{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:ZYLLW2MQDQBJPGURQULV5ZXQPD","short_pith_number":"pith:ZYLLW2MQ","schema_version":"1.0","canonical_sha256":"ce16bb69901c02979a9185175ee6f078e67df16190aba86e6674e43fa031cf9f","source":{"kind":"arxiv","id":"1805.06739","version":2},"attestation_state":"computed","paper":{"title":"Octonions, exceptional Jordan algebra and the role of the group F_4 in particle physics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Ivan Todorov, Svetla Drenska","submitted_at":"2018-05-17T13:00:33Z","abstract_excerpt":"Normed division rings are reviewed in the more general framework of composition algebras that include the split (indefinite metric) case. The Jordan - von Neumann - Wigner classification of finite dimensional Jordan algebras is outlined with special attention to the 27 dimensional exceptional Jordan algebra J. The automorphism group F_4 of J and its maximal Borel - de Siebenthal subgroups are studied in detail and applied to the classification of fundamental fermions and gauge bosons. Their intersection in F_4 is demonstrated to coincide with the gauge group of the Standard Model of particle p"},"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":"1805.06739","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-05-17T13:00:33Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"4a437bb769fbed49e8a40e9be6c384592237185d9c47eec4d8311a64799739ef","abstract_canon_sha256":"f39194f712e5d9e1776d7485673619116115915d93bff88037d37834fc41d636"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:04:39.368210Z","signature_b64":"nPlHSoYRMpOXfzAXCgjGhyGhEqRhAIp2GxKkQrb8iANAcVzaXsD1kH9hroYpKk4SGrTJbdYcryTNLwu8hJR5Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ce16bb69901c02979a9185175ee6f078e67df16190aba86e6674e43fa031cf9f","last_reissued_at":"2026-05-18T00:04:39.367711Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:04:39.367711Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Octonions, exceptional Jordan algebra and the role of the group F_4 in particle physics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Ivan Todorov, Svetla Drenska","submitted_at":"2018-05-17T13:00:33Z","abstract_excerpt":"Normed division rings are reviewed in the more general framework of composition algebras that include the split (indefinite metric) case. The Jordan - von Neumann - Wigner classification of finite dimensional Jordan algebras is outlined with special attention to the 27 dimensional exceptional Jordan algebra J. The automorphism group F_4 of J and its maximal Borel - de Siebenthal subgroups are studied in detail and applied to the classification of fundamental fermions and gauge bosons. Their intersection in F_4 is demonstrated to coincide with the gauge group of the Standard Model of particle p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.06739","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1805.06739","created_at":"2026-05-18T00:04:39.367789+00:00"},{"alias_kind":"arxiv_version","alias_value":"1805.06739v2","created_at":"2026-05-18T00:04:39.367789+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.06739","created_at":"2026-05-18T00:04:39.367789+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZYLLW2MQDQBJ","created_at":"2026-05-18T12:33:07.085635+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZYLLW2MQDQBJPGUR","created_at":"2026-05-18T12:33:07.085635+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZYLLW2MQ","created_at":"2026-05-18T12:33:07.085635+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2504.16465","citing_title":"Octonions, complex structures and Standard Model fermions","ref_index":12,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ZYLLW2MQDQBJPGURQULV5ZXQPD","json":"https://pith.science/pith/ZYLLW2MQDQBJPGURQULV5ZXQPD.json","graph_json":"https://pith.science/api/pith-number/ZYLLW2MQDQBJPGURQULV5ZXQPD/graph.json","events_json":"https://pith.science/api/pith-number/ZYLLW2MQDQBJPGURQULV5ZXQPD/events.json","paper":"https://pith.science/paper/ZYLLW2MQ"},"agent_actions":{"view_html":"https://pith.science/pith/ZYLLW2MQDQBJPGURQULV5ZXQPD","download_json":"https://pith.science/pith/ZYLLW2MQDQBJPGURQULV5ZXQPD.json","view_paper":"https://pith.science/paper/ZYLLW2MQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1805.06739&json=true","fetch_graph":"https://pith.science/api/pith-number/ZYLLW2MQDQBJPGURQULV5ZXQPD/graph.json","fetch_events":"https://pith.science/api/pith-number/ZYLLW2MQDQBJPGURQULV5ZXQPD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZYLLW2MQDQBJPGURQULV5ZXQPD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZYLLW2MQDQBJPGURQULV5ZXQPD/action/storage_attestation","attest_author":"https://pith.science/pith/ZYLLW2MQDQBJPGURQULV5ZXQPD/action/author_attestation","sign_citation":"https://pith.science/pith/ZYLLW2MQDQBJPGURQULV5ZXQPD/action/citation_signature","submit_replication":"https://pith.science/pith/ZYLLW2MQDQBJPGURQULV5ZXQPD/action/replication_record"}},"created_at":"2026-05-18T00:04:39.367789+00:00","updated_at":"2026-05-18T00:04:39.367789+00:00"}