{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:C5HV34VUACNPFFTB4QZMO7LWEB","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":"160de725463131d2e3475b46d174a486262f79bbfc2c2eb532fcc11df100615d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-02-25T12:45:15Z","title_canon_sha256":"071250ca2cf4e7af3076a499fcf4395587f10f64ebb44a86c9fca62f8c763a74"},"schema_version":"1.0","source":{"id":"1202.5646","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.5646","created_at":"2026-05-18T04:01:25Z"},{"alias_kind":"arxiv_version","alias_value":"1202.5646v1","created_at":"2026-05-18T04:01:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.5646","created_at":"2026-05-18T04:01:25Z"},{"alias_kind":"pith_short_12","alias_value":"C5HV34VUACNP","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"C5HV34VUACNPFFTB","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"C5HV34VU","created_at":"2026-05-18T12:27:01Z"}],"graph_snapshots":[{"event_id":"sha256:4ce41020241e71cab9e9157e4278ce91267b247f16f9b6a7cbc6b32ec99b045a","target":"graph","created_at":"2026-05-18T04:01:25Z","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":"To describe external and internal attributes of fundamental fermions, a theory of multi-spinor fields is developed on an algebra, a {\\it triplet algebra}, which consists of all the triple-direct-products of Dirac \\gamma-matrices. The triplet algebra is decomposed into the product of two subalgebras, an external algebra and an internal algebra, which are exclusively related with external and internal characteristic of the multi-spinor field named {\\it triplet fields}. All elements of the external algebra which is isomorphic to the original Dirac algebra $A_\\gamma$ are invariant under the action","authors_text":"Ikuo S. Sogami","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-02-25T12:45:15Z","title":"Algebraic description of external and internal attributes of fundamental fermions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.5646","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:b96bac40e05457e5d7abc36d162b83b2f8c8e255370a439d2aa27dd8158442b9","target":"record","created_at":"2026-05-18T04:01:25Z","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":"160de725463131d2e3475b46d174a486262f79bbfc2c2eb532fcc11df100615d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-02-25T12:45:15Z","title_canon_sha256":"071250ca2cf4e7af3076a499fcf4395587f10f64ebb44a86c9fca62f8c763a74"},"schema_version":"1.0","source":{"id":"1202.5646","kind":"arxiv","version":1}},"canonical_sha256":"174f5df2b4009af29661e432c77d762057f18ab18c1e7a4322ea601ea5a8df4b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"174f5df2b4009af29661e432c77d762057f18ab18c1e7a4322ea601ea5a8df4b","first_computed_at":"2026-05-18T04:01:25.195029Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:01:25.195029Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"E0uTvYjs34QIjtrMELyk6jBxNwXzQxiCc5GAfo5dyNqNqAUQ4uhCq0IjKJCqumsVndyqYdx4AP6u/G++53D0AA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:01:25.195763Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.5646","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b96bac40e05457e5d7abc36d162b83b2f8c8e255370a439d2aa27dd8158442b9","sha256:4ce41020241e71cab9e9157e4278ce91267b247f16f9b6a7cbc6b32ec99b045a"],"state_sha256":"b29b7d2655b6018556e06805b60bab4f1782ae3d7989b8efc4fd9449d87e1f5f"}