{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:BWHCPHTXZQLO2AKCUTG4C5MCVY","short_pith_number":"pith:BWHCPHTX","schema_version":"1.0","canonical_sha256":"0d8e279e77cc16ed0142a4cdc17582ae3b2012a98b4b6e11172d3f37801ee40d","source":{"kind":"arxiv","id":"1409.1986","version":2},"attestation_state":"computed","paper":{"title":"Tetrahedron Equation and Quantum $R$ Matrices for modular double of $U_q(D^{(2)}_{n+1}), U_q(A^{(2)}_{2n})$ and $U_q(C^{(1)}_{n})$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP","math.QA","nlin.SI"],"primary_cat":"math-ph","authors_text":"Atsuo Kuniba, Masato Okado, Sergey Sergeev","submitted_at":"2014-09-06T06:42:23Z","abstract_excerpt":"We introduce a homomorphism from the quantum affine algebras $U_q(D^{(2)}_{n+1}), U_q(A^{(2)}_{2n}), U_q(C^{(1)}_{n})$ to the $n$-fold tensor product of the $q$-oscillator algebra ${\\mathcal A}_q$. Their action commute with the solutions of the Yang-Baxter equation obtained by reducing the solutions of the tetrahedron equation associated with the modular and the Fock representations of ${\\mathcal A}_q$. In the former case, the commutativity is enhanced to the modular double of these quantum affine algebras."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1409.1986","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-09-06T06:42:23Z","cross_cats_sorted":["hep-th","math.MP","math.QA","nlin.SI"],"title_canon_sha256":"44cf9036956973d4c808dda129d8b2a190559c19e7c52a06ea2c30cf095ffa10","abstract_canon_sha256":"fc4af7b040337a5f9141d54a1bac2098246841a53099819b01fb88ca1c14b9c7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:25:55.945849Z","signature_b64":"QMtRHs1VIK3yqEoEXM8+5Ap+Rmmf5VtHV5WtmM0qUF4uK7mVCeeaTCL4+biMA71QzX+1oPb6XGQ5UWqVmXqZBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0d8e279e77cc16ed0142a4cdc17582ae3b2012a98b4b6e11172d3f37801ee40d","last_reissued_at":"2026-05-18T02:25:55.945382Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:25:55.945382Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Tetrahedron Equation and Quantum $R$ Matrices for modular double of $U_q(D^{(2)}_{n+1}), U_q(A^{(2)}_{2n})$ and $U_q(C^{(1)}_{n})$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP","math.QA","nlin.SI"],"primary_cat":"math-ph","authors_text":"Atsuo Kuniba, Masato Okado, Sergey Sergeev","submitted_at":"2014-09-06T06:42:23Z","abstract_excerpt":"We introduce a homomorphism from the quantum affine algebras $U_q(D^{(2)}_{n+1}), U_q(A^{(2)}_{2n}), U_q(C^{(1)}_{n})$ to the $n$-fold tensor product of the $q$-oscillator algebra ${\\mathcal A}_q$. Their action commute with the solutions of the Yang-Baxter equation obtained by reducing the solutions of the tetrahedron equation associated with the modular and the Fock representations of ${\\mathcal A}_q$. In the former case, the commutativity is enhanced to the modular double of these quantum affine algebras."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.1986","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1409.1986","created_at":"2026-05-18T02:25:55.945459+00:00"},{"alias_kind":"arxiv_version","alias_value":"1409.1986v2","created_at":"2026-05-18T02:25:55.945459+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.1986","created_at":"2026-05-18T02:25:55.945459+00:00"},{"alias_kind":"pith_short_12","alias_value":"BWHCPHTXZQLO","created_at":"2026-05-18T12:28:22.404517+00:00"},{"alias_kind":"pith_short_16","alias_value":"BWHCPHTXZQLO2AKC","created_at":"2026-05-18T12:28:22.404517+00:00"},{"alias_kind":"pith_short_8","alias_value":"BWHCPHTX","created_at":"2026-05-18T12:28:22.404517+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/BWHCPHTXZQLO2AKCUTG4C5MCVY","json":"https://pith.science/pith/BWHCPHTXZQLO2AKCUTG4C5MCVY.json","graph_json":"https://pith.science/api/pith-number/BWHCPHTXZQLO2AKCUTG4C5MCVY/graph.json","events_json":"https://pith.science/api/pith-number/BWHCPHTXZQLO2AKCUTG4C5MCVY/events.json","paper":"https://pith.science/paper/BWHCPHTX"},"agent_actions":{"view_html":"https://pith.science/pith/BWHCPHTXZQLO2AKCUTG4C5MCVY","download_json":"https://pith.science/pith/BWHCPHTXZQLO2AKCUTG4C5MCVY.json","view_paper":"https://pith.science/paper/BWHCPHTX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1409.1986&json=true","fetch_graph":"https://pith.science/api/pith-number/BWHCPHTXZQLO2AKCUTG4C5MCVY/graph.json","fetch_events":"https://pith.science/api/pith-number/BWHCPHTXZQLO2AKCUTG4C5MCVY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BWHCPHTXZQLO2AKCUTG4C5MCVY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BWHCPHTXZQLO2AKCUTG4C5MCVY/action/storage_attestation","attest_author":"https://pith.science/pith/BWHCPHTXZQLO2AKCUTG4C5MCVY/action/author_attestation","sign_citation":"https://pith.science/pith/BWHCPHTXZQLO2AKCUTG4C5MCVY/action/citation_signature","submit_replication":"https://pith.science/pith/BWHCPHTXZQLO2AKCUTG4C5MCVY/action/replication_record"}},"created_at":"2026-05-18T02:25:55.945459+00:00","updated_at":"2026-05-18T02:25:55.945459+00:00"}