{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:GVMPVFQS66EDKUXRI7DN3PQM4T","short_pith_number":"pith:GVMPVFQS","schema_version":"1.0","canonical_sha256":"3558fa9612f7883552f147c6ddbe0ce4cc1989bf1872742e8452cf5b428a8b9f","source":{"kind":"arxiv","id":"1611.08264","version":2},"attestation_state":"computed","paper":{"title":"Invariable generation of Thompson groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Gili Golan, Kate Juschenko, Tsachik Gelander","submitted_at":"2016-11-24T17:24:35Z","abstract_excerpt":"A subset $S$ of a group $G$ invariably generates $G$ if $G= \\langle s^{g(s)} | s \\in S\\rangle$ for every choice of $g(s) \\in G,s \\in S$. We say that a group $G$ is invariably generated if such $S$ exists, or equivalently if $S=G$ invariably generates $G$. In this paper, we study invariable generation of Thompson groups. We show that Thompson group $F$ is invariable generated by a finite set, whereas Thompson groups $T$ and $V$ are not invariable generated."},"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":"1611.08264","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2016-11-24T17:24:35Z","cross_cats_sorted":[],"title_canon_sha256":"2b0178ef2d74fd1ccb0f0f772f794d9546b553dfeefc34e170764b3e734e2e49","abstract_canon_sha256":"8d4d7cc75c94a264b20625799ba0a675c8f6ad453794b1221e1cf6f45a9e2c0f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:56:30.225815Z","signature_b64":"9LJflwhaYOH4NI9ZHt2O9+OTIVzbVCPsP+PUZqIITFa2KVTKJZKNpAeipL7Wrc8LfIqloYBLwuDZb9WfiA0mDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3558fa9612f7883552f147c6ddbe0ce4cc1989bf1872742e8452cf5b428a8b9f","last_reissued_at":"2026-05-18T00:56:30.225080Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:56:30.225080Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Invariable generation of Thompson groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Gili Golan, Kate Juschenko, Tsachik Gelander","submitted_at":"2016-11-24T17:24:35Z","abstract_excerpt":"A subset $S$ of a group $G$ invariably generates $G$ if $G= \\langle s^{g(s)} | s \\in S\\rangle$ for every choice of $g(s) \\in G,s \\in S$. We say that a group $G$ is invariably generated if such $S$ exists, or equivalently if $S=G$ invariably generates $G$. In this paper, we study invariable generation of Thompson groups. We show that Thompson group $F$ is invariable generated by a finite set, whereas Thompson groups $T$ and $V$ are not invariable generated."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.08264","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":"1611.08264","created_at":"2026-05-18T00:56:30.225194+00:00"},{"alias_kind":"arxiv_version","alias_value":"1611.08264v2","created_at":"2026-05-18T00:56:30.225194+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.08264","created_at":"2026-05-18T00:56:30.225194+00:00"},{"alias_kind":"pith_short_12","alias_value":"GVMPVFQS66ED","created_at":"2026-05-18T12:30:19.053100+00:00"},{"alias_kind":"pith_short_16","alias_value":"GVMPVFQS66EDKUXR","created_at":"2026-05-18T12:30:19.053100+00:00"},{"alias_kind":"pith_short_8","alias_value":"GVMPVFQS","created_at":"2026-05-18T12:30:19.053100+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/GVMPVFQS66EDKUXRI7DN3PQM4T","json":"https://pith.science/pith/GVMPVFQS66EDKUXRI7DN3PQM4T.json","graph_json":"https://pith.science/api/pith-number/GVMPVFQS66EDKUXRI7DN3PQM4T/graph.json","events_json":"https://pith.science/api/pith-number/GVMPVFQS66EDKUXRI7DN3PQM4T/events.json","paper":"https://pith.science/paper/GVMPVFQS"},"agent_actions":{"view_html":"https://pith.science/pith/GVMPVFQS66EDKUXRI7DN3PQM4T","download_json":"https://pith.science/pith/GVMPVFQS66EDKUXRI7DN3PQM4T.json","view_paper":"https://pith.science/paper/GVMPVFQS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1611.08264&json=true","fetch_graph":"https://pith.science/api/pith-number/GVMPVFQS66EDKUXRI7DN3PQM4T/graph.json","fetch_events":"https://pith.science/api/pith-number/GVMPVFQS66EDKUXRI7DN3PQM4T/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GVMPVFQS66EDKUXRI7DN3PQM4T/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GVMPVFQS66EDKUXRI7DN3PQM4T/action/storage_attestation","attest_author":"https://pith.science/pith/GVMPVFQS66EDKUXRI7DN3PQM4T/action/author_attestation","sign_citation":"https://pith.science/pith/GVMPVFQS66EDKUXRI7DN3PQM4T/action/citation_signature","submit_replication":"https://pith.science/pith/GVMPVFQS66EDKUXRI7DN3PQM4T/action/replication_record"}},"created_at":"2026-05-18T00:56:30.225194+00:00","updated_at":"2026-05-18T00:56:30.225194+00:00"}