{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1993:KOLJGQU4DAVZPACZJ7XXZS4ZIR","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":"9ad76b58ab66693b3487d7dd01cb2b12b009bb0cc5aa761dae1128353c6af605","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1993-10-28T16:12:03Z","title_canon_sha256":"285d07b5245c4b6a89f52cafcc5b61e92e71dc39316f0990e0031e3e8fe1b949"},"schema_version":"1.0","source":{"id":"hep-th/9310183","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9310183","created_at":"2026-05-18T04:34:19Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9310183v6","created_at":"2026-05-18T04:34:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9310183","created_at":"2026-05-18T04:34:19Z"},{"alias_kind":"pith_short_12","alias_value":"KOLJGQU4DAVZ","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"KOLJGQU4DAVZPACZ","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"KOLJGQU4","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:d9ae416820df7c278969bb45645a9411048172e180922cb611c926c963f81615","target":"graph","created_at":"2026-05-18T04:34:19Z","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":"Associated with the fundamental representation of a quantum algebra such as $U_q(A_1)$ or $U_q(A_2)$, there exist infinitely many gauge-equivalent $R$-matrices with different spectral-parameter dependences. It is shown how these can be obtained by examining the infinitely many possible gradations of the corresponding quantum affine algebras, such as $U_q(A_1^{(1)})$ and $U_q(A_2^{(1)})$, and explicit formulae are obtained for those two cases. Spectral-dependent similarity (gauge) transformations relate the $R$-matrices in different gradations. Nevertheless, the choice of gradation can be physi","authors_text":"Anthony J. Bracken, Gustav W. Delius, Mark D. Gould, Yao-Zhong Zhang","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1993-10-28T16:12:03Z","title":"Infinite Families of Gauge-Equivalent $R$-Matrices and Gradations of Quantized Affine Algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9310183","kind":"arxiv","version":6},"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:d6663a5dd9df7e3c52b6fa031fc96d358efee8588fbc05ed72d34fde9e22cd81","target":"record","created_at":"2026-05-18T04:34:19Z","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":"9ad76b58ab66693b3487d7dd01cb2b12b009bb0cc5aa761dae1128353c6af605","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1993-10-28T16:12:03Z","title_canon_sha256":"285d07b5245c4b6a89f52cafcc5b61e92e71dc39316f0990e0031e3e8fe1b949"},"schema_version":"1.0","source":{"id":"hep-th/9310183","kind":"arxiv","version":6}},"canonical_sha256":"539693429c182b9780594fef7ccb99444544447926c0bdab37789a2f3b2077fa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"539693429c182b9780594fef7ccb99444544447926c0bdab37789a2f3b2077fa","first_computed_at":"2026-05-18T04:34:19.846802Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:34:19.846802Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3n/2co7/PQNcc1VQxBRKLuARH8zJddB/O37yT8bL2MPgbpii/zW7Bq/dmo0/JszJwr/2rPW/F4249zXfNl1RBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:34:19.847252Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9310183","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d6663a5dd9df7e3c52b6fa031fc96d358efee8588fbc05ed72d34fde9e22cd81","sha256:d9ae416820df7c278969bb45645a9411048172e180922cb611c926c963f81615"],"state_sha256":"b92f00ef86f8d6adce7c44a778efe6b09c4474e66969af040abe7c281792fb1e"}