{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:ABDILB5X4EM2QICZKXPQUMNZCL","short_pith_number":"pith:ABDILB5X","schema_version":"1.0","canonical_sha256":"00468587b7e119a8205955df0a31b912f537f9bb7138e1153629040908300b24","source":{"kind":"arxiv","id":"1510.07429","version":1},"attestation_state":"computed","paper":{"title":"Pion Distribution Amplitude from Lattice QCD","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-lat","authors_text":"A. Sch\\\"afer, A. Sternbeck, M. G\\\"ockeler, P. P\\'erez-Rubio, R.W. Schiel, S. Collins, V.M. Braun","submitted_at":"2015-10-26T10:02:07Z","abstract_excerpt":"We have calculated the second moment of the pion light-cone distribution amplitude using two flavors of dynamical (clover) fermions on lattices of different volumes, lattice spacings between $0.06 \\, \\mathrm {fm}$ and $0.08 \\, \\mathrm {fm}$ and pion masses down to $m_\\pi\\sim 150 \\, \\mathrm {MeV}$. Our result for the second Gegenbauer coefficient is $a_2 = 0.1364(154)(145)$ and for the width parameter $\\langle \\xi^2 \\rangle = 0.2361(41)(39)$. Both numbers refer to the scale $\\mu=2 \\, \\mathrm {GeV}$in the $\\overline{\\text{MS}}$ scheme, the first error is statistical including the uncertainty of "},"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":"1510.07429","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2015-10-26T10:02:07Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"25e250a44ccf47e983bbe5e8365a0ce2634ea5bab75133f519e0157314bc2b30","abstract_canon_sha256":"21bfceed1db629fba444cda962357ec73b3829436d4e6ca56d7f12a91ec756e6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:29:14.102222Z","signature_b64":"BQyPHClEMYM2En0C2NXwkn9XwN9Xb/1YYM6y7j2Isu9sf9ggRUVv5e4INKT0I+2zx7wXgOyu1fAV95kZ+Sq4CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"00468587b7e119a8205955df0a31b912f537f9bb7138e1153629040908300b24","last_reissued_at":"2026-05-18T01:29:14.101471Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:29:14.101471Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Pion Distribution Amplitude from Lattice QCD","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-lat","authors_text":"A. Sch\\\"afer, A. Sternbeck, M. G\\\"ockeler, P. P\\'erez-Rubio, R.W. Schiel, S. Collins, V.M. Braun","submitted_at":"2015-10-26T10:02:07Z","abstract_excerpt":"We have calculated the second moment of the pion light-cone distribution amplitude using two flavors of dynamical (clover) fermions on lattices of different volumes, lattice spacings between $0.06 \\, \\mathrm {fm}$ and $0.08 \\, \\mathrm {fm}$ and pion masses down to $m_\\pi\\sim 150 \\, \\mathrm {MeV}$. Our result for the second Gegenbauer coefficient is $a_2 = 0.1364(154)(145)$ and for the width parameter $\\langle \\xi^2 \\rangle = 0.2361(41)(39)$. Both numbers refer to the scale $\\mu=2 \\, \\mathrm {GeV}$in the $\\overline{\\text{MS}}$ scheme, the first error is statistical including the uncertainty of "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.07429","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":"1510.07429","created_at":"2026-05-18T01:29:14.101602+00:00"},{"alias_kind":"arxiv_version","alias_value":"1510.07429v1","created_at":"2026-05-18T01:29:14.101602+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.07429","created_at":"2026-05-18T01:29:14.101602+00:00"},{"alias_kind":"pith_short_12","alias_value":"ABDILB5X4EM2","created_at":"2026-05-18T12:29:10.953037+00:00"},{"alias_kind":"pith_short_16","alias_value":"ABDILB5X4EM2QICZ","created_at":"2026-05-18T12:29:10.953037+00:00"},{"alias_kind":"pith_short_8","alias_value":"ABDILB5X","created_at":"2026-05-18T12:29:10.953037+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/ABDILB5X4EM2QICZKXPQUMNZCL","json":"https://pith.science/pith/ABDILB5X4EM2QICZKXPQUMNZCL.json","graph_json":"https://pith.science/api/pith-number/ABDILB5X4EM2QICZKXPQUMNZCL/graph.json","events_json":"https://pith.science/api/pith-number/ABDILB5X4EM2QICZKXPQUMNZCL/events.json","paper":"https://pith.science/paper/ABDILB5X"},"agent_actions":{"view_html":"https://pith.science/pith/ABDILB5X4EM2QICZKXPQUMNZCL","download_json":"https://pith.science/pith/ABDILB5X4EM2QICZKXPQUMNZCL.json","view_paper":"https://pith.science/paper/ABDILB5X","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1510.07429&json=true","fetch_graph":"https://pith.science/api/pith-number/ABDILB5X4EM2QICZKXPQUMNZCL/graph.json","fetch_events":"https://pith.science/api/pith-number/ABDILB5X4EM2QICZKXPQUMNZCL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ABDILB5X4EM2QICZKXPQUMNZCL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ABDILB5X4EM2QICZKXPQUMNZCL/action/storage_attestation","attest_author":"https://pith.science/pith/ABDILB5X4EM2QICZKXPQUMNZCL/action/author_attestation","sign_citation":"https://pith.science/pith/ABDILB5X4EM2QICZKXPQUMNZCL/action/citation_signature","submit_replication":"https://pith.science/pith/ABDILB5X4EM2QICZKXPQUMNZCL/action/replication_record"}},"created_at":"2026-05-18T01:29:14.101602+00:00","updated_at":"2026-05-18T01:29:14.101602+00:00"}