{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:3CZVXF3WGYZO432ABK3QRX73VT","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":"bc89d12a2608283477fd41d630608ae13563a68875dd65da642b33d27fbfe47e","cross_cats_sorted":["math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2014-11-11T20:54:30Z","title_canon_sha256":"1c9e192d41a36ced9a02ebc29addf78808d78838264bea1216474395818d0d80"},"schema_version":"1.0","source":{"id":"1411.2959","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.2959","created_at":"2026-05-18T02:37:52Z"},{"alias_kind":"arxiv_version","alias_value":"1411.2959v1","created_at":"2026-05-18T02:37:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.2959","created_at":"2026-05-18T02:37:52Z"},{"alias_kind":"pith_short_12","alias_value":"3CZVXF3WGYZO","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"3CZVXF3WGYZO432A","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"3CZVXF3W","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:3b585afa65526f482538a1812cf0e5b2c4e620333ea97df9c5ea4f2be117b357","target":"graph","created_at":"2026-05-18T02:37:52Z","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 study the Frobenius-Lusztig kernel for quantum affine algebras at root of unity of small orders that are usually excluded in literature. These cases are somewhat degenerate and we find that the kernel is in fact mostly related to different affine Lie algebras, some even of larger rank, that exceptionally sit inside the quantum affine algebra. This continues the authors study for quantum groups associated to finite-dimensional Lie algebras in [Len14c].","authors_text":"Simon D. Lentner","cross_cats":["math.RA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2014-11-11T20:54:30Z","title":"Quantum affine algebras at small root of unity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.2959","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:e342d48397e3f29c025c89a3fd66ee13be0f6b7ad97885aebcd23740f6977e45","target":"record","created_at":"2026-05-18T02:37:52Z","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":"bc89d12a2608283477fd41d630608ae13563a68875dd65da642b33d27fbfe47e","cross_cats_sorted":["math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2014-11-11T20:54:30Z","title_canon_sha256":"1c9e192d41a36ced9a02ebc29addf78808d78838264bea1216474395818d0d80"},"schema_version":"1.0","source":{"id":"1411.2959","kind":"arxiv","version":1}},"canonical_sha256":"d8b35b97763632ee6f400ab708dffbacd451e0d846c85b0e6b2317e302201315","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d8b35b97763632ee6f400ab708dffbacd451e0d846c85b0e6b2317e302201315","first_computed_at":"2026-05-18T02:37:52.581890Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:37:52.581890Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iE2fytvY0ANk58alCNUsliskj4t2i9GdmCabWqEX1l74CbdpPnGgAWEOi8Jqjp9lh9DhYDpJcv1sLZOaVAy4Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:37:52.582398Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.2959","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e342d48397e3f29c025c89a3fd66ee13be0f6b7ad97885aebcd23740f6977e45","sha256:3b585afa65526f482538a1812cf0e5b2c4e620333ea97df9c5ea4f2be117b357"],"state_sha256":"30f3492a94acde806117fdcbf7532f74b3a0d8f305dd30a76abbef2b3c4941d7"}