{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:E5LKDPZEUQ436VYDQX2YFXIO3L","short_pith_number":"pith:E5LKDPZE","canonical_record":{"source":{"id":"1507.08797","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-07-31T08:36:43Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"8003cca787f7a9eec4af7fba5afb5880ed59d6350403b0f092a490000e36c0e1","abstract_canon_sha256":"14ffd54a556a40288fe6eb10414cfb9ad76dfb014bc389f67aca2f1e869ee1ff"},"schema_version":"1.0"},"canonical_sha256":"2756a1bf24a439bf570385f582dd0edafba7d03289c46efea50fe96a2e53f773","source":{"kind":"arxiv","id":"1507.08797","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.08797","created_at":"2026-05-18T01:30:07Z"},{"alias_kind":"arxiv_version","alias_value":"1507.08797v2","created_at":"2026-05-18T01:30:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.08797","created_at":"2026-05-18T01:30:07Z"},{"alias_kind":"pith_short_12","alias_value":"E5LKDPZEUQ43","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"E5LKDPZEUQ436VYD","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"E5LKDPZE","created_at":"2026-05-18T12:29:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:E5LKDPZEUQ436VYDQX2YFXIO3L","target":"record","payload":{"canonical_record":{"source":{"id":"1507.08797","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-07-31T08:36:43Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"8003cca787f7a9eec4af7fba5afb5880ed59d6350403b0f092a490000e36c0e1","abstract_canon_sha256":"14ffd54a556a40288fe6eb10414cfb9ad76dfb014bc389f67aca2f1e869ee1ff"},"schema_version":"1.0"},"canonical_sha256":"2756a1bf24a439bf570385f582dd0edafba7d03289c46efea50fe96a2e53f773","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:30:07.829790Z","signature_b64":"lMdUPt65mI8IvsmFK6WMH6Q3kw48CH+wGGZJQANh8Hvtn9z9el/3OKxjMY+8fNL1Nzh4sXtP45tjk6j++d51Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2756a1bf24a439bf570385f582dd0edafba7d03289c46efea50fe96a2e53f773","last_reissued_at":"2026-05-18T01:30:07.829046Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:30:07.829046Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1507.08797","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:30:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mX4YcTfJlmsJcM+rIzb4A7qGsBSN6/vAS0vAG0xi94cm5aStOwOUwz5vCDo6RBdlAF2kNi033L3KAcLf3LTwAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T05:58:28.690078Z"},"content_sha256":"becf8c7d8ffd7a5914370bb9322538e93cfb873e4cab88432c20b376d24b63d2","schema_version":"1.0","event_id":"sha256:becf8c7d8ffd7a5914370bb9322538e93cfb873e4cab88432c20b376d24b63d2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:E5LKDPZEUQ436VYDQX2YFXIO3L","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Complete Two-Loop, Five-Gluon Helicity Amplitude in Yang-Mills Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Alexander Ochirov, Donal O'Connell, Gustav Mogull, Simon Badger","submitted_at":"2015-07-31T08:36:43Z","abstract_excerpt":"We compute the integrand of the full-colour, two-loop, five-gluon scattering amplitude in pure Yang-Mills theory with all helicities positive, using generalized unitarity cuts. Tree-level BCJ relations, satisfied by amplitudes appearing in the cuts, allow us to deduce all the necessary non-planar information for the full-colour amplitude from known planar data. We present our result in terms of irreducible numerators, with colour factors derived from the multi-peripheral colour decomposition. Finally, the leading soft divergences are checked to reproduce the expected infrared behaviour."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.08797","kind":"arxiv","version":2},"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":"2026-05-18T01:30:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O9CaL8bcZZtlGdYXfuPkjfCvOMKH8jgj648I5vOeXtypsy90d7Li2hKfZRZAq1Ao08cjyhS7i/KBmv38ANzWAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T05:58:28.690752Z"},"content_sha256":"2e259bff59800fa9376656d2b8c7a2325745147b6b38c2597c9659047bc09950","schema_version":"1.0","event_id":"sha256:2e259bff59800fa9376656d2b8c7a2325745147b6b38c2597c9659047bc09950"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/E5LKDPZEUQ436VYDQX2YFXIO3L/bundle.json","state_url":"https://pith.science/pith/E5LKDPZEUQ436VYDQX2YFXIO3L/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/E5LKDPZEUQ436VYDQX2YFXIO3L/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":"2026-05-26T05:58:28Z","links":{"resolver":"https://pith.science/pith/E5LKDPZEUQ436VYDQX2YFXIO3L","bundle":"https://pith.science/pith/E5LKDPZEUQ436VYDQX2YFXIO3L/bundle.json","state":"https://pith.science/pith/E5LKDPZEUQ436VYDQX2YFXIO3L/state.json","well_known_bundle":"https://pith.science/.well-known/pith/E5LKDPZEUQ436VYDQX2YFXIO3L/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:E5LKDPZEUQ436VYDQX2YFXIO3L","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":"14ffd54a556a40288fe6eb10414cfb9ad76dfb014bc389f67aca2f1e869ee1ff","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-07-31T08:36:43Z","title_canon_sha256":"8003cca787f7a9eec4af7fba5afb5880ed59d6350403b0f092a490000e36c0e1"},"schema_version":"1.0","source":{"id":"1507.08797","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.08797","created_at":"2026-05-18T01:30:07Z"},{"alias_kind":"arxiv_version","alias_value":"1507.08797v2","created_at":"2026-05-18T01:30:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.08797","created_at":"2026-05-18T01:30:07Z"},{"alias_kind":"pith_short_12","alias_value":"E5LKDPZEUQ43","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"E5LKDPZEUQ436VYD","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"E5LKDPZE","created_at":"2026-05-18T12:29:19Z"}],"graph_snapshots":[{"event_id":"sha256:2e259bff59800fa9376656d2b8c7a2325745147b6b38c2597c9659047bc09950","target":"graph","created_at":"2026-05-18T01:30:07Z","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 compute the integrand of the full-colour, two-loop, five-gluon scattering amplitude in pure Yang-Mills theory with all helicities positive, using generalized unitarity cuts. Tree-level BCJ relations, satisfied by amplitudes appearing in the cuts, allow us to deduce all the necessary non-planar information for the full-colour amplitude from known planar data. We present our result in terms of irreducible numerators, with colour factors derived from the multi-peripheral colour decomposition. Finally, the leading soft divergences are checked to reproduce the expected infrared behaviour.","authors_text":"Alexander Ochirov, Donal O'Connell, Gustav Mogull, Simon Badger","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-07-31T08:36:43Z","title":"A Complete Two-Loop, Five-Gluon Helicity Amplitude in Yang-Mills Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.08797","kind":"arxiv","version":2},"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:becf8c7d8ffd7a5914370bb9322538e93cfb873e4cab88432c20b376d24b63d2","target":"record","created_at":"2026-05-18T01:30:07Z","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":"14ffd54a556a40288fe6eb10414cfb9ad76dfb014bc389f67aca2f1e869ee1ff","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-07-31T08:36:43Z","title_canon_sha256":"8003cca787f7a9eec4af7fba5afb5880ed59d6350403b0f092a490000e36c0e1"},"schema_version":"1.0","source":{"id":"1507.08797","kind":"arxiv","version":2}},"canonical_sha256":"2756a1bf24a439bf570385f582dd0edafba7d03289c46efea50fe96a2e53f773","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2756a1bf24a439bf570385f582dd0edafba7d03289c46efea50fe96a2e53f773","first_computed_at":"2026-05-18T01:30:07.829046Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:30:07.829046Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lMdUPt65mI8IvsmFK6WMH6Q3kw48CH+wGGZJQANh8Hvtn9z9el/3OKxjMY+8fNL1Nzh4sXtP45tjk6j++d51Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T01:30:07.829790Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.08797","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:becf8c7d8ffd7a5914370bb9322538e93cfb873e4cab88432c20b376d24b63d2","sha256:2e259bff59800fa9376656d2b8c7a2325745147b6b38c2597c9659047bc09950"],"state_sha256":"bb7a2406a82fa82e97ffa2a25ef2a6c56e1df8f1d7efed9f3d72d7b6f814f47e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6Zb4eYHsvg94YY6qcUxl8nfOGAzSzTbOUVMZksuEVtR2uYRQk8ZaoSia4/hMHwRs6XcGVzkcrVplyuVKDusiCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T05:58:28.694427Z","bundle_sha256":"1c2a5892be83b6e2e8007eec4810ff1c3e005bc2411574707e331822b19249fb"}}