{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1992:GLN6MD2OSSG3T7E5M7O7QB7WEB","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":"22750422afca6a7fa9c7df598a5e6086655e6d027388deccf762ca4be8c8303f","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"1992-11-26T12:39:54Z","title_canon_sha256":"e223ac0a4d4c1cfe7a9bdbcb3754a43b1f75ad0b09abcea41edcfee12b7e2a81"},"schema_version":"1.0","source":{"id":"hep-ph/9211321","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9211321","created_at":"2026-07-04T15:55:18Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9211321v1","created_at":"2026-07-04T15:55:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9211321","created_at":"2026-07-04T15:55:18Z"},{"alias_kind":"pith_short_12","alias_value":"GLN6MD2OSSG3","created_at":"2026-07-04T15:55:18Z"},{"alias_kind":"pith_short_16","alias_value":"GLN6MD2OSSG3T7E5","created_at":"2026-07-04T15:55:18Z"},{"alias_kind":"pith_short_8","alias_value":"GLN6MD2O","created_at":"2026-07-04T15:55:18Z"}],"graph_snapshots":[{"event_id":"sha256:3ad81d6a7a9631bff4a8a01913bda16f7909eb1e0741ec937ff76e0d25448c86","target":"graph","created_at":"2026-07-04T15:55:18Z","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/hep-ph/9211321/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We calculate the $10\\times 10$ two--loop anomalous dimension matrix to order $\\ord(\\alpha_e \\alpha_s)$ in the dimensional regularization scheme with anticommuting $\\gamma_5$ (NDR) which is necessary for the extension of the $\\Delta S=1$ weak Hamiltonian involving electroweak penguins beyond the leading logarithmic approximation. We demonstrate, how a direct calculation of penguin diagrams involving $\\gamma_5$ in closed fermion loops can be avoided thus allowing a consistent calculation of two--loop anomalous dimensions in the simplest renormalization scheme with anticommuting $\\gamma_5$ in $D$","authors_text":"Andrzej J. Buras, Markus E. Lautenbacher, Matthias Jamin","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"1992-11-26T12:39:54Z","title":"Two--Loop Anomalous Dimension Matrix for $\\Delta S=1$ Weak Non-Leptonic Decays II: ${\\cal O}(\\alpha_e \\alpha_s)$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9211321","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:bf22c6aaa96cd5783608f6f15adb95b86c7b75fb0f3ef343e8b0828a24d6539e","target":"record","created_at":"2026-07-04T15:55:18Z","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":"22750422afca6a7fa9c7df598a5e6086655e6d027388deccf762ca4be8c8303f","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"1992-11-26T12:39:54Z","title_canon_sha256":"e223ac0a4d4c1cfe7a9bdbcb3754a43b1f75ad0b09abcea41edcfee12b7e2a81"},"schema_version":"1.0","source":{"id":"hep-ph/9211321","kind":"arxiv","version":1}},"canonical_sha256":"32dbe60f4e948db9fc9d67ddf807f6205020b07f73e784c5d5076d282203d69c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"32dbe60f4e948db9fc9d67ddf807f6205020b07f73e784c5d5076d282203d69c","first_computed_at":"2026-07-04T15:55:18.016271Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:55:18.016271Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IU3PeudC8E/oWILmgibT2sWdk6aoSp/xk80pCGH/o2Gtve1xnvXRMHHGOEYN7Wm1LhO0+JwPz+ZIVurOxdDGAQ==","signature_status":"signed_v1","signed_at":"2026-07-04T15:55:18.016617Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/9211321","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bf22c6aaa96cd5783608f6f15adb95b86c7b75fb0f3ef343e8b0828a24d6539e","sha256:3ad81d6a7a9631bff4a8a01913bda16f7909eb1e0741ec937ff76e0d25448c86"],"state_sha256":"bc14455f23acd9cf741145a633cf28e999cadb01c4c0c8c8690b0127ac72aaa6"}