{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:XUXJFH2MM252LLM272IIN6KPRI","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":"f89074351f47456b59ae1617e15b3d04669110cdd04ab5a3caa460bc40e0790a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-05-20T20:00:00Z","title_canon_sha256":"e05aa9d40a0b4834452d56e18b3ff55c50d444afb67924b8c26e1259e5574303"},"schema_version":"1.0","source":{"id":"1605.06501","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.06501","created_at":"2026-05-18T00:54:36Z"},{"alias_kind":"arxiv_version","alias_value":"1605.06501v2","created_at":"2026-05-18T00:54:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.06501","created_at":"2026-05-18T00:54:36Z"},{"alias_kind":"pith_short_12","alias_value":"XUXJFH2MM252","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"XUXJFH2MM252LLM2","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"XUXJFH2M","created_at":"2026-05-18T12:30:51Z"}],"graph_snapshots":[{"event_id":"sha256:edfe29755f361405b3eb9c313611bd0f993d2690f5d0c8ecfdb5a887d8a4e583","target":"graph","created_at":"2026-05-18T00:54:36Z","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":"Scattering amplitudes in Yang-Mills theory can be represented in the formalism of Cachazo, He and Yuan (CHY) as integrals over an auxiliary projective space---fully localized on the support of the scattering equations. Because solving the scattering equations is difficult and summing over the solutions algebraically complex, a method of directly integrating the terms that appear in this representation has long been sought. We solve this important open problem by first rewriting the terms in a manifestly Mobius-invariant form and then using monodromy relations (inspired by analogy to string the","authors_text":"Bo Feng, Jacob L. Bourjaily, N. E. J. Bjerrum-Bohr, Poul H. Damgaard","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-05-20T20:00:00Z","title":"Analytic Representations of Yang-Mills Amplitudes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.06501","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":"sha256:57d3982b8a64255d38aba532c16f28235ed6756fb1f6d660b7e4c20a67a9b5a2","target":"record","created_at":"2026-05-18T00:54:36Z","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":"f89074351f47456b59ae1617e15b3d04669110cdd04ab5a3caa460bc40e0790a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-05-20T20:00:00Z","title_canon_sha256":"e05aa9d40a0b4834452d56e18b3ff55c50d444afb67924b8c26e1259e5574303"},"schema_version":"1.0","source":{"id":"1605.06501","kind":"arxiv","version":2}},"canonical_sha256":"bd2e929f4c66bba5ad9afe9086f94f8a003cf81bde606b857dfc909188c30cb0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bd2e929f4c66bba5ad9afe9086f94f8a003cf81bde606b857dfc909188c30cb0","first_computed_at":"2026-05-18T00:54:36.452732Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:54:36.452732Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"chAHjy2V7F8axYu1vzRG8pMiGvBSjsRaaaGJAregghGWNKbYUjApZatU7RyJc0qqTR3+fDLE+ZSa5JFT3UoVCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:54:36.453284Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.06501","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:57d3982b8a64255d38aba532c16f28235ed6756fb1f6d660b7e4c20a67a9b5a2","sha256:edfe29755f361405b3eb9c313611bd0f993d2690f5d0c8ecfdb5a887d8a4e583"],"state_sha256":"61bc37dcde13ef1f35f56e7a6a59796f81e90c73cdebb17ae26e73397134c852"}