{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:W2ALZ24CIFT7VC3MX52WXCNY3L","short_pith_number":"pith:W2ALZ24C","schema_version":"1.0","canonical_sha256":"b680bceb824167fa8b6cbf756b89b8dacb9513fdc2c222521f32b82f11d02643","source":{"kind":"arxiv","id":"2109.15241","version":3},"attestation_state":"computed","paper":{"title":"Parton physics from a heavy-quark operator product expansion: Lattice QCD calculation of the second moment of the pion distribution amplitude","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","nucl-th"],"primary_cat":"hep-lat","authors_text":"Anthony Grebe, C.-J. David Lin, Issaku Kanamori, Robert Perry, Santanu Mondal, William Detmold, Yong Zhao","submitted_at":"2021-09-30T16:21:06Z","abstract_excerpt":"The pion light-cone distribution amplitude (LCDA) is a central non-perturbative object of interest for high-energy exclusive processes in quantum chromodynamics. In this article, the second Mellin moment of the pion LCDA is determined as a proof-of-concept calculation for the first numerical implementation of the heavy-quark operator product expansion (HOPE) method. The resulting value for the second Mellin moment, determined in quenched QCD at a pion mass of $m_\\pi=550$ MeV at a factorization scale of 2 GeV is $ \\langle \\xi^2 \\rangle = 0.210 \\pm 0.013\\text{ (stat.)} \\pm 0.034\\text{ (sys.)}$. "},"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":"2109.15241","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2021-09-30T16:21:06Z","cross_cats_sorted":["hep-ph","nucl-th"],"title_canon_sha256":"c78a823128ab91f6704ce88aea991d2c6c77508304b6c947e9300c1334cd68f0","abstract_canon_sha256":"7fbf99d2832670dad59bf99569b519a294d125899d8a81c6bc632404558c6059"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:58:54.507098Z","signature_b64":"9UF/+Wes3JJw+vrQ1QxJ/K54BGozIOtXp6CCccHBkutyU9uFRYI2kl5DTf8Q7WctTieo0RXv0p88WiEks+7qAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b680bceb824167fa8b6cbf756b89b8dacb9513fdc2c222521f32b82f11d02643","last_reissued_at":"2026-07-05T03:58:54.506547Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:58:54.506547Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Parton physics from a heavy-quark operator product expansion: Lattice QCD calculation of the second moment of the pion distribution amplitude","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","nucl-th"],"primary_cat":"hep-lat","authors_text":"Anthony Grebe, C.-J. David Lin, Issaku Kanamori, Robert Perry, Santanu Mondal, William Detmold, Yong Zhao","submitted_at":"2021-09-30T16:21:06Z","abstract_excerpt":"The pion light-cone distribution amplitude (LCDA) is a central non-perturbative object of interest for high-energy exclusive processes in quantum chromodynamics. In this article, the second Mellin moment of the pion LCDA is determined as a proof-of-concept calculation for the first numerical implementation of the heavy-quark operator product expansion (HOPE) method. The resulting value for the second Mellin moment, determined in quenched QCD at a pion mass of $m_\\pi=550$ MeV at a factorization scale of 2 GeV is $ \\langle \\xi^2 \\rangle = 0.210 \\pm 0.013\\text{ (stat.)} \\pm 0.034\\text{ (sys.)}$. "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2109.15241","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/2109.15241/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":"2109.15241","created_at":"2026-07-05T03:58:54.506613+00:00"},{"alias_kind":"arxiv_version","alias_value":"2109.15241v3","created_at":"2026-07-05T03:58:54.506613+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2109.15241","created_at":"2026-07-05T03:58:54.506613+00:00"},{"alias_kind":"pith_short_12","alias_value":"W2ALZ24CIFT7","created_at":"2026-07-05T03:58:54.506613+00:00"},{"alias_kind":"pith_short_16","alias_value":"W2ALZ24CIFT7VC3M","created_at":"2026-07-05T03:58:54.506613+00:00"},{"alias_kind":"pith_short_8","alias_value":"W2ALZ24C","created_at":"2026-07-05T03:58:54.506613+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.30193","citing_title":"Mellin Moments of the Unpolarized Gluon PDF in the Proton from Nonlocal Operators in Lattice QCD","ref_index":20,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/W2ALZ24CIFT7VC3MX52WXCNY3L","json":"https://pith.science/pith/W2ALZ24CIFT7VC3MX52WXCNY3L.json","graph_json":"https://pith.science/api/pith-number/W2ALZ24CIFT7VC3MX52WXCNY3L/graph.json","events_json":"https://pith.science/api/pith-number/W2ALZ24CIFT7VC3MX52WXCNY3L/events.json","paper":"https://pith.science/paper/W2ALZ24C"},"agent_actions":{"view_html":"https://pith.science/pith/W2ALZ24CIFT7VC3MX52WXCNY3L","download_json":"https://pith.science/pith/W2ALZ24CIFT7VC3MX52WXCNY3L.json","view_paper":"https://pith.science/paper/W2ALZ24C","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2109.15241&json=true","fetch_graph":"https://pith.science/api/pith-number/W2ALZ24CIFT7VC3MX52WXCNY3L/graph.json","fetch_events":"https://pith.science/api/pith-number/W2ALZ24CIFT7VC3MX52WXCNY3L/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/W2ALZ24CIFT7VC3MX52WXCNY3L/action/timestamp_anchor","attest_storage":"https://pith.science/pith/W2ALZ24CIFT7VC3MX52WXCNY3L/action/storage_attestation","attest_author":"https://pith.science/pith/W2ALZ24CIFT7VC3MX52WXCNY3L/action/author_attestation","sign_citation":"https://pith.science/pith/W2ALZ24CIFT7VC3MX52WXCNY3L/action/citation_signature","submit_replication":"https://pith.science/pith/W2ALZ24CIFT7VC3MX52WXCNY3L/action/replication_record"}},"created_at":"2026-07-05T03:58:54.506613+00:00","updated_at":"2026-07-05T03:58:54.506613+00:00"}