{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:DMGRVSMYHTRDVHAQ32RNBJU7YJ","short_pith_number":"pith:DMGRVSMY","schema_version":"1.0","canonical_sha256":"1b0d1ac9983ce23a9c10dea2d0a69fc24b34ebdc42666f63108acbb39df07b89","source":{"kind":"arxiv","id":"2207.04739","version":3},"attestation_state":"computed","paper":{"title":"Approximate N$^{3}$LO Parton Distribution Functions with Theoretical Uncertainties: MSHT20aN$^3$LO PDFs","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-ex"],"primary_cat":"hep-ph","authors_text":"J. McGowan, L. A. Harland-Lang, R. S. Thorne, T. Cridge","submitted_at":"2022-07-11T09:50:06Z","abstract_excerpt":"We present the first global analysis of parton distribution functions (PDFs) at approximate N$^{3}$LO in the strong coupling constant $\\alpha_{s}$, extending beyond the current highest NNLO achieved in PDF fits. To achieve this, we present a general formalism for the inclusion of theoretical uncertainties associated with the perturbative expansion in the strong coupling. We demonstrate how using the currently available knowledge surrounding the next highest order (N$^{3}$LO) in $\\alpha_{s}$ can provide consistent, justifiable and explainable approximate N$^{3}$LO (aN$^{3}$LO) PDFs. This includ"},"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":"2207.04739","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2022-07-11T09:50:06Z","cross_cats_sorted":["hep-ex"],"title_canon_sha256":"07ba1c94d42591cedc12d5731c596a0d92fe010d313f654c43acea4093c5677b","abstract_canon_sha256":"e61113c8ddbf64456e610f60747b7c82c1722552f0cf4ee483194ef1792f6a7b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:50:06.903454Z","signature_b64":"knKQWNxQZXlEZW9xm3w+fX4wXfU/fJgS8XKBsJX4jusiMCxTa5L3o+uxliZAnr9dy8diRTGjxy7TmI7/lwimCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1b0d1ac9983ce23a9c10dea2d0a69fc24b34ebdc42666f63108acbb39df07b89","last_reissued_at":"2026-07-05T05:50:06.902961Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:50:06.902961Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Approximate N$^{3}$LO Parton Distribution Functions with Theoretical Uncertainties: MSHT20aN$^3$LO PDFs","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-ex"],"primary_cat":"hep-ph","authors_text":"J. McGowan, L. A. Harland-Lang, R. S. Thorne, T. Cridge","submitted_at":"2022-07-11T09:50:06Z","abstract_excerpt":"We present the first global analysis of parton distribution functions (PDFs) at approximate N$^{3}$LO in the strong coupling constant $\\alpha_{s}$, extending beyond the current highest NNLO achieved in PDF fits. To achieve this, we present a general formalism for the inclusion of theoretical uncertainties associated with the perturbative expansion in the strong coupling. We demonstrate how using the currently available knowledge surrounding the next highest order (N$^{3}$LO) in $\\alpha_{s}$ can provide consistent, justifiable and explainable approximate N$^{3}$LO (aN$^{3}$LO) PDFs. This includ"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.04739","kind":"arxiv","version":3},"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/2207.04739/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":"2207.04739","created_at":"2026-07-05T05:50:06.903030+00:00"},{"alias_kind":"arxiv_version","alias_value":"2207.04739v3","created_at":"2026-07-05T05:50:06.903030+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.04739","created_at":"2026-07-05T05:50:06.903030+00:00"},{"alias_kind":"pith_short_12","alias_value":"DMGRVSMYHTRD","created_at":"2026-07-05T05:50:06.903030+00:00"},{"alias_kind":"pith_short_16","alias_value":"DMGRVSMYHTRDVHAQ","created_at":"2026-07-05T05:50:06.903030+00:00"},{"alias_kind":"pith_short_8","alias_value":"DMGRVSMY","created_at":"2026-07-05T05:50:06.903030+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":4,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2504.06689","citing_title":"Les Houches 2023 -- Physics at TeV Colliders: Report on the Standard Model Precision Wishlist","ref_index":25,"is_internal_anchor":false},{"citing_arxiv_id":"2604.11646","citing_title":"All-charm tetraquarks at hadron colliders: A high-precision fragmentation perspective","ref_index":110,"is_internal_anchor":false},{"citing_arxiv_id":"2604.09534","citing_title":"The four-loop non-singlet splitting functions in QCD","ref_index":33,"is_internal_anchor":false},{"citing_arxiv_id":"2604.14133","citing_title":"AI-assisted modeling and Bayesian inference of unpolarized quark transverse momentum distributions from Drell-Yan data","ref_index":52,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/DMGRVSMYHTRDVHAQ32RNBJU7YJ","json":"https://pith.science/pith/DMGRVSMYHTRDVHAQ32RNBJU7YJ.json","graph_json":"https://pith.science/api/pith-number/DMGRVSMYHTRDVHAQ32RNBJU7YJ/graph.json","events_json":"https://pith.science/api/pith-number/DMGRVSMYHTRDVHAQ32RNBJU7YJ/events.json","paper":"https://pith.science/paper/DMGRVSMY"},"agent_actions":{"view_html":"https://pith.science/pith/DMGRVSMYHTRDVHAQ32RNBJU7YJ","download_json":"https://pith.science/pith/DMGRVSMYHTRDVHAQ32RNBJU7YJ.json","view_paper":"https://pith.science/paper/DMGRVSMY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2207.04739&json=true","fetch_graph":"https://pith.science/api/pith-number/DMGRVSMYHTRDVHAQ32RNBJU7YJ/graph.json","fetch_events":"https://pith.science/api/pith-number/DMGRVSMYHTRDVHAQ32RNBJU7YJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DMGRVSMYHTRDVHAQ32RNBJU7YJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DMGRVSMYHTRDVHAQ32RNBJU7YJ/action/storage_attestation","attest_author":"https://pith.science/pith/DMGRVSMYHTRDVHAQ32RNBJU7YJ/action/author_attestation","sign_citation":"https://pith.science/pith/DMGRVSMYHTRDVHAQ32RNBJU7YJ/action/citation_signature","submit_replication":"https://pith.science/pith/DMGRVSMYHTRDVHAQ32RNBJU7YJ/action/replication_record"}},"created_at":"2026-07-05T05:50:06.903030+00:00","updated_at":"2026-07-05T05:50:06.903030+00:00"}