{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1999:5QGUTW7IG7NB6XA65TQSJMEWPA","short_pith_number":"pith:5QGUTW7I","schema_version":"1.0","canonical_sha256":"ec0d49dbe837da1f5c1eece124b0967814f20a5cdafc255f7f9fc33af6e3a5f9","source":{"kind":"arxiv","id":"hep-ph/9905342","version":1},"attestation_state":"computed","paper":{"title":"On scale dependence of QCD string operators","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"L. Mankiewicz, N. Kivel","submitted_at":"1999-05-14T12:27:18Z","abstract_excerpt":"We have obtained a general solution of evolution equations for QCD twist-2 string operators in form of expansion over complete set of orthogonal eigenfunctions of evolution kernels in coordinate-space representation. In the leading logarithmic approximation the eigenfunctions can be determined using constraints imposed by conformal symmetry. Explicit formulae for the LO scale-dependence of quark and gluon twist-2 string operators are given."},"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":"hep-ph/9905342","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1999-05-14T12:27:18Z","cross_cats_sorted":[],"title_canon_sha256":"0cd613b65cb981bec63ad2a71eddd08f5946b7c8855f322b45d07c3b6190cec2","abstract_canon_sha256":"ed8680f6dba872ec7ae62d1234d63fbfd5bc4158dc24a5fe33f066ace2654947"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:14:17.220835Z","signature_b64":"caQtidkvH3dksUY33kUJ2+rJ35xmU7tcYH+wMB3Vp0Tjzsx2dZq0ez7HI72Vq5/Wc1kfYH1ksltTXhSYuImZCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ec0d49dbe837da1f5c1eece124b0967814f20a5cdafc255f7f9fc33af6e3a5f9","last_reissued_at":"2026-07-04T16:14:17.220363Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:14:17.220363Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On scale dependence of QCD string operators","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"L. Mankiewicz, N. Kivel","submitted_at":"1999-05-14T12:27:18Z","abstract_excerpt":"We have obtained a general solution of evolution equations for QCD twist-2 string operators in form of expansion over complete set of orthogonal eigenfunctions of evolution kernels in coordinate-space representation. In the leading logarithmic approximation the eigenfunctions can be determined using constraints imposed by conformal symmetry. Explicit formulae for the LO scale-dependence of quark and gluon twist-2 string operators are given."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9905342","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-ph/9905342/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":"hep-ph/9905342","created_at":"2026-07-04T16:14:17.220421+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9905342v1","created_at":"2026-07-04T16:14:17.220421+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9905342","created_at":"2026-07-04T16:14:17.220421+00:00"},{"alias_kind":"pith_short_12","alias_value":"5QGUTW7IG7NB","created_at":"2026-07-04T16:14:17.220421+00:00"},{"alias_kind":"pith_short_16","alias_value":"5QGUTW7IG7NB6XA6","created_at":"2026-07-04T16:14:17.220421+00:00"},{"alias_kind":"pith_short_8","alias_value":"5QGUTW7I","created_at":"2026-07-04T16:14:17.220421+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/5QGUTW7IG7NB6XA65TQSJMEWPA","json":"https://pith.science/pith/5QGUTW7IG7NB6XA65TQSJMEWPA.json","graph_json":"https://pith.science/api/pith-number/5QGUTW7IG7NB6XA65TQSJMEWPA/graph.json","events_json":"https://pith.science/api/pith-number/5QGUTW7IG7NB6XA65TQSJMEWPA/events.json","paper":"https://pith.science/paper/5QGUTW7I"},"agent_actions":{"view_html":"https://pith.science/pith/5QGUTW7IG7NB6XA65TQSJMEWPA","download_json":"https://pith.science/pith/5QGUTW7IG7NB6XA65TQSJMEWPA.json","view_paper":"https://pith.science/paper/5QGUTW7I","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-ph/9905342&json=true","fetch_graph":"https://pith.science/api/pith-number/5QGUTW7IG7NB6XA65TQSJMEWPA/graph.json","fetch_events":"https://pith.science/api/pith-number/5QGUTW7IG7NB6XA65TQSJMEWPA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5QGUTW7IG7NB6XA65TQSJMEWPA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5QGUTW7IG7NB6XA65TQSJMEWPA/action/storage_attestation","attest_author":"https://pith.science/pith/5QGUTW7IG7NB6XA65TQSJMEWPA/action/author_attestation","sign_citation":"https://pith.science/pith/5QGUTW7IG7NB6XA65TQSJMEWPA/action/citation_signature","submit_replication":"https://pith.science/pith/5QGUTW7IG7NB6XA65TQSJMEWPA/action/replication_record"}},"created_at":"2026-07-04T16:14:17.220421+00:00","updated_at":"2026-07-04T16:14:17.220421+00:00"}