{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:WTKFIIHRDXXOLO6UAGUOMLCIZ2","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":"0ac20594d5fd0bab82b3c5888e34d7d84b580432b4ec03d6a61fd6adaa1fcf2a","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-06-29T07:51:31Z","title_canon_sha256":"711c498d6b05c402861f52749916ca4f87dd43c4106b47c164d0cd43449c7388"},"schema_version":"1.0","source":{"id":"2206.14445","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2206.14445","created_at":"2026-07-05T04:36:04Z"},{"alias_kind":"arxiv_version","alias_value":"2206.14445v1","created_at":"2026-07-05T04:36:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2206.14445","created_at":"2026-07-05T04:36:04Z"},{"alias_kind":"pith_short_12","alias_value":"WTKFIIHRDXXO","created_at":"2026-07-05T04:36:04Z"},{"alias_kind":"pith_short_16","alias_value":"WTKFIIHRDXXOLO6U","created_at":"2026-07-05T04:36:04Z"},{"alias_kind":"pith_short_8","alias_value":"WTKFIIHR","created_at":"2026-07-05T04:36:04Z"}],"graph_snapshots":[{"event_id":"sha256:ca60ee0a8308f8e09638333e6c6dfd5908d7f49400891a74973fccd07765ddea","target":"graph","created_at":"2026-07-05T04:36:04Z","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/2206.14445/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a calculation of the rational terms in two-loop all-plus gluon amplitudes using $D$-dimensional unitarity. We use a conjecture of separability of the two loops, and then a simple generalization of one-loop $D$-dimensional unitarity to perform calculations. We compute the four- and five-point rational terms analytically, and the six- and seven-point ones numerically. We find agreement with previous calculations of Dalgleish, Dunbar, Godwin, Jehu, Perkins, and Strong. For a special subleading-color amplitude, we compute the eight- and nine-point results numerically, and find agreement","authors_text":"David A. Kosower, Sebastian P\\\"ogel","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-06-29T07:51:31Z","title":"A Unitarity Approach to Two-Loop All-Plus Rational Terms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2206.14445","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":"sha256:55736b07af9edcc9ec4c4110c660ca98bd059e7eaa495f3308f3f779753c137c","target":"record","created_at":"2026-07-05T04:36:04Z","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":"0ac20594d5fd0bab82b3c5888e34d7d84b580432b4ec03d6a61fd6adaa1fcf2a","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-06-29T07:51:31Z","title_canon_sha256":"711c498d6b05c402861f52749916ca4f87dd43c4106b47c164d0cd43449c7388"},"schema_version":"1.0","source":{"id":"2206.14445","kind":"arxiv","version":1}},"canonical_sha256":"b4d45420f11deee5bbd401a8e62c48ceb06926c9af1fb544ea4fcb5828658045","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b4d45420f11deee5bbd401a8e62c48ceb06926c9af1fb544ea4fcb5828658045","first_computed_at":"2026-07-05T04:36:04.332872Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:36:04.332872Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MYnolLuEpLdgKjQLTwgK6ANuH8wWKpAtU2FUx+Yu5aK8GWDW56S5eKUHP3r8ZlVC+u8Sx9w5ClgMBnv1ATzEDg==","signature_status":"signed_v1","signed_at":"2026-07-05T04:36:04.333308Z","signed_message":"canonical_sha256_bytes"},"source_id":"2206.14445","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:55736b07af9edcc9ec4c4110c660ca98bd059e7eaa495f3308f3f779753c137c","sha256:ca60ee0a8308f8e09638333e6c6dfd5908d7f49400891a74973fccd07765ddea"],"state_sha256":"5c160a97e70c469f39ade3669b6d4d390c6525426950c2fbe904da62a883b0ca"}