{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1994:3UUXKWJJ7REDQDQLERXZ4XXQXP","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":"3ea93910b49ddcf65dfa70cf6e0059d61e5453fa87ca36d784aa932e72a9c38c","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"1994-11-19T00:09:11Z","title_canon_sha256":"f249eae4c6fc90163ab15ad1ff86bcc5e40cb1130833fd9fec8f1bbd0e17f028"},"schema_version":"1.0","source":{"id":"hep-ph/9411338","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9411338","created_at":"2026-05-18T01:06:35Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9411338v1","created_at":"2026-05-18T01:06:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9411338","created_at":"2026-05-18T01:06:35Z"},{"alias_kind":"pith_short_12","alias_value":"3UUXKWJJ7RED","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"3UUXKWJJ7REDQDQL","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"3UUXKWJJ","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:bc1bfebc7c2cd453903a7482293ad04c7d2861b676021f28ca165fcd7e15b9a4","target":"graph","created_at":"2026-05-18T01:06:35Z","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"},"paper":{"abstract_excerpt":"The evolution of the pion distribution amplitude in next-to-leading order is studied for a fixed and a running coupling constant. In both cases, the evolution provides a logarithmic modification in the endpoint region. Assuming a simple parameterization of the distribution amplitude at a scale of $Q_0\\sim 0.5\\ \\rm GeV$, it is shown numerically that these effects are large enough at $Q\\sim 2\\ \\rm GeV$ that they have to be taken into account in the next-to-leading-order analysis for exclusive processes. Alternatively, by introducing a new distribution amplitude that evolves more smoothly, this l","authors_text":"Dieter M\\\"uller","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"1994-11-19T00:09:11Z","title":"The Evolution of the Pion Distribution Amplitude in Next-to-Leading Order"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9411338","kind":"arxiv","version":1},"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":"sha256:89e52297d85c7cd1ce6698f7097a0d0ae72e8138fc78e67e21fca41f60a8ab89","target":"record","created_at":"2026-05-18T01:06:35Z","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":"3ea93910b49ddcf65dfa70cf6e0059d61e5453fa87ca36d784aa932e72a9c38c","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"1994-11-19T00:09:11Z","title_canon_sha256":"f249eae4c6fc90163ab15ad1ff86bcc5e40cb1130833fd9fec8f1bbd0e17f028"},"schema_version":"1.0","source":{"id":"hep-ph/9411338","kind":"arxiv","version":1}},"canonical_sha256":"dd29755929fc48380e0b246f9e5ef0bbce055e9c5ffc9c1de37f1cf467d7fe48","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dd29755929fc48380e0b246f9e5ef0bbce055e9c5ffc9c1de37f1cf467d7fe48","first_computed_at":"2026-05-18T01:06:35.397153Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:06:35.397153Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sLs53lLid/yl/N6qYmwuo9PYxMAbMmE12gEifhO4pYNiqEYQdokRsAPnAa8O7Dx8dGqQcsFQGzV0M0v4VWBfCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:06:35.397828Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/9411338","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:89e52297d85c7cd1ce6698f7097a0d0ae72e8138fc78e67e21fca41f60a8ab89","sha256:bc1bfebc7c2cd453903a7482293ad04c7d2861b676021f28ca165fcd7e15b9a4"],"state_sha256":"678da42e898271c159d8f61e55d46dc4642e2ba203c5c45f8ea3c379358b2f3b"}