{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:7LN7RR62H4LHUECF6OKTISGNNU","short_pith_number":"pith:7LN7RR62","schema_version":"1.0","canonical_sha256":"fadbf8c7da3f167a1045f3953448cd6d1fbdd4e3a571be352579c5c3b060f71c","source":{"kind":"arxiv","id":"1401.5142","version":2},"attestation_state":"computed","paper":{"title":"Nonarchimedean superrigidity of solvable S-arithmetic groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.GR","authors_text":"Daniel Studenmund, Dave Witte Morris","submitted_at":"2014-01-21T01:35:15Z","abstract_excerpt":"Let Gamma be an S-arithmetic subgroup of a solvable algebraic group G over an algebraic number field F, such that the finite set S contains at least one place that is nonarchimedean. We construct a certain group H, such that if L is any local field and alpha is any homomorphism from Gamma to GL(n,L), then alpha virtually extends (modulo a bounded error) to a continuous homomorphism defined on some finite-index subgroup of H. In the special case where F is the field of rational numbers, the real-rank of G is 0, and Gamma is Zariski-dense in G, we may let H = G_S.\n  We also point out a generaliz"},"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":"1401.5142","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2014-01-21T01:35:15Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"669c0e186c1d8a0738a4370ccf9716a79021bc36395b8a5a3603041a4106a4a3","abstract_canon_sha256":"4780067e81fb39ae4e0a4d9e88f2c7835b71485d883ad6ad8e76c41b9f4fba3c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:49:38.785583Z","signature_b64":"5mIr7LDovBobp9mVGhpCUkXDNKa3Q9xgY/yKZt+eS0YzfQmDl4hvFcBUaOnzKJDIeOg5OTCBj9Bkzh/JkR8kAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fadbf8c7da3f167a1045f3953448cd6d1fbdd4e3a571be352579c5c3b060f71c","last_reissued_at":"2026-05-18T02:49:38.785211Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:49:38.785211Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Nonarchimedean superrigidity of solvable S-arithmetic groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.GR","authors_text":"Daniel Studenmund, Dave Witte Morris","submitted_at":"2014-01-21T01:35:15Z","abstract_excerpt":"Let Gamma be an S-arithmetic subgroup of a solvable algebraic group G over an algebraic number field F, such that the finite set S contains at least one place that is nonarchimedean. We construct a certain group H, such that if L is any local field and alpha is any homomorphism from Gamma to GL(n,L), then alpha virtually extends (modulo a bounded error) to a continuous homomorphism defined on some finite-index subgroup of H. In the special case where F is the field of rational numbers, the real-rank of G is 0, and Gamma is Zariski-dense in G, we may let H = G_S.\n  We also point out a generaliz"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.5142","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":"1401.5142","created_at":"2026-05-18T02:49:38.785267+00:00"},{"alias_kind":"arxiv_version","alias_value":"1401.5142v2","created_at":"2026-05-18T02:49:38.785267+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.5142","created_at":"2026-05-18T02:49:38.785267+00:00"},{"alias_kind":"pith_short_12","alias_value":"7LN7RR62H4LH","created_at":"2026-05-18T12:28:19.803747+00:00"},{"alias_kind":"pith_short_16","alias_value":"7LN7RR62H4LHUECF","created_at":"2026-05-18T12:28:19.803747+00:00"},{"alias_kind":"pith_short_8","alias_value":"7LN7RR62","created_at":"2026-05-18T12:28:19.803747+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/7LN7RR62H4LHUECF6OKTISGNNU","json":"https://pith.science/pith/7LN7RR62H4LHUECF6OKTISGNNU.json","graph_json":"https://pith.science/api/pith-number/7LN7RR62H4LHUECF6OKTISGNNU/graph.json","events_json":"https://pith.science/api/pith-number/7LN7RR62H4LHUECF6OKTISGNNU/events.json","paper":"https://pith.science/paper/7LN7RR62"},"agent_actions":{"view_html":"https://pith.science/pith/7LN7RR62H4LHUECF6OKTISGNNU","download_json":"https://pith.science/pith/7LN7RR62H4LHUECF6OKTISGNNU.json","view_paper":"https://pith.science/paper/7LN7RR62","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1401.5142&json=true","fetch_graph":"https://pith.science/api/pith-number/7LN7RR62H4LHUECF6OKTISGNNU/graph.json","fetch_events":"https://pith.science/api/pith-number/7LN7RR62H4LHUECF6OKTISGNNU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7LN7RR62H4LHUECF6OKTISGNNU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7LN7RR62H4LHUECF6OKTISGNNU/action/storage_attestation","attest_author":"https://pith.science/pith/7LN7RR62H4LHUECF6OKTISGNNU/action/author_attestation","sign_citation":"https://pith.science/pith/7LN7RR62H4LHUECF6OKTISGNNU/action/citation_signature","submit_replication":"https://pith.science/pith/7LN7RR62H4LHUECF6OKTISGNNU/action/replication_record"}},"created_at":"2026-05-18T02:49:38.785267+00:00","updated_at":"2026-05-18T02:49:38.785267+00:00"}