{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:6VMQNYC7M7TUEN3ED63IY7NAMC","short_pith_number":"pith:6VMQNYC7","schema_version":"1.0","canonical_sha256":"f55906e05f67e74237641fb68c7da06088c877c85b302e220b1831f0710b33d4","source":{"kind":"arxiv","id":"2208.02297","version":2},"attestation_state":"computed","paper":{"title":"Continuum-extrapolated NNLO Valence PDF of Pion at the Physical Point","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":["hep-ex","hep-ph","nucl-ex","nucl-th"],"primary_cat":"hep-lat","authors_text":"Andrew D. Hanlon, Kai Zhou, Nikhil Karthik, Peter Petreczky, Philipp Scior, Sergey Syritsyn, Shuzhe Shi, Swagato Mukherjee, Xiang Gao, Yong Zhao","submitted_at":"2022-08-03T18:28:48Z","abstract_excerpt":"We present lattice QCD calculations of valence parton distribution function (PDF) of pion employing next-to-next-leading-order (NNLO) perturbative QCD matching. Our calculations are based on three gauge ensembles of 2+1 flavor highly improved staggered quarks and Wilson--Clover valance quarks, corresponding to pion mass $m_\\pi=140$~MeV at a lattice spacing $a=0.076$~fm and $m_\\pi=300$~MeV at $a=0.04, 0.06$~fm. This enables us to present, for the first time, continuum-extrapolated lattice QCD results for NNLO valence PDF of the pion at the physical point. Applying leading-twist expansion for re"},"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":"2208.02297","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"hep-lat","submitted_at":"2022-08-03T18:28:48Z","cross_cats_sorted":["hep-ex","hep-ph","nucl-ex","nucl-th"],"title_canon_sha256":"4c0a52f066d8275f11ab6082166bd160380dea94efe3ec97d8be3e7976dd4faf","abstract_canon_sha256":"c583e59a7aa831d24c92a81c69eb205ab67bab3403ac98bf16e7a94b0b8ada6b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:28:46.686798Z","signature_b64":"6juC/wXFaz4vrpwaOheAfwU8V1uJSFKdCJomKNx6i5VqGx76Ir/RHhtLeATx+y1jZv9CmfsFRJipgA8kFzRZCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f55906e05f67e74237641fb68c7da06088c877c85b302e220b1831f0710b33d4","last_reissued_at":"2026-07-05T05:28:46.686312Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:28:46.686312Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Continuum-extrapolated NNLO Valence PDF of Pion at the Physical Point","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":["hep-ex","hep-ph","nucl-ex","nucl-th"],"primary_cat":"hep-lat","authors_text":"Andrew D. Hanlon, Kai Zhou, Nikhil Karthik, Peter Petreczky, Philipp Scior, Sergey Syritsyn, Shuzhe Shi, Swagato Mukherjee, Xiang Gao, Yong Zhao","submitted_at":"2022-08-03T18:28:48Z","abstract_excerpt":"We present lattice QCD calculations of valence parton distribution function (PDF) of pion employing next-to-next-leading-order (NNLO) perturbative QCD matching. Our calculations are based on three gauge ensembles of 2+1 flavor highly improved staggered quarks and Wilson--Clover valance quarks, corresponding to pion mass $m_\\pi=140$~MeV at a lattice spacing $a=0.076$~fm and $m_\\pi=300$~MeV at $a=0.04, 0.06$~fm. This enables us to present, for the first time, continuum-extrapolated lattice QCD results for NNLO valence PDF of the pion at the physical point. Applying leading-twist expansion for re"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2208.02297","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/2208.02297/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":"2208.02297","created_at":"2026-07-05T05:28:46.686378+00:00"},{"alias_kind":"arxiv_version","alias_value":"2208.02297v2","created_at":"2026-07-05T05:28:46.686378+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2208.02297","created_at":"2026-07-05T05:28:46.686378+00:00"},{"alias_kind":"pith_short_12","alias_value":"6VMQNYC7M7TU","created_at":"2026-07-05T05:28:46.686378+00:00"},{"alias_kind":"pith_short_16","alias_value":"6VMQNYC7M7TUEN3E","created_at":"2026-07-05T05:28:46.686378+00:00"},{"alias_kind":"pith_short_8","alias_value":"6VMQNYC7","created_at":"2026-07-05T05:28:46.686378+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.28102","citing_title":"Mellin Moments of Pion and Kaon Unpolarized PDFs from Nonlocal Operators in Lattice QCD","ref_index":54,"is_internal_anchor":false},{"citing_arxiv_id":"2512.06121","citing_title":"Pion and Kaon PDFs from Lattice QCD via Large Momentum Effective Theory and Short-Distance Factorization","ref_index":45,"is_internal_anchor":false},{"citing_arxiv_id":"2603.28604","citing_title":"Hadron Structure from lattice QCD in the context of the Electron-Ion Collider","ref_index":75,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/6VMQNYC7M7TUEN3ED63IY7NAMC","json":"https://pith.science/pith/6VMQNYC7M7TUEN3ED63IY7NAMC.json","graph_json":"https://pith.science/api/pith-number/6VMQNYC7M7TUEN3ED63IY7NAMC/graph.json","events_json":"https://pith.science/api/pith-number/6VMQNYC7M7TUEN3ED63IY7NAMC/events.json","paper":"https://pith.science/paper/6VMQNYC7"},"agent_actions":{"view_html":"https://pith.science/pith/6VMQNYC7M7TUEN3ED63IY7NAMC","download_json":"https://pith.science/pith/6VMQNYC7M7TUEN3ED63IY7NAMC.json","view_paper":"https://pith.science/paper/6VMQNYC7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2208.02297&json=true","fetch_graph":"https://pith.science/api/pith-number/6VMQNYC7M7TUEN3ED63IY7NAMC/graph.json","fetch_events":"https://pith.science/api/pith-number/6VMQNYC7M7TUEN3ED63IY7NAMC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6VMQNYC7M7TUEN3ED63IY7NAMC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6VMQNYC7M7TUEN3ED63IY7NAMC/action/storage_attestation","attest_author":"https://pith.science/pith/6VMQNYC7M7TUEN3ED63IY7NAMC/action/author_attestation","sign_citation":"https://pith.science/pith/6VMQNYC7M7TUEN3ED63IY7NAMC/action/citation_signature","submit_replication":"https://pith.science/pith/6VMQNYC7M7TUEN3ED63IY7NAMC/action/replication_record"}},"created_at":"2026-07-05T05:28:46.686378+00:00","updated_at":"2026-07-05T05:28:46.686378+00:00"}