{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1994:KH6FMDYNHCZK2MAA4HWG34MN5E","short_pith_number":"pith:KH6FMDYN","schema_version":"1.0","canonical_sha256":"51fc560f0d38b2ad3000e1ec6df18de91a433f2a96b9c7f2ab025b5b180c7607","source":{"kind":"arxiv","id":"hep-ph/9408395","version":2},"attestation_state":"computed","paper":{"title":"Estimates of the higher-order QCD corrections: Theory and Applications","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"A.L. Kataev, V.V. Starshenko","submitted_at":"1994-08-30T21:37:21Z","abstract_excerpt":"We consider the further development of the formalism of the estimates of higher-order perturbative corrections in the Euclidean region, which is based on the application of the scheme-invariant methods, namely the principle of minimal sensitivity and the effective charges approach. We present the estimates of the order $O(\\alpha^{4}_{s})$ QCD corrections to the Euclidean quantities: the $e^+e^-$-annihilation $D$-function and the deep inelastic scattering sum rules, namely the non-polarized and polarized Bjorken sum rules and to the Gross--Llewellyn Smith sum rule. The results for the $D$-funct"},"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/9408395","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1994-08-30T21:37:21Z","cross_cats_sorted":[],"title_canon_sha256":"39d2aa477463105c7c5e2b377afdd853b947620c859cc306d97c13a72df8682e","abstract_canon_sha256":"ecac70d0bdcee62a1f83a84ff00e13ba74b8ac7688d8e4fc50cc1cb0ec71697f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:57:34.906907Z","signature_b64":"Gcgg7NtED4505Na/NbXXq2Mc8q4SXDPOVemMYS+vHRyEbUgFj0b0FUNKMbmGkV4BzcLLbjN4HaDiATGymjRACg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"51fc560f0d38b2ad3000e1ec6df18de91a433f2a96b9c7f2ab025b5b180c7607","last_reissued_at":"2026-07-04T15:57:34.906563Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:57:34.906563Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Estimates of the higher-order QCD corrections: Theory and Applications","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"A.L. Kataev, V.V. Starshenko","submitted_at":"1994-08-30T21:37:21Z","abstract_excerpt":"We consider the further development of the formalism of the estimates of higher-order perturbative corrections in the Euclidean region, which is based on the application of the scheme-invariant methods, namely the principle of minimal sensitivity and the effective charges approach. We present the estimates of the order $O(\\alpha^{4}_{s})$ QCD corrections to the Euclidean quantities: the $e^+e^-$-annihilation $D$-function and the deep inelastic scattering sum rules, namely the non-polarized and polarized Bjorken sum rules and to the Gross--Llewellyn Smith sum rule. The results for the $D$-funct"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9408395","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/hep-ph/9408395/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/9408395","created_at":"2026-07-04T15:57:34.906623+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9408395v2","created_at":"2026-07-04T15:57:34.906623+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9408395","created_at":"2026-07-04T15:57:34.906623+00:00"},{"alias_kind":"pith_short_12","alias_value":"KH6FMDYNHCZK","created_at":"2026-07-04T15:57:34.906623+00:00"},{"alias_kind":"pith_short_16","alias_value":"KH6FMDYNHCZK2MAA","created_at":"2026-07-04T15:57:34.906623+00:00"},{"alias_kind":"pith_short_8","alias_value":"KH6FMDYN","created_at":"2026-07-04T15:57:34.906623+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1908.06632","citing_title":"Higher-order perturbative coefficients in QCD from series acceleration by conformal mappings","ref_index":4,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/KH6FMDYNHCZK2MAA4HWG34MN5E","json":"https://pith.science/pith/KH6FMDYNHCZK2MAA4HWG34MN5E.json","graph_json":"https://pith.science/api/pith-number/KH6FMDYNHCZK2MAA4HWG34MN5E/graph.json","events_json":"https://pith.science/api/pith-number/KH6FMDYNHCZK2MAA4HWG34MN5E/events.json","paper":"https://pith.science/paper/KH6FMDYN"},"agent_actions":{"view_html":"https://pith.science/pith/KH6FMDYNHCZK2MAA4HWG34MN5E","download_json":"https://pith.science/pith/KH6FMDYNHCZK2MAA4HWG34MN5E.json","view_paper":"https://pith.science/paper/KH6FMDYN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-ph/9408395&json=true","fetch_graph":"https://pith.science/api/pith-number/KH6FMDYNHCZK2MAA4HWG34MN5E/graph.json","fetch_events":"https://pith.science/api/pith-number/KH6FMDYNHCZK2MAA4HWG34MN5E/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KH6FMDYNHCZK2MAA4HWG34MN5E/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KH6FMDYNHCZK2MAA4HWG34MN5E/action/storage_attestation","attest_author":"https://pith.science/pith/KH6FMDYNHCZK2MAA4HWG34MN5E/action/author_attestation","sign_citation":"https://pith.science/pith/KH6FMDYNHCZK2MAA4HWG34MN5E/action/citation_signature","submit_replication":"https://pith.science/pith/KH6FMDYNHCZK2MAA4HWG34MN5E/action/replication_record"}},"created_at":"2026-07-04T15:57:34.906623+00:00","updated_at":"2026-07-04T15:57:34.906623+00:00"}