{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2000:5GCVT4YF5SNVEWWAWRF34SZZ5W","short_pith_number":"pith:5GCVT4YF","canonical_record":{"source":{"id":"hep-ph/0004008","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2000-04-02T17:18:10Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"475b676a4020d6f6ba654e4e7ab78f6e482115fa3961937167ce281afab8756d","abstract_canon_sha256":"1f2783b13dd9464ffdf56b38c2e5054712d455a076995d1d92b3ede21f74ca9f"},"schema_version":"1.0"},"canonical_sha256":"e98559f305ec9b525ac0b44bbe4b39eda82ea1e8c258a57b6da69a2421431335","source":{"kind":"arxiv","id":"hep-ph/0004008","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0004008","created_at":"2026-07-04T17:25:21Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0004008v2","created_at":"2026-07-04T17:25:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0004008","created_at":"2026-07-04T17:25:21Z"},{"alias_kind":"pith_short_12","alias_value":"5GCVT4YF5SNV","created_at":"2026-07-04T17:25:21Z"},{"alias_kind":"pith_short_16","alias_value":"5GCVT4YF5SNVEWWA","created_at":"2026-07-04T17:25:21Z"},{"alias_kind":"pith_short_8","alias_value":"5GCVT4YF","created_at":"2026-07-04T17:25:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2000:5GCVT4YF5SNVEWWAWRF34SZZ5W","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/0004008","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2000-04-02T17:18:10Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"475b676a4020d6f6ba654e4e7ab78f6e482115fa3961937167ce281afab8756d","abstract_canon_sha256":"1f2783b13dd9464ffdf56b38c2e5054712d455a076995d1d92b3ede21f74ca9f"},"schema_version":"1.0"},"canonical_sha256":"e98559f305ec9b525ac0b44bbe4b39eda82ea1e8c258a57b6da69a2421431335","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:25:21.718035Z","signature_b64":"I+ToBWhz2Al544V2gZp9WDTR7v17zX9pDLktuDEPn0NoPYjLysnHm3mAMRZSyRe+yaFMmTqApRdluVlLSXoGDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e98559f305ec9b525ac0b44bbe4b39eda82ea1e8c258a57b6da69a2421431335","last_reissued_at":"2026-07-04T17:25:21.717616Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:25:21.717616Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/0004008","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T17:25:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1wIIBiWtFtHlyC7a+q+cJ9Eb80fsdPnyiadsXmvt9ZaF7l9Gc85B6a9ZY59QL2cowfcXfH/RNYIYLfypP5JBDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T13:46:56.539273Z"},"content_sha256":"1d5b5fa62b2267ad8fce830ca1c46b3c52117509859031ccb96cf3b661b56791","schema_version":"1.0","event_id":"sha256:1d5b5fa62b2267ad8fce830ca1c46b3c52117509859031ccb96cf3b661b56791"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2000:5GCVT4YF5SNVEWWAWRF34SZZ5W","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"NLO corrections to the BFKL equation in QCD and in supersymmetric gauge theories","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"A.V. Kotikov, L.N. Lipatov","submitted_at":"2000-04-02T17:18:10Z","abstract_excerpt":"We study next-to-leading corrections to the integral kernel of the BFKL equation for high energy cross-sections in QCD and in supersymmetric gauge theories. The eigenvalue of the BFKL kernel is calculated in an analytic form as a function of the anomalous dimension \\gamma of the local gauge-invariant operators and their conformal spin n. For the case of an extended N=4 SUSY the kernel is significantly simplified. In particular, the terms non-analytic in n are canceled. We discuss the relation between the DGLAP and BFKL equations in the N=4 model."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0004008","kind":"arxiv","version":2},"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/0004008/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":"2026-07-04T17:25:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4MD4s9mp+n3M6NUyxsapmlCKb63AjX328wqmAX2hWChxcchekZr2fyNNDWFfgDS++6kvnyVotfoEfhtLuAjJAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T13:46:56.540385Z"},"content_sha256":"e6709cb1f0557bd8be9b65e06c08d6bd7766ee2c077567886cf9f2188fde3fb9","schema_version":"1.0","event_id":"sha256:e6709cb1f0557bd8be9b65e06c08d6bd7766ee2c077567886cf9f2188fde3fb9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5GCVT4YF5SNVEWWAWRF34SZZ5W/bundle.json","state_url":"https://pith.science/pith/5GCVT4YF5SNVEWWAWRF34SZZ5W/