{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:KZSQ7MLVKMMGO3EZO73FBY334L","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":"252901e7157a10489551315472b043d02145029a6bcb1cc3f72dcb6d20d660da","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-08-05T11:45:12Z","title_canon_sha256":"a3590a252421cdecf39c752ffa74bc46a4d962ce848ed4065dc4be893dde0489"},"schema_version":"1.0","source":{"id":"1008.0952","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.0952","created_at":"2026-05-18T04:33:38Z"},{"alias_kind":"arxiv_version","alias_value":"1008.0952v1","created_at":"2026-05-18T04:33:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.0952","created_at":"2026-05-18T04:33:38Z"},{"alias_kind":"pith_short_12","alias_value":"KZSQ7MLVKMMG","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"KZSQ7MLVKMMGO3EZ","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"KZSQ7MLV","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:fb4925f7e3e7c84c31b0eebb1a096e91989b5be07c8099921946b5926334e367","target":"graph","created_at":"2026-05-18T04:33:38Z","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":"We discuss the large-x behaviour of the splitting functions P_qg and P_gq and of flavour-singlet coefficient functions, such as the gluon contributions C_2,g and C_L,g to the structure functions F_2,L, in massless perturbative QCD. These quantities are suppressed by one or two powers of 1-x with respect to the 1/(1-x) terms which are the subject of the well-known threshold exponentiation. We show that the double-logarithmic contributions to P_qg, P_gq and C_L at order alpha_s^4 can be predicted from known third-order results and present, as a first step towards a full all-order generalization,","authors_text":"Amsterdam), A. Vogt, Dept. Math.), G. Soar (Liverpool U., J.A.M. Vermaseren (NIKHEF, S. Moch (DESY, Zeuthen)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-08-05T11:45:12Z","title":"On higher-order flavour-singlet splitting and coefficient functions at large x"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.0952","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":"sha256:32c25c918b51f71452cd8ab1af368dc147ce5b6d0fc09b83ce8b1968953f1970","target":"record","created_at":"2026-05-18T04:33:38Z","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":"252901e7157a10489551315472b043d02145029a6bcb1cc3f72dcb6d20d660da","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-08-05T11:45:12Z","title_canon_sha256":"a3590a252421cdecf39c752ffa74bc46a4d962ce848ed4065dc4be893dde0489"},"schema_version":"1.0","source":{"id":"1008.0952","kind":"arxiv","version":1}},"canonical_sha256":"56650fb1755318676c9977f650e37be2dc9ea56a68c08984e8e61d2a03c3507d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"56650fb1755318676c9977f650e37be2dc9ea56a68c08984e8e61d2a03c3507d","first_computed_at":"2026-05-18T04:33:38.975961Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:33:38.975961Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BzQkczFg6bY3ETTp4Fe41q9J/gQevbTIgr+GSsRW43vITuKajgor5c0GrojFr9sQenTEabKG2uxZP09sddPpBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:33:38.976429Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.0952","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:32c25c918b51f71452cd8ab1af368dc147ce5b6d0fc09b83ce8b1968953f1970","sha256:fb4925f7e3e7c84c31b0eebb1a096e91989b5be07c8099921946b5926334e367"],"state_sha256":"cd06da6d10e4551b423b190f8add300cfe5c881aab2cc44c08a023d31a4ffc70"}