{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:KFC73TN6IODF4WLXU2NN5GZXOR","short_pith_number":"pith:KFC73TN6","schema_version":"1.0","canonical_sha256":"5145fdcdbe43865e5977a69ade9b377471c1beb23674db4a42726c14953e3501","source":{"kind":"arxiv","id":"2402.13307","version":2},"attestation_state":"computed","paper":{"title":"Renormalization of beta decay at three loops and beyond","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["nucl-th"],"primary_cat":"hep-ph","authors_text":"Kaushik Borah, Richard J. Hill, Ryan Plestid","submitted_at":"2024-02-20T19:00:00Z","abstract_excerpt":"The anomalous dimension for heavy-heavy-light effective theory operators describing nuclear beta decay is computed through three-loop order in the static limit. The result at order $Z^2\\alpha^3$ corrects a previous result in the literature. An all-orders symmetry is shown to relate the anomalous dimensions at leading and subleading powers of $Z$ at a given order of $\\alpha$. The first unknown coefficient for the anomalous dimension now appears at $O(Z^2\\alpha^4)$."},"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":"2402.13307","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2024-02-20T19:00:00Z","cross_cats_sorted":["nucl-th"],"title_canon_sha256":"383e1db9187b3e4404226eb237f8fa6832d02d97dd7db3c4189a3b8197d3be0d","abstract_canon_sha256":"7ee264429d3b5481b6763cc5bf99f87c5302237d6e86edcd1211278c2f3b2445"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:01:30.274226Z","signature_b64":"sK+89OXmqXM9wMUZtWcm7ElvDVkl71V9iCnVaGtQTTqfdEBctSHXTQj9GZBf+0BDzdmhYUWEkPSDcdXHYbpRAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5145fdcdbe43865e5977a69ade9b377471c1beb23674db4a42726c14953e3501","last_reissued_at":"2026-07-05T09:01:30.273667Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:01:30.273667Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Renormalization of beta decay at three loops and beyond","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["nucl-th"],"primary_cat":"hep-ph","authors_text":"Kaushik Borah, Richard J. Hill, Ryan Plestid","submitted_at":"2024-02-20T19:00:00Z","abstract_excerpt":"The anomalous dimension for heavy-heavy-light effective theory operators describing nuclear beta decay is computed through three-loop order in the static limit. The result at order $Z^2\\alpha^3$ corrects a previous result in the literature. An all-orders symmetry is shown to relate the anomalous dimensions at leading and subleading powers of $Z$ at a given order of $\\alpha$. The first unknown coefficient for the anomalous dimension now appears at $O(Z^2\\alpha^4)$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.13307","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/2402.13307/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":"2402.13307","created_at":"2026-07-05T09:01:30.273730+00:00"},{"alias_kind":"arxiv_version","alias_value":"2402.13307v2","created_at":"2026-07-05T09:01:30.273730+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.13307","created_at":"2026-07-05T09:01:30.273730+00:00"},{"alias_kind":"pith_short_12","alias_value":"KFC73TN6IODF","created_at":"2026-07-05T09:01:30.273730+00:00"},{"alias_kind":"pith_short_16","alias_value":"KFC73TN6IODF4WLX","created_at":"2026-07-05T09:01:30.273730+00:00"},{"alias_kind":"pith_short_8","alias_value":"KFC73TN6","created_at":"2026-07-05T09:01:30.273730+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.13985","citing_title":"Taming nuclear size and shape effects in superallowed beta-decay","ref_index":67,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/KFC73TN6IODF4WLXU2NN5GZXOR","json":"https://pith.science/pith/KFC73TN6IODF4WLXU2NN5GZXOR.json","graph_json":"https://pith.science/api/pith-number/KFC73TN6IODF4WLXU2NN5GZXOR/graph.json","events_json":"https://pith.science/api/pith-number/KFC73TN6IODF4WLXU2NN5GZXOR/events.json","paper":"https://pith.science/paper/KFC73TN6"},"agent_actions":{"view_html":"https://pith.science/pith/KFC73TN6IODF4WLXU2NN5GZXOR","download_json":"https://pith.science/pith/KFC73TN6IODF4WLXU2NN5GZXOR.json","view_paper":"https://pith.science/paper/KFC73TN6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2402.13307&json=true","fetch_graph":"https://pith.science/api/pith-number/KFC73TN6IODF4WLXU2NN5GZXOR/graph.json","fetch_events":"https://pith.science/api/pith-number/KFC73TN6IODF4WLXU2NN5GZXOR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KFC73TN6IODF4WLXU2NN5GZXOR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KFC73TN6IODF4WLXU2NN5GZXOR/action/storage_attestation","attest_author":"https://pith.science/pith/KFC73TN6IODF4WLXU2NN5GZXOR/action/author_attestation","sign_citation":"https://pith.science/pith/KFC73TN6IODF4WLXU2NN5GZXOR/action/citation_signature","submit_replication":"https://pith.science/pith/KFC73TN6IODF4WLXU2NN5GZXOR/action/replication_record"}},"created_at":"2026-07-05T09:01:30.273730+00:00","updated_at":"2026-07-05T09:01:30.273730+00:00"}