{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:ZUL4JLLZE7ENIQYRFYZJIK2DN5","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":"10375ebffe4f584f7d97bb03d2c8c35bdf8a2030a61a6c603624d49dea4aa068","cross_cats_sorted":["math.MP","math.QA","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-10-24T03:45:11Z","title_canon_sha256":"c7cf795d3778b357faac2f4c2a4e46d0447d14656ddf4730feabbdd333ec2907"},"schema_version":"1.0","source":{"id":"1210.6430","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.6430","created_at":"2026-05-18T03:05:28Z"},{"alias_kind":"arxiv_version","alias_value":"1210.6430v2","created_at":"2026-05-18T03:05:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.6430","created_at":"2026-05-18T03:05:28Z"},{"alias_kind":"pith_short_12","alias_value":"ZUL4JLLZE7EN","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"ZUL4JLLZE7ENIQYR","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"ZUL4JLLZ","created_at":"2026-05-18T12:27:30Z"}],"graph_snapshots":[{"event_id":"sha256:47a9a66238bf525beeebdc82a338f68fce7a5f08340d0867ebbf9503a366edcb","target":"graph","created_at":"2026-05-18T03:05:28Z","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":"Let A_q(g) be the quantized algebra of functions associated with simple Lie algebra g defined by generators obeying the so called RTT relations. We describe the embedding $A_q(B_2) \\hookrightarrow A_q(C_2)$ explicitly. As an application, a new solution of the Isaev-Kulish 3D reflection equation is constructed by combining the embedding with the previous solution for A_q(C_2) by the authors.","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":"2012-10-24T03:45:11Z","title":"A solution of the 3D reflection equation from quantized algebra of functions of type B"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.6430","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":"sha256:28eaea85c851651bba5046f8b56604378a865cfa302b3cce2b03bc1b71e09d69","target":"record","created_at":"2026-05-18T03:05:28Z","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":"10375ebffe4f584f7d97bb03d2c8c35bdf8a2030a61a6c603624d49dea4aa068","cross_cats_sorted":["math.MP","math.QA","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-10-24T03:45:11Z","title_canon_sha256":"c7cf795d3778b357faac2f4c2a4e46d0447d14656ddf4730feabbdd333ec2907"},"schema_version":"1.0","source":{"id":"1210.6430","kind":"arxiv","version":2}},"canonical_sha256":"cd17c4ad7927c8d443112e32942b436f7f046b6ade85e0eca49c5d39e3038b8a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cd17c4ad7927c8d443112e32942b436f7f046b6ade85e0eca49c5d39e3038b8a","first_computed_at":"2026-05-18T03:05:28.386915Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:05:28.386915Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BXRW0ItCXgDziYjpO40LdZjjJWPEt3EHohL0uxuf+BRR4f8+AKVTKpIvbzdItwr5BdMaU40kVhq9ISYSk8+1CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:05:28.387585Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.6430","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:28eaea85c851651bba5046f8b56604378a865cfa302b3cce2b03bc1b71e09d69","sha256:47a9a66238bf525beeebdc82a338f68fce7a5f08340d0867ebbf9503a366edcb"],"state_sha256":"92c26c05e8f1470be9e8b26011f724fba46ece44cb80f2b845d3fbc1dd20fc36"}