{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:MAH327UR6QS4NH3ZQEJXWUBT4C","short_pith_number":"pith:MAH327UR","canonical_record":{"source":{"id":"1611.03242","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-10T10:24:57Z","cross_cats_sorted":[],"title_canon_sha256":"9e7ddc4a3aa449dd7e81c89fb31071bcf7245f1086492d5d01b42d9447d541f1","abstract_canon_sha256":"1318d3744a11e7a1cac8d68de9b6ef70177fe83f138c752e5f28dd860be0b8ee"},"schema_version":"1.0"},"canonical_sha256":"600fbd7e91f425c69f7981137b5033e0bca47c9413e43a82da5664ba103690aa","source":{"kind":"arxiv","id":"1611.03242","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.03242","created_at":"2026-05-18T00:59:40Z"},{"alias_kind":"arxiv_version","alias_value":"1611.03242v1","created_at":"2026-05-18T00:59:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.03242","created_at":"2026-05-18T00:59:40Z"},{"alias_kind":"pith_short_12","alias_value":"MAH327UR6QS4","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"MAH327UR6QS4NH3Z","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"MAH327UR","created_at":"2026-05-18T12:30:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:MAH327UR6QS4NH3ZQEJXWUBT4C","target":"record","payload":{"canonical_record":{"source":{"id":"1611.03242","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-10T10:24:57Z","cross_cats_sorted":[],"title_canon_sha256":"9e7ddc4a3aa449dd7e81c89fb31071bcf7245f1086492d5d01b42d9447d541f1","abstract_canon_sha256":"1318d3744a11e7a1cac8d68de9b6ef70177fe83f138c752e5f28dd860be0b8ee"},"schema_version":"1.0"},"canonical_sha256":"600fbd7e91f425c69f7981137b5033e0bca47c9413e43a82da5664ba103690aa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:59:40.869485Z","signature_b64":"CARmVVlxrrjqstAFUp4A0j08AdR5iusocwfPvGfKW58MtbeqqkQznErHE0BwdIorG87yv0jaJ0N3XcH9PrpHBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"600fbd7e91f425c69f7981137b5033e0bca47c9413e43a82da5664ba103690aa","last_reissued_at":"2026-05-18T00:59:40.868374Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:59:40.868374Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.03242","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:59:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CONF4l4+X9vLxvxMMZTZqR/urDHJQ9gOckoaxBuOkBuWAadePqWeVFVGwnjC2mlLVcsuVDLRxPJyAd/BvIS1DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T14:07:19.473344Z"},"content_sha256":"b4aaab5fa18470c83e07d27954bc329fe2079fdb9c41d1802af96a594913c1ab","schema_version":"1.0","event_id":"sha256:b4aaab5fa18470c83e07d27954bc329fe2079fdb9c41d1802af96a594913c1ab"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:MAH327UR6QS4NH3ZQEJXWUBT4C","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Correspondence between Solutions of Scattering Equations and Scattering Amplitudes in Four Dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Fei Teng, Yi-Jian Du, Yong-Shi Wu","submitted_at":"2016-11-10T10:24:57Z","abstract_excerpt":"In this talk, we review our recent work on direct evaluation of tree-level MHV amplitudes by Cachazo-He-Yuan (CHY) formula. We also investigate the correspondence between solutions to scattering equations and amplitudes in four dimensions along this line. By substituting the MHV solution of scattering equations into the integrated CHY formula, we explicitly calculate the tree-level MHV amplitudes for four dimensional Yang-Mills theory and gravity. These results naturally reproduce the Parke-Taylor and Hodges formulas. In addition, we derive a new compact formula for tree-level single-trace MHV"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.03242","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:59:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"stBdB+3IMLYj2LVTeANn8WOLWF6Xwe+vFUvXtRMiy7ojaZjaUVDFBYz+M4Y4js6fZb9kjrtL/nY/Gde8tSbeAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T14:07:19.474026Z"},"content_sha256":"013fcd132da464f1f5357f9b718ebf70cd7da16ded1e7e8b0684264813854ffe","schema_version":"1.0","event_id":"sha256:013fcd132da464f1f5357f9b718ebf70cd7da16ded1e7e8b0684264813854ffe"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MAH327UR6QS4NH3ZQEJXWUBT4C/bundle.json","state_url":"https://pith.science