{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:CEEKCFQNHZ6KTT4XN5JFET5FJY","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":"ef0685af9138747c623497d4057da3f27329c627cf2246319aa5b66aefe537a1","cross_cats_sorted":["math.MP","math.QA","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-11-18T03:51:09Z","title_canon_sha256":"9959b6f49b9bf49bd3fc88460e97633a6fbcd35f841c3bcf020793e17ff29581"},"schema_version":"1.0","source":{"id":"1311.4258","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.4258","created_at":"2026-05-18T02:20:12Z"},{"alias_kind":"arxiv_version","alias_value":"1311.4258v3","created_at":"2026-05-18T02:20:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.4258","created_at":"2026-05-18T02:20:12Z"},{"alias_kind":"pith_short_12","alias_value":"CEEKCFQNHZ6K","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"CEEKCFQNHZ6KTT4X","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"CEEKCFQN","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:ecba0fb2ba3f5fe75c5a56b255bcf6d99fe7ce5110404a3251ea6d4bcccb25e0","target":"graph","created_at":"2026-05-18T02:20:12Z","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":"The intertwiner of the quantized coordinate ring $A_q(sl_3)$ is known to yield a solution to the tetrahedron equation. By evaluating their $n$-fold composition with special boundary vectors we generate series of solutions to the Yang-Baxter equation. Finding their origin in conventional quantum group theory is a clue to the link between two and three dimensional integrable systems. We identify them with the quantum $R$ matrices associated with the $q$-oscillator representations of $U_q(A^{(2)}_{2n})$, $U_q(C^{(1)}_n)$ and $U_q(D^{(2)}_{n+1})$.","authors_text":"Atsuo Kuniba, Masato Okado","cross_cats":["math.MP","math.QA","nlin.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-11-18T03:51:09Z","title":"Tetrahedron equation and quantum R matrices for $q$-oscillator representations of $U_q(A^{(2)}_{2n}), U_q(C^{(1)}_{n})$ and $U_q(D^{(2)}_{n+1})$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.4258","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:cbf75fdb09339d8057255a5d74f89b84d137a8867bad33e4af8e9a7f4cf4fafb","target":"record","created_at":"2026-05-18T02:20:12Z","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":"ef0685af9138747c623497d4057da3f27329c627cf2246319aa5b66aefe537a1","cross_cats_sorted":["math.MP","math.QA","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-11-18T03:51:09Z","title_canon_sha256":"9959b6f49b9bf49bd3fc88460e97633a6fbcd35f841c3bcf020793e17ff29581"},"schema_version":"1.0","source":{"id":"1311.4258","kind":"arxiv","version":3}},"canonical_sha256":"1108a1160d3e7ca9cf976f52524fa54e1fa32d8ac0def43fb29ff9e0cfae5ebf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1108a1160d3e7ca9cf976f52524fa54e1fa32d8ac0def43fb29ff9e0cfae5ebf","first_computed_at":"2026-05-18T02:20:12.745214Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:20:12.745214Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xs6ToChquaMwVhnaYeAJHe9g8EqeUzWC9GOqSuKWzNjhuDDi+OfILFydvXsauLb9vjWfvQtHiDbjYf2Mcty4CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:20:12.745749Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.4258","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cbf75fdb09339d8057255a5d74f89b84d137a8867bad33e4af8e9a7f4cf4fafb","sha256:ecba0fb2ba3f5fe75c5a56b255bcf6d99fe7ce5110404a3251ea6d4bcccb25e0"],"state_sha256":"55fa5af4b9cc2deba541d5c8c05eab6a527f17ce7e75745e574bd9e87cc22559"}