{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:SUFYXIP7E5AEAUXGTP75RK74GV","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":"b5c1655a3a82a3c448d78df90af09e1c03caddc0aee19ae5896b3be277e1e359","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2018-04-11T13:14:09Z","title_canon_sha256":"7179af943dcea8324aa4466909239c577e967346a8def78a33c584246bdf5ddf"},"schema_version":"1.0","source":{"id":"1804.03969","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.03969","created_at":"2026-05-17T23:55:34Z"},{"alias_kind":"arxiv_version","alias_value":"1804.03969v3","created_at":"2026-05-17T23:55:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.03969","created_at":"2026-05-17T23:55:34Z"},{"alias_kind":"pith_short_12","alias_value":"SUFYXIP7E5AE","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_16","alias_value":"SUFYXIP7E5AEAUXG","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_8","alias_value":"SUFYXIP7","created_at":"2026-05-18T12:32:53Z"}],"graph_snapshots":[{"event_id":"sha256:af4581ffdeae0b3a59ce6e06f040d994e9764970e07506e03fc227abce26f6b8","target":"graph","created_at":"2026-05-17T23:55:34Z","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":"We give a partial solution to a long-standing open problem in the theory of quantum groups, namely we prove that all finite-dimensional representations of a wide class of locally compact quantum groups factor through matrix quantum groups (Admissibility Conjecture for quantum group representations). We use this to study Kazhdan's Property (T) for quantum groups with non-trivial scaling group, strengthening and generalising some of the earlier results obtained by Fima, Kyed and So{\\l}tan, Chen and Ng, Daws, Skalski and Viselter, and Brannan and Kerr. Our main results are:\n  (i) All finite-dimen","authors_text":"Biswarup Das, Matthew Daws, Pekka Salmi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2018-04-11T13:14:09Z","title":"Admissibility Conjecture and Kazhdan's Property (T) for quantum groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.03969","kind":"arxiv","version":3},"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":"sha256:82fababd6dfb2f4a201c22894e3c5877405e638279b098735bc783e4a0fd2a40","target":"record","created_at":"2026-05-17T23:55:34Z","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":"b5c1655a3a82a3c448d78df90af09e1c03caddc0aee19ae5896b3be277e1e359","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2018-04-11T13:14:09Z","title_canon_sha256":"7179af943dcea8324aa4466909239c577e967346a8def78a33c584246bdf5ddf"},"schema_version":"1.0","source":{"id":"1804.03969","kind":"arxiv","version":3}},"canonical_sha256":"950b8ba1ff27404052e69bffd8abfc3565101ebd4ce10067c3298c2234ef3c57","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"950b8ba1ff27404052e69bffd8abfc3565101ebd4ce10067c3298c2234ef3c57","first_computed_at":"2026-05-17T23:55:34.493021Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:55:34.493021Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"caDlHBQOeQFmdG11VnVbyW2kOnk3rhOXwbSVeSUxtqBxaWHBSKDS8O7WLgaQ76d1VLrjZTNr9Mdaj0BTz2EOBQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:55:34.493496Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.03969","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:82fababd6dfb2f4a201c22894e3c5877405e638279b098735bc783e4a0fd2a40","sha256:af4581ffdeae0b3a59ce6e06f040d994e9764970e07506e03fc227abce26f6b8"],"state_sha256":"b91a511c83909b3e8fa2b5ed8f209adb7c9ab2e47409549a2ccd2e41a77489a7"}