{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:VY5FVXKBG2JKS6FS5YW36KXUMB","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":"29167422ee6dc59654d986442383002551ced2f13d59bd150fdf0e8aa428efbf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-02-27T06:23:20Z","title_canon_sha256":"d28f3ce42839c2b6290621498be903db06fcba117b0d7b5c30e48cd6b9ad5e8d"},"schema_version":"1.0","source":{"id":"1702.08158","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.08158","created_at":"2026-05-18T00:33:32Z"},{"alias_kind":"arxiv_version","alias_value":"1702.08158v3","created_at":"2026-05-18T00:33:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.08158","created_at":"2026-05-18T00:33:32Z"},{"alias_kind":"pith_short_12","alias_value":"VY5FVXKBG2JK","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"VY5FVXKBG2JKS6FS","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"VY5FVXKB","created_at":"2026-05-18T12:31:49Z"}],"graph_snapshots":[{"event_id":"sha256:982f22a00ffd0850b8e61c8cb42b139472d7b6bfc7a5c9e3308ef3d20efd0124","target":"graph","created_at":"2026-05-18T00:33:32Z","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":"In this paper, we provide a thorough study on the expansion of single trace Einstein-Yang-Mills amplitudes into linear combination of color-ordered Yang-Mills amplitudes, from various different perspectives. Using the gauge invariance principle, we propose a recursive construction, where EYM amplitude with any number of gravitons could be expanded into EYM amplitudes with less number of gravitons. Through this construction, we can write down the complete expansion of EYM amplitude in the basis of color-ordered Yang-Mills amplitudes. As a byproduct, we are able to write down the polynomial form","authors_text":"Bo Feng, Chih-Hao Fu, Rijun Huang, Yi-Jian Du","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-02-27T06:23:20Z","title":"Expansion of Einstein-Yang-Mills Amplitude"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.08158","kind":"arxiv","version":3},"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":"sha256:7cf24ac7ba9bc22967868068e87bb39a473bae3fae398fb7155c0397e4a0d8b5","target":"record","created_at":"2026-05-18T00:33:32Z","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":"29167422ee6dc59654d986442383002551ced2f13d59bd150fdf0e8aa428efbf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-02-27T06:23:20Z","title_canon_sha256":"d28f3ce42839c2b6290621498be903db06fcba117b0d7b5c30e48cd6b9ad5e8d"},"schema_version":"1.0","source":{"id":"1702.08158","kind":"arxiv","version":3}},"canonical_sha256":"ae3a5add413692a978b2ee2dbf2af460748197be136b2a473f90b1dab78ef40a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ae3a5add413692a978b2ee2dbf2af460748197be136b2a473f90b1dab78ef40a","first_computed_at":"2026-05-18T00:33:32.232294Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:33:32.232294Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8JZySlleHIRI4S4GMgXKjFD/83x9gbR7KJFhMRaz4xaomeUD7mNxRcOQYERIHnWLFrPAdF1VoGwRcmpAxR5VCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:33:32.232761Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.08158","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7cf24ac7ba9bc22967868068e87bb39a473bae3fae398fb7155c0397e4a0d8b5","sha256:982f22a00ffd0850b8e61c8cb42b139472d7b6bfc7a5c9e3308ef3d20efd0124"],"state_sha256":"202774dca776fe6269aef0cde75613a3905d8c4476241111e2598a5c83a70968"}