{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:4OX7E6YQV5PNRZBMCBL2LGBE6S","short_pith_number":"pith:4OX7E6YQ","canonical_record":{"source":{"id":"0911.5279","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2009-11-27T14:53:07Z","cross_cats_sorted":[],"title_canon_sha256":"aabbceabb648f863ac0e219e3e080c471353be5de40285b9bfb94d85f2c760cf","abstract_canon_sha256":"5d781eb6abf44ba994fa253bf8df218068a05c517af6e9bf1775997fb8999443"},"schema_version":"1.0"},"canonical_sha256":"e3aff27b10af5ed8e42c1057a59824f4a27bf7a5aad0a12e868e58060d19f935","source":{"kind":"arxiv","id":"0911.5279","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0911.5279","created_at":"2026-05-18T04:19:43Z"},{"alias_kind":"arxiv_version","alias_value":"0911.5279v1","created_at":"2026-05-18T04:19:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.5279","created_at":"2026-05-18T04:19:43Z"},{"alias_kind":"pith_short_12","alias_value":"4OX7E6YQV5PN","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"4OX7E6YQV5PNRZBM","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"4OX7E6YQ","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:4OX7E6YQV5PNRZBMCBL2LGBE6S","target":"record","payload":{"canonical_record":{"source":{"id":"0911.5279","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2009-11-27T14:53:07Z","cross_cats_sorted":[],"title_canon_sha256":"aabbceabb648f863ac0e219e3e080c471353be5de40285b9bfb94d85f2c760cf","abstract_canon_sha256":"5d781eb6abf44ba994fa253bf8df218068a05c517af6e9bf1775997fb8999443"},"schema_version":"1.0"},"canonical_sha256":"e3aff27b10af5ed8e42c1057a59824f4a27bf7a5aad0a12e868e58060d19f935","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:19:43.892584Z","signature_b64":"WnbEW6FGhNteHPUt+L94/6s+FTPLPbiGOAu/PgGvQgXHuyU6thSGzRaf/oo4tGA2I7fdqdtxml/SELpErcsACQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e3aff27b10af5ed8e42c1057a59824f4a27bf7a5aad0a12e868e58060d19f935","last_reissued_at":"2026-05-18T04:19:43.892040Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:19:43.892040Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0911.5279","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":"2026-05-18T04:19:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gv5mY3GVRviSSy/P3XNILA/oKjVIKcInx+9U5BCn12woIik/2uerfsO7sOerd493YPimdCs+6V/dI8Uq9S9pCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T22:45:30.037301Z"},"content_sha256":"24684af4794a957cd147c4dd3259601811efcb236e6ffc4e520610200aaab21e","schema_version":"1.0","event_id":"sha256:24684af4794a957cd147c4dd3259601811efcb236e6ffc4e520610200aaab21e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:4OX7E6YQV5PNRZBMCBL2LGBE6S","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Duality symmetry of BFKL equation: reggeized gluons vs color dipoles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Alex Prygarin","submitted_at":"2009-11-27T14:53:07Z","abstract_excerpt":"We show that the duality symmetry of the BFKL equation can be interpreted as a symmetry under rotation of the BFKL Kernel in the transverse space from s-channel (color dipole model) to t-channel (reggeized gluon formulation). We argue that the duality symmetry holds also in the non-forward case due to a very special structure of the non-forward BFKL Kernel, which can be written as a sum of three forward BFKL Kernels. The duality symmetry is established by identifying the dual coordinates with the transverse coordinates of a non-diagonal dipole scattered off the target."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.5279","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":""},"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":"2026-05-18T04:19:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K3vEYaMXh13Ch+BAPU6vqWcvEOTrYbcWQefyjxKlSxsxo8fqvIqq70MChS6CJ6zxEdP+R6QewBQCgVvYRS2rAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T22:45:30.037650Z"},"content_sha256":"2d85ed5d392786fe288b51f92dfac9c9bd5b7fe2a6eff5e889e62d7798716e0a","schema_version":"1.0","event_id":"sha256:2d85ed5d392786fe288b51f92dfac9c9bd5b7fe2a6eff5e889e62d7798716e0a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4OX7E6YQV5PNRZBMCBL2LGBE6S/bundle.json","state_url":"https://pith