{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:BUJQQTLFHUL6L6NQBQMFGQLI5L","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":"3de7914b002c7499e53fc5e6da66ef89909c6d384af05906b9259bb88f666885","cross_cats_sorted":["hep-ph"],"license":"","primary_cat":"hep-th","submitted_at":"2006-12-22T14:35:03Z","title_canon_sha256":"a133ffcff7b753790264c32b289bf1c1b0bb490850843b19026108d6a1758ef0"},"schema_version":"1.0","source":{"id":"hep-th/0612247","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0612247","created_at":"2026-07-04T15:25:20Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0612247v3","created_at":"2026-07-04T15:25:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0612247","created_at":"2026-07-04T15:25:20Z"},{"alias_kind":"pith_short_12","alias_value":"BUJQQTLFHUL6","created_at":"2026-07-04T15:25:20Z"},{"alias_kind":"pith_short_16","alias_value":"BUJQQTLFHUL6L6NQ","created_at":"2026-07-04T15:25:20Z"},{"alias_kind":"pith_short_8","alias_value":"BUJQQTLF","created_at":"2026-07-04T15:25:20Z"}],"graph_snapshots":[{"event_id":"sha256:68b4643396281b8d5a36ecef4dccf0ed5254dbcb335dc7d3e932a190bb806a3e","target":"graph","created_at":"2026-07-04T15:25:20Z","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/hep-th/0612247/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Anomalous dimensions of Wilson operators with large Lorentz spin scale logarithmically with the spin. Recent multi-loop QCD calculations of twist-two anomalous dimensions revealed the existence of interesting structure of the subleading corrections suppressed by powers of the Lorentz spin. We argue that this structure is a manifestation of the `self-tuning' property of the multi-loop anomalous dimensions - in a conformal gauge theory, the anomalous dimension of Wilson operators is a function of their conformal spin which is modified in higher loops by an amount proportional to the anomalous di","authors_text":"B.Basso, G.P.Korchemsky","cross_cats":["hep-ph"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2006-12-22T14:35:03Z","title":"Anomalous dimensions of high-spin operators beyond the leading order"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0612247","kind":"arxiv","version":3},"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:c8632e82622146caf8ba4275993a4765aed1ac96e111db772109349148d6897e","target":"record","created_at":"2026-07-04T15:25:20Z","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":"3de7914b002c7499e53fc5e6da66ef89909c6d384af05906b9259bb88f666885","cross_cats_sorted":["hep-ph"],"license":"","primary_cat":"hep-th","submitted_at":"2006-12-22T14:35:03Z","title_canon_sha256":"a133ffcff7b753790264c32b289bf1c1b0bb490850843b19026108d6a1758ef0"},"schema_version":"1.0","source":{"id":"hep-th/0612247","kind":"arxiv","version":3}},"canonical_sha256":"0d13084d653d17e5f9b00c18534168eac749c7f1f161ced70ea74ee7b98cf97d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0d13084d653d17e5f9b00c18534168eac749c7f1f161ced70ea74ee7b98cf97d","first_computed_at":"2026-07-04T15:25:20.179684Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:25:20.179684Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Vav1WzoYYT5voSwGjwdtCJZtRiHKuyqQQ+AXw27LxfjKqjrOSXpCksq2uyH5DyoD1UBR5D7MDSOhf1p4DN0dCA==","signature_status":"signed_v1","signed_at":"2026-07-04T15:25:20.180047Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0612247","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c8632e82622146caf8ba4275993a4765aed1ac96e111db772109349148d6897e","sha256:68b4643396281b8d5a36ecef4dccf0ed5254dbcb335dc7d3e932a190bb806a3e"],"state_sha256":"c60d88dc4e6c47aa9933ba2a0576d65357f055c6463dbdaf8582872a892a5fda"}