{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1994:YHF7O7P4L4GUIIX3CGDJG7RJQL","short_pith_number":"pith:YHF7O7P4","schema_version":"1.0","canonical_sha256":"c1cbf77dfc5f0d4422fb1186937e2982eabd436ce561caa16b92bfa3f5a5e2cd","source":{"kind":"arxiv","id":"hep-ph/9412265","version":2},"attestation_state":"computed","paper":{"title":"Scale Setting in QCD and the Momentum Flow in Feynman Diagrams","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Matthias Neubert (CERN)","submitted_at":"1994-12-09T10:23:47Z","abstract_excerpt":"We present a formalism to evaluate QCD diagrams with a single virtual gluon using a running coupling constant at the vertices. This method, which corresponds to an all-order resummation of certain terms in a perturbative series, provides a description of the momentum flow through the gluon propagator. It can be viewed as a generalization of the scale-setting prescription of Brodsky, Lepage and Mackenzie to all orders in perturbation theory. In particular, the approach can be used to investigate why in some cases the ``typical'' momenta in a loop diagram are different from the ``natural'' scale"},"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/9412265","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1994-12-09T10:23:47Z","cross_cats_sorted":[],"title_canon_sha256":"0d91009c6ac73710e5d2f2786db7570191659c83661d96d775a90b3da0516d58","abstract_canon_sha256":"1df5031ea5f567888f493f15504c8c4d37a1992b7671e767dc8fe985698b04c0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:38:06.426585Z","signature_b64":"OUIx6TEzJaOCft8jSR8yZ5mI+LrSoYe71/XoCBU+zP716SooXhKTy/20LvDHO296FU9KJuhN+QaZBGDvV5vyDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c1cbf77dfc5f0d4422fb1186937e2982eabd436ce561caa16b92bfa3f5a5e2cd","last_reissued_at":"2026-05-18T04:38:06.426087Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:38:06.426087Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Scale Setting in QCD and the Momentum Flow in Feynman Diagrams","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Matthias Neubert (CERN)","submitted_at":"1994-12-09T10:23:47Z","abstract_excerpt":"We present a formalism to evaluate QCD diagrams with a single virtual gluon using a running coupling constant at the vertices. This method, which corresponds to an all-order resummation of certain terms in a perturbative series, provides a description of the momentum flow through the gluon propagator. It can be viewed as a generalization of the scale-setting prescription of Brodsky, Lepage and Mackenzie to all orders in perturbation theory. In particular, the approach can be used to investigate why in some cases the ``typical'' momenta in a loop diagram are different from the ``natural'' scale"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9412265","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":""},"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/9412265","created_at":"2026-05-18T04:38:06.426169+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9412265v2","created_at":"2026-05-18T04:38:06.426169+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9412265","created_at":"2026-05-18T04:38:06.426169+00:00"},{"alias_kind":"pith_short_12","alias_value":"YHF7O7P4L4GU","created_at":"2026-05-18T12:25:47.102015+00:00"},{"alias_kind":"pith_short_16","alias_value":"YHF7O7P4L4GUIIX3","created_at":"2026-05-18T12:25:47.102015+00:00"},{"alias_kind":"pith_short_8","alias_value":"YHF7O7P4","created_at":"2026-05-18T12:25:47.102015+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.06996","citing_title":"Renormalon-based resummation for B(D) Mesons","ref_index":33,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/YHF7O7P4L4GUIIX3CGDJG7RJQL","json":"https://pith.science/pith/YHF7O7P4L4GUIIX3CGDJG7RJQL.json","graph_json":"https://pith.science/api/pith-number/YHF7O7P4L4GUIIX3CGDJG7RJQL/graph.json","events_json":"https://pith.science/api/pith-number/YHF7O7P4L4GUIIX3CGDJG7RJQL/events.json","paper":"https://pith.science/paper/YHF7O7P4"},"agent_actions":{"view_html":"https://pith.science/pith/YHF7O7P4L4GUIIX3CGDJG7RJQL","download_json":"https://pith.science/pith/YHF7O7P4L4GUIIX3CGDJG7RJQL.json","view_paper":"https://pith.science/paper/YHF7O7P4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-ph/9412265&json=true","fetch_graph":"https://pith.science/api/pith-number/YHF7O7P4L4GUIIX3CGDJG7RJQL/graph.json","fetch_events":"https://pith.science/api/pith-number/YHF7O7P4L4GUIIX3CGDJG7RJQL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YHF7O7P4L4GUIIX3CGDJG7RJQL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YHF7O7P4L4GUIIX3CGDJG7RJQL/action/storage_attestation","attest_author":"https://pith.science/pith/YHF7O7P4L4GUIIX3CGDJG7RJQL/action/author_attestation","sign_citation":"https://pith.science/pith/YHF7O7P4L4GUIIX3CGDJG7RJQL/action/citation_signature","submit_replication":"https://pith.science/pith/YHF7O7P4L4GUIIX3CGDJG7RJQL/action/replication_record"}},"created_at":"2026-05-18T04:38:06.426169+00:00","updated_at":"2026-05-18T04:38:06.426169+00:00"}