{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2000:SJZGS43RFMU7HUIL4ZGMU3XAJV","short_pith_number":"pith:SJZGS43R","canonical_record":{"source":{"id":"hep-ph/0001268","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2000-01-26T09:58:09Z","cross_cats_sorted":[],"title_canon_sha256":"34b7971b3ba20066037c03dda2e718e04bea23426b6595ce274ac2d3b0daf1fb","abstract_canon_sha256":"211b413c8cabe4285903587636b72a2b80895e670c9c429a96df041c1e610c98"},"schema_version":"1.0"},"canonical_sha256":"92726973712b29f3d10be64cca6ee04d44bc4a62c1a2a8270029283ca9210c0a","source":{"kind":"arxiv","id":"hep-ph/0001268","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0001268","created_at":"2026-05-18T04:13:26Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0001268v3","created_at":"2026-05-18T04:13:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0001268","created_at":"2026-05-18T04:13:26Z"},{"alias_kind":"pith_short_12","alias_value":"SJZGS43RFMU7","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"SJZGS43RFMU7HUIL","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"SJZGS43R","created_at":"2026-05-18T12:25:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2000:SJZGS43RFMU7HUIL4ZGMU3XAJV","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/0001268","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2000-01-26T09:58:09Z","cross_cats_sorted":[],"title_canon_sha256":"34b7971b3ba20066037c03dda2e718e04bea23426b6595ce274ac2d3b0daf1fb","abstract_canon_sha256":"211b413c8cabe4285903587636b72a2b80895e670c9c429a96df041c1e610c98"},"schema_version":"1.0"},"canonical_sha256":"92726973712b29f3d10be64cca6ee04d44bc4a62c1a2a8270029283ca9210c0a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:13:26.865443Z","signature_b64":"/zsCeEY8frcnxGeAlF4RRJXxlheM/BT9c9eqcRhFi3CdwwLQWLGCaJtsarD34w2y+K8ULkpibnke8RcWrKbLAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"92726973712b29f3d10be64cca6ee04d44bc4a62c1a2a8270029283ca9210c0a","last_reissued_at":"2026-05-18T04:13:26.864938Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:13:26.864938Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/0001268","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:13:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2ExGudobNW5gLqFDZCSu5wMPKklolawgr7SM2adyxsuydllbwxvD7NnL4XBQSpNIPUWWbg3kTglEK50wCnHXCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T14:03:58.102508Z"},"content_sha256":"3c6b700de92e182c3b00d061f4b34368c6f74c5457d530d3d582ea03c10ef1ed","schema_version":"1.0","event_id":"sha256:3c6b700de92e182c3b00d061f4b34368c6f74c5457d530d3d582ea03c10ef1ed"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2000:SJZGS43RFMU7HUIL4ZGMU3XAJV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Structure function of the nucleus in the perturbative QCD with $N_c\\to\\infty$ (BFKL pomeron fan diagrams)","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"M.A.Braun","submitted_at":"2000-01-26T09:58:09Z","abstract_excerpt":"Equation for the sum of BFKL pomeron fan diagrams is rederived by direct summation and solved numerically for rapidities $y\\leq 50$. At high rapidities y>20 the resulting cross-sections for the scattering of a longitudinally polarized $q\\bar q$ pair on the nucleus cease to depend on its transverse dimension and tend to a constant limit 0.1768 $R_A^2$, which corresponds to scattering of a colour dipole on a black disk. Thus the unitarity is restored and the singularity in the j plane is reduced to a simple pole at j=1.The nuclear structure function at small x behaves as $Q^2\\ln(1/x)$. The found"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0001268","kind":"arxiv","version":3},"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":"2026-05-18T04:13:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QGCNwDAk8OgS0RDFexwAuiEslm0VVEf+J+MtM9GzC9FV8chThNv8YeTaWiLySscM0q++sIKvTTeZXnEtwgxNBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T14:03:58.103182Z"},"content_sha256":"f449e3f56efedacdfcc7bee687aecc9a8415d32527ebf266336e7b69f5b07103","schema_version":"1.0","event_id":"sha256:f449e3f56efedacdfcc7bee687aecc9a8415d32527ebf266336e7b69f5b07103"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SJZGS43RFMU7HUIL4ZGMU3XAJV/bundle.json","state_url":"https://pith.science