{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:6ME3OP4WNAXWROWLKN3IXEU7I2","short_pith_number":"pith:6ME3OP4W","schema_version":"1.0","canonical_sha256":"f309b73f96682f68bacb53768b929f46900a1f20b3abaf250633f12640698ac9","source":{"kind":"arxiv","id":"2306.16449","version":2},"attestation_state":"computed","paper":{"title":"Renormalization scheme factorization of one-loop Fierz identities","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":"2023-06-28T18:00:01Z","abstract_excerpt":"We present a proof of the factorization of renormalization scheme in one-loop-corrected Fierz identities. This scheme factorization facilitates the simultaneous transformation of operator basis and renormalization scheme using only relations between physical operators; the evanescent operators in the respective bases may be chosen entirely independently of each other. The relations between evanescent operators in the two bases is automatically accounted for by the corrected Fierz identities. We illustrate the utility of this result with a two-loop anomalous dimension matrix computation using t"},"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":"2306.16449","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2023-06-28T18:00:01Z","cross_cats_sorted":[],"title_canon_sha256":"b3ccd73d9a2d5064b88c8caefa4a27a2baf989bc858b026c0d570a953ca60d7b","abstract_canon_sha256":"55944ca1584867820c35fd19dc3694d7e03009c4ba7b87f53ad39f38ffe297ae"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:30:03.799619Z","signature_b64":"APXa1yXGpCLNdji1CcCDKTJdFQxMXqSjU0zWBwFek0XXM5vTCBGIlMlFE4DVjt5vvowjE1S5AAAhgXhD3VttAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f309b73f96682f68bacb53768b929f46900a1f20b3abaf250633f12640698ac9","last_reissued_at":"2026-07-05T08:30:03.799140Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:30:03.799140Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Renormalization scheme factorization of one-loop Fierz identities","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":"2023-06-28T18:00:01Z","abstract_excerpt":"We present a proof of the factorization of renormalization scheme in one-loop-corrected Fierz identities. This scheme factorization facilitates the simultaneous transformation of operator basis and renormalization scheme using only relations between physical operators; the evanescent operators in the respective bases may be chosen entirely independently of each other. The relations between evanescent operators in the two bases is automatically accounted for by the corrected Fierz identities. We illustrate the utility of this result with a two-loop anomalous dimension matrix computation using t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2306.16449","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/2306.16449/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":"2306.16449","created_at":"2026-07-05T08:30:03.799200+00:00"},{"alias_kind":"arxiv_version","alias_value":"2306.16449v2","created_at":"2026-07-05T08:30:03.799200+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2306.16449","created_at":"2026-07-05T08:30:03.799200+00:00"},{"alias_kind":"pith_short_12","alias_value":"6ME3OP4WNAXW","created_at":"2026-07-05T08:30:03.799200+00:00"},{"alias_kind":"pith_short_16","alias_value":"6ME3OP4WNAXWROWL","created_at":"2026-07-05T08:30:03.799200+00:00"},{"alias_kind":"pith_short_8","alias_value":"6ME3OP4W","created_at":"2026-07-05T08:30:03.799200+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":40,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/6ME3OP4WNAXWROWLKN3IXEU7I2","json":"https://pith.science/pith/6ME3OP4WNAXWROWLKN3IXEU7I2.json","graph_json":"https://pith.science/api/pith-number/6ME3OP4WNAXWROWLKN3IXEU7I2/graph.json","events_json":"https://pith.science/api/pith-number/6ME3OP4WNAXWROWLKN3IXEU7I2/events.json","paper":"https://pith.science/paper/6ME3OP4W"},"agent_actions":{"view_html":"https://pith.science/pith/6ME3OP4WNAXWROWLKN3IXEU7I2","download_json":"https://pith.science/pith/6ME3OP4WNAXWROWLKN3IXEU7I2.json","view_paper":"https://pith.science/paper/6ME3OP4W","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2306.16449&json=true","fetch_graph":"https://pith.science/api/pith-number/6ME3OP4WNAXWROWLKN3IXEU7I2/graph.json","fetch_events":"https://pith.science/api/pith-number/6ME3OP4WNAXWROWLKN3IXEU7I2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6ME3OP4WNAXWROWLKN3IXEU7I2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6ME3OP4WNAXWROWLKN3IXEU7I2/action/storage_attestation","attest_author":"https://pith.science/pith/6ME3OP4WNAXWROWLKN3IXEU7I2/action/author_attestation","sign_citation":"https://pith.science/pith/6ME3OP4WNAXWROWLKN3IXEU7I2/action/citation_signature","submit_replication":"https://pith.science/pith/6ME3OP4WNAXWROWLKN3IXEU7I2/action/replication_record"}},"created_at":"2026-07-05T08:30:03.799200+00:00","updated_at":"2026-07-05T08:30:03.799200+00:00"}