{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2008:3CGLQ5JIX32WVHLGHPLAOOF2BU","short_pith_number":"pith:3CGLQ5JI","schema_version":"1.0","canonical_sha256":"d88cb87528bef56a9d663bd60738ba0d02cd5060c799392cfc8fb048e6bfbc81","source":{"kind":"arxiv","id":"0808.3509","version":1},"attestation_state":"computed","paper":{"title":"Heavy-to-heavy quark decays at NNLO","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Alexey Pak, Andrzej Czarnecki","submitted_at":"2008-08-26T13:23:33Z","abstract_excerpt":"Details of a recent calculation of O(alpha_s^2) corrections to the decay b -> c,l,nu_l, taking into account the c-quark mass, are described. Construction of the expansion in the mass ratio m_c/m_b as well as the evaluation of new four-loop master integrals are presented. The same techniques are applicable to the muon decay, mu -> e,nu_mu,anti-nu_e. Analytical results are presented, for the physical cases as well as for a model with purely-vector couplings."},"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":"0808.3509","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2008-08-26T13:23:33Z","cross_cats_sorted":[],"title_canon_sha256":"bb86e63a4194c9cf231fece1a05f0129d7ffb8599164263a584ea68ae045f254","abstract_canon_sha256":"52186af9dcc7540a307dfde3c6e03ed43c2ae996d1fd22410e78d9b6539e21a4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:35:15.172530Z","signature_b64":"3P65cU1SmWcfV5hohYlhXpbBSaKZ5GsCSw3hlSP5yIjp56XCZucY0P7JZM2MSKDkKEjSn7bfHP/PQLpdN96uDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d88cb87528bef56a9d663bd60738ba0d02cd5060c799392cfc8fb048e6bfbc81","last_reissued_at":"2026-07-04T15:35:15.172114Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:35:15.172114Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Heavy-to-heavy quark decays at NNLO","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Alexey Pak, Andrzej Czarnecki","submitted_at":"2008-08-26T13:23:33Z","abstract_excerpt":"Details of a recent calculation of O(alpha_s^2) corrections to the decay b -> c,l,nu_l, taking into account the c-quark mass, are described. Construction of the expansion in the mass ratio m_c/m_b as well as the evaluation of new four-loop master integrals are presented. The same techniques are applicable to the muon decay, mu -> e,nu_mu,anti-nu_e. Analytical results are presented, for the physical cases as well as for a model with purely-vector couplings."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0808.3509","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/0808.3509/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":"0808.3509","created_at":"2026-07-04T15:35:15.172175+00:00"},{"alias_kind":"arxiv_version","alias_value":"0808.3509v1","created_at":"2026-07-04T15:35:15.172175+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0808.3509","created_at":"2026-07-04T15:35:15.172175+00:00"},{"alias_kind":"pith_short_12","alias_value":"3CGLQ5JIX32W","created_at":"2026-07-04T15:35:15.172175+00:00"},{"alias_kind":"pith_short_16","alias_value":"3CGLQ5JIX32WVHLG","created_at":"2026-07-04T15:35:15.172175+00:00"},{"alias_kind":"pith_short_8","alias_value":"3CGLQ5JI","created_at":"2026-07-04T15:35:15.172175+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2607.01116","citing_title":"Inclusive $\\bar B_s\\mapsto X_{\\bar sc} \\ell \\bar \\nu$ decays from lattice QCD: computational strategy and a first physical result","ref_index":37,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/3CGLQ5JIX32WVHLGHPLAOOF2BU","json":"https://pith.science/pith/3CGLQ5JIX32WVHLGHPLAOOF2BU.json","graph_json":"https://pith.science/api/pith-number/3CGLQ5JIX32WVHLGHPLAOOF2BU/graph.json","events_json":"https://pith.science/api/pith-number/3CGLQ5JIX32WVHLGHPLAOOF2BU/events.json","paper":"https://pith.science/paper/3CGLQ5JI"},"agent_actions":{"view_html":"https://pith.science/pith/3CGLQ5JIX32WVHLGHPLAOOF2BU","download_json":"https://pith.science/pith/3CGLQ5JIX32WVHLGHPLAOOF2BU.json","view_paper":"https://pith.science/paper/3CGLQ5JI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0808.3509&json=true","fetch_graph":"https://pith.science/api/pith-number/3CGLQ5JIX32WVHLGHPLAOOF2BU/graph.json","fetch_events":"https://pith.science/api/pith-number/3CGLQ5JIX32WVHLGHPLAOOF2BU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3CGLQ5JIX32WVHLGHPLAOOF2BU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3CGLQ5JIX32WVHLGHPLAOOF2BU/action/storage_attestation","attest_author":"https://pith.science/pith/3CGLQ5JIX32WVHLGHPLAOOF2BU/action/author_attestation","sign_citation":"https://pith.science/pith/3CGLQ5JIX32WVHLGHPLAOOF2BU/action/citation_signature","submit_replication":"https://pith.science/pith/3CGLQ5JIX32WVHLGHPLAOOF2BU/action/replication_record"}},"created_at":"2026-07-04T15:35:15.172175+00:00","updated_at":"2026-07-04T15:35:15.172175+00:00"}