{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:CW7G5UZP6BCR5IWE65FVDIMZVR","short_pith_number":"pith:CW7G5UZP","canonical_record":{"source":{"id":"hep-ph/0609105","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2006-09-11T19:49:19Z","cross_cats_sorted":[],"title_canon_sha256":"e225b7eb2eda4338ea3f24dcbe38401d4a19764905daac85a85fc4d2be7ebbb1","abstract_canon_sha256":"18f54dc51515bb2084a0775039693e77f90435e85a1f47a70d293c2f2380de9a"},"schema_version":"1.0"},"canonical_sha256":"15be6ed32ff0451ea2c4f74b51a199ac584309d265a7ba71b834a675d2af49e1","source":{"kind":"arxiv","id":"hep-ph/0609105","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0609105","created_at":"2026-07-04T15:17:09Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0609105v1","created_at":"2026-07-04T15:17:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0609105","created_at":"2026-07-04T15:17:09Z"},{"alias_kind":"pith_short_12","alias_value":"CW7G5UZP6BCR","created_at":"2026-07-04T15:17:09Z"},{"alias_kind":"pith_short_16","alias_value":"CW7G5UZP6BCR5IWE","created_at":"2026-07-04T15:17:09Z"},{"alias_kind":"pith_short_8","alias_value":"CW7G5UZP","created_at":"2026-07-04T15:17:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:CW7G5UZP6BCR5IWE65FVDIMZVR","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/0609105","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2006-09-11T19:49:19Z","cross_cats_sorted":[],"title_canon_sha256":"e225b7eb2eda4338ea3f24dcbe38401d4a19764905daac85a85fc4d2be7ebbb1","abstract_canon_sha256":"18f54dc51515bb2084a0775039693e77f90435e85a1f47a70d293c2f2380de9a"},"schema_version":"1.0"},"canonical_sha256":"15be6ed32ff0451ea2c4f74b51a199ac584309d265a7ba71b834a675d2af49e1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:17:09.653147Z","signature_b64":"zrFwdd9TADQygErWjkUhSRVI5lb0thNYbnm6UDtrhzhsG1fZAtin8OrHhduUdgtM/rRH0LXHAeuS7Vfg5g6aDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"15be6ed32ff0451ea2c4f74b51a199ac584309d265a7ba71b834a675d2af49e1","last_reissued_at":"2026-07-04T15:17:09.652777Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:17:09.652777Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/0609105","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:17:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TIptCIxVXu6Zcc1o9FagDrMJyDLFzmgxa2RUs0nZxiXuFHKeKNlXZFR5j7bn1Hd7XxrnNx4wMUcFDFFMeDRmDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T10:42:37.662147Z"},"content_sha256":"15b24d74203044b411241ab551d04b2de4cae7b794ec2c8e6becab66a673bb88","schema_version":"1.0","event_id":"sha256:15b24d74203044b411241ab551d04b2de4cae7b794ec2c8e6becab66a673bb88"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:CW7G5UZP6BCR5IWE65FVDIMZVR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quark contribution to the small-$x$ evolution of color dipole","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"I Balitsky","submitted_at":"2006-09-11T19:49:19Z","abstract_excerpt":"The small-$x$ deep inelastic scattering in the saturation region is governed by the non-linear evolution of Wilson-lines operators. In the leading logarithmic approximation it is given by the BK equation for the evolution of color dipoles. In the NLO the nonlinear equation gets contributions from quark and gluon loops. In this paper I calculate the quark-loop contribution to small-x evolution of Wilson lines in the NLO. It turns out that there are no new operators at the one-loop level - just as at the tree level, the high-energy scattering can be described in terms of Wilson lines. In additio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0609105","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/0609105/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:17:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+pvBfokRFD3s6kZWSQ03xrVyIQ+KQrphlTQNPEF6XxX4To5UXpLVwo/Q398Bpzd2I6hKHEXyJuS6h5cEKlLHCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T10:42:37.663016Z"},"content_sha256":"261df74a9df02a1087d166a6ae71f94a542d75a7676d7a0bbe95ae410040af5e","schema_version":"1.0","event_id":"sha256:261df74a9df02a1087d166a6ae71f94a542d75a7676d7a0bbe95ae410040af5e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CW7G5UZP6BCR5IWE65FVDIMZVR/bundle.json","state_url":"https://pith.science/pith/CW7G5UZP6BCR5