{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:YQNWW4KQ73GSNJHDK5MEM6YOTL","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":"d4c53562449678641bb6bc63681a2d8cb771867b54ddb536100859a058fa3867","cross_cats_sorted":["hep-ph","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-06-29T18:00:06Z","title_canon_sha256":"55ae91c1073d806ee7da209d19b28ae3be909d8d84e85bcd906817b3a06e4cfc"},"schema_version":"1.0","source":{"id":"2006.16265","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2006.16265","created_at":"2026-06-19T16:09:44Z"},{"alias_kind":"arxiv_version","alias_value":"2006.16265v2","created_at":"2026-06-19T16:09:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.16265","created_at":"2026-06-19T16:09:44Z"},{"alias_kind":"pith_short_12","alias_value":"YQNWW4KQ73GS","created_at":"2026-06-19T16:09:44Z"},{"alias_kind":"pith_short_16","alias_value":"YQNWW4KQ73GSNJHD","created_at":"2026-06-19T16:09:44Z"},{"alias_kind":"pith_short_8","alias_value":"YQNWW4KQ","created_at":"2026-06-19T16:09:44Z"}],"graph_snapshots":[{"event_id":"sha256:014b1c16ed18e392836bb8815f5f9e9f38df0d2bae867d688e715cbc6a720ae0","target":"graph","created_at":"2026-06-19T16:09:44Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2006.16265/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Jordan, Wigner and von Neumann classified the possible algebras of quantum mechanical observables, and found they fell into 4 \"ordinary\" families, plus one remarkable outlier: the exceptional Jordan algebra. We point out an intriguing relationship between the complexification of this algebra and the standard model of particle physics, its minimal left-right-symmetric $SU(3)\\times SU(2)_{L}\\times SU(2)_{R}\\times U(1)$ extension, and $Spin(10)$ unification. This suggests a geometric interpretation, where a single generation of standard model fermions is described by the tangent space $(\\mathbb{C","authors_text":"Latham Boyle","cross_cats":["hep-ph","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-06-29T18:00:06Z","title":"The Standard Model, The Exceptional Jordan Algebra, and Triality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.16265","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":"sha256:0142479c362630de22dc9ded688b6c82e4763937ac35fca35b3a2519d14ab067","target":"record","created_at":"2026-06-19T16:09:44Z","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":"d4c53562449678641bb6bc63681a2d8cb771867b54ddb536100859a058fa3867","cross_cats_sorted":["hep-ph","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-06-29T18:00:06Z","title_canon_sha256":"55ae91c1073d806ee7da209d19b28ae3be909d8d84e85bcd906817b3a06e4cfc"},"schema_version":"1.0","source":{"id":"2006.16265","kind":"arxiv","version":2}},"canonical_sha256":"c41b6b7150fecd26a4e35758467b0e9affe8ea00bfbef1d38d97abb3aed5434b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c41b6b7150fecd26a4e35758467b0e9affe8ea00bfbef1d38d97abb3aed5434b","first_computed_at":"2026-06-19T16:09:44.699957Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-19T16:09:44.699957Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VR3yVKevtSRQqf7z4EYnAyS4UGGq+3t1NDgoxt2gBTsBZTKcq0RlWIU4djvWRHGsL4KPxK7g2YyfMXPDJA8tCw==","signature_status":"signed_v1","signed_at":"2026-06-19T16:09:44.700454Z","signed_message":"canonical_sha256_bytes"},"source_id":"2006.16265","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0142479c362630de22dc9ded688b6c82e4763937ac35fca35b3a2519d14ab067","sha256:014b1c16ed18e392836bb8815f5f9e9f38df0d2bae867d688e715cbc6a720ae0"],"state_sha256":"516ee6f2530b2b422ba8edb71a4fe76a8f71bed8554a3d6a24c37b24f0f25921"}