{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1999:FHRNUEYGMU6DFXZSGIGJHTSJAO","short_pith_number":"pith:FHRNUEYG","schema_version":"1.0","canonical_sha256":"29e2da1306653c32df32320c93ce490383683e0ce1def777039d945609690dcf","source":{"kind":"arxiv","id":"hep-ph/9909436","version":1},"attestation_state":"computed","paper":{"title":"Second Order Corrections to the Muon Lifetime and the Semileptonic B Decay","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"M. Steinhauser (University of Bern), T. Seidensticker (University of Karlsruhe)","submitted_at":"1999-09-20T15:43:21Z","abstract_excerpt":"In this article two-loop QED corrections to the muon decay and corrections of order $\\alpha_s^2$ to the semileptonic decay of the bottom quark are considered. We compute the imaginary part of the four-loop diagrams contributing to the corresponding fermion propagator in the limit of small external momentum. The on-shell condition is obtained with the help of a conformal mapping and Pad\\'e approximation. Via this method we confirm the existing results by an independent calculation."},"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":"hep-ph/9909436","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1999-09-20T15:43:21Z","cross_cats_sorted":[],"title_canon_sha256":"ac41c2f3a647d5f753c14a3b8fd9a4a33828cc0bc650991e7fc1962430444d8a","abstract_canon_sha256":"d4c4d45c6112e0a2fbf7de902674108447b627af0128b1bc701f04fb3949fb59"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:14:29.518929Z","signature_b64":"piekxCaPctAynvUP+RV4KD7U2VsSPs18zq1OBTDgdM5ZDy2C/TR0fOxXhVaPSCcGbB9MJsolJU9xeE8yuQOuBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"29e2da1306653c32df32320c93ce490383683e0ce1def777039d945609690dcf","last_reissued_at":"2026-07-04T16:14:29.518538Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:14:29.518538Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Second Order Corrections to the Muon Lifetime and the Semileptonic B Decay","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"M. Steinhauser (University of Bern), T. Seidensticker (University of Karlsruhe)","submitted_at":"1999-09-20T15:43:21Z","abstract_excerpt":"In this article two-loop QED corrections to the muon decay and corrections of order $\\alpha_s^2$ to the semileptonic decay of the bottom quark are considered. We compute the imaginary part of the four-loop diagrams contributing to the corresponding fermion propagator in the limit of small external momentum. The on-shell condition is obtained with the help of a conformal mapping and Pad\\'e approximation. Via this method we confirm the existing results by an independent calculation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9909436","kind":"arxiv","version":1},"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/hep-ph/9909436/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":"hep-ph/9909436","created_at":"2026-07-04T16:14:29.518594+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9909436v1","created_at":"2026-07-04T16:14:29.518594+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9909436","created_at":"2026-07-04T16:14:29.518594+00:00"},{"alias_kind":"pith_short_12","alias_value":"FHRNUEYGMU6D","created_at":"2026-07-04T16:14:29.518594+00:00"},{"alias_kind":"pith_short_16","alias_value":"FHRNUEYGMU6DFXZS","created_at":"2026-07-04T16:14:29.518594+00:00"},{"alias_kind":"pith_short_8","alias_value":"FHRNUEYG","created_at":"2026-07-04T16:14:29.518594+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":3,"sample":[{"citing_arxiv_id":"2607.00564","citing_title":"Isospin-breaking effects in inclusive hadronic $\\tau$ data for the muon $(g-2)$ from first principles","ref_index":108,"is_internal_anchor":true},{"citing_arxiv_id":"2209.05289","citing_title":"Semileptonic weak Hamiltonian to $\\mathcal{O}(\\alpha \\alpha_s(\\mu_{\\mathrm{Lattice}}))$ in momentum-space subtraction schemes","ref_index":30,"is_internal_anchor":true},{"citing_arxiv_id":"2511.22383","citing_title":"Complete one-loop QED corrections to $D_s^+$ leptonic decays and impact on the CKM unitarity test","ref_index":52,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/FHRNUEYGMU6DFXZSGIGJHTSJAO","json":"https://pith.science/pith/FHRNUEYGMU6DFXZSGIGJHTSJAO.json","graph_json":"https://pith.science/api/pith-number/FHRNUEYGMU6DFXZSGIGJHTSJAO/graph.json","events_json":"https://pith.science/api/pith-number/FHRNUEYGMU6DFXZSGIGJHTSJAO/events.json","paper":"https://pith.science/paper/FHRNUEYG"},"agent_actions":{"view_html":"https://pith.science/pith/FHRNUEYGMU6DFXZSGIGJHTSJAO","download_json":"https://pith.science/pith/FHRNUEYGMU6DFXZSGIGJHTSJAO.json","view_paper":"https://pith.science/paper/FHRNUEYG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-ph/9909436&json=true","fetch_graph":"https://pith.science/api/pith-number/FHRNUEYGMU6DFXZSGIGJHTSJAO/graph.json","fetch_events":"https://pith.science/api/pith-number/FHRNUEYGMU6DFXZSGIGJHTSJAO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FHRNUEYGMU6DFXZSGIGJHTSJAO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FHRNUEYGMU6DFXZSGIGJHTSJAO/action/storage_attestation","attest_author":"https://pith.science/pith/FHRNUEYGMU6DFXZSGIGJHTSJAO/action/author_attestation","sign_citation":"https://pith.science/pith/FHRNUEYGMU6DFXZSGIGJHTSJAO/action/citation_signature","submit_replication":"https://pith.science/pith/FHRNUEYGMU6DFXZSGIGJHTSJAO/action/replication_record"}},"created_at":"2026-07-04T16:14:29.518594+00:00","updated_at":"2026-07-04T16:14:29.518594+00:00"}