{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:I2NLY5V2EIDGUINLPZHOEBJAAD","short_pith_number":"pith:I2NLY5V2","canonical_record":{"source":{"id":"0901.4949","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2009-01-30T18:31:39Z","cross_cats_sorted":[],"title_canon_sha256":"6c8bd74217163dc0bd097ae244ff379664113f312ee53ed66d08f5aa9f2a95b1","abstract_canon_sha256":"9d4bec31ea9fc31cfcd1020253c62d630802a7f503c0c520907db883f5194b96"},"schema_version":"1.0"},"canonical_sha256":"469abc76ba22066a21ab7e4ee2052000cb4ea946144d88803cd2f49f64f8f63a","source":{"kind":"arxiv","id":"0901.4949","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0901.4949","created_at":"2026-05-18T03:24:08Z"},{"alias_kind":"arxiv_version","alias_value":"0901.4949v1","created_at":"2026-05-18T03:24:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0901.4949","created_at":"2026-05-18T03:24:08Z"},{"alias_kind":"pith_short_12","alias_value":"I2NLY5V2EIDG","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"I2NLY5V2EIDGUINL","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"I2NLY5V2","created_at":"2026-05-18T12:25:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:I2NLY5V2EIDGUINLPZHOEBJAAD","target":"record","payload":{"canonical_record":{"source":{"id":"0901.4949","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2009-01-30T18:31:39Z","cross_cats_sorted":[],"title_canon_sha256":"6c8bd74217163dc0bd097ae244ff379664113f312ee53ed66d08f5aa9f2a95b1","abstract_canon_sha256":"9d4bec31ea9fc31cfcd1020253c62d630802a7f503c0c520907db883f5194b96"},"schema_version":"1.0"},"canonical_sha256":"469abc76ba22066a21ab7e4ee2052000cb4ea946144d88803cd2f49f64f8f63a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:24:08.080176Z","signature_b64":"obF6VYCR1d+sQrpjSd/Ed9rGXjW03mYjp4ZHZxVfvCZ7Uw0/IAGEIPaUDXD7YMEMVh0TrGfb/W/PJ+FTmvPPDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"469abc76ba22066a21ab7e4ee2052000cb4ea946144d88803cd2f49f64f8f63a","last_reissued_at":"2026-05-18T03:24:08.079616Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:24:08.079616Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0901.4949","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":"2026-05-18T03:24:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IrAmTMFgOVV+9CalnQWitp0D2gYqgWRh4L3wl6XnLqgb94QaOrJozb6iGSkaj07MwUN1RMyZ/3phjYMy2jLECg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T11:35:42.661209Z"},"content_sha256":"3c1dad23efbbd32cf7eebe738ea561e5b73fbd321ddf7bada9755b7394923c3d","schema_version":"1.0","event_id":"sha256:3c1dad23efbbd32cf7eebe738ea561e5b73fbd321ddf7bada9755b7394923c3d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:I2NLY5V2EIDGUINLPZHOEBJAAD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact kinematics in the small x evolution of the color dipole and gluon cascade","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Anna M. Stasto, Leszek Motyka","submitted_at":"2009-01-30T18:31:39Z","abstract_excerpt":"The problem of kinematic effects in the gluon and color dipole cascades is addressed in the large N_c limit of SU(N_c) Yang--Mills theory. We investigate the tree level multi-gluon components of the gluon light cone wave functions in the light cone gauge keeping the exact kinematics of the gluon emissions. We focus on the components with all helicities identical to the helicity of the incoming gluon. The recurrence relations for the gluon wave functions are derived. In the case when the virtuality of the incoming gluon is neglected the exact form of the multi-gluon wave function is obtained. F"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.4949","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":"2026-05-18T03:24:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e6Luqi6+n6AAIysuifAQgFntMo+hGA+VYPKtUra9h3UBiJ6P2x3+w0wykOdU37t7cj+gBaNzRRxnU7digt+sCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T11:35:42.661558Z"},"content_sha256":"85558ead4d7d39628ff4cc39fb9e3d00730ea7010f6098848181e574cfb6e3aa","schema_version":"1.0","event_id":"sha256:85558ead4d7d39628ff4cc39fb9e3d00730ea7010f6098848181e574cfb6e3aa"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/I2NLY5V2EIDGUINLPZHOEBJAAD/bundle.json","state_url":"https://pith.science/pith