{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:5B5D3PRFT4ZQK7FCLZAEXYQCPE","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":"60e34066420a415530e189130d9c6884ced09575649386600986ce9f6a58c778","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2004-08-09T17:50:56Z","title_canon_sha256":"a9f15520e3e0b7e6bb1f51c0484ad07fe5f399c1ff0fce5845cf59c307cacfa6"},"schema_version":"1.0","source":{"id":"hep-ph/0408117","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0408117","created_at":"2026-07-04T15:28:48Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0408117v3","created_at":"2026-07-04T15:28:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0408117","created_at":"2026-07-04T15:28:48Z"},{"alias_kind":"pith_short_12","alias_value":"5B5D3PRFT4ZQ","created_at":"2026-07-04T15:28:48Z"},{"alias_kind":"pith_short_16","alias_value":"5B5D3PRFT4ZQK7FC","created_at":"2026-07-04T15:28:48Z"},{"alias_kind":"pith_short_8","alias_value":"5B5D3PRF","created_at":"2026-07-04T15:28:48Z"}],"graph_snapshots":[{"event_id":"sha256:76720d75e780bb734d84f35621baea6153df4ea0ffa809436a84eccb8890ab2e","target":"graph","created_at":"2026-07-04T15:28:48Z","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-ph/0408117/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate the recently proposed nonlinear equation for the unintegrated gluon distribution function which includes the subleading effects at small $x$. We obtained numerically the solution to this equation in $(x,k)$ space, and also the integrated gluon density. The subleading effects affect strongly the normalization and the $x$ and $k$ dependence of the gluon distribution. We show that the saturation scale $Q_s(x)$, which is obtained from this model, is consistent with the one used in the saturation model by Golec-Biernat and W\\\"usthoff. We also estimate the nonlinear effects by looking","authors_text":"A.M. Stasto, K. Kutak","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2004-08-09T17:50:56Z","title":"Unintegrated gluon distribution from modified BK equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0408117","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":"sha256:9cde9ee76ff1c53e376f299f778cc7577332fd0ce263193db0b5dcd994fa10dd","target":"record","created_at":"2026-07-04T15:28:48Z","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":"60e34066420a415530e189130d9c6884ced09575649386600986ce9f6a58c778","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2004-08-09T17:50:56Z","title_canon_sha256":"a9f15520e3e0b7e6bb1f51c0484ad07fe5f399c1ff0fce5845cf59c307cacfa6"},"schema_version":"1.0","source":{"id":"hep-ph/0408117","kind":"arxiv","version":3}},"canonical_sha256":"e87a3dbe259f33057ca25e404be202790f2c5ccf5d90e4beaef56f458a343e5e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e87a3dbe259f33057ca25e404be202790f2c5ccf5d90e4beaef56f458a343e5e","first_computed_at":"2026-07-04T15:28:48.845261Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:28:48.845261Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ap/cF6GFwrTz7QwlqMh9viTPXZrIIyem4T1/dzi1GTcmCR3T9Pvdln9so1lhrPpLEnIhwJOe7wdx3lCtmYHHBw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:28:48.845760Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0408117","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9cde9ee76ff1c53e376f299f778cc7577332fd0ce263193db0b5dcd994fa10dd","sha256:76720d75e780bb734d84f35621baea6153df4ea0ffa809436a84eccb8890ab2e"],"state_sha256":"9e26bbb955e3cabe66fa167babb8b344a682e38d5384396c2a0ea15a1c9f0a01"}