{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:SQNTY65CCM5KM3AGIQ4AWNJHMH","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":"e484f5eb2c428b8c505117e41cfc5aab9936d5f8cf2fb9001170a8e94c8dc89e","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2008-12-09T20:49:40Z","title_canon_sha256":"bd14aa55c2797b3d25862c1ebca1ca21830e31b0fc28a755699eb0c98728f9d1"},"schema_version":"1.0","source":{"id":"0812.1594","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0812.1594","created_at":"2026-07-05T04:25:38Z"},{"alias_kind":"arxiv_version","alias_value":"0812.1594v6","created_at":"2026-07-05T04:25:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0812.1594","created_at":"2026-07-05T04:25:38Z"},{"alias_kind":"pith_short_12","alias_value":"SQNTY65CCM5K","created_at":"2026-07-05T04:25:38Z"},{"alias_kind":"pith_short_16","alias_value":"SQNTY65CCM5KM3AG","created_at":"2026-07-05T04:25:38Z"},{"alias_kind":"pith_short_8","alias_value":"SQNTY65C","created_at":"2026-07-05T04:25:38Z"}],"graph_snapshots":[{"event_id":"sha256:154ebe006a2a1a2a2857d4b791986858072666569705fd650c14c9fff1afeebf","target":"graph","created_at":"2026-07-05T04:25:38Z","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/0812.1594/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Two-component spinors are the basic ingredients for describing fermions in quantum field theory in four space-time dimensions. We develop and review the techniques of the two-component spinor formalism and provide a complete set of Feynman rules for fermions using two-component spinor notation. These rules are suitable for practical calculations of cross-sections, decay rates, and radiative corrections in the Standard Model and its extensions, including supersymmetry, and many explicit examples are provided. The unified treatment presented in this review applies to massless Weyl fermions and m","authors_text":"Herbi K. Dreiner, Howard E. Haber, Stephen P. Martin","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2008-12-09T20:49:40Z","title":"Two-component spinor techniques and Feynman rules for quantum field theory and supersymmetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0812.1594","kind":"arxiv","version":6},"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":"sha256:494d136b95feacbd5af4a8ca82e1f0406ed7035b75df27f3d166975a52eb344c","target":"record","created_at":"2026-07-05T04:25:38Z","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":"e484f5eb2c428b8c505117e41cfc5aab9936d5f8cf2fb9001170a8e94c8dc89e","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2008-12-09T20:49:40Z","title_canon_sha256":"bd14aa55c2797b3d25862c1ebca1ca21830e31b0fc28a755699eb0c98728f9d1"},"schema_version":"1.0","source":{"id":"0812.1594","kind":"arxiv","version":6}},"canonical_sha256":"941b3c7ba2133aa66c0644380b352761c776b05fedf05912d6460a1a86d25843","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"941b3c7ba2133aa66c0644380b352761c776b05fedf05912d6460a1a86d25843","first_computed_at":"2026-07-05T04:25:38.017281Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:25:38.017281Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dTnwO336raRUvIDPodWpVxj1MO+/tMHZBmpXNSHPuFNGA+3ZAM0CrxQ+qOxrb+1qCfRxvHpVOkQn0FLYELCwDg==","signature_status":"signed_v1","signed_at":"2026-07-05T04:25:38.017803Z","signed_message":"canonical_sha256_bytes"},"source_id":"0812.1594","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:494d136b95feacbd5af4a8ca82e1f0406ed7035b75df27f3d166975a52eb344c","sha256:154ebe006a2a1a2a2857d4b791986858072666569705fd650c14c9fff1afeebf"],"state_sha256":"b3d37d46f020ff718c1618fde2276a87e67ba3346cc1f0f245d4707fdf9db43e"}