/I2NLY5V2EIDGUINLPZHOEBJAAD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/I2NLY5V2EIDGUINLPZHOEBJAAD/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":"2026-06-01T11:35:42Z","links":{"resolver":"https://pith.science/pith/I2NLY5V2EIDGUINLPZHOEBJAAD","bundle":"https://pith.science/pith/I2NLY5V2EIDGUINLPZHOEBJAAD/bundle.json","state":"https://pith.science/pith/I2NLY5V2EIDGUINLPZHOEBJAAD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/I2NLY5V2EIDGUINLPZHOEBJAAD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:I2NLY5V2EIDGUINLPZHOEBJAAD","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":"9d4bec31ea9fc31cfcd1020253c62d630802a7f503c0c520907db883f5194b96","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2009-01-30T18:31:39Z","title_canon_sha256":"6c8bd74217163dc0bd097ae244ff379664113f312ee53ed66d08f5aa9f2a95b1"},"schema_version":"1.0","source":{"id":"0901.4949","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0901.4949","created_at":"2026-05-18T03:24:08Z"},{"alias_kind":"arxiv_version","alias_value":"0901.4949v1","created_at":"2026-05-18T03:24:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0901.4949","created_at":"2026-05-18T03:24:08Z"},{"alias_kind":"pith_short_12","alias_value":"I2NLY5V2EIDG","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"I2NLY5V2EIDGUINL","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"I2NLY5V2","created_at":"2026-05-18T12:25:59Z"}],"graph_snapshots":[{"event_id":"sha256:85558ead4d7d39628ff4cc39fb9e3d00730ea7010f6098848181e574cfb6e3aa","target":"graph","created_at":"2026-05-18T03:24:08Z","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":"The problem of kinematic effects in the gluon and color dipole cascades is addressed in the large N_c limit of SU(N_c) Yang--Mills theory. We investigate the tree level multi-gluon components of the gluon light cone wave functions in the light cone gauge keeping the exact kinematics of the gluon emissions. We focus on the components with all helicities identical to the helicity of the incoming gluon. The recurrence relations for the gluon wave functions are derived. In the case when the virtuality of the incoming gluon is neglected the exact form of the multi-gluon wave function is obtained. F","authors_text":"Anna M. Stasto, Leszek Motyka","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2009-01-30T18:31:39Z","title":"Exact kinematics in the small x evolution of the color dipole and gluon cascade"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.4949","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":"sha256:3c1dad23efbbd32cf7eebe738ea561e5b73fbd321ddf7bada9755b7394923c3d","target":"record","created_at":"2026-05-18T03:24:08Z","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":"9d4bec31ea9fc31cfcd1020253c62d630802a7f503c0c520907db883f5194b96","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2009-01-30T18:31:39Z","title_canon_sha256":"6c8bd74217163dc0bd097ae244ff379664113f312ee53ed66d08f5aa9f2a95b1"},"schema_version":"1.0","source":{"id":"0901.4949","kind":"arxiv","version":1}},"canonical_sha256":"469abc76ba22066a21ab7e4ee2052000cb4ea946144d88803cd2f49f64f8f63a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"469abc76ba22066a21ab7e4ee2052000cb4ea946144d88803cd2f49f64f8f63a","first_computed_at":"2026-05-18T03:24:08.079616Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:24:08.079616Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"obF6VYCR1d+sQrpjSd/Ed9rGXjW03mYjp4ZHZxVfvCZ7Uw0/IAGEIPaUDXD7YMEMVh0TrGfb/W/PJ+FTmvPPDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:24:08.080176Z","signed_message":"canonical_sha256_bytes"},"source_id":"0901.4949","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3c1dad23efbbd32cf7eebe738ea561e5b73fbd321ddf7bada9755b7394923c3d","sha256:85558ead4d7d39628ff4cc39fb9e3d00730ea7010f6098848181e574cfb6e3aa"],"state_sha256":"06b948c41921165d276e9790b3bf787d806846866d0970637361a6851cc76d3a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m5KRObNPEg88uzO5iG2Jpp6N3UN2Xa+1yj1eDABc7R5H2TrOTpN/1Y5R6c1VWHcY/glvX2IVz5/o7FdxErMWDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T11:35:42.663399Z","bundle_sha256":"523ffb64efffa9d57008662acd36c1aee6afcf01127c5ad0e275b8457e847916"}}