/pith/MAH327UR6QS4NH3ZQEJXWUBT4C/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MAH327UR6QS4NH3ZQEJXWUBT4C/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-10T14:07:19Z","links":{"resolver":"https://pith.science/pith/MAH327UR6QS4NH3ZQEJXWUBT4C","bundle":"https://pith.science/pith/MAH327UR6QS4NH3ZQEJXWUBT4C/bundle.json","state":"https://pith.science/pith/MAH327UR6QS4NH3ZQEJXWUBT4C/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MAH327UR6QS4NH3ZQEJXWUBT4C/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:MAH327UR6QS4NH3ZQEJXWUBT4C","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":"1318d3744a11e7a1cac8d68de9b6ef70177fe83f138c752e5f28dd860be0b8ee","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-10T10:24:57Z","title_canon_sha256":"9e7ddc4a3aa449dd7e81c89fb31071bcf7245f1086492d5d01b42d9447d541f1"},"schema_version":"1.0","source":{"id":"1611.03242","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.03242","created_at":"2026-05-18T00:59:40Z"},{"alias_kind":"arxiv_version","alias_value":"1611.03242v1","created_at":"2026-05-18T00:59:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.03242","created_at":"2026-05-18T00:59:40Z"},{"alias_kind":"pith_short_12","alias_value":"MAH327UR6QS4","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"MAH327UR6QS4NH3Z","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"MAH327UR","created_at":"2026-05-18T12:30:32Z"}],"graph_snapshots":[{"event_id":"sha256:013fcd132da464f1f5357f9b718ebf70cd7da16ded1e7e8b0684264813854ffe","target":"graph","created_at":"2026-05-18T00:59:40Z","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 talk, we review our recent work on direct evaluation of tree-level MHV amplitudes by Cachazo-He-Yuan (CHY) formula. We also investigate the correspondence between solutions to scattering equations and amplitudes in four dimensions along this line. By substituting the MHV solution of scattering equations into the integrated CHY formula, we explicitly calculate the tree-level MHV amplitudes for four dimensional Yang-Mills theory and gravity. These results naturally reproduce the Parke-Taylor and Hodges formulas. In addition, we derive a new compact formula for tree-level single-trace MHV","authors_text":"Fei Teng, Yi-Jian Du, Yong-Shi Wu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-10T10:24:57Z","title":"Correspondence between Solutions of Scattering Equations and Scattering Amplitudes in Four Dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.03242","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:b4aaab5fa18470c83e07d27954bc329fe2079fdb9c41d1802af96a594913c1ab","target":"record","created_at":"2026-05-18T00:59:40Z","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":"1318d3744a11e7a1cac8d68de9b6ef70177fe83f138c752e5f28dd860be0b8ee","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-10T10:24:57Z","title_canon_sha256":"9e7ddc4a3aa449dd7e81c89fb31071bcf7245f1086492d5d01b42d9447d541f1"},"schema_version":"1.0","source":{"id":"1611.03242","kind":"arxiv","version":1}},"canonical_sha256":"600fbd7e91f425c69f7981137b5033e0bca47c9413e43a82da5664ba103690aa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"600fbd7e91f425c69f7981137b5033e0bca47c9413e43a82da5664ba103690aa","first_computed_at":"2026-05-18T00:59:40.868374Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:59:40.868374Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CARmVVlxrrjqstAFUp4A0j08AdR5iusocwfPvGfKW58MtbeqqkQznErHE0BwdIorG87yv0jaJ0N3XcH9PrpHBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:59:40.869485Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.03242","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b4aaab5fa18470c83e07d27954bc329fe2079fdb9c41d1802af96a594913c1ab","sha256:013fcd132da464f1f5357f9b718ebf70cd7da16ded1e7e8b0684264813854ffe"],"state_sha256":"1ae7879bb678f2bbf46f0311c23230bf38d0768d98841c5f751cb92b1e3580e0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nTxloq7H2XkYtvA2gcDxN2W6NCRdTpMSBAGH65WLYrjVNnrqYtwXmEtvXuFUzrYvOVest1G4uvQaaQegSQKqAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T14:07:19.478033Z","bundle_sha256":"ad69eef774857414d4cee8df4b94a4174831cde5b28df3b0cac9be44c78006d7"}}