{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:SOR3OW6MXZOIHUBH5FGVLSCAGK","short_pith_number":"pith:SOR3OW6M","schema_version":"1.0","canonical_sha256":"93a3b75bccbe5c83d027e94d55c84032a936e1fa56bb8e0246c0e1aa98a6693a","source":{"kind":"arxiv","id":"1801.06084","version":1},"attestation_state":"computed","paper":{"title":"R*-operation and five-loop calculations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Amsterdam), A. Vogt (Liverpool U., B. Ruijl (Zurich, Dept. Math.), ETH), F. Herzog, J.A.M. Vermaseren (NIKHEF, T. Ueda","submitted_at":"2018-01-18T15:06:17Z","abstract_excerpt":"We sketch how the R*-operation can be used to compute the pole terms of Feynman diagrams. We identify computational difficulties when performing five-loop calculations, and provide four solutions that drastically reduce the number of terms that are generated. Using these methods, we have computed the beta function for Yang-Mills theory with fermions, the R-ratio in electron-positron annihilation, and Higgs decays to quarks and gluons at five-loop accuracy. The results for the beta function and Higgs decay width to gluons in the heavy-top limit are briefly discussed. There is no need for six-lo"},"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":"1801.06084","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-01-18T15:06:17Z","cross_cats_sorted":[],"title_canon_sha256":"a1691a3f2db965243a2d6d9d1a9f067edab62d855309dd6640f1edf07be55adf","abstract_canon_sha256":"3ae53d4c6f758f7beb5eab6bb8d19397d45e77996dff488ce267527058bb0453"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:25:35.595979Z","signature_b64":"pg78+1fDGo71wPW9ypbHSBad4y99LOOCuzgWFmToNKjOBCETktcrIMrUKwYKwlUoZZtNB5uDfjFLiCjPI+JqCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"93a3b75bccbe5c83d027e94d55c84032a936e1fa56bb8e0246c0e1aa98a6693a","last_reissued_at":"2026-05-18T00:25:35.595396Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:25:35.595396Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"R*-operation and five-loop calculations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Amsterdam), A. Vogt (Liverpool U., B. Ruijl (Zurich, Dept. Math.), ETH), F. Herzog, J.A.M. Vermaseren (NIKHEF, T. Ueda","submitted_at":"2018-01-18T15:06:17Z","abstract_excerpt":"We sketch how the R*-operation can be used to compute the pole terms of Feynman diagrams. We identify computational difficulties when performing five-loop calculations, and provide four solutions that drastically reduce the number of terms that are generated. Using these methods, we have computed the beta function for Yang-Mills theory with fermions, the R-ratio in electron-positron annihilation, and Higgs decays to quarks and gluons at five-loop accuracy. The results for the beta function and Higgs decay width to gluons in the heavy-top limit are briefly discussed. There is no need for six-lo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.06084","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":""},"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":"1801.06084","created_at":"2026-05-18T00:25:35.595493+00:00"},{"alias_kind":"arxiv_version","alias_value":"1801.06084v1","created_at":"2026-05-18T00:25:35.595493+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.06084","created_at":"2026-05-18T00:25:35.595493+00:00"},{"alias_kind":"pith_short_12","alias_value":"SOR3OW6MXZOI","created_at":"2026-05-18T12:32:53.628368+00:00"},{"alias_kind":"pith_short_16","alias_value":"SOR3OW6MXZOIHUBH","created_at":"2026-05-18T12:32:53.628368+00:00"},{"alias_kind":"pith_short_8","alias_value":"SOR3OW6M","created_at":"2026-05-18T12:32:53.628368+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/SOR3OW6MXZOIHUBH5FGVLSCAGK","json":"https://pith.science/pith/SOR3OW6MXZOIHUBH5FGVLSCAGK.json","graph_json":"https://pith.science/api/pith-number/SOR3OW6MXZOIHUBH5FGVLSCAGK/graph.json","events_json":"https://pith.science/api/pith-number/SOR3OW6MXZOIHUBH5FGVLSCAGK/events.json","paper":"https://pith.science/paper/SOR3OW6M"},"agent_actions":{"view_html":"https://pith.science/pith/SOR3OW6MXZOIHUBH5FGVLSCAGK","download_json":"https://pith.science/pith/SOR3OW6MXZOIHUBH5FGVLSCAGK.json","view_paper":"https://pith.science/paper/SOR3OW6M","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1801.06084&json=true","fetch_graph":"https://pith.science/api/pith-number/SOR3OW6MXZOIHUBH5FGVLSCAGK/graph.json","fetch_events":"https://pith.science/api/pith-number/SOR3OW6MXZOIHUBH5FGVLSCAGK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SOR3OW6MXZOIHUBH5FGVLSCAGK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SOR3OW6MXZOIHUBH5FGVLSCAGK/action/storage_attestation","attest_author":"https://pith.science/pith/SOR3OW6MXZOIHUBH5FGVLSCAGK/action/author_attestation","sign_citation":"https://pith.science/pith/SOR3OW6MXZOIHUBH5FGVLSCAGK/action/citation_signature","submit_replication":"https://pith.science/pith/SOR3OW6MXZOIHUBH5FGVLSCAGK/action/replication_record"}},"created_at":"2026-05-18T00:25:35.595493+00:00","updated_at":"2026-05-18T00:25:35.595493+00:00"}