{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:EAAQOXSZNKZUZADFQZYOQN4QIM","short_pith_number":"pith:EAAQOXSZ","canonical_record":{"source":{"id":"1803.01586","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"nlin.SI","submitted_at":"2018-03-05T10:15:54Z","cross_cats_sorted":["math-ph","math.MP","math.QA"],"title_canon_sha256":"e47a5f9ed59c65db978026eb6987c15cc18a1d9884d73e84404675a78a5d4f93","abstract_canon_sha256":"1d8591e3dfcfafb9b99fb15277ea041854e24f09b7c7ed9a1136c9cccec961f9"},"schema_version":"1.0"},"canonical_sha256":"2001075e596ab34c80658670e8379043109466f8acc0e60e919298301c7f1040","source":{"kind":"arxiv","id":"1803.01586","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.01586","created_at":"2026-05-18T00:11:32Z"},{"alias_kind":"arxiv_version","alias_value":"1803.01586v2","created_at":"2026-05-18T00:11:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.01586","created_at":"2026-05-18T00:11:32Z"},{"alias_kind":"pith_short_12","alias_value":"EAAQOXSZNKZU","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"EAAQOXSZNKZUZADF","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"EAAQOXSZ","created_at":"2026-05-18T12:32:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:EAAQOXSZNKZUZADFQZYOQN4QIM","target":"record","payload":{"canonical_record":{"source":{"id":"1803.01586","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"nlin.SI","submitted_at":"2018-03-05T10:15:54Z","cross_cats_sorted":["math-ph","math.MP","math.QA"],"title_canon_sha256":"e47a5f9ed59c65db978026eb6987c15cc18a1d9884d73e84404675a78a5d4f93","abstract_canon_sha256":"1d8591e3dfcfafb9b99fb15277ea041854e24f09b7c7ed9a1136c9cccec961f9"},"schema_version":"1.0"},"canonical_sha256":"2001075e596ab34c80658670e8379043109466f8acc0e60e919298301c7f1040","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:11:32.179178Z","signature_b64":"oB2OdmQ9tED2+OXvW+RjwqzzXF775AYeCOb/6Q3DErUXOh8KTtz/RwW4jHUXotmALP3Yxj1e3FNmWrReCXHnCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2001075e596ab34c80658670e8379043109466f8acc0e60e919298301c7f1040","last_reissued_at":"2026-05-18T00:11:32.178525Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:11:32.178525Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1803.01586","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:11:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P6nKCrqOOS8+cX8IpoO2twGKFSiISP4XI2G/1TaMmryH68M/M4nJTqEzbWX1k2ZpGChQGaOPwcZSmmKkE8fQCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T18:30:15.878476Z"},"content_sha256":"598c47bf49cefe1d372b8b88e79bfc72493b5a51246aade11d66b7cf3280745a","schema_version":"1.0","event_id":"sha256:598c47bf49cefe1d372b8b88e79bfc72493b5a51246aade11d66b7cf3280745a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:EAAQOXSZNKZUZADFQZYOQN4QIM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Tetrahedron Equation and Quantum $R$ Matrices for $q$-Oscillator Representations Mixing Particles and Holes","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":["math-ph","math.MP","math.QA"],"primary_cat":"nlin.SI","authors_text":"Atsuo Kuniba","submitted_at":"2018-03-05T10:15:54Z","abstract_excerpt":"We construct $2^n+1$ solutions to the Yang-Baxter equation associated with the quantum affine algebras $U_q\\big(A^{(1)}_{n-1}\\big)$, $U_q\\big(A^{(2)}_{2n}\\big)$, $U_q\\big(C^{(1)}_n\\big)$ and $U_q\\big(D^{(2)}_{n+1}\\big)$. They act on the Fock spaces of arbitrary mixture of particles and holes in general. Our method is based on new reductions of the tetrahedron equation and an embedding of the quantum affine algebras into $n$ copies of the $q$-oscillator algebra which admits an automorphism interchanging particles and holes."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.01586","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:11:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9O0XiKwuUtvF2VK3SviG9mFF/b8xDbf7d/5Pqnc+EnHmndDoelD6QhiglWmj/kGwJrLFMto5UCzckdyMLFdWDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T18:30:15.878894Z"},"content_sha256":"3a29c18360d9944b587a9f705d4d75e5a24e136a5640a74a1af3c938ce600e98","schema_version":"1.0","event_id":"sha256:3a29c18360d9944b587a9f705d4d75e5a24e136a5640a74a1af3c938ce600e98"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EAAQOXSZNKZUZADFQZYOQN4QIM/bundle.json","state_url":"https://pith.science/pith/EAAQOXSZNKZUZADFQZYOQN4QIM