{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:YU52UOG2CQMNNPOFXKYH5H45U7","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":"432ea33c68ef92c387459ff3a0c565c709100764f07d04d07a7b45d07f2a1473","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2000-11-20T15:04:41Z","title_canon_sha256":"8a592db7230a92487b12345df73aaf6b9b8099fd7623eaffc69f27c15e5ac68a"},"schema_version":"1.0","source":{"id":"hep-ph/0011241","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0011241","created_at":"2026-07-04T16:20:32Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0011241v1","created_at":"2026-07-04T16:20:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0011241","created_at":"2026-07-04T16:20:32Z"},{"alias_kind":"pith_short_12","alias_value":"YU52UOG2CQMN","created_at":"2026-07-04T16:20:32Z"},{"alias_kind":"pith_short_16","alias_value":"YU52UOG2CQMNNPOF","created_at":"2026-07-04T16:20:32Z"},{"alias_kind":"pith_short_8","alias_value":"YU52UOG2","created_at":"2026-07-04T16:20:32Z"}],"graph_snapshots":[{"event_id":"sha256:04825e88629c5521b4741e16660a3234c8c85ac5f418d7cd020103d7f3133d9a","target":"graph","created_at":"2026-07-04T16:20:32Z","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/0011241/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider a nonlinear evolution equation recently proposed to describe the small-$x$ hadronic physics in the regime of very high gluon density. This is a functional Fokker-Planck equation in terms of a classical random color source, which represents the color charge density of the partons with large $x$. In the saturation regime of interest, the coefficients of this equation must be known to all orders in the source strength. In this first paper of a series of two, we carefully derive the evolution equation, via a matching between classical and quantum correlations, and set up the framework ","authors_text":"Andrei Leonidov, Edmond Iancu, Larry McLerran","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2000-11-20T15:04:41Z","title":"Nonlinear Gluon Evolution in the Color Glass Condensate: I"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0011241","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":"sha256:4b3ce473a101b11df86b93f524b5a14a328687cba759cf36cd49b971ed8e8718","target":"record","created_at":"2026-07-04T16:20:32Z","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":"432ea33c68ef92c387459ff3a0c565c709100764f07d04d07a7b45d07f2a1473","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2000-11-20T15:04:41Z","title_canon_sha256":"8a592db7230a92487b12345df73aaf6b9b8099fd7623eaffc69f27c15e5ac68a"},"schema_version":"1.0","source":{"id":"hep-ph/0011241","kind":"arxiv","version":1}},"canonical_sha256":"c53baa38da1418d6bdc5bab07e9f9da7effe2fbd64d435a35930e31f30e7f7ae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c53baa38da1418d6bdc5bab07e9f9da7effe2fbd64d435a35930e31f30e7f7ae","first_computed_at":"2026-07-04T16:20:32.040954Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:20:32.040954Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lg2McQTUQNpI892LWeloju7dAhtMvvIv7KQMxjKyFT7tfaTAntXfdgS4TmGtMV2RAP5EWuPGgw/TxnNt3ZHoCw==","signature_status":"signed_v1","signed_at":"2026-07-04T16:20:32.041404Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0011241","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4b3ce473a101b11df86b93f524b5a14a328687cba759cf36cd49b971ed8e8718","sha256:04825e88629c5521b4741e16660a3234c8c85ac5f418d7cd020103d7f3133d9a"],"state_sha256":"9a0de05deddd024a10343f17c38b89cff6ecc33da83cf057f7c6acea4dcae169"}