YU"},"agent_actions":{"view_html":"https://pith.science/pith/5RX7K3YUCJOQOIPCIX4KXKJNHY","download_json":"https://pith.science/pith/5RX7K3YUCJOQOIPCIX4KXKJNHY.json","view_paper":"https://pith.science/paper/5RX7K3YU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1506.02464&json=true","fetch_graph":"https://pith.science/api/pith-number/5RX7K3YUCJOQOIPCIX4KXKJNHY/graph.json","fetch_events":"https://pith.science/api/pith-number/5RX7K3YUCJOQOIPCIX4KXKJNHY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5RX7K3YUCJOQOIPCIX4KXKJNHY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5RX7K3YUCJOQOIPCIX4KXKJNHY/action/storage_attestation","attest_author":"https://pith.science/pith/5RX7K3YUCJOQOIPCIX4KXKJNHY/action/author_attestation","sign_citation":"https://pith.science/pith/5RX7K3YUCJOQOIPCIX4KXKJNHY/action/citation_signature","submit_replication":"https://pith.science/pith/5RX7K3YUCJOQOIPCIX4KXKJNHY/action/replication_record"}},"created_at":"2026-05-18T01:53:08.570293+00:00","updated_at":"2026-05-18T01:53:08.570293+00:00"}