{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:6IZTKIB6GQAHX6SFBITCVKXA3G","short_pith_number":"pith:6IZTKIB6","canonical_record":{"source":{"id":"1710.10071","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-10-27T10:53:53Z","cross_cats_sorted":[],"title_canon_sha256":"975c393cb30e6044c8e7268552224786615273ac11e45379f3846233c51b25fe","abstract_canon_sha256":"69803ab70ace0632c7b492f27087b94409bc5a65d07e0ca96e9929c98e6bd0f6"},"schema_version":"1.0"},"canonical_sha256":"f23335203e34007bfa450a262aaae0d986fb12a4656d4933fa2d09c367abf3c1","source":{"kind":"arxiv","id":"1710.10071","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.10071","created_at":"2026-05-18T00:27:12Z"},{"alias_kind":"arxiv_version","alias_value":"1710.10071v2","created_at":"2026-05-18T00:27:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.10071","created_at":"2026-05-18T00:27:12Z"},{"alias_kind":"pith_short_12","alias_value":"6IZTKIB6GQAH","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_16","alias_value":"6IZTKIB6GQAHX6SF","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_8","alias_value":"6IZTKIB6","created_at":"2026-05-18T12:31:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:6IZTKIB6GQAHX6SFBITCVKXA3G","target":"record","payload":{"canonical_record":{"source":{"id":"1710.10071","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-10-27T10:53:53Z","cross_cats_sorted":[],"title_canon_sha256":"975c393cb30e6044c8e7268552224786615273ac11e45379f3846233c51b25fe","abstract_canon_sha256":"69803ab70ace0632c7b492f27087b94409bc5a65d07e0ca96e9929c98e6bd0f6"},"schema_version":"1.0"},"canonical_sha256":"f23335203e34007bfa450a262aaae0d986fb12a4656d4933fa2d09c367abf3c1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:27:12.542445Z","signature_b64":"9sKn+McMIzHp4GgHdKDeAQ01sPK9q/qVv4NIAVxP/caT9ilR82eYcwQ0YfhcHJ7ANiLuTl5Dh+0EI2iFXBBkCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f23335203e34007bfa450a262aaae0d986fb12a4656d4933fa2d09c367abf3c1","last_reissued_at":"2026-05-18T00:27:12.541872Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:27:12.541872Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1710.10071","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":"2026-05-18T00:27:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QTyTJ/wWbyptjhFL3hKO5rjG0sc1z4t2HMIgAgba6S0bu5FCt/B8lVXyBwVIvp80RnKreMeAxQStRmsYbpBEBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T07:54:23.562713Z"},"content_sha256":"d78f97004f688be29f493264f04a7fdf16eddc3bb06b6b5c1e38fc7975c2c5ea","schema_version":"1.0","event_id":"sha256:d78f97004f688be29f493264f04a7fdf16eddc3bb06b6b5c1e38fc7975c2c5ea"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:6IZTKIB6GQAHX6SFBITCVKXA3G","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Analytic all-plus-helicity gluon amplitudes in QCD","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"David C. Dunbar, Guy R. Jehu, John H. Godwin, Warren B. Perkins","submitted_at":"2017-10-27T10:53:53Z","abstract_excerpt":"We detail the calculation of two-loop all-plus helicity amplitudes for pure Yang-Mills theory. The four dimensional unitarity methods and augmented recursion techniques we have developed, together with a knowledge of the singular structure of the amplitudes allow us to compute these in compact analytic forms. Specifically we present the computation and analytic results for the six- and seven-gluon leading colour two-loop amplitudes these being the first QCD two-loop amplitudes beyond five-points."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.10071","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":"2026-05-18T00:27:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0VeYnfsuvpaIbG0lT8iCqImDvu7S7FXWHZP27Yk+AthL8lBIWgdKaYoW1ckY3JUCv0yjhMiyGtrEeb+RHJuvBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T07:54:23.563159Z"},"content_sha256":"bba7fc834464f1e5287172ab40964654f270a5ceadaae4562fc7120b36d73d53","schema_version":"1.0","event_id":"sha256:bba7fc834464f1e5287172ab40964654f270a5ceadaae4562fc7120b36d73d53"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6IZTKIB6GQAHX6SFBITCVKXA3G/bundle.json","state_url":"https