{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:7LN7RR62H4LHUECF6OKTISGNNU","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"4780067e81fb39ae4e0a4d9e88f2c7835b71485d883ad6ad8e76c41b9f4fba3c","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2014-01-21T01:35:15Z","title_canon_sha256":"669c0e186c1d8a0738a4370ccf9716a79021bc36395b8a5a3603041a4106a4a3"},"schema_version":"1.0","source":{"id":"1401.5142","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.5142","created_at":"2026-05-18T02:49:38Z"},{"alias_kind":"arxiv_version","alias_value":"1401.5142v2","created_at":"2026-05-18T02:49:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.5142","created_at":"2026-05-18T02:49:38Z"},{"alias_kind":"pith_short_12","alias_value":"7LN7RR62H4LH","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"7LN7RR62H4LHUECF","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"7LN7RR62","created_at":"2026-05-18T12:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:566faed0fe0f94dd6b06ea256acac43133feb98399eda28bd51af01fcfc1a7d2","target":"graph","created_at":"2026-05-18T02:49:38Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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","authors_text":"Daniel Studenmund, Dave Witte Morris","cross_cats":["math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2014-01-21T01:35:15Z","title":"Nonarchimedean superrigidity of solvable S-arithmetic groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.5142","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:abf69c614346cc2172af641dc421b32ac5a431072947772c0949605f26112a47","target":"record","created_at":"2026-05-18T02:49:38Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"4780067e81fb39ae4e0a4d9e88f2c7835b71485d883ad6ad8e76c41b9f4fba3c","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2014-01-21T01:35:15Z","title_canon_sha256":"669c0e186c1d8a0738a4370ccf9716a79021bc36395b8a5a3603041a4106a4a3"},"schema_version":"1.0","source":{"id":"1401.5142","kind":"arxiv","version":2}},"canonical_sha256":"fadbf8c7da3f167a1045f3953448cd6d1fbdd4e3a571be352579c5c3b060f71c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fadbf8c7da3f167a1045f3953448cd6d1fbdd4e3a571be352579c5c3b060f71c","first_computed_at":"2026-05-18T02:49:38.785211Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:49:38.785211Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5mIr7LDovBobp9mVGhpCUkXDNKa3Q9xgY/yKZt+eS0YzfQmDl4hvFcBUaOnzKJDIeOg5OTCBj9Bkzh/JkR8kAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:49:38.785583Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.5142","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:abf69c614346cc2172af641dc421b32ac5a431072947772c0949605f26112a47","sha256:566faed0fe0f94dd6b06ea256acac43133feb98399eda28bd51af01fcfc1a7d2"],"state_sha256":"445115124e6b798c83e336a7ab8450dc82f6ab6ec9cb226dafb60a413d475b98"}