IWE65FVDIMZVR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CW7G5UZP6BCR5IWE65FVDIMZVR/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-04T10:42:37Z","links":{"resolver":"https://pith.science/pith/CW7G5UZP6BCR5IWE65FVDIMZVR","bundle":"https://pith.science/pith/CW7G5UZP6BCR5IWE65FVDIMZVR/bundle.json","state":"https://pith.science/pith/CW7G5UZP6BCR5IWE65FVDIMZVR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CW7G5UZP6BCR5IWE65FVDIMZVR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:CW7G5UZP6BCR5IWE65FVDIMZVR","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":"18f54dc51515bb2084a0775039693e77f90435e85a1f47a70d293c2f2380de9a","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2006-09-11T19:49:19Z","title_canon_sha256":"e225b7eb2eda4338ea3f24dcbe38401d4a19764905daac85a85fc4d2be7ebbb1"},"schema_version":"1.0","source":{"id":"hep-ph/0609105","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0609105","created_at":"2026-07-04T15:17:09Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0609105v1","created_at":"2026-07-04T15:17:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0609105","created_at":"2026-07-04T15:17:09Z"},{"alias_kind":"pith_short_12","alias_value":"CW7G5UZP6BCR","created_at":"2026-07-04T15:17:09Z"},{"alias_kind":"pith_short_16","alias_value":"CW7G5UZP6BCR5IWE","created_at":"2026-07-04T15:17:09Z"},{"alias_kind":"pith_short_8","alias_value":"CW7G5UZP","created_at":"2026-07-04T15:17:09Z"}],"graph_snapshots":[{"event_id":"sha256:261df74a9df02a1087d166a6ae71f94a542d75a7676d7a0bbe95ae410040af5e","target":"graph","created_at":"2026-07-04T15:17:09Z","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/0609105/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The small-$x$ deep inelastic scattering in the saturation region is governed by the non-linear evolution of Wilson-lines operators. In the leading logarithmic approximation it is given by the BK equation for the evolution of color dipoles. In the NLO the nonlinear equation gets contributions from quark and gluon loops. In this paper I calculate the quark-loop contribution to small-x evolution of Wilson lines in the NLO. It turns out that there are no new operators at the one-loop level - just as at the tree level, the high-energy scattering can be described in terms of Wilson lines. In additio","authors_text":"I Balitsky","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2006-09-11T19:49:19Z","title":"Quark contribution to the small-$x$ evolution of color dipole"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0609105","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":"sha256:15b24d74203044b411241ab551d04b2de4cae7b794ec2c8e6becab66a673bb88","target":"record","created_at":"2026-07-04T15:17:09Z","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":"18f54dc51515bb2084a0775039693e77f90435e85a1f47a70d293c2f2380de9a","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2006-09-11T19:49:19Z","title_canon_sha256":"e225b7eb2eda4338ea3f24dcbe38401d4a19764905daac85a85fc4d2be7ebbb1"},"schema_version":"1.0","source":{"id":"hep-ph/0609105","kind":"arxiv","version":1}},"canonical_sha256":"15be6ed32ff0451ea2c4f74b51a199ac584309d265a7ba71b834a675d2af49e1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"15be6ed32ff0451ea2c4f74b51a199ac584309d265a7ba71b834a675d2af49e1","first_computed_at":"2026-07-04T15:17:09.652777Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:17:09.652777Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zrFwdd9TADQygErWjkUhSRVI5lb0thNYbnm6UDtrhzhsG1fZAtin8OrHhduUdgtM/rRH0LXHAeuS7Vfg5g6aDQ==","signature_status":"signed_v1","signed_at":"2026-07-04T15:17:09.653147Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0609105","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:15b24d74203044b411241ab551d04b2de4cae7b794ec2c8e6becab66a673bb88","sha256:261df74a9df02a1087d166a6ae71f94a542d75a7676d7a0bbe95ae410040af5e"],"state_sha256":"5157b2d995d3faa3366a3189f70a20e6001f64ae43d66cac37cd52796bc4f2ec"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hMF/T9u/zpAhVzaA2gQmmsycIhaubi4Xs2n3oCkOJdedl3EU8iJr5jx6Jdwe9SHyc/yAw7Xo7Bz7OLuaG7IEBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T10:42:37.669500Z","bundle_sha256":"e7056358739b1773a2d23ad0b34dd41eb91fc8387f7f039f9ce7139f941b9239"}}