{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:BLSEMDEW2FAI277QNN2D2P46P2","short_pith_number":"pith:BLSEMDEW","schema_version":"1.0","canonical_sha256":"0ae4460c96d1408d7ff06b743d3f9e7e9077d1d84290a7ccf434b521f5e145ee","source":{"kind":"arxiv","id":"1605.05541","version":1},"attestation_state":"computed","paper":{"title":"The Complete $O(\\alpha_s^2)$ Non-Singlet Heavy Flavor Corrections to the Structure Functions $g_{1,2}^{ep}(x,Q^2)$, $F_{1,2,L}^{ep}(x,Q^2)$, $F_{1,2,3}^{\\nu(\\bar{\\nu})}(x,Q^2)$ and the Associated Sum Rules","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-ex"],"primary_cat":"hep-ph","authors_text":"Abilio De Freitas, Giulio Falcioni, Johannes Bl\\\"umlein","submitted_at":"2016-05-18T12:10:35Z","abstract_excerpt":"We calculate analytically the flavor non-singlet $O(\\alpha_s^2)$ massive Wilson coefficients for the inclusive neutral current non-singlet structure functions $F_{1,2,L}^{ep}(x,Q^2)$ and $g_{1,2}^{ep}(x,Q^2)$ and charged current non-singlet structure functions $F_{1,2,3}^{\\nu(\\bar{\\nu})p}(x,Q^2)$, at general virtualities $Q^2$ in the deep-inelastic region. Numerical results are presented. We illustrate the transition from low to large virtualities for these observables, which may be contrasted to basic assumptions made in the so-called variable flavor number scheme. We also derive the correspo"},"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":"1605.05541","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2016-05-18T12:10:35Z","cross_cats_sorted":["hep-ex"],"title_canon_sha256":"8c2a461f157facc8242a236a04d122c52cee2ba688ecb027522f855d4779a9e5","abstract_canon_sha256":"bd28e3f45366347785d4da53816b5ed88c8e1f9ce1788f7a3a6b63c37fe90cae"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:08:17.010580Z","signature_b64":"Vl/kgI8JVeSVpkknB2fe+J8iArG/cN6vyY1DSJkk7So/R46qk7hPevuoycbEhSN+EycWfm4ArHb2BXSDMArPDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0ae4460c96d1408d7ff06b743d3f9e7e9077d1d84290a7ccf434b521f5e145ee","last_reissued_at":"2026-05-18T01:08:17.009891Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:08:17.009891Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Complete $O(\\alpha_s^2)$ Non-Singlet Heavy Flavor Corrections to the Structure Functions $g_{1,2}^{ep}(x,Q^2)$, $F_{1,2,L}^{ep}(x,Q^2)$, $F_{1,2,3}^{\\nu(\\bar{\\nu})}(x,Q^2)$ and the Associated Sum Rules","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-ex"],"primary_cat":"hep-ph","authors_text":"Abilio De Freitas, Giulio Falcioni, Johannes Bl\\\"umlein","submitted_at":"2016-05-18T12:10:35Z","abstract_excerpt":"We calculate analytically the flavor non-singlet $O(\\alpha_s^2)$ massive Wilson coefficients for the inclusive neutral current non-singlet structure functions $F_{1,2,L}^{ep}(x,Q^2)$ and $g_{1,2}^{ep}(x,Q^2)$ and charged current non-singlet structure functions $F_{1,2,3}^{\\nu(\\bar{\\nu})p}(x,Q^2)$, at general virtualities $Q^2$ in the deep-inelastic region. Numerical results are presented. We illustrate the transition from low to large virtualities for these observables, which may be contrasted to basic assumptions made in the so-called variable flavor number scheme. We also derive the correspo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.05541","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":"1605.05541","created_at":"2026-05-18T01:08:17.009989+00:00"},{"alias_kind":"arxiv_version","alias_value":"1605.05541v1","created_at":"2026-05-18T01:08:17.009989+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.05541","created_at":"2026-05-18T01:08:17.009989+00:00"},{"alias_kind":"pith_short_12","alias_value":"BLSEMDEW2FAI","created_at":"2026-05-18T12:30:07.202191+00:00"},{"alias_kind":"pith_short_16","alias_value":"BLSEMDEW2FAI277Q","created_at":"2026-05-18T12:30:07.202191+00:00"},{"alias_kind":"pith_short_8","alias_value":"BLSEMDEW","created_at":"2026-05-18T12:30:07.202191+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/BLSEMDEW2FAI277QNN2D2P46P2","json":"https://pith.science/pith/BLSEMDEW2FAI277QNN2D2P46P2.json","graph_json":"https://pith.science/api/pith-number/BLSEMDEW2FAI277QNN2D2P46P2/graph.json","events_json":"https://pith.science/api/pith-number/BLSEMDEW2FAI277QNN2D2P46P2/events.json","paper":"https://pith.science/paper/BLSEMDEW"},"agent_actions":{"view_html":"https://pith.science/pith/BLSEMDEW2FAI277QNN2D2P46P2","download_json":"https://pith.science/pith/BLSEMDEW2FAI277QNN2D2P46P2.json","view_paper":"https://pith.science/paper/BLSEMDEW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1605.05541&json=true","fetch_graph":"https://pith.science/api/pith-number/BLSEMDEW2FAI277QNN2D2P46P2/graph.json","fetch_events":"https://pith.science/api/pith-number/BLSEMDEW2FAI277QNN2D2P46P2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BLSEMDEW2FAI277QNN2D2P46P2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BLSEMDEW2FAI277QNN2D2P46P2/action/storage_attestation","attest_author":"https://pith.science/pith/BLSEMDEW2FAI277QNN2D2P46P2/action/author_attestation","sign_citation":"https://pith.science/pith/BLSEMDEW2FAI277QNN2D2P46P2/action/citation_signature","submit_replication":"https://pith.science/pith/BLSEMDEW2FAI277QNN2D2P46P2/action/replication_record"}},"created_at":"2026-05-18T01:08:17.009989+00:00","updated_at":"2026-05-18T01:08:17.009989+00:00"}