{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:RXXMQY33KCX5GOJBGHZSS4M4ZD","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":"55c153e45e68a0a587024283d456020c8388ba220068d68fdd068f7c7d872a8d","cross_cats_sorted":["math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-01-26T08:57:40Z","title_canon_sha256":"54c14c26e9516e03353adfaf63c6da5089fe4e09c5f3d3dea2beae48a5b7cc4c"},"schema_version":"1.0","source":{"id":"1801.08719","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.08719","created_at":"2026-05-18T00:03:24Z"},{"alias_kind":"arxiv_version","alias_value":"1801.08719v1","created_at":"2026-05-18T00:03:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.08719","created_at":"2026-05-18T00:03:24Z"},{"alias_kind":"pith_short_12","alias_value":"RXXMQY33KCX5","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"RXXMQY33KCX5GOJB","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"RXXMQY33","created_at":"2026-05-18T12:32:50Z"}],"graph_snapshots":[{"event_id":"sha256:87452c824469c56432895ac6e773f2b570357a6917f825a4d206c7a89974fab6","target":"graph","created_at":"2026-05-18T00:03:24Z","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 $G$ be a locally compact totally disconnected topological group. Under a necessary mild assumption, we show that the irreducible unitary representations of $G$ are uniformly admissible if and only if the irreducible smooth representations of $G$ are uniformly admissible. We also show that the latter property is inherited by finite-index subgroups and overgroups of $G$.","authors_text":"Thomas R\\\"ud, Uriya A. First","cross_cats":["math.GR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-01-26T08:57:40Z","title":"On Uniform Admissibility of Unitary and Smooth Representations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.08719","kind":"arxiv","version":1},"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":"sha256:29ed145cc121889c212754b2f18b3a8e9a9acee0fd67520eabf68a35d6875fb4","target":"record","created_at":"2026-05-18T00:03:24Z","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":"55c153e45e68a0a587024283d456020c8388ba220068d68fdd068f7c7d872a8d","cross_cats_sorted":["math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-01-26T08:57:40Z","title_canon_sha256":"54c14c26e9516e03353adfaf63c6da5089fe4e09c5f3d3dea2beae48a5b7cc4c"},"schema_version":"1.0","source":{"id":"1801.08719","kind":"arxiv","version":1}},"canonical_sha256":"8deec8637b50afd3392131f329719cc8e0446248abb8145910fb7f25128dceae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8deec8637b50afd3392131f329719cc8e0446248abb8145910fb7f25128dceae","first_computed_at":"2026-05-18T00:03:24.711820Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:03:24.711820Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PYGFKmUuGudBIFsIqoLfekgaucuehhfPM2tXdiKffB23fK+8VpUnTO/Xyl7FN5m2ymghqS7rB+AW+NscIWKnDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:03:24.712349Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.08719","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:29ed145cc121889c212754b2f18b3a8e9a9acee0fd67520eabf68a35d6875fb4","sha256:87452c824469c56432895ac6e773f2b570357a6917f825a4d206c7a89974fab6"],"state_sha256":"32882b66dddd2eeb8ac29e71828f6f313fca7147ba596d6a49ad2b3239989cd2"}