://pith.science/pith/6IZTKIB6GQAHX6SFBITCVKXA3G/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6IZTKIB6GQAHX6SFBITCVKXA3G/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":"2026-06-10T07:54:23Z","links":{"resolver":"https://pith.science/pith/6IZTKIB6GQAHX6SFBITCVKXA3G","bundle":"https://pith.science/pith/6IZTKIB6GQAHX6SFBITCVKXA3G/bundle.json","state":"https://pith.science/pith/6IZTKIB6GQAHX6SFBITCVKXA3G/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6IZTKIB6GQAHX6SFBITCVKXA3G/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:6IZTKIB6GQAHX6SFBITCVKXA3G","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":"69803ab70ace0632c7b492f27087b94409bc5a65d07e0ca96e9929c98e6bd0f6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-10-27T10:53:53Z","title_canon_sha256":"975c393cb30e6044c8e7268552224786615273ac11e45379f3846233c51b25fe"},"schema_version":"1.0","source":{"id":"1710.10071","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.10071","created_at":"2026-05-18T00:27:12Z"},{"alias_kind":"arxiv_version","alias_value":"1710.10071v2","created_at":"2026-05-18T00:27:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.10071","created_at":"2026-05-18T00:27:12Z"},{"alias_kind":"pith_short_12","alias_value":"6IZTKIB6GQAH","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_16","alias_value":"6IZTKIB6GQAHX6SF","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_8","alias_value":"6IZTKIB6","created_at":"2026-05-18T12:31:03Z"}],"graph_snapshots":[{"event_id":"sha256:bba7fc834464f1e5287172ab40964654f270a5ceadaae4562fc7120b36d73d53","target":"graph","created_at":"2026-05-18T00:27:12Z","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 detail the calculation of two-loop all-plus helicity amplitudes for pure Yang-Mills theory. The four dimensional unitarity methods and augmented recursion techniques we have developed, together with a knowledge of the singular structure of the amplitudes allow us to compute these in compact analytic forms. Specifically we present the computation and analytic results for the six- and seven-gluon leading colour two-loop amplitudes these being the first QCD two-loop amplitudes beyond five-points.","authors_text":"David C. Dunbar, Guy R. Jehu, John H. Godwin, Warren B. Perkins","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-10-27T10:53:53Z","title":"Analytic all-plus-helicity gluon amplitudes in QCD"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.10071","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:d78f97004f688be29f493264f04a7fdf16eddc3bb06b6b5c1e38fc7975c2c5ea","target":"record","created_at":"2026-05-18T00:27:12Z","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":"69803ab70ace0632c7b492f27087b94409bc5a65d07e0ca96e9929c98e6bd0f6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-10-27T10:53:53Z","title_canon_sha256":"975c393cb30e6044c8e7268552224786615273ac11e45379f3846233c51b25fe"},"schema_version":"1.0","source":{"id":"1710.10071","kind":"arxiv","version":2}},"canonical_sha256":"f23335203e34007bfa450a262aaae0d986fb12a4656d4933fa2d09c367abf3c1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f23335203e34007bfa450a262aaae0d986fb12a4656d4933fa2d09c367abf3c1","first_computed_at":"2026-05-18T00:27:12.541872Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:27:12.541872Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9sKn+McMIzHp4GgHdKDeAQ01sPK9q/qVv4NIAVxP/caT9ilR82eYcwQ0YfhcHJ7ANiLuTl5Dh+0EI2iFXBBkCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:27:12.542445Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.10071","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d78f97004f688be29f493264f04a7fdf16eddc3bb06b6b5c1e38fc7975c2c5ea","sha256:bba7fc834464f1e5287172ab40964654f270a5ceadaae4562fc7120b36d73d53"],"state_sha256":"1d1fbae49bf1d6833cf67a088c564afd657365eb44ecb204105918d2ec38d0f0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U+LyOf8weDKynRCJRQgOwE5JhaXiVrwxJgFf87OtkcrY0juYvqXxjh7yQwjZh1u8aZKc/82DBvTGyC0Dd42pAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T07:54:23.565961Z","bundle_sha256":"32325b7d89f82b64d6f7f97a62b8e0fe367f9df43766c8779c4fd70b89a8b447"}}