{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:HQ3PJBHRVIWZ74BIANNLGTLBXP","short_pith_number":"pith:HQ3PJBHR","schema_version":"1.0","canonical_sha256":"3c36f484f1aa2d9ff028035ab34d61bbcf39e59791a3696516a6bbd8791b3ce0","source":{"kind":"arxiv","id":"0909.0483","version":1},"attestation_state":"computed","paper":{"title":"The Grassmannian Origin Of Dual Superconformal Invariance","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Clifford Cheung, Freddy Cachazo, Nima Arkani-Hamed","submitted_at":"2009-09-02T19:54:37Z","abstract_excerpt":"A dual formulation of the S Matrix for N=4 SYM has recently been presented, where all leading singularities of n-particle N^{k-2}MHV amplitudes are given as an integral over the Grassmannian G(k,n), with cyclic symmetry, parity and superconformal invariance manifest. In this short note we show that the dual superconformal invariance of this object is also manifest. The geometry naturally suggests a partial integration and simple change of variable to an integral over G(k-2,n). This change of variable precisely corresponds to the mapping between usual momentum variables and the \"momentum twisto"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"0909.0483","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-09-02T19:54:37Z","cross_cats_sorted":[],"title_canon_sha256":"b2ffa9fae63b2820ed3de74cf284f7d4433f769673a3bee5e6c2b9edc2d0b15a","abstract_canon_sha256":"8b57a861825f24fe14427cc85e85e0a121a6d4df06bf90b9d8ecf090041808fd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:12:00.677613Z","signature_b64":"wvFwDDzdzZE5dQzRDwWe70cePrc8HZOlFbvYtYRAC0Qil7hLplwVamWzUcGj/6Z8GXsModTEI9pSIAZgPV6+Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3c36f484f1aa2d9ff028035ab34d61bbcf39e59791a3696516a6bbd8791b3ce0","last_reissued_at":"2026-05-18T02:12:00.676679Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:12:00.676679Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Grassmannian Origin Of Dual Superconformal Invariance","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Clifford Cheung, Freddy Cachazo, Nima Arkani-Hamed","submitted_at":"2009-09-02T19:54:37Z","abstract_excerpt":"A dual formulation of the S Matrix for N=4 SYM has recently been presented, where all leading singularities of n-particle N^{k-2}MHV amplitudes are given as an integral over the Grassmannian G(k,n), with cyclic symmetry, parity and superconformal invariance manifest. In this short note we show that the dual superconformal invariance of this object is also manifest. The geometry naturally suggests a partial integration and simple change of variable to an integral over G(k-2,n). This change of variable precisely corresponds to the mapping between usual momentum variables and the \"momentum twisto"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0909.0483","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"0909.0483","created_at":"2026-05-18T02:12:00.676820+00:00"},{"alias_kind":"arxiv_version","alias_value":"0909.0483v1","created_at":"2026-05-18T02:12:00.676820+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0909.0483","created_at":"2026-05-18T02:12:00.676820+00:00"},{"alias_kind":"pith_short_12","alias_value":"HQ3PJBHRVIWZ","created_at":"2026-05-18T12:25:59.703012+00:00"},{"alias_kind":"pith_short_16","alias_value":"HQ3PJBHRVIWZ74BI","created_at":"2026-05-18T12:25:59.703012+00:00"},{"alias_kind":"pith_short_8","alias_value":"HQ3PJBHR","created_at":"2026-05-18T12:25:59.703012+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2601.21980","citing_title":"Loops and legs: ABJM amplitudes from $f$-graphs","ref_index":71,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/HQ3PJBHRVIWZ74BIANNLGTLBXP","json":"https://pith.science/pith/HQ3PJBHRVIWZ74BIANNLGTLBXP.json","graph_json":"https://pith.science/api/pith-number/HQ3PJBHRVIWZ74BIANNLGTLBXP/graph.json","events_json":"https://pith.science/api/pith-number/HQ3PJBHRVIWZ74BIANNLGTLBXP/events.json","paper":"https://pith.science/paper/HQ3PJBHR"},"agent_actions":{"view_html":"https://pith.science/pith/HQ3PJBHRVIWZ74BIANNLGTLBXP","download_json":"https://pith.science/pith/HQ3PJBHRVIWZ74BIANNLGTLBXP.json","view_paper":"https://pith.science/paper/HQ3PJBHR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0909.0483&json=true","fetch_graph":"https://pith.science/api/pith-number/HQ3PJBHRVIWZ74BIANNLGTLBXP/graph.json","fetch_events":"https://pith.science/api/pith-number/HQ3PJBHRVIWZ74BIANNLGTLBXP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HQ3PJBHRVIWZ74BIANNLGTLBXP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HQ3PJBHRVIWZ74BIANNLGTLBXP/action/storage_attestation","attest_author":"https://pith.science/pith/HQ3PJBHRVIWZ74BIANNLGTLBXP/action/author_attestation","sign_citation":"https://pith.science/pith/HQ3PJBHRVIWZ74BIANNLGTLBXP/action/citation_signature","submit_replication":"https://pith.science/pith/HQ3PJBHRVIWZ74BIANNLGTLBXP/action/replication_record"}},"created_at":"2026-05-18T02:12:00.676820+00:00","updated_at":"2026-05-18T02:12:00.676820+00:00"}