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If there are infinitely many $\\phi$-twisted conjugacy classes for every automorphism $\\phi$ of $G$ we say that $G$ has the $R_\\infty$-property. We prove that the generalized Richard Thompson groups $F_n$ and $F(l,A,P)$ have the $R_\\infty$-property."},"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":"1312.2167","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2013-12-08T03:08:49Z","cross_cats_sorted":[],"title_canon_sha256":"ec5f2aaba2d8ff17cdd311eca684672dd0d4014e90b5ddbb11c627863a2c01f1","abstract_canon_sha256":"08b01d3e66310910defe770ff39b190b50f9bc17918294385e4684dca58a2b7c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:01:55.922395Z","signature_b64":"jhPOvDhc2G/Dln2TkqWSC/DDh2iDTaDR/ID/iZpZbFQ3be8VneDLODydFMvJq3aMmLhK78HNwrD3lIdGlSERBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e6b3fbaa4989ebe00381e973d4dc466998a6cda2bd6db1b220eb3afbbad46d55","last_reissued_at":"2026-05-18T03:01:55.921649Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:01:55.921649Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Twisted conjugacy in generalized Thompson groups of type F","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Daciberg Goncalves, Parameswaran Sankaran","submitted_at":"2013-12-08T03:08:49Z","abstract_excerpt":"If $\\phi$ is an automorphism of a group $G$ and $x,y\\in G$, we say that $x$ and $y$ are $\\phi$-twisted conjugates if there exists an $z\\in G$ such that $y=z.x.\\phi(z^{-1})$. This is an equivalence relation. If there are infinitely many $\\phi$-twisted conjugacy classes for every automorphism $\\phi$ of $G$ we say that $G$ has the $R_\\infty$-property. We prove that the generalized Richard Thompson groups $F_n$ and $F(l,A,P)$ have the $R_\\infty$-property."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.2167","kind":"arxiv","version":2},"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":"1312.2167","created_at":"2026-05-18T03:01:55.921779+00:00"},{"alias_kind":"arxiv_version","alias_value":"1312.2167v2","created_at":"2026-05-18T03:01:55.921779+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.2167","created_at":"2026-05-18T03:01:55.921779+00:00"},{"alias_kind":"pith_short_12","alias_value":"42Z7XKSJRHV6","created_at":"2026-05-18T12:27:32.513160+00:00"},{"alias_kind":"pith_short_16","alias_value":"42Z7XKSJRHV6AA4B","created_at":"2026-05-18T12:27:32.513160+00:00"},{"alias_kind":"pith_short_8","alias_value":"42Z7XKSJ","created_at":"2026-05-18T12:27:32.513160+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/42Z7XKSJRHV6AA4B5FZ5JXCGNG","json":"https://pith.science/pith/42Z7XKSJRHV6AA4B5FZ5JXCGNG.json","graph_json":"https://pith.science/api/pith-number/42Z7XKSJRHV6AA4B5FZ5JXCGNG/graph.json","events_json":"https://pith.science/api/pith-number/42Z7XKSJRHV6AA4B5FZ5JXCGNG/events.json","paper":"https://pith.science/paper/42Z7XKSJ"},"agent_actions":{"view_html":"https://pith.science/pith/42Z7XKSJRHV6AA4B5FZ5JXCGNG","download_json":"https://pith.science/pith/42Z7XKSJRHV6AA4B5FZ5JXCGNG.json","view_paper":"https://pith.science/paper/42Z7XKSJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1312.2167&json=true","fetch_graph":"https://pith.science/api/pith-number/42Z7XKSJRHV6AA4B5FZ5JXCGNG/graph.json","fetch_events":"https://pith.science/api/pith-number/42Z7XKSJRHV6AA4B5FZ5JXCGNG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/42Z7XKSJRHV6AA4B5FZ5JXCGNG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/42Z7XKSJRHV6AA4B5FZ5JXCGNG/action/storage_attestation","attest_author":"https://pith.science/pith/42Z7XKSJRHV6AA4B5FZ5JXCGNG/action/author_attestation","sign_citation":"https://pith.science/pith/42Z7XKSJRHV6AA4B5FZ5JXCGNG/action/citation_signature","submit_replication":"https://pith.science/pith/42Z7XKSJRHV6AA4B5FZ5JXCGNG/action/replication_record"}},"created_at":"2026-05-18T03:01:55.921779+00:00","updated_at":"2026-05-18T03:01:55.921779+00:00"}