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EAAQOXSZNKZUZADFQZYOQN4QIM/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-08T18:30:15Z","links":{"resolver":"https://pith.science/pith/EAAQOXSZNKZUZADFQZYOQN4QIM","bundle":"https://pith.science/pith/EAAQOXSZNKZUZADFQZYOQN4QIM/bundle.json","state":"https://pith.science/pith/EAAQOXSZNKZUZADFQZYOQN4QIM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EAAQOXSZNKZUZADFQZYOQN4QIM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:EAAQOXSZNKZUZADFQZYOQN4QIM","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":"1d8591e3dfcfafb9b99fb15277ea041854e24f09b7c7ed9a1136c9cccec961f9","cross_cats_sorted":["math-ph","math.MP","math.QA"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"nlin.SI","submitted_at":"2018-03-05T10:15:54Z","title_canon_sha256":"e47a5f9ed59c65db978026eb6987c15cc18a1d9884d73e84404675a78a5d4f93"},"schema_version":"1.0","source":{"id":"1803.01586","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.01586","created_at":"2026-05-18T00:11:32Z"},{"alias_kind":"arxiv_version","alias_value":"1803.01586v2","created_at":"2026-05-18T00:11:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.01586","created_at":"2026-05-18T00:11:32Z"},{"alias_kind":"pith_short_12","alias_value":"EAAQOXSZNKZU","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"EAAQOXSZNKZUZADF","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"EAAQOXSZ","created_at":"2026-05-18T12:32:22Z"}],"graph_snapshots":[{"event_id":"sha256:3a29c18360d9944b587a9f705d4d75e5a24e136a5640a74a1af3c938ce600e98","target":"graph","created_at":"2026-05-18T00:11:32Z","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 construct $2^n+1$ solutions to the Yang-Baxter equation associated with the quantum affine algebras $U_q\\big(A^{(1)}_{n-1}\\big)$, $U_q\\big(A^{(2)}_{2n}\\big)$, $U_q\\big(C^{(1)}_n\\big)$ and $U_q\\big(D^{(2)}_{n+1}\\big)$. They act on the Fock spaces of arbitrary mixture of particles and holes in general. Our method is based on new reductions of the tetrahedron equation and an embedding of the quantum affine algebras into $n$ copies of the $q$-oscillator algebra which admits an automorphism interchanging particles and holes.","authors_text":"Atsuo Kuniba","cross_cats":["math-ph","math.MP","math.QA"],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"nlin.SI","submitted_at":"2018-03-05T10:15:54Z","title":"Tetrahedron Equation and Quantum $R$ Matrices for $q$-Oscillator Representations Mixing Particles and Holes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.01586","kind":"arxiv","version":2},"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":"sha256:598c47bf49cefe1d372b8b88e79bfc72493b5a51246aade11d66b7cf3280745a","target":"record","created_at":"2026-05-18T00:11:32Z","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":"1d8591e3dfcfafb9b99fb15277ea041854e24f09b7c7ed9a1136c9cccec961f9","cross_cats_sorted":["math-ph","math.MP","math.QA"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"nlin.SI","submitted_at":"2018-03-05T10:15:54Z","title_canon_sha256":"e47a5f9ed59c65db978026eb6987c15cc18a1d9884d73e84404675a78a5d4f93"},"schema_version":"1.0","source":{"id":"1803.01586","kind":"arxiv","version":2}},"canonical_sha256":"2001075e596ab34c80658670e8379043109466f8acc0e60e919298301c7f1040","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2001075e596ab34c80658670e8379043109466f8acc0e60e919298301c7f1040","first_computed_at":"2026-05-18T00:11:32.178525Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:11:32.178525Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oB2OdmQ9tED2+OXvW+RjwqzzXF775AYeCOb/6Q3DErUXOh8KTtz/RwW4jHUXotmALP3Yxj1e3FNmWrReCXHnCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:11:32.179178Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.01586","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:598c47bf49cefe1d372b8b88e79bfc72493b5a51246aade11d66b7cf3280745a","sha256:3a29c18360d9944b587a9f705d4d75e5a24e136a5640a74a1af3c938ce600e98"],"state_sha256":"b8724898f6c8fc2d51ffef523fd4ca1559816563cd2c5c9bf1d9d901d3e0ae5d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"V6Lu/oQ+fHF/ttu6jsNAXz/OZKrTMFUZtDtJzLZIaq6lD0+o0eGxFd/gfisCRhQT+jCaQbZffn/3THw2BXa+DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T18:30:15.881564Z","bundle_sha256":"31e65efe08c55bc392f2b85a94966517a5e0773bdeea31bb1d9494baa5fd3794"}}