/pith/SJZGS43RFMU7HUIL4ZGMU3XAJV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SJZGS43RFMU7HUIL4ZGMU3XAJV/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":"2026-06-07T14:03:58Z","links":{"resolver":"https://pith.science/pith/SJZGS43RFMU7HUIL4ZGMU3XAJV","bundle":"https://pith.science/pith/SJZGS43RFMU7HUIL4ZGMU3XAJV/bundle.json","state":"https://pith.science/pith/SJZGS43RFMU7HUIL4ZGMU3XAJV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SJZGS43RFMU7HUIL4ZGMU3XAJV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:SJZGS43RFMU7HUIL4ZGMU3XAJV","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":"211b413c8cabe4285903587636b72a2b80895e670c9c429a96df041c1e610c98","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2000-01-26T09:58:09Z","title_canon_sha256":"34b7971b3ba20066037c03dda2e718e04bea23426b6595ce274ac2d3b0daf1fb"},"schema_version":"1.0","source":{"id":"hep-ph/0001268","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0001268","created_at":"2026-05-18T04:13:26Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0001268v3","created_at":"2026-05-18T04:13:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0001268","created_at":"2026-05-18T04:13:26Z"},{"alias_kind":"pith_short_12","alias_value":"SJZGS43RFMU7","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"SJZGS43RFMU7HUIL","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"SJZGS43R","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:f449e3f56efedacdfcc7bee687aecc9a8415d32527ebf266336e7b69f5b07103","target":"graph","created_at":"2026-05-18T04:13:26Z","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":"Equation for the sum of BFKL pomeron fan diagrams is rederived by direct summation and solved numerically for rapidities $y\\leq 50$. At high rapidities y>20 the resulting cross-sections for the scattering of a longitudinally polarized $q\\bar q$ pair on the nucleus cease to depend on its transverse dimension and tend to a constant limit 0.1768 $R_A^2$, which corresponds to scattering of a colour dipole on a black disk. Thus the unitarity is restored and the singularity in the j plane is reduced to a simple pole at j=1.The nuclear structure function at small x behaves as $Q^2\\ln(1/x)$. The found","authors_text":"M.A.Braun","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2000-01-26T09:58:09Z","title":"Structure function of the nucleus in the perturbative QCD with $N_c\\to\\infty$ (BFKL pomeron fan diagrams)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0001268","kind":"arxiv","version":3},"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":"sha256:3c6b700de92e182c3b00d061f4b34368c6f74c5457d530d3d582ea03c10ef1ed","target":"record","created_at":"2026-05-18T04:13:26Z","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":"211b413c8cabe4285903587636b72a2b80895e670c9c429a96df041c1e610c98","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2000-01-26T09:58:09Z","title_canon_sha256":"34b7971b3ba20066037c03dda2e718e04bea23426b6595ce274ac2d3b0daf1fb"},"schema_version":"1.0","source":{"id":"hep-ph/0001268","kind":"arxiv","version":3}},"canonical_sha256":"92726973712b29f3d10be64cca6ee04d44bc4a62c1a2a8270029283ca9210c0a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"92726973712b29f3d10be64cca6ee04d44bc4a62c1a2a8270029283ca9210c0a","first_computed_at":"2026-05-18T04:13:26.864938Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:13:26.864938Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/zsCeEY8frcnxGeAlF4RRJXxlheM/BT9c9eqcRhFi3CdwwLQWLGCaJtsarD34w2y+K8ULkpibnke8RcWrKbLAA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:13:26.865443Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0001268","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3c6b700de92e182c3b00d061f4b34368c6f74c5457d530d3d582ea03c10ef1ed","sha256:f449e3f56efedacdfcc7bee687aecc9a8415d32527ebf266336e7b69f5b07103"],"state_sha256":"7a7e9f437a43f39315eb4a56f9923d27c218abebe594d72a2edb688381ef178a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2A3ABIxewd1pWAwrzCozm746LjyFYB+tzDkcuZM0BM5tMKub0IfnTVq9RT7NfMbfTXwMMqNaUGqtpo4UO8PCAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T14:03:58.107239Z","bundle_sha256":"37235dfe410efb3acf96921d2decd53ee1e4efa0b60cf5ef19ca00f9f2babe2c"}}