{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:MOA4QKIAOUCWBEIN7BYPHT6NCQ","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":"d11e783704b44737a4de1d1bb8c278cb5177092ec9df3bf370de3d5fa757c3b1","cross_cats_sorted":["hep-ph"],"license":"","primary_cat":"hep-th","submitted_at":"2004-12-10T17:41:09Z","title_canon_sha256":"41775c2c72e96b0f0feb8944bdf2d9a21f274fbe2eb3731fd0301c3e35859d7a"},"schema_version":"1.0","source":{"id":"hep-th/0412108","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0412108","created_at":"2026-05-18T04:33:27Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0412108v2","created_at":"2026-05-18T04:33:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0412108","created_at":"2026-05-18T04:33:27Z"},{"alias_kind":"pith_short_12","alias_value":"MOA4QKIAOUCW","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"MOA4QKIAOUCWBEIN","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"MOA4QKIA","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:0ebd04e28bcf15569ee32e19ed6fc79666f2877dda33b0593fffd6a837a060f5","target":"graph","created_at":"2026-05-18T04:33:27Z","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 show how the MHV diagram description of Yang-Mills theories can be used to study non-supersymmetric loop amplitudes. In particular, we derive a compact expression for the cut-constructible part of the general one-loop MHV multi-gluon scattering amplitude in pure Yang-Mills theory. We show that in special cases this expression reduces to known amplitudes - the amplitude with adjacent negative-helicity gluons, and the five gluon non-adjacent amplitude. Finally, we briefly discuss the twistor space interpretation of our result.","authors_text":"Andreas Brandhuber, Bill Spence, Gabriele Travaglini, James Bedford","cross_cats":["hep-ph"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2004-12-10T17:41:09Z","title":"Non-Supersymmetric Loop Amplitudes and MHV Vertices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0412108","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":"sha256:2ec97945e54f12414ab78c8c47c646d29f911d6c36a109bd7645eea0a89cf72d","target":"record","created_at":"2026-05-18T04:33:27Z","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":"d11e783704b44737a4de1d1bb8c278cb5177092ec9df3bf370de3d5fa757c3b1","cross_cats_sorted":["hep-ph"],"license":"","primary_cat":"hep-th","submitted_at":"2004-12-10T17:41:09Z","title_canon_sha256":"41775c2c72e96b0f0feb8944bdf2d9a21f274fbe2eb3731fd0301c3e35859d7a"},"schema_version":"1.0","source":{"id":"hep-th/0412108","kind":"arxiv","version":2}},"canonical_sha256":"6381c82900750560910df870f3cfcd141cfe43765a45e36cd81ff311215d92e8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6381c82900750560910df870f3cfcd141cfe43765a45e36cd81ff311215d92e8","first_computed_at":"2026-05-18T04:33:27.539967Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:33:27.539967Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZoqxhqngT2P+4vb15A2bKQzbbFJocHDHY6tqGN2g3H/JQUHtYn4iDOiXq5NiTtWEndbGL+5FFZhoyHJsNJ39Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:33:27.540425Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0412108","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2ec97945e54f12414ab78c8c47c646d29f911d6c36a109bd7645eea0a89cf72d","sha256:0ebd04e28bcf15569ee32e19ed6fc79666f2877dda33b0593fffd6a837a060f5"],"state_sha256":"2132f28448a92ee006a7f4175b7885fbf2c9a50363057f44a313fff7cd5d9723"}