{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:N3EOJEQ6M3ENAXBB5N46CKUM3Q","short_pith_number":"pith:N3EOJEQ6","canonical_record":{"source":{"id":"1608.00850","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-08-02T14:50:56Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"5c07e811853084bdcec280756400a4854332e6a3a826e5c34fd1d6d83764b9bd","abstract_canon_sha256":"02869b8b3c05809a1935e675b65aac507d45cf2372c54cf2506c8704234da8a4"},"schema_version":"1.0"},"canonical_sha256":"6ec8e4921e66c8d05c21eb79e12a8cdc328b1f1f8534a77254317655ec0c5aba","source":{"kind":"arxiv","id":"1608.00850","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.00850","created_at":"2026-05-18T01:01:22Z"},{"alias_kind":"arxiv_version","alias_value":"1608.00850v1","created_at":"2026-05-18T01:01:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.00850","created_at":"2026-05-18T01:01:22Z"},{"alias_kind":"pith_short_12","alias_value":"N3EOJEQ6M3EN","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"N3EOJEQ6M3ENAXBB","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"N3EOJEQ6","created_at":"2026-05-18T12:30:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:N3EOJEQ6M3ENAXBB5N46CKUM3Q","target":"record","payload":{"canonical_record":{"source":{"id":"1608.00850","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-08-02T14:50:56Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"5c07e811853084bdcec280756400a4854332e6a3a826e5c34fd1d6d83764b9bd","abstract_canon_sha256":"02869b8b3c05809a1935e675b65aac507d45cf2372c54cf2506c8704234da8a4"},"schema_version":"1.0"},"canonical_sha256":"6ec8e4921e66c8d05c21eb79e12a8cdc328b1f1f8534a77254317655ec0c5aba","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:01:22.785087Z","signature_b64":"bvfd02lVzYTRH4q68EZZvXBoO/B+F4KAgQEka5YXvbdnlyHf3YqNmNGJHm9zm+3oKip2OeV68YidrqPnNjDSBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6ec8e4921e66c8d05c21eb79e12a8cdc328b1f1f8534a77254317655ec0c5aba","last_reissued_at":"2026-05-18T01:01:22.784659Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:01:22.784659Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1608.00850","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":"2026-05-18T01:01:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gmZy0HJjWb6lL1TaKxLqJDb1hlvv37PbR40VMbAxYlW688HUlymDHiNI2r3YFZJYTxUvd/aDK1rvKD8hk95EAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T05:17:18.668341Z"},"content_sha256":"89642349ebfd0649d68590701a8951a21e665d009afaaadd7737242f83090fbf","schema_version":"1.0","event_id":"sha256:89642349ebfd0649d68590701a8951a21e665d009afaaadd7737242f83090fbf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:N3EOJEQ6M3ENAXBB5N46CKUM3Q","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Four-gluon scattering at three loops, infrared structure and Regge limit","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Bernhard Mistlberger, Johannes M. Henn","submitted_at":"2016-08-02T14:50:56Z","abstract_excerpt":"We compute the three-loop four-gluon scattering amplitude in maximally supersymmetric Yang-Mills theory, including its full color dependence. Our result is the first complete computation of a non-planar four-particle scattering amplitude to three loops in four-dimensional gauge theory and consequently provides highly non-trivial data for the study of non-planar scattering amplitudes. We present the amplitude as a Laurent expansion in the dimensional regulator to finite order, with coefficients composed of harmonic poly-logarithms of uniform transcendental weight, and simple rational prefactors"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.00850","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":"2026-05-18T01:01:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"upVX/Bd8LuxkN31UHpGgr6IhQVcejr4/9OYG4oMIIty0LrTFkHv4LiSfbfPR3yifSKSUoK5YyKmgSOoCkdvqCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T05:17:18.668936Z"},"content_sha256":"0c5f238bedb5cdab83aa6fb4045d73abe6f2d12b0ab1d3af2baac6a25caa33f7","schema_version":"1.0","event_id":"sha256:0c5f238bedb5cdab83aa6fb4045d73abe6f2d12b0ab1d3af2baac6a25caa33f7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/N3EOJEQ6M3ENAXBB5N46CKUM3Q/bundle.json","state_url":"https://pith.science/pith/N3EOJEQ6M3ENAXBB5N46CKUM3Q/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/N3EOJEQ6M3ENAXBB5N46CKUM3Q/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":"2026-05-26T05:17:18Z","links":{"resolver":"https://pith.science/pith/N3EOJEQ6M3ENAXBB5N46CKUM3Q","bundle":"https://pith.science/pith/N3EOJEQ6M3ENAXBB5N46CKUM3Q/bundle.json","state":"https://pith.science/pith/N3EOJEQ6M3ENAXBB5N46CKUM3Q/state.json","well_known_bundle":"https://pith.science/.well-known/pith/N3EOJEQ6M3ENAXBB5N46CKUM3Q/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:N3EOJEQ6M3ENAXBB5N46CKUM3Q","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":"02869b8b3c05809a1935e675b65aac507d45cf2372c54cf2506c8704234da8a4","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-08-02T14:50:56Z","title_canon_sha256":"5c07e811853084bdcec280756400a4854332e6a3a826e5c34fd1d6d83764b9bd"},"schema_version":"1.0","source":{"id":"1608.00850","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.00850","created_at":"2026-05-18T01:01:22Z"},{"alias_kind":"arxiv_version","alias_value":"1608.00850v1","created_at":"2026-05-18T01:01:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.00850","created_at":"2026-05-18T01:01:22Z"},{"alias_kind":"pith_short_12","alias_value":"N3EOJEQ6M3EN","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"N3EOJEQ6M3ENAXBB","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"N3EOJEQ6","created_at":"2026-05-18T12:30:32Z"}],"graph_snapshots":[{"event_id":"sha256:0c5f238bedb5cdab83aa6fb4045d73abe6f2d12b0ab1d3af2baac6a25caa33f7","target":"graph","created_at":"2026-05-18T01:01:22Z","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 three-loop four-gluon scattering amplitude in maximally supersymmetric Yang-Mills theory, including its full color dependence. Our result is the first complete computation of a non-planar four-particle scattering amplitude to three loops in four-dimensional gauge theory and consequently provides highly non-trivial data for the study of non-planar scattering amplitudes. We present the amplitude as a Laurent expansion in the dimensional regulator to finite order, with coefficients composed of harmonic poly-logarithms of uniform transcendental weight, and simple rational prefactors","authors_text":"Bernhard Mistlberger, Johannes M. Henn","cross_cats":["hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-08-02T14:50:56Z","title":"Four-gluon scattering at three loops, infrared structure and Regge limit"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.00850","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":"sha256:89642349ebfd0649d68590701a8951a21e665d009afaaadd7737242f83090fbf","target":"record","created_at":"2026-05-18T01:01:22Z","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":"02869b8b3c05809a1935e675b65aac507d45cf2372c54cf2506c8704234da8a4","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-08-02T14:50:56Z","title_canon_sha256":"5c07e811853084bdcec280756400a4854332e6a3a826e5c34fd1d6d83764b9bd"},"schema_version":"1.0","source":{"id":"1608.00850","kind":"arxiv","version":1}},"canonical_sha256":"6ec8e4921e66c8d05c21eb79e12a8cdc328b1f1f8534a77254317655ec0c5aba","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6ec8e4921e66c8d05c21eb79e12a8cdc328b1f1f8534a77254317655ec0c5aba","first_computed_at":"2026-05-18T01:01:22.784659Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:01:22.784659Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bvfd02lVzYTRH4q68EZZvXBoO/B+F4KAgQEka5YXvbdnlyHf3YqNmNGJHm9zm+3oKip2OeV68YidrqPnNjDSBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:01:22.785087Z","signed_message":"canonical_sha256_bytes"},"source_id":"1608.00850","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:89642349ebfd0649d68590701a8951a21e665d009afaaadd7737242f83090fbf","sha256:0c5f238bedb5cdab83aa6fb4045d73abe6f2d12b0ab1d3af2baac6a25caa33f7"],"state_sha256":"02dc62779167358441a7a41d279718818d967d6145042401edd7bd8d0295d480"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HPp2+ZJV8NSDPMaXsFIOOllfr9ZxyQnpDwRen4keDRS8XEk72cZpKkvXb3MZg9nWV99dOREDiwFi7QFQun+DAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T05:17:18.672511Z","bundle_sha256":"420df23e2fcb5b4fe44240621562dfca6b0106315babe72b4cac2574ea1e587b"}}