{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:2I4FMBOX6SQXOBJZ7WPDZODXC5","short_pith_number":"pith:2I4FMBOX","canonical_record":{"source":{"id":"0903.5326","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2009-03-30T21:25:40Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"3d5c6aa4441f557e730330603ff138cdcb7e47218e9e464384cf79be6b59f5a8","abstract_canon_sha256":"de0458c89a5d72e97741408c65c154a367d7fcb82ef9fe0312c00251e1b9e672"},"schema_version":"1.0"},"canonical_sha256":"d2385605d7f4a1770539fd9e3cb877176b0cb7782811dc9739e2d42cfdf6a138","source":{"kind":"arxiv","id":"0903.5326","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0903.5326","created_at":"2026-07-04T15:51:49Z"},{"alias_kind":"arxiv_version","alias_value":"0903.5326v1","created_at":"2026-07-04T15:51:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0903.5326","created_at":"2026-07-04T15:51:49Z"},{"alias_kind":"pith_short_12","alias_value":"2I4FMBOX6SQX","created_at":"2026-07-04T15:51:49Z"},{"alias_kind":"pith_short_16","alias_value":"2I4FMBOX6SQXOBJZ","created_at":"2026-07-04T15:51:49Z"},{"alias_kind":"pith_short_8","alias_value":"2I4FMBOX","created_at":"2026-07-04T15:51:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:2I4FMBOX6SQXOBJZ7WPDZODXC5","target":"record","payload":{"canonical_record":{"source":{"id":"0903.5326","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2009-03-30T21:25:40Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"3d5c6aa4441f557e730330603ff138cdcb7e47218e9e464384cf79be6b59f5a8","abstract_canon_sha256":"de0458c89a5d72e97741408c65c154a367d7fcb82ef9fe0312c00251e1b9e672"},"schema_version":"1.0"},"canonical_sha256":"d2385605d7f4a1770539fd9e3cb877176b0cb7782811dc9739e2d42cfdf6a138","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:51:49.499988Z","signature_b64":"qe/aPFRygNKcb+qZU7EFHf5hX/x3lnLN9zSoxFs79fZLO7QdsLDzR1letTpQGj7sAaEOR986VPLfej7i5rvUCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d2385605d7f4a1770539fd9e3cb877176b0cb7782811dc9739e2d42cfdf6a138","last_reissued_at":"2026-07-04T15:51:49.499546Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:51:49.499546Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0903.5326","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":"2026-07-04T15:51:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OYQ0NOAxC7mJrHoX4jgoqWLE378vcR9j7vwy0FXyiSjpD1CQi84H8TEto+xTPRmFBlk30smL0jg+n0IWpSk2Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T13:15:31.512014Z"},"content_sha256":"2e317c62e4559e6a068ff1e7da30c1dc7305503edd0562d445b632bbe77abfa8","schema_version":"1.0","event_id":"sha256:2e317c62e4559e6a068ff1e7da30c1dc7305503edd0562d445b632bbe77abfa8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:2I4FMBOX6SQXOBJZ7WPDZODXC5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"NLO evolution of color dipoles in N=4 SYM","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Giovanni A. Chirilli, Ian Balitsky","submitted_at":"2009-03-30T21:25:40Z","abstract_excerpt":"High-energy behavior of amplitudes in a gauge theory can be reformulated in terms of the evolution of Wilson-line operators. In the leading logarithmic approximation it is given by the conformally invariant BK equation for the evolution of color dipoles. In QCD, the next-to-leading order BK equation has both conformal and non-conformal parts, the latter providing the running of the coupling constant. To separate the conformally invariant effects from the running-coupling effects, we calculate the NLO evolution of the color dipoles in the conformal ${\\cal N}$=4 SYM theory. We define the \"compos"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0903.5326","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/0903.5326/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":"2026-07-04T15:51:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CXUJe3kNqZbpHi5v57CfixTttSQdA/DvEjbKHiQAG8HDGivDlghGIaLU8CU97D9PXY/3p6fEgE+VSI61j3SkCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T13:15:31.513000Z"},"content_sha256":"2a36af9387c83fde334b6c2656c6a03184af0b7efd86d5332abba96f3d997b24","schema_version":"1.0","event_id":"sha256:2a36af9387c83fde334b6c2656c6a03184af0b7efd86d5332abba96f3d997b24"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2I4FMBOX6SQXOBJZ7WPDZODXC5/bundle.json","state_url":"https://pith.science