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5GCVT4YF5SNVEWWAWRF34SZZ5W/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":"2026-08-03T13:46:56Z","links":{"resolver":"https://pith.science/pith/5GCVT4YF5SNVEWWAWRF34SZZ5W","bundle":"https://pith.science/pith/5GCVT4YF5SNVEWWAWRF34SZZ5W/bundle.json","state":"https://pith.science/pith/5GCVT4YF5SNVEWWAWRF34SZZ5W/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5GCVT4YF5SNVEWWAWRF34SZZ5W/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:5GCVT4YF5SNVEWWAWRF34SZZ5W","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":"1f2783b13dd9464ffdf56b38c2e5054712d455a076995d1d92b3ede21f74ca9f","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"hep-ph","submitted_at":"2000-04-02T17:18:10Z","title_canon_sha256":"475b676a4020d6f6ba654e4e7ab78f6e482115fa3961937167ce281afab8756d"},"schema_version":"1.0","source":{"id":"hep-ph/0004008","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0004008","created_at":"2026-07-04T17:25:21Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0004008v2","created_at":"2026-07-04T17:25:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0004008","created_at":"2026-07-04T17:25:21Z"},{"alias_kind":"pith_short_12","alias_value":"5GCVT4YF5SNV","created_at":"2026-07-04T17:25:21Z"},{"alias_kind":"pith_short_16","alias_value":"5GCVT4YF5SNVEWWA","created_at":"2026-07-04T17:25:21Z"},{"alias_kind":"pith_short_8","alias_value":"5GCVT4YF","created_at":"2026-07-04T17:25:21Z"}],"graph_snapshots":[{"event_id":"sha256:e6709cb1f0557bd8be9b65e06c08d6bd7766ee2c077567886cf9f2188fde3fb9","target":"graph","created_at":"2026-07-04T17:25:21Z","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/0004008/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study next-to-leading corrections to the integral kernel of the BFKL equation for high energy cross-sections in QCD and in supersymmetric gauge theories. The eigenvalue of the BFKL kernel is calculated in an analytic form as a function of the anomalous dimension \\gamma of the local gauge-invariant operators and their conformal spin n. For the case of an extended N=4 SUSY the kernel is significantly simplified. In particular, the terms non-analytic in n are canceled. We discuss the relation between the DGLAP and BFKL equations in the N=4 model.","authors_text":"A.V. Kotikov, L.N. Lipatov","cross_cats":["hep-th"],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2000-04-02T17:18:10Z","title":"NLO corrections to the BFKL equation in QCD and in supersymmetric gauge theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0004008","kind":"arxiv","version":2},"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":"sha256:1d5b5fa62b2267ad8fce830ca1c46b3c52117509859031ccb96cf3b661b56791","target":"record","created_at":"2026-07-04T17:25:21Z","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":"1f2783b13dd9464ffdf56b38c2e5054712d455a076995d1d92b3ede21f74ca9f","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"hep-ph","submitted_at":"2000-04-02T17:18:10Z","title_canon_sha256":"475b676a4020d6f6ba654e4e7ab78f6e482115fa3961937167ce281afab8756d"},"schema_version":"1.0","source":{"id":"hep-ph/0004008","kind":"arxiv","version":2}},"canonical_sha256":"e98559f305ec9b525ac0b44bbe4b39eda82ea1e8c258a57b6da69a2421431335","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e98559f305ec9b525ac0b44bbe4b39eda82ea1e8c258a57b6da69a2421431335","first_computed_at":"2026-07-04T17:25:21.717616Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:25:21.717616Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"I+ToBWhz2Al544V2gZp9WDTR7v17zX9pDLktuDEPn0NoPYjLysnHm3mAMRZSyRe+yaFMmTqApRdluVlLSXoGDw==","signature_status":"signed_v1","signed_at":"2026-07-04T17:25:21.718035Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0004008","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1d5b5fa62b2267ad8fce830ca1c46b3c52117509859031ccb96cf3b661b56791","sha256:e6709cb1f0557bd8be9b65e06c08d6bd7766ee2c077567886cf9f2188fde3fb9"],"state_sha256":"d9ba1b9ee34cf9027fda14c0a940815421f47057058e4d5fcc9746f0cf00cd91"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jmosS+th/ju3hlYbtrreLzT9UhNY8e8yjYXicQPalyNTcbD/WWqvLbFpPfj1JkT/vAwvVEmsqRfieI47aDivBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T13:46:56.547463Z","bundle_sha256":"ab1a456f9c279fb42709d1d5dc8f81cc999b98a10a9be70053ccb55d1efb4d21"}}