{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:ZRQWULEPIANJ4JDNUMPNTPUVHD","short_pith_number":"pith:ZRQWULEP","schema_version":"1.0","canonical_sha256":"cc616a2c8f401a9e246da31ed9be9538ea90767f0d9368c6a530fe6b3116ccd8","source":{"kind":"arxiv","id":"1807.11051","version":2},"attestation_state":"computed","paper":{"title":"Notes on Scattering Amplitudes as Differential Forms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Chi Zhang, Song He","submitted_at":"2018-07-29T13:23:40Z","abstract_excerpt":"Inspired by the idea of viewing amplitudes in ${\\cal N}=4$ SYM as differential forms on momentum twistor space, we introduce differential forms on the space of spinor variables, which combine helicity amplitudes in any four-dimensional gauge theory as a single object. In this note we focus on such differential forms in ${\\cal N}=4$ SYM, which can also be thought of as \"bosonizing\" superamplitudes in non-chiral superspace. Remarkably all tree-level amplitudes in ${\\cal N}=4$ SYM combine to a $d\\log$ form in spinor variables, which is given by pushforward of canonical forms of Grassmannian cells"},"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":"1807.11051","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-07-29T13:23:40Z","cross_cats_sorted":[],"title_canon_sha256":"fb2dcdac518aec26040c6d7f4497e9dbe9cc8c1d30345e33645121618f9c7716","abstract_canon_sha256":"16fefab6ccf626093700c6f2fcea5ab5d2b6e796af54f4471ae0cdbf38a6fe3b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:00:51.565100Z","signature_b64":"KMfcBdCKRvTA82cvM3umQ6YLVHspvWMbkyPfeDey5bVSTdZTc9eYfMJp1ecNm4JoauykhsG0j1CJZA8RwGzQCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cc616a2c8f401a9e246da31ed9be9538ea90767f0d9368c6a530fe6b3116ccd8","last_reissued_at":"2026-05-18T00:00:51.564514Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:00:51.564514Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Notes on Scattering Amplitudes as Differential Forms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Chi Zhang, Song He","submitted_at":"2018-07-29T13:23:40Z","abstract_excerpt":"Inspired by the idea of viewing amplitudes in ${\\cal N}=4$ SYM as differential forms on momentum twistor space, we introduce differential forms on the space of spinor variables, which combine helicity amplitudes in any four-dimensional gauge theory as a single object. In this note we focus on such differential forms in ${\\cal N}=4$ SYM, which can also be thought of as \"bosonizing\" superamplitudes in non-chiral superspace. Remarkably all tree-level amplitudes in ${\\cal N}=4$ SYM combine to a $d\\log$ form in spinor variables, which is given by pushforward of canonical forms of Grassmannian cells"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.11051","kind":"arxiv","version":2},"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":"1807.11051","created_at":"2026-05-18T00:00:51.564619+00:00"},{"alias_kind":"arxiv_version","alias_value":"1807.11051v2","created_at":"2026-05-18T00:00:51.564619+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.11051","created_at":"2026-05-18T00:00:51.564619+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZRQWULEPIANJ","created_at":"2026-05-18T12:33:07.085635+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZRQWULEPIANJ4JDN","created_at":"2026-05-18T12:33:07.085635+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZRQWULEP","created_at":"2026-05-18T12:33:07.085635+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ZRQWULEPIANJ4JDNUMPNTPUVHD","json":"https://pith.science/pith/ZRQWULEPIANJ4JDNUMPNTPUVHD.json","graph_json":"https://pith.science/api/pith-number/ZRQWULEPIANJ4JDNUMPNTPUVHD/graph.json","events_json":"https://pith.science/api/pith-number/ZRQWULEPIANJ4JDNUMPNTPUVHD/events.json","paper":"https://pith.science/paper/ZRQWULEP"},"agent_actions":{"view_html":"https://pith.science/pith/ZRQWULEPIANJ4JDNUMPNTPUVHD","download_json":"https://pith.science/pith/ZRQWULEPIANJ4JDNUMPNTPUVHD.json","view_paper":"https://pith.science/paper/ZRQWULEP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1807.11051&json=true","fetch_graph":"https://pith.science/api/pith-number/ZRQWULEPIANJ4JDNUMPNTPUVHD/graph.json","fetch_events":"https://pith.science/api/pith-number/ZRQWULEPIANJ4JDNUMPNTPUVHD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZRQWULEPIANJ4JDNUMPNTPUVHD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZRQWULEPIANJ4JDNUMPNTPUVHD/action/storage_attestation","attest_author":"https://pith.science/pith/ZRQWULEPIANJ4JDNUMPNTPUVHD/action/author_attestation","sign_citation":"https://pith.science/pith/ZRQWULEPIANJ4JDNUMPNTPUVHD/action/citation_signature","submit_replication":"https://pith.science/pith/ZRQWULEPIANJ4JDNUMPNTPUVHD/action/replication_record"}},"created_at":"2026-05-18T00:00:51.564619+00:00","updated_at":"2026-05-18T00:00:51.564619+00:00"}