{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:WF52DVYXYYE64QNX7TXAL6CPOL","short_pith_number":"pith:WF52DVYX","schema_version":"1.0","canonical_sha256":"b17ba1d717c609ee41b7fcee05f84f72ee8743d225b490307bcf167abb5a6c2a","source":{"kind":"arxiv","id":"2401.16904","version":2},"attestation_state":"computed","paper":{"title":"A Simple Dirac Prescription for Two-Loop Anomalous Dimension Matrices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Jason Aebischer, Marko Pesut, Zachary Polonsky","submitted_at":"2024-01-30T11:12:13Z","abstract_excerpt":"A novel method to treat effects from evanescent operators in next-to-leading order (NLO) computations is introduced. The approach allows, besides further simplifications, to discard evanescent-to-physical mixing contributions in NLO calculations. The method is independent of the treatments of $\\gamma_5$ and can therefore be combined with different renormalization schemes. We illustrate the utility of this result by reproducing literature results of two-loop anomalous dimension matrices for both $|\\Delta F| = 1$ and $|\\Delta F| = 2$ transitions."},"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":"2401.16904","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2024-01-30T11:12:13Z","cross_cats_sorted":[],"title_canon_sha256":"264fe98425e8a895704548af863612a79eb5273e43806f78093f807eb123ad55","abstract_canon_sha256":"ce14b21b055ffe29f8315416c5fe86d449cd45172ec042c2d5c284dafb9678ee"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:51:46.417014Z","signature_b64":"iJMojx6SXSFA0AtHR0FjrKhwW6lDa+ywt9E6gdgQjnXJbv7m5sxAY7A/qEMlorUTcXfxlX1/BeBomnOyn+HGCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b17ba1d717c609ee41b7fcee05f84f72ee8743d225b490307bcf167abb5a6c2a","last_reissued_at":"2026-07-05T08:51:46.416544Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:51:46.416544Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Simple Dirac Prescription for Two-Loop Anomalous Dimension Matrices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Jason Aebischer, Marko Pesut, Zachary Polonsky","submitted_at":"2024-01-30T11:12:13Z","abstract_excerpt":"A novel method to treat effects from evanescent operators in next-to-leading order (NLO) computations is introduced. The approach allows, besides further simplifications, to discard evanescent-to-physical mixing contributions in NLO calculations. The method is independent of the treatments of $\\gamma_5$ and can therefore be combined with different renormalization schemes. We illustrate the utility of this result by reproducing literature results of two-loop anomalous dimension matrices for both $|\\Delta F| = 1$ and $|\\Delta F| = 2$ transitions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2401.16904","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2401.16904/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2401.16904","created_at":"2026-07-05T08:51:46.416601+00:00"},{"alias_kind":"arxiv_version","alias_value":"2401.16904v2","created_at":"2026-07-05T08:51:46.416601+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2401.16904","created_at":"2026-07-05T08:51:46.416601+00:00"},{"alias_kind":"pith_short_12","alias_value":"WF52DVYXYYE6","created_at":"2026-07-05T08:51:46.416601+00:00"},{"alias_kind":"pith_short_16","alias_value":"WF52DVYXYYE64QNX","created_at":"2026-07-05T08:51:46.416601+00:00"},{"alias_kind":"pith_short_8","alias_value":"WF52DVYX","created_at":"2026-07-05T08:51:46.416601+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2501.08384","citing_title":"Two-Loop Anomalous Dimensions in the LEFT: Dimension-Six Four-Fermion Operators in NDR","ref_index":41,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/WF52DVYXYYE64QNX7TXAL6CPOL","json":"https://pith.science/pith/WF52DVYXYYE64QNX7TXAL6CPOL.json","graph_json":"https://pith.science/api/pith-number/WF52DVYXYYE64QNX7TXAL6CPOL/graph.json","events_json":"https://pith.science/api/pith-number/WF52DVYXYYE64QNX7TXAL6CPOL/events.json","paper":"https://pith.science/paper/WF52DVYX"},"agent_actions":{"view_html":"https://pith.science/pith/WF52DVYXYYE64QNX7TXAL6CPOL","download_json":"https://pith.science/pith/WF52DVYXYYE64QNX7TXAL6CPOL.json","view_paper":"https://pith.science/paper/WF52DVYX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2401.16904&json=true","fetch_graph":"https://pith.science/api/pith-number/WF52DVYXYYE64QNX7TXAL6CPOL/graph.json","fetch_events":"https://pith.science/api/pith-number/WF52DVYXYYE64QNX7TXAL6CPOL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WF52DVYXYYE64QNX7TXAL6CPOL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WF52DVYXYYE64QNX7TXAL6CPOL/action/storage_attestation","attest_author":"https://pith.science/pith/WF52DVYXYYE64QNX7TXAL6CPOL/action/author_attestation","sign_citation":"https://pith.science/pith/WF52DVYXYYE64QNX7TXAL6CPOL/action/citation_signature","submit_replication":"https://pith.science/pith/WF52DVYXYYE64QNX7TXAL6CPOL/action/replication_record"}},"created_at":"2026-07-05T08:51:46.416601+00:00","updated_at":"2026-07-05T08:51:46.416601+00:00"}