.science/pith/4OX7E6YQV5PNRZBMCBL2LGBE6S/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4OX7E6YQV5PNRZBMCBL2LGBE6S/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":"2026-06-08T22:45:30Z","links":{"resolver":"https://pith.science/pith/4OX7E6YQV5PNRZBMCBL2LGBE6S","bundle":"https://pith.science/pith/4OX7E6YQV5PNRZBMCBL2LGBE6S/bundle.json","state":"https://pith.science/pith/4OX7E6YQV5PNRZBMCBL2LGBE6S/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4OX7E6YQV5PNRZBMCBL2LGBE6S/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:4OX7E6YQV5PNRZBMCBL2LGBE6S","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":"5d781eb6abf44ba994fa253bf8df218068a05c517af6e9bf1775997fb8999443","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2009-11-27T14:53:07Z","title_canon_sha256":"aabbceabb648f863ac0e219e3e080c471353be5de40285b9bfb94d85f2c760cf"},"schema_version":"1.0","source":{"id":"0911.5279","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0911.5279","created_at":"2026-05-18T04:19:43Z"},{"alias_kind":"arxiv_version","alias_value":"0911.5279v1","created_at":"2026-05-18T04:19:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.5279","created_at":"2026-05-18T04:19:43Z"},{"alias_kind":"pith_short_12","alias_value":"4OX7E6YQV5PN","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"4OX7E6YQV5PNRZBM","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"4OX7E6YQ","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:2d85ed5d392786fe288b51f92dfac9c9bd5b7fe2a6eff5e889e62d7798716e0a","target":"graph","created_at":"2026-05-18T04:19:43Z","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"},"paper":{"abstract_excerpt":"We show that the duality symmetry of the BFKL equation can be interpreted as a symmetry under rotation of the BFKL Kernel in the transverse space from s-channel (color dipole model) to t-channel (reggeized gluon formulation). We argue that the duality symmetry holds also in the non-forward case due to a very special structure of the non-forward BFKL Kernel, which can be written as a sum of three forward BFKL Kernels. The duality symmetry is established by identifying the dual coordinates with the transverse coordinates of a non-diagonal dipole scattered off the target.","authors_text":"Alex Prygarin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2009-11-27T14:53:07Z","title":"Duality symmetry of BFKL equation: reggeized gluons vs color dipoles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.5279","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":"sha256:24684af4794a957cd147c4dd3259601811efcb236e6ffc4e520610200aaab21e","target":"record","created_at":"2026-05-18T04:19:43Z","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":"5d781eb6abf44ba994fa253bf8df218068a05c517af6e9bf1775997fb8999443","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2009-11-27T14:53:07Z","title_canon_sha256":"aabbceabb648f863ac0e219e3e080c471353be5de40285b9bfb94d85f2c760cf"},"schema_version":"1.0","source":{"id":"0911.5279","kind":"arxiv","version":1}},"canonical_sha256":"e3aff27b10af5ed8e42c1057a59824f4a27bf7a5aad0a12e868e58060d19f935","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e3aff27b10af5ed8e42c1057a59824f4a27bf7a5aad0a12e868e58060d19f935","first_computed_at":"2026-05-18T04:19:43.892040Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:19:43.892040Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WnbEW6FGhNteHPUt+L94/6s+FTPLPbiGOAu/PgGvQgXHuyU6thSGzRaf/oo4tGA2I7fdqdtxml/SELpErcsACQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:19:43.892584Z","signed_message":"canonical_sha256_bytes"},"source_id":"0911.5279","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:24684af4794a957cd147c4dd3259601811efcb236e6ffc4e520610200aaab21e","sha256:2d85ed5d392786fe288b51f92dfac9c9bd5b7fe2a6eff5e889e62d7798716e0a"],"state_sha256":"e2e36f4c2c07e61d4d2117c13ecd7dcfa96687d9470515cdb856d7d47e1be45e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9+eyWRIFwF9MoIIvSh16nGOu3HxSFtftvxr0kLekb1jaASfI1vSDBFeJuCc2w6l1t7kOxnJ5nZLcTUILUQzUDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T22:45:30.039458Z","bundle_sha256":"4e961f8572a1755be59db900182f35d8738b6a8e73968fab6875e98f41f8fddc"}}