{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1997:6YM3CY2UDPT7HXTAPEQXFGJ4ZC","short_pith_number":"pith:6YM3CY2U","schema_version":"1.0","canonical_sha256":"f619b163541be7f3de60792172993cc8aa6e3bdd27decb226f4fb7f9f92cb0b9","source":{"kind":"arxiv","id":"physics/9710038","version":1},"attestation_state":"computed","paper":{"title":"Angular Momentum, Quaternion, Octonion, and Lie-Super Algebra osp(1,2)","license":"","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Susumu Okubo","submitted_at":"1997-10-27T16:47:39Z","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 $su_q(2)$."},"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":"physics/9710038","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math-ph","submitted_at":"1997-10-27T16:47:39Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"ab5ebb7d186538822bfcacb272d82f0375444f24e7a97c6f284b21c710513ee4","abstract_canon_sha256":"f496e061e30cda6f2d97fa29c601182a187d5e43dd9a5aeb8b3a3f529f38e667"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:00:26.007833Z","signature_b64":"sLh2OHbMhMMBUH21zpbuj5TFGH2+efAqNdQWl0ZgSuR6cqEk0s4Sf6wr/EHUZI4Ap4oiLOGHynxHZcyA0VO4BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f619b163541be7f3de60792172993cc8aa6e3bdd27decb226f4fb7f9f92cb0b9","last_reissued_at":"2026-05-18T01:00:26.007197Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:00:26.007197Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Angular Momentum, Quaternion, Octonion, and Lie-Super Algebra osp(1,2)","license":"","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Susumu Okubo","submitted_at":"1997-10-27T16:47:39Z","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 $su_q(2)$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/9710038","kind":"arxiv","version":1},"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":"physics/9710038","created_at":"2026-05-18T01:00:26.007296+00:00"},{"alias_kind":"arxiv_version","alias_value":"physics/9710038v1","created_at":"2026-05-18T01:00:26.007296+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/9710038","created_at":"2026-05-18T01:00:26.007296+00:00"},{"alias_kind":"pith_short_12","alias_value":"6YM3CY2UDPT7","created_at":"2026-05-18T12:25:48.327863+00:00"},{"alias_kind":"pith_short_16","alias_value":"6YM3CY2UDPT7HXTA","created_at":"2026-05-18T12:25:48.327863+00:00"},{"alias_kind":"pith_short_8","alias_value":"6YM3CY2U","created_at":"2026-05-18T12:25:48.327863+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/6YM3CY2UDPT7HXTAPEQXFGJ4ZC","json":"https://pith.science/pith/6YM3CY2UDPT7HXTAPEQXFGJ4ZC.json","graph_json":"https://pith.science/api/pith-number/6YM3CY2UDPT7HXTAPEQXFGJ4ZC/graph.json","events_json":"https://pith.science/api/pith-number/6YM3CY2UDPT7HXTAPEQXFGJ4ZC/events.json","paper":"https://pith.science/paper/6YM3CY2U"},"agent_actions":{"view_html":"https://pith.science/pith/6YM3CY2UDPT7HXTAPEQXFGJ4ZC","download_json":"https://pith.science/pith/6YM3CY2UDPT7HXTAPEQXFGJ4ZC.json","view_paper":"https://pith.science/paper/6YM3CY2U","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=physics/9710038&json=true","fetch_graph":"https://pith.science/api/pith-number/6YM3CY2UDPT7HXTAPEQXFGJ4ZC/graph.json","fetch_events":"https://pith.science/api/pith-number/6YM3CY2UDPT7HXTAPEQXFGJ4ZC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6YM3CY2UDPT7HXTAPEQXFGJ4ZC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6YM3CY2UDPT7HXTAPEQXFGJ4ZC/action/storage_attestation","attest_author":"https://pith.science/pith/6YM3CY2UDPT7HXTAPEQXFGJ4ZC/action/author_attestation","sign_citation":"https://pith.science/pith/6YM3CY2UDPT7HXTAPEQXFGJ4ZC/action/citation_signature","submit_replication":"https://pith.science/pith/6YM3CY2UDPT7HXTAPEQXFGJ4ZC/action/replication_record"}},"created_at":"2026-05-18T01:00:26.007296+00:00","updated_at":"2026-05-18T01:00:26.007296+00:00"}