{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:TXMC5ZSJP3MXPLJXOII3FVBOF7","short_pith_number":"pith:TXMC5ZSJ","canonical_record":{"source":{"id":"1910.06684","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2019-10-15T12:37:16Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"fa7b2f756aceb03c517e62ff6c73d5c05780e6300eb9d8a8619ff796d8946b65","abstract_canon_sha256":"c0c3cb551e579adc3ddeaa8272f285315e8e55b5b37fcd1f3bf27ac562136e62"},"schema_version":"1.0"},"canonical_sha256":"9dd82ee6497ed977ad377211b2d42e2ff1c2227245fb46c2dc5c7641f61c1ed7","source":{"kind":"arxiv","id":"1910.06684","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1910.06684","created_at":"2026-07-05T00:35:02Z"},{"alias_kind":"arxiv_version","alias_value":"1910.06684v2","created_at":"2026-07-05T00:35:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1910.06684","created_at":"2026-07-05T00:35:02Z"},{"alias_kind":"pith_short_12","alias_value":"TXMC5ZSJP3MX","created_at":"2026-07-05T00:35:02Z"},{"alias_kind":"pith_short_16","alias_value":"TXMC5ZSJP3MXPLJX","created_at":"2026-07-05T00:35:02Z"},{"alias_kind":"pith_short_8","alias_value":"TXMC5ZSJ","created_at":"2026-07-05T00:35:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:TXMC5ZSJP3MXPLJXOII3FVBOF7","target":"record","payload":{"canonical_record":{"source":{"id":"1910.06684","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2019-10-15T12:37:16Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"fa7b2f756aceb03c517e62ff6c73d5c05780e6300eb9d8a8619ff796d8946b65","abstract_canon_sha256":"c0c3cb551e579adc3ddeaa8272f285315e8e55b5b37fcd1f3bf27ac562136e62"},"schema_version":"1.0"},"canonical_sha256":"9dd82ee6497ed977ad377211b2d42e2ff1c2227245fb46c2dc5c7641f61c1ed7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:35:02.584011Z","signature_b64":"uiyWIyyuEPxLFmSN97EZLmZ5IPZ4Tysj2sn9ZunmGm6FEsANN/ANevqOK8vdzJ1gDIKMDHhIeg/Ro5k3WKiGCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9dd82ee6497ed977ad377211b2d42e2ff1c2227245fb46c2dc5c7641f61c1ed7","last_reissued_at":"2026-07-05T00:35:02.583516Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:35:02.583516Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1910.06684","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":"2026-07-05T00:35:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TVoN7DCnr8AfLrozEiBgKgZx7OCN6E2aQZVAFogl89M+iIlA+Nwr3dT3TMy1VfEOFFEB8H8ccxhEHOd0EA/XDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T16:00:24.190530Z"},"content_sha256":"53697a9c81dd692e64140b893cd85c1a99a0d3242ff11b7ef0614ab4cde4981b","schema_version":"1.0","event_id":"sha256:53697a9c81dd692e64140b893cd85c1a99a0d3242ff11b7ef0614ab4cde4981b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:TXMC5ZSJP3MXPLJXOII3FVBOF7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Four-particle scattering amplitudes in QCD at NNLO to higher orders in the dimensional regulator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Bernhard Mistlberger, Johannes Henn, Taushif Ahmed","submitted_at":"2019-10-15T12:37:16Z","abstract_excerpt":"We compute all helicity amplitudes for four-particle scattering in massless QCD with $n_f$ fermion flavours to next-to-next-to-leading order (NNLO) in perturbation theory. In particular, we consider all possible configurations of external quarks and gluons. We evaluate the amplitudes in terms of a Laurent series in the dimensional regulator to the order required for future next-to-next-to-next-to-leading order (N$^3$LO) calculations. The coefficients of the Laurent series are given in terms of harmonic polylogarithms that can readily be evaluated numerically. We present our findings in the con"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1910.06684","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1910.06684/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T00:35:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HpSv8nweTkfUqHhEkG3PbEMbmwpfUZkbbiCk5oE416QB0ED1ERhChRYdtUgcnHP3oYXl5rqSJg/SJLvXeNgpDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T16:00:24.191117Z"},"content_sha256":"db56341cd5073816199da746f88227da21b99fb3ac23700a0aafaa3d632e696f","schema_version":"1.0","event_id":"sha256:db56341cd5073816199da746f88227da21b99fb3ac23700a0aafaa3d632e696f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TXMC5ZSJP3MXPLJXOII3FVBOF7/bundle.json","state_url":"https://pith.science/pith/