{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:NCJMWMPIVUPM7JYBREEVEWSTNW","short_pith_number":"pith:NCJMWMPI","canonical_record":{"source":{"id":"hep-ph/0501193","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2005-01-20T19:00:30Z","cross_cats_sorted":[],"title_canon_sha256":"c17f10fd0d3eac4340d4d1f3a0f6f1ddaf480763bec1d4cc24999555cd824103","abstract_canon_sha256":"600283c911c297c9139c50796d6b9378067647b632a5089a8a71897999170cd1"},"schema_version":"1.0"},"canonical_sha256":"6892cb31e8ad1ecfa7018909525a536db577173be6abe166cb459c13dc6016f4","source":{"kind":"arxiv","id":"hep-ph/0501193","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0501193","created_at":"2026-05-18T04:31:01Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0501193v1","created_at":"2026-05-18T04:31:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0501193","created_at":"2026-05-18T04:31:01Z"},{"alias_kind":"pith_short_12","alias_value":"NCJMWMPIVUPM","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"NCJMWMPIVUPM7JYB","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"NCJMWMPI","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:NCJMWMPIVUPM7JYBREEVEWSTNW","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/0501193","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2005-01-20T19:00:30Z","cross_cats_sorted":[],"title_canon_sha256":"c17f10fd0d3eac4340d4d1f3a0f6f1ddaf480763bec1d4cc24999555cd824103","abstract_canon_sha256":"600283c911c297c9139c50796d6b9378067647b632a5089a8a71897999170cd1"},"schema_version":"1.0"},"canonical_sha256":"6892cb31e8ad1ecfa7018909525a536db577173be6abe166cb459c13dc6016f4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:31:01.855647Z","signature_b64":"d6yEMq0MA9eZIWur3XcSJ4DL3ihN3QfvLCOkkmbhgyVRS1BIv9hrGt9yfIcwdCTRe9PtXF3uUNMrUy5rAAk8BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6892cb31e8ad1ecfa7018909525a536db577173be6abe166cb459c13dc6016f4","last_reissued_at":"2026-05-18T04:31:01.854731Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:31:01.854731Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/0501193","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":"2026-05-18T04:31:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7b3HlROXuB7laTg0kQ6aV+9hCVOfR5DNCpk4QHo5YT2AC+FoF5JjmtcFeAb2hN0ft3x5FzKwO/Ggw/NsKR0JDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T18:25:20.414591Z"},"content_sha256":"68ffda6f710769ea2df01f1e78e88dc15e9f7fa206f34cde7483123267034392","schema_version":"1.0","event_id":"sha256:68ffda6f710769ea2df01f1e78e88dc15e9f7fa206f34cde7483123267034392"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:NCJMWMPIVUPM7JYBREEVEWSTNW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Non-linear QCD evolution with improved triple-pomeron vertices","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"D.N.Triantafyllopoulos, E.Iancu","submitted_at":"2005-01-20T19:00:30Z","abstract_excerpt":"In a previous publication, we have constructed a set of non-linear evolution equations for dipole scattering amplitudes in QCD at high energy, which extends the Balitsky-JIMWLK hierarchy by including the effects of fluctuations in the gluon number in the target wavefunction. In doing so, we have relied on the color dipole picture, valid in the limit where the number of colors is large, and we have made some further approximations on the relation between scattering amplitudes and dipole densities, which amount to neglecting the non-locality of the two-gluon exchanges. In this Letter, we relax t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0501193","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":"2026-05-18T04:31:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9i1smbkhEWNiMZ2QOHJGMdFVjDnY78Uxujk9CTHU0Xpcf7t65vfbCiaFX5Jxlh6KlkelhjwA1FZdJb1yZ0pmBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T18:25:20.414940Z"},"content_sha256":"6216f19ee743ade5f9cfeb69018ef12c22c5986ff8424d9d226ce5ecd297096f","schema_version":"1.0","event_id":"sha256:6216f19ee743ade5f9cfeb69018ef12c22c5986ff8424d9d226ce5ecd297096f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NCJMWMPIVUPM7JYBREEVEWSTNW/bundle.json","state_url":"https://pith.science/pith/NCJMWMPIVUPM7JYBREEVEWSTNW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NCJMWMPIVUPM7JYBREEVEWSTNW/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":"2026-06-04T18:25:20Z","links":{"resolver":"https://pith.science/pith/NCJMWMPIVUPM7JYBREEVEWSTNW","bundle":"https://pith.science/pith/NCJMWMPIVUPM7JYBREEVEWSTNW/bundle.json","state":"https://pith.science/pith/NCJMWMPIVUPM7JYBREEVEWSTNW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NCJMWMPIVUPM7JYBREEVEWSTNW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:NCJMWMPIVUPM7JYBREEVEWSTNW","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":"600283c911c297c9139c50796d6b9378067647b632a5089a8a71897999170cd1","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2005-01-20T19:00:30Z","title_canon_sha256":"c17f10fd0d3eac4340d4d1f3a0f6f1ddaf480763bec1d4cc24999555cd824103"},"schema_version":"1.0","source":{"id":"hep-ph/0501193","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0501193","created_at":"2026-05-18T04:31:01Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0501193v1","created_at":"2026-05-18T04:31:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0501193","created_at":"2026-05-18T04:31:01Z"},{"alias_kind":"pith_short_12","alias_value":"NCJMWMPIVUPM","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"NCJMWMPIVUPM7JYB","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"NCJMWMPI","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:6216f19ee743ade5f9cfeb69018ef12c22c5986ff8424d9d226ce5ecd297096f","target":"graph","created_at":"2026-05-18T04:31:01Z","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":"In a previous publication, we have constructed a set of non-linear evolution equations for dipole scattering amplitudes in QCD at high energy, which extends the Balitsky-JIMWLK hierarchy by including the effects of fluctuations in the gluon number in the target wavefunction. In doing so, we have relied on the color dipole picture, valid in the limit where the number of colors is large, and we have made some further approximations on the relation between scattering amplitudes and dipole densities, which amount to neglecting the non-locality of the two-gluon exchanges. In this Letter, we relax t","authors_text":"D.N.Triantafyllopoulos, E.Iancu","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2005-01-20T19:00:30Z","title":"Non-linear QCD evolution with improved triple-pomeron vertices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0501193","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":"sha256:68ffda6f710769ea2df01f1e78e88dc15e9f7fa206f34cde7483123267034392","target":"record","created_at":"2026-05-18T04:31:01Z","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":"600283c911c297c9139c50796d6b9378067647b632a5089a8a71897999170cd1","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2005-01-20T19:00:30Z","title_canon_sha256":"c17f10fd0d3eac4340d4d1f3a0f6f1ddaf480763bec1d4cc24999555cd824103"},"schema_version":"1.0","source":{"id":"hep-ph/0501193","kind":"arxiv","version":1}},"canonical_sha256":"6892cb31e8ad1ecfa7018909525a536db577173be6abe166cb459c13dc6016f4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6892cb31e8ad1ecfa7018909525a536db577173be6abe166cb459c13dc6016f4","first_computed_at":"2026-05-18T04:31:01.854731Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:31:01.854731Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"d6yEMq0MA9eZIWur3XcSJ4DL3ihN3QfvLCOkkmbhgyVRS1BIv9hrGt9yfIcwdCTRe9PtXF3uUNMrUy5rAAk8BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:31:01.855647Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0501193","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:68ffda6f710769ea2df01f1e78e88dc15e9f7fa206f34cde7483123267034392","sha256:6216f19ee743ade5f9cfeb69018ef12c22c5986ff8424d9d226ce5ecd297096f"],"state_sha256":"a3a7b39424bb95bdc734e889f63fd5fbb4cf5bb53b017dbeba88a9785d21f321"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KxTLwGUFH12V2WgFZ+cpOofXnUzEzPzcQTSDggZk93tYcRorcqW8LZ/iCgXwj6kBT8j+uNJMLfR9R3Y02W07Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T18:25:20.416963Z","bundle_sha256":"5997d5b238b6903dfa50f00216423149d908e1027e3d0ac5a752bd933b1d3733"}}