{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1997:6YM3CY2UDPT7HXTAPEQXFGJ4ZC","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":"f496e061e30cda6f2d97fa29c601182a187d5e43dd9a5aeb8b3a3f529f38e667","cross_cats_sorted":["math.MP"],"license":"","primary_cat":"math-ph","submitted_at":"1997-10-27T16:47:39Z","title_canon_sha256":"ab5ebb7d186538822bfcacb272d82f0375444f24e7a97c6f284b21c710513ee4"},"schema_version":"1.0","source":{"id":"physics/9710038","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"physics/9710038","created_at":"2026-05-18T01:00:26Z"},{"alias_kind":"arxiv_version","alias_value":"physics/9710038v1","created_at":"2026-05-18T01:00:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/9710038","created_at":"2026-05-18T01:00:26Z"},{"alias_kind":"pith_short_12","alias_value":"6YM3CY2UDPT7","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"6YM3CY2UDPT7HXTA","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"6YM3CY2U","created_at":"2026-05-18T12:25:48Z"}],"graph_snapshots":[{"event_id":"sha256:39d564157a207df7140ad53a81ba707306d7c5d39d75491808a6e82e328ac0dc","target":"graph","created_at":"2026-05-18T01:00:26Z","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 will derive both quaternion and octonion algebras as the Clebsch-Gordan algebras based upon the su(2) Lie algebra by considering angular momentum spaces of spin one and three. If we consider both spin 1 and 1/2 states, then the same method will lead to the Lie-super algebra osp(1,2). Also, the quantum generalization of the method is discussed on the basis of the quantum group $su_q(2)$.","authors_text":"Susumu Okubo","cross_cats":["math.MP"],"headline":"","license":"","primary_cat":"math-ph","submitted_at":"1997-10-27T16:47:39Z","title":"Angular Momentum, Quaternion, Octonion, and Lie-Super Algebra osp(1,2)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/9710038","kind":"arxiv","version":1},"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":"sha256:9306e033d09623a220b1f65a6d5b515eb304eb5803b41d8399c9f7875691bfe2","target":"record","created_at":"2026-05-18T01:00:26Z","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":"f496e061e30cda6f2d97fa29c601182a187d5e43dd9a5aeb8b3a3f529f38e667","cross_cats_sorted":["math.MP"],"license":"","primary_cat":"math-ph","submitted_at":"1997-10-27T16:47:39Z","title_canon_sha256":"ab5ebb7d186538822bfcacb272d82f0375444f24e7a97c6f284b21c710513ee4"},"schema_version":"1.0","source":{"id":"physics/9710038","kind":"arxiv","version":1}},"canonical_sha256":"f619b163541be7f3de60792172993cc8aa6e3bdd27decb226f4fb7f9f92cb0b9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f619b163541be7f3de60792172993cc8aa6e3bdd27decb226f4fb7f9f92cb0b9","first_computed_at":"2026-05-18T01:00:26.007197Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:00:26.007197Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sLh2OHbMhMMBUH21zpbuj5TFGH2+efAqNdQWl0ZgSuR6cqEk0s4Sf6wr/EHUZI4Ap4oiLOGHynxHZcyA0VO4BA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:00:26.007833Z","signed_message":"canonical_sha256_bytes"},"source_id":"physics/9710038","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9306e033d09623a220b1f65a6d5b515eb304eb5803b41d8399c9f7875691bfe2","sha256:39d564157a207df7140ad53a81ba707306d7c5d39d75491808a6e82e328ac0dc"],"state_sha256":"7df9dda845c803c52e52ec949e0c5d73eb797bcbd5dd3f07657646c441c09caf"}