{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:ZV3XXXOPWCWIWBTZSEJCGZ6PLG","short_pith_number":"pith:ZV3XXXOP","canonical_record":{"source":{"id":"1507.01132","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-07-04T17:54:50Z","cross_cats_sorted":[],"title_canon_sha256":"530d83447b5002143dbaf58e2d827c8102db7d44fcc205f66667ed3815857d27","abstract_canon_sha256":"bcf050872bf9f1b2618fef12a289f8999f72f72f047bd49d91d9c2c5907f921d"},"schema_version":"1.0"},"canonical_sha256":"cd777bddcfb0ac8b067991122367cf59a1d57b58c14b062e9a183f8183f2bd15","source":{"kind":"arxiv","id":"1507.01132","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.01132","created_at":"2026-05-18T01:37:18Z"},{"alias_kind":"arxiv_version","alias_value":"1507.01132v1","created_at":"2026-05-18T01:37:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.01132","created_at":"2026-05-18T01:37:18Z"},{"alias_kind":"pith_short_12","alias_value":"ZV3XXXOPWCWI","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"ZV3XXXOPWCWIWBTZ","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"ZV3XXXOP","created_at":"2026-05-18T12:29:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:ZV3XXXOPWCWIWBTZSEJCGZ6PLG","target":"record","payload":{"canonical_record":{"source":{"id":"1507.01132","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-07-04T17:54:50Z","cross_cats_sorted":[],"title_canon_sha256":"530d83447b5002143dbaf58e2d827c8102db7d44fcc205f66667ed3815857d27","abstract_canon_sha256":"bcf050872bf9f1b2618fef12a289f8999f72f72f047bd49d91d9c2c5907f921d"},"schema_version":"1.0"},"canonical_sha256":"cd777bddcfb0ac8b067991122367cf59a1d57b58c14b062e9a183f8183f2bd15","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:37:18.063525Z","signature_b64":"MXhdKJ+QVbiS15YuzW4XjDxvlTajRHJvdI1b82KFU/Gccjdw90p4EL1PbhPZQ+aYF4w3epWc+IkxcodQTLpgDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cd777bddcfb0ac8b067991122367cf59a1d57b58c14b062e9a183f8183f2bd15","last_reissued_at":"2026-05-18T01:37:18.062811Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:37:18.062811Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1507.01132","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":"2026-05-18T01:37:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mstzjysr2P2UipAvNfjh9x3BEaj3nhRDk/UQZd377bL/9qSHJvepcRILoYvZHilY91Zd+txPg1evhSlL2SB5Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T15:35:10.153249Z"},"content_sha256":"8d6e2c6046c75be0e70b748d2ebf0a54cca73be8fc546e74ef9a5ca1b30503b6","schema_version":"1.0","event_id":"sha256:8d6e2c6046c75be0e70b748d2ebf0a54cca73be8fc546e74ef9a5ca1b30503b6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:ZV3XXXOPWCWIWBTZSEJCGZ6PLG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Eikonal gluon radiation at finite-Nc beyond 2 loops","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Kamel Khelifa-Kerfa, Yazid Delenda","submitted_at":"2015-07-04T17:54:50Z","abstract_excerpt":"We present first calculations of QCD matrix-elements in perturbation theory at finite Nc beyond 2 loops in the eikonal approximation for e+ e- annihilation processes. For the emission of n soft energy-ordered gluons we solve both the colour and kinematic structures at a given order in perturbation theory by means of a Mathematica program that relies solely on a recently developed Mathematica code, ColorMath, that evaluates the trace of products of colour matrices. At large Nc, our squared amplitudes reduce to those already known in the literature."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.01132","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":"2026-05-18T01:37:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5QsjwaAvhx9i0KDX60rhFzl3eHtmYiwK+3A+cF4CVVaOpi7vaYQxordepxVXEcCF3CKujtRuksyYgqsHT3TbBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T15:35:10.153607Z"},"content_sha256":"648d61ea734936cb7cce0201d8692fb2b7a712c0fa11d4ada6a9d93f065773ba","schema_version":"1.0","event_id":"sha256:648d61ea734936cb7cce0201d8692fb2b7a712c0fa11d4ada6a9d93f065773ba"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZV3XXXOPWCWIWBTZSEJCGZ6PLG/bundle.json","state_url":"https://pith.science/pith/ZV3XXXOPWCWIWBTZSEJCGZ6PLG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZV3XXXOPWCWIWBTZSEJCGZ6PLG/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":"2026-06-28T15:35:10Z","links":{"resolver":"https://pith.science/pith/ZV3XXXOPWCWIWBTZSEJCGZ6PLG","bundle":"https://pith.science/pith/ZV3XXXOPWCWIWBTZSEJCGZ6PLG/bundle.json","state":"https://pith.science/pith/ZV3XXXOPWCWIWBTZSEJCGZ6PLG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZV3XXXOPWCWIWBTZSEJCGZ6PLG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:ZV3XXXOPWCWIWBTZSEJCGZ6PLG","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":"bcf050872bf9f1b2618fef12a289f8999f72f72f047bd49d91d9c2c5907f921d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-07-04T17:54:50Z","title_canon_sha256":"530d83447b5002143dbaf58e2d827c8102db7d44fcc205f66667ed3815857d27"},"schema_version":"1.0","source":{"id":"1507.01132","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.01132","created_at":"2026-05-18T01:37:18Z"},{"alias_kind":"arxiv_version","alias_value":"1507.01132v1","created_at":"2026-05-18T01:37:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.01132","created_at":"2026-05-18T01:37:18Z"},{"alias_kind":"pith_short_12","alias_value":"ZV3XXXOPWCWI","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"ZV3XXXOPWCWIWBTZ","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"ZV3XXXOP","created_at":"2026-05-18T12:29:52Z"}],"graph_snapshots":[{"event_id":"sha256:648d61ea734936cb7cce0201d8692fb2b7a712c0fa11d4ada6a9d93f065773ba","target":"graph","created_at":"2026-05-18T01:37:18Z","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 present first calculations of QCD matrix-elements in perturbation theory at finite Nc beyond 2 loops in the eikonal approximation for e+ e- annihilation processes. For the emission of n soft energy-ordered gluons we solve both the colour and kinematic structures at a given order in perturbation theory by means of a Mathematica program that relies solely on a recently developed Mathematica code, ColorMath, that evaluates the trace of products of colour matrices. At large Nc, our squared amplitudes reduce to those already known in the literature.","authors_text":"Kamel Khelifa-Kerfa, Yazid Delenda","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-07-04T17:54:50Z","title":"Eikonal gluon radiation at finite-Nc beyond 2 loops"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.01132","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":"sha256:8d6e2c6046c75be0e70b748d2ebf0a54cca73be8fc546e74ef9a5ca1b30503b6","target":"record","created_at":"2026-05-18T01:37:18Z","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":"bcf050872bf9f1b2618fef12a289f8999f72f72f047bd49d91d9c2c5907f921d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-07-04T17:54:50Z","title_canon_sha256":"530d83447b5002143dbaf58e2d827c8102db7d44fcc205f66667ed3815857d27"},"schema_version":"1.0","source":{"id":"1507.01132","kind":"arxiv","version":1}},"canonical_sha256":"cd777bddcfb0ac8b067991122367cf59a1d57b58c14b062e9a183f8183f2bd15","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cd777bddcfb0ac8b067991122367cf59a1d57b58c14b062e9a183f8183f2bd15","first_computed_at":"2026-05-18T01:37:18.062811Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:37:18.062811Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MXhdKJ+QVbiS15YuzW4XjDxvlTajRHJvdI1b82KFU/Gccjdw90p4EL1PbhPZQ+aYF4w3epWc+IkxcodQTLpgDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:37:18.063525Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.01132","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8d6e2c6046c75be0e70b748d2ebf0a54cca73be8fc546e74ef9a5ca1b30503b6","sha256:648d61ea734936cb7cce0201d8692fb2b7a712c0fa11d4ada6a9d93f065773ba"],"state_sha256":"0650bc1e89d6a209e0023f98d9ea0cb8edb92ea2ab8c996b03201c44f47e931a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NicOf830Pg5EVXPuK+DbH6Xz/QUUHOsgCCyMtK4pIK4/HzMIYv3PFA9SDK7VDB2rrpzpWbsh8pVHSgUEu0ngAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T15:35:10.155538Z","bundle_sha256":"9792de82770d7480c49b96ec107aa830b5da292a911df1869172fe87bd27024a"}}