{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:LUIXF4Z52LMKPY35ZORWFBEIYC","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"cc415c7be3d3ec6eccd4b443cf6353ac0c6715b76d2c4f0eafe0530d2782222e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2021-07-06T17:25:18Z","title_canon_sha256":"46f93a5ae6ef6cc535cf130f395b8e3a13fe379718cf0ed3553cf77fc6a14ec4"},"schema_version":"1.0","source":{"id":"2107.02758","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2107.02758","created_at":"2026-07-05T04:38:43Z"},{"alias_kind":"arxiv_version","alias_value":"2107.02758v4","created_at":"2026-07-05T04:38:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2107.02758","created_at":"2026-07-05T04:38:43Z"},{"alias_kind":"pith_short_12","alias_value":"LUIXF4Z52LMK","created_at":"2026-07-05T04:38:43Z"},{"alias_kind":"pith_short_16","alias_value":"LUIXF4Z52LMKPY35","created_at":"2026-07-05T04:38:43Z"},{"alias_kind":"pith_short_8","alias_value":"LUIXF4Z5","created_at":"2026-07-05T04:38:43Z"}],"graph_snapshots":[{"event_id":"sha256:98f86d3ed936eef531b3870290d3af4cb5e264b659fff90b93d2aaae32e75efa","target":"graph","created_at":"2026-07-05T04:38:43Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2107.02758/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In the paper, we investigate the moments $\\langle\\xi_{2;a_1}^{\\|;n}\\rangle$ of the axial-vector $a_1(1260)$-meson distribution amplitude by using the QCD sum rules approach under the background field theory. By considering the vacuum condensates up to dimension-six and the perturbative part up to next-to-leading order QCD corrections, its first five moments at an initial scale $\\mu_0=1~{\\rm GeV}$ are $\\langle\\xi_{2;a_1}^{\\|;2}\\rangle|_{\\mu_0} = 0.223 \\pm 0.029$, $\\langle\\xi_{2;a_1}^{\\|;4}\\rangle|_{\\mu_0} = 0.098 \\pm 0.008$, $\\langle\\xi_{2;a_1}^{\\|;6}\\rangle|_{\\mu_0} = 0.056 \\pm 0.006$, $\\langl","authors_text":"Dan-Dan Hu, Hai-Bing Fu, Tao Zhong, Xing-Gang Wu, Zai-Hui Wu","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2021-07-06T17:25:18Z","title":"$a_1(1260)$-meson longitudinal twist-2 distribution amplitude and the $D\\to a_1(1260)\\ell^+\\nu_\\ell$ decay processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2107.02758","kind":"arxiv","version":4},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:f8323210dfd014887eb1cbbf77a47619590896cbb93f9ce5b288e0eedab531c3","target":"record","created_at":"2026-07-05T04:38:43Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"cc415c7be3d3ec6eccd4b443cf6353ac0c6715b76d2c4f0eafe0530d2782222e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2021-07-06T17:25:18Z","title_canon_sha256":"46f93a5ae6ef6cc535cf130f395b8e3a13fe379718cf0ed3553cf77fc6a14ec4"},"schema_version":"1.0","source":{"id":"2107.02758","kind":"arxiv","version":4}},"canonical_sha256":"5d1172f33dd2d8a7e37dcba3628488c0b85ea581d073d2476e9669bf9f11cfcd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5d1172f33dd2d8a7e37dcba3628488c0b85ea581d073d2476e9669bf9f11cfcd","first_computed_at":"2026-07-05T04:38:43.344615Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:38:43.344615Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XNo4deqSvG/fZ+BKsaDeCr+HcdrqDnzKWfLB03Z8dssGk6F/TRE6o7XiAH6gojf24ho2JuDjLFsM6xa/OyieBg==","signature_status":"signed_v1","signed_at":"2026-07-05T04:38:43.345002Z","signed_message":"canonical_sha256_bytes"},"source_id":"2107.02758","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f8323210dfd014887eb1cbbf77a47619590896cbb93f9ce5b288e0eedab531c3","sha256:98f86d3ed936eef531b3870290d3af4cb5e264b659fff90b93d2aaae32e75efa"],"state_sha256":"a6fd44623c57de04cfb8595e9708afe8f0e4ac2c37bfb0e37692f7b894644b10"}