{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:XDT5TGJC27WFII25GAIB7A53OZ","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":"30ba20c97d447200da785a3b8b298c8fc2e56c4e7a9132193cce61fdcf26fc1e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-04-11T08:39:46Z","title_canon_sha256":"78208954efcffb62921ad6b44ede25784a9db755896ad7d5956402db0e284fda"},"schema_version":"1.0","source":{"id":"1604.02834","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.02834","created_at":"2026-05-18T01:11:04Z"},{"alias_kind":"arxiv_version","alias_value":"1604.02834v2","created_at":"2026-05-18T01:11:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.02834","created_at":"2026-05-18T01:11:04Z"},{"alias_kind":"pith_short_12","alias_value":"XDT5TGJC27WF","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"XDT5TGJC27WFII25","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"XDT5TGJC","created_at":"2026-05-18T12:30:51Z"}],"graph_snapshots":[{"event_id":"sha256:ad4c05aae5a6995d3519c21bd56dcd3db18f120f069ac558d1e81474207da9b0","target":"graph","created_at":"2026-05-18T01:11:04Z","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"},"paper":{"abstract_excerpt":"We study scattering equations and formulas for tree amplitudes of various theories in four dimensions, in terms of spinor helicity variables and on-shell superspace for supersymmetric theories. As originally obtained in Witten's twistor string theory and other twistor-string models, the equations can take either polynomial or rational forms, and we clarify the simple relation between them. We present new, four-dimensional formulas for all tree amplitudes in the non-linear sigma model, a special Galileon theory and the maximally supersymmetric completion of the Dirac-Born-Infeld theory. Further","authors_text":"Jun-Bao Wu, Song He, Zhengwen Liu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-04-11T08:39:46Z","title":"Scattering Equations, Twistor-string Formulas and Double-soft Limits in Four Dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.02834","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:c6c2eeef3f26cafc35a23ece8753caad54e007f1a76725aeb9d9bde7b0b9e43d","target":"record","created_at":"2026-05-18T01:11:04Z","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":"30ba20c97d447200da785a3b8b298c8fc2e56c4e7a9132193cce61fdcf26fc1e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-04-11T08:39:46Z","title_canon_sha256":"78208954efcffb62921ad6b44ede25784a9db755896ad7d5956402db0e284fda"},"schema_version":"1.0","source":{"id":"1604.02834","kind":"arxiv","version":2}},"canonical_sha256":"b8e7d99922d7ec54235d30101f83bb76436a382fd8f6e867bb3bb60e3518348c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b8e7d99922d7ec54235d30101f83bb76436a382fd8f6e867bb3bb60e3518348c","first_computed_at":"2026-05-18T01:11:04.793659Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:04.793659Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BqlWYleTfc/b0rKy95UkiyVf3O6qrWzDbfkX88gyrGX6Hy/Qvge+M6buIZ0IBFNIdKgOoNyvtRaz+Y/DVZX1DA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:04.794112Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.02834","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c6c2eeef3f26cafc35a23ece8753caad54e007f1a76725aeb9d9bde7b0b9e43d","sha256:ad4c05aae5a6995d3519c21bd56dcd3db18f120f069ac558d1e81474207da9b0"],"state_sha256":"b93f39eb7235f19b7fc4d956868ab0ec6c4999c61648973c1b642a7733c15c75"}