{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:7SLWTKUEQZ3MHOVNJYBIWD2PIQ","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":"ba6830756bab04e0b6f7df70ea8412cfb6be9903bb9b81796d1c88c12dda65a5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-10-12T15:13:59Z","title_canon_sha256":"32b3adc8ee1495abd7358fede9db47a30313d19d0e8cfa1fa6030e6dc15aff84"},"schema_version":"1.0","source":{"id":"1710.04558","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.04558","created_at":"2026-05-18T00:33:00Z"},{"alias_kind":"arxiv_version","alias_value":"1710.04558v1","created_at":"2026-05-18T00:33:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.04558","created_at":"2026-05-18T00:33:00Z"},{"alias_kind":"pith_short_12","alias_value":"7SLWTKUEQZ3M","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"7SLWTKUEQZ3MHOVN","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"7SLWTKUE","created_at":"2026-05-18T12:31:05Z"}],"graph_snapshots":[{"event_id":"sha256:7b3afe21936eb9f93b60c9a803f6d504880e90fa105aeccfbbf89186d7ecb4e4","target":"graph","created_at":"2026-05-18T00:33:00Z","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":"The simplest integrands in the CHY formulation of scattering amplitudes are constructed using the so-called Parke-Taylor functions. Parke-Taylor functions also turn out to belong to a large class of rational functions known as MHV leading singularities. In fact, Parke-Taylor functions correspond to planar MHV leading singularities. In this note we study the behavior of CHY integrands constructed using non-planar MHV leading singularities under collinear and multi-particle factorization limits. General $n$-particle MHV leading singularities are completely characterized by a set of $(n-2)$ tripl","authors_text":"Freddy Cachazo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-10-12T15:13:59Z","title":"Combinatorial Factorization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.04558","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":"sha256:88e72b6d08a0e3bbbd10f003c6118b709a38638b18163b585f6d1609b97a0305","target":"record","created_at":"2026-05-18T00:33:00Z","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":"ba6830756bab04e0b6f7df70ea8412cfb6be9903bb9b81796d1c88c12dda65a5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-10-12T15:13:59Z","title_canon_sha256":"32b3adc8ee1495abd7358fede9db47a30313d19d0e8cfa1fa6030e6dc15aff84"},"schema_version":"1.0","source":{"id":"1710.04558","kind":"arxiv","version":1}},"canonical_sha256":"fc9769aa848676c3baad4e028b0f4f4415cb7d075fdd1909ffa083ae507feec2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fc9769aa848676c3baad4e028b0f4f4415cb7d075fdd1909ffa083ae507feec2","first_computed_at":"2026-05-18T00:33:00.675446Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:33:00.675446Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CoJKrBjk4jHq9kJ9Ub8lcZHZy3REnvJZ7u8GXtyd6Ld8sPaPJwpuf/qOEGMy/Hh+YiJyH82sDUyXwDdDBodOAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:33:00.676011Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.04558","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:88e72b6d08a0e3bbbd10f003c6118b709a38638b18163b585f6d1609b97a0305","sha256:7b3afe21936eb9f93b60c9a803f6d504880e90fa105aeccfbbf89186d7ecb4e4"],"state_sha256":"4b0c5c3048259ad5fc82eb95458fb2ae59d0f4878e8cfbe9aa7cd4d34336ea9a"}