{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:LUIXF4Z52LMKPY35ZORWFBEIYC","short_pith_number":"pith:LUIXF4Z5","canonical_record":{"source":{"id":"2107.02758","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2021-07-06T17:25:18Z","cross_cats_sorted":[],"title_canon_sha256":"46f93a5ae6ef6cc535cf130f395b8e3a13fe379718cf0ed3553cf77fc6a14ec4","abstract_canon_sha256":"cc415c7be3d3ec6eccd4b443cf6353ac0c6715b76d2c4f0eafe0530d2782222e"},"schema_version":"1.0"},"canonical_sha256":"5d1172f33dd2d8a7e37dcba3628488c0b85ea581d073d2476e9669bf9f11cfcd","source":{"kind":"arxiv","id":"2107.02758","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:LUIXF4Z52LMKPY35ZORWFBEIYC","target":"record","payload":{"canonical_record":{"source":{"id":"2107.02758","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2021-07-06T17:25:18Z","cross_cats_sorted":[],"title_canon_sha256":"46f93a5ae6ef6cc535cf130f395b8e3a13fe379718cf0ed3553cf77fc6a14ec4","abstract_canon_sha256":"cc415c7be3d3ec6eccd4b443cf6353ac0c6715b76d2c4f0eafe0530d2782222e"},"schema_version":"1.0"},"canonical_sha256":"5d1172f33dd2d8a7e37dcba3628488c0b85ea581d073d2476e9669bf9f11cfcd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:38:43.345002Z","signature_b64":"XNo4deqSvG/fZ+BKsaDeCr+HcdrqDnzKWfLB03Z8dssGk6F/TRE6o7XiAH6gojf24ho2JuDjLFsM6xa/OyieBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5d1172f33dd2d8a7e37dcba3628488c0b85ea581d073d2476e9669bf9f11cfcd","last_reissued_at":"2026-07-05T04:38:43.344615Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:38:43.344615Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2107.02758","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T04:38:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gzLX2611adqNT7UkCPxjFvINUbFfFv1WLNW1hanXe4k6U0OtJaWQzOhcTDgrSwXR/iM1NPGeA5+BGKo7QLhDAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T10:54:47.689805Z"},"content_sha256":"f8323210dfd014887eb1cbbf77a47619590896cbb93f9ce5b288e0eedab531c3","schema_version":"1.0","event_id":"sha256:f8323210dfd014887eb1cbbf77a47619590896cbb93f9ce5b288e0eedab531c3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:LUIXF4Z52LMKPY35ZORWFBEIYC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"$a_1(1260)$-meson longitudinal twist-2 distribution amplitude and the $D\\to a_1(1260)\\ell^+\\nu_\\ell$ decay processes","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Dan-Dan Hu, Hai-Bing Fu, Tao Zhong, Xing-Gang Wu, Zai-Hui Wu","submitted_at":"2021-07-06T17:25:18Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2107.02758","kind":"arxiv","version":4},"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/2107.02758/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T04:38:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4kA++AK3jTobEvrAuea5sYLHAyMErexrBtiDdEfx0DiWITswd+tWlg35IFsOMJD7+YXz3bh2GOaF4n8ci8u2AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T10:54:47.690196Z"},"content_sha256":"98f86d3ed936eef531b3870290d3af4cb5e264b659fff90b93d2aaae32e75efa","schema_version":"1.0","event_id":"sha256:98f86d3ed936eef531b3870290d3af4cb5e264b659fff90b93d2aaae32e75efa"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LUIXF4Z52LMKPY35ZORWFBEIYC/bundle.json","state_url":"https://pith.science/pith/LUIXF4Z52LMKPY35ZORWFBEIYC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LUIXF4Z52LMKPY35ZORWFBEIYC/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-03T10:54:47Z","links":{"resolver":"https://pith.science/pith/LUIXF4Z52LMKPY35ZORWFBEIYC","bundle":"https://pith.science/pith/LUIXF4Z52LMKPY35ZORWFBEIYC/bundle.json","state":"https://pith.science/pith/LUIXF4Z52LMKPY35ZORWFBEIYC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LUIXF4Z52LMKPY35ZORWFBEIYC/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8wQUQeQev4q0RDwGwNrCMhu1P2WNezF0/I9dU6YcrHqu5+k+A/z+UitkI+x6l7p9QFc7zpE4h8/DAeHQMIyaDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T10:54:47.693056Z","bundle_sha256":"dfe9dd1c531113d45f3b5caaefcd04e98b4dd1c7d6996cbb71a28347b2fd9916"}}