TXMC5ZSJP3MXPLJXOII3FVBOF7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TXMC5ZSJP3MXPLJXOII3FVBOF7/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":"2026-08-06T16:00:24Z","links":{"resolver":"https://pith.science/pith/TXMC5ZSJP3MXPLJXOII3FVBOF7","bundle":"https://pith.science/pith/TXMC5ZSJP3MXPLJXOII3FVBOF7/bundle.json","state":"https://pith.science/pith/TXMC5ZSJP3MXPLJXOII3FVBOF7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TXMC5ZSJP3MXPLJXOII3FVBOF7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:TXMC5ZSJP3MXPLJXOII3FVBOF7","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":"c0c3cb551e579adc3ddeaa8272f285315e8e55b5b37fcd1f3bf27ac562136e62","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2019-10-15T12:37:16Z","title_canon_sha256":"fa7b2f756aceb03c517e62ff6c73d5c05780e6300eb9d8a8619ff796d8946b65"},"schema_version":"1.0","source":{"id":"1910.06684","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1910.06684","created_at":"2026-07-05T00:35:02Z"},{"alias_kind":"arxiv_version","alias_value":"1910.06684v2","created_at":"2026-07-05T00:35:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1910.06684","created_at":"2026-07-05T00:35:02Z"},{"alias_kind":"pith_short_12","alias_value":"TXMC5ZSJP3MX","created_at":"2026-07-05T00:35:02Z"},{"alias_kind":"pith_short_16","alias_value":"TXMC5ZSJP3MXPLJX","created_at":"2026-07-05T00:35:02Z"},{"alias_kind":"pith_short_8","alias_value":"TXMC5ZSJ","created_at":"2026-07-05T00:35:02Z"}],"graph_snapshots":[{"event_id":"sha256:db56341cd5073816199da746f88227da21b99fb3ac23700a0aafaa3d632e696f","target":"graph","created_at":"2026-07-05T00:35:02Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1910.06684/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We compute all helicity amplitudes for four-particle scattering in massless QCD with $n_f$ fermion flavours to next-to-next-to-leading order (NNLO) in perturbation theory. In particular, we consider all possible configurations of external quarks and gluons. We evaluate the amplitudes in terms of a Laurent series in the dimensional regulator to the order required for future next-to-next-to-next-to-leading order (N$^3$LO) calculations. The coefficients of the Laurent series are given in terms of harmonic polylogarithms that can readily be evaluated numerically. We present our findings in the con","authors_text":"Bernhard Mistlberger, Johannes Henn, Taushif Ahmed","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2019-10-15T12:37:16Z","title":"Four-particle scattering amplitudes in QCD at NNLO to higher orders in the dimensional regulator"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1910.06684","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":"sha256:53697a9c81dd692e64140b893cd85c1a99a0d3242ff11b7ef0614ab4cde4981b","target":"record","created_at":"2026-07-05T00:35:02Z","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":"c0c3cb551e579adc3ddeaa8272f285315e8e55b5b37fcd1f3bf27ac562136e62","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2019-10-15T12:37:16Z","title_canon_sha256":"fa7b2f756aceb03c517e62ff6c73d5c05780e6300eb9d8a8619ff796d8946b65"},"schema_version":"1.0","source":{"id":"1910.06684","kind":"arxiv","version":2}},"canonical_sha256":"9dd82ee6497ed977ad377211b2d42e2ff1c2227245fb46c2dc5c7641f61c1ed7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9dd82ee6497ed977ad377211b2d42e2ff1c2227245fb46c2dc5c7641f61c1ed7","first_computed_at":"2026-07-05T00:35:02.583516Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:35:02.583516Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uiyWIyyuEPxLFmSN97EZLmZ5IPZ4Tysj2sn9ZunmGm6FEsANN/ANevqOK8vdzJ1gDIKMDHhIeg/Ro5k3WKiGCg==","signature_status":"signed_v1","signed_at":"2026-07-05T00:35:02.584011Z","signed_message":"canonical_sha256_bytes"},"source_id":"1910.06684","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:53697a9c81dd692e64140b893cd85c1a99a0d3242ff11b7ef0614ab4cde4981b","sha256:db56341cd5073816199da746f88227da21b99fb3ac23700a0aafaa3d632e696f"],"state_sha256":"4c76fa76bd23aaacb58fc99490dc6f94565831f3c4ef719c8ae965b4e88438ad"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xUsatri5O0kgaUbCI+I1mnJU0CSmYKacnOerWTI627wE10Rhckb5ckbYAiIv2jmik0LhQQnGPodo8BJNsNooDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T16:00:24.196632Z","bundle_sha256":"1832dc5818a0d188e6661ae58dcad74184ee81e9c870af349d16d5fe7730df53"}}