/pith/2I4FMBOX6SQXOBJZ7WPDZODXC5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2I4FMBOX6SQXOBJZ7WPDZODXC5/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":"2026-08-04T13:15:31Z","links":{"resolver":"https://pith.science/pith/2I4FMBOX6SQXOBJZ7WPDZODXC5","bundle":"https://pith.science/pith/2I4FMBOX6SQXOBJZ7WPDZODXC5/bundle.json","state":"https://pith.science/pith/2I4FMBOX6SQXOBJZ7WPDZODXC5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2I4FMBOX6SQXOBJZ7WPDZODXC5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:2I4FMBOX6SQXOBJZ7WPDZODXC5","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":"de0458c89a5d72e97741408c65c154a367d7fcb82ef9fe0312c00251e1b9e672","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2009-03-30T21:25:40Z","title_canon_sha256":"3d5c6aa4441f557e730330603ff138cdcb7e47218e9e464384cf79be6b59f5a8"},"schema_version":"1.0","source":{"id":"0903.5326","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0903.5326","created_at":"2026-07-04T15:51:49Z"},{"alias_kind":"arxiv_version","alias_value":"0903.5326v1","created_at":"2026-07-04T15:51:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0903.5326","created_at":"2026-07-04T15:51:49Z"},{"alias_kind":"pith_short_12","alias_value":"2I4FMBOX6SQX","created_at":"2026-07-04T15:51:49Z"},{"alias_kind":"pith_short_16","alias_value":"2I4FMBOX6SQXOBJZ","created_at":"2026-07-04T15:51:49Z"},{"alias_kind":"pith_short_8","alias_value":"2I4FMBOX","created_at":"2026-07-04T15:51:49Z"}],"graph_snapshots":[{"event_id":"sha256:2a36af9387c83fde334b6c2656c6a03184af0b7efd86d5332abba96f3d997b24","target":"graph","created_at":"2026-07-04T15:51:49Z","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/0903.5326/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"High-energy behavior of amplitudes in a gauge theory can be reformulated in terms of the evolution of Wilson-line operators. In the leading logarithmic approximation it is given by the conformally invariant BK equation for the evolution of color dipoles. In QCD, the next-to-leading order BK equation has both conformal and non-conformal parts, the latter providing the running of the coupling constant. To separate the conformally invariant effects from the running-coupling effects, we calculate the NLO evolution of the color dipoles in the conformal ${\\cal N}$=4 SYM theory. We define the \"compos","authors_text":"Giovanni A. Chirilli, Ian Balitsky","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2009-03-30T21:25:40Z","title":"NLO evolution of color dipoles in N=4 SYM"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0903.5326","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":"sha256:2e317c62e4559e6a068ff1e7da30c1dc7305503edd0562d445b632bbe77abfa8","target":"record","created_at":"2026-07-04T15:51:49Z","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":"de0458c89a5d72e97741408c65c154a367d7fcb82ef9fe0312c00251e1b9e672","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2009-03-30T21:25:40Z","title_canon_sha256":"3d5c6aa4441f557e730330603ff138cdcb7e47218e9e464384cf79be6b59f5a8"},"schema_version":"1.0","source":{"id":"0903.5326","kind":"arxiv","version":1}},"canonical_sha256":"d2385605d7f4a1770539fd9e3cb877176b0cb7782811dc9739e2d42cfdf6a138","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d2385605d7f4a1770539fd9e3cb877176b0cb7782811dc9739e2d42cfdf6a138","first_computed_at":"2026-07-04T15:51:49.499546Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:51:49.499546Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qe/aPFRygNKcb+qZU7EFHf5hX/x3lnLN9zSoxFs79fZLO7QdsLDzR1letTpQGj7sAaEOR986VPLfej7i5rvUCg==","signature_status":"signed_v1","signed_at":"2026-07-04T15:51:49.499988Z","signed_message":"canonical_sha256_bytes"},"source_id":"0903.5326","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2e317c62e4559e6a068ff1e7da30c1dc7305503edd0562d445b632bbe77abfa8","sha256:2a36af9387c83fde334b6c2656c6a03184af0b7efd86d5332abba96f3d997b24"],"state_sha256":"96a0b8fed1fa6754c329d3c2f437f6ef908c2b075d672e44d12e3e72ce1f0c72"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6AjbPLO3snFQCbTuGnsnQVX5ImbpG3tv23cLfckiH1fV6Y08fCNNbzfNsy5WLRfatlmT4gT0RGHWxZ/CeqvoCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T13:15:31.518863Z","bundle_sha256":"332a0853ff7c988413cbd7b0c6ad0a18b26ed3f1b2910c4d7b950637e39e64a6"}}