{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:W5IGMZ6ZSMIJ5B6UYV4HFAYWFE","short_pith_number":"pith:W5IGMZ6Z","schema_version":"1.0","canonical_sha256":"b7506667d993109e87d4c578728316292b0d5df779027bca37ae6bf8cd74d009","source":{"kind":"arxiv","id":"1807.05921","version":2},"attestation_state":"computed","paper":{"title":"The twistor Wilson loop and the amplituhedron","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Alastair Stewart, Paul Heslop","submitted_at":"2018-07-16T15:28:15Z","abstract_excerpt":"The amplituhedron provides a beautiful description of perturbative superamplitude integrands in N=4 SYM in terms of purely geometric objects, generalisations of polytopes. On the other hand the Wilson loop in supertwistor space also gives an explicit description of these superamplitudes as a sum of planar Feynman diagrams. Each Feynman diagram can be naturally associated with a geometrical object in the same space as the amplituhedron (although not uniquely). This suggests that these geometric images of the Feynman diagrams give a tessellation of the amplituhedron. This turns out to be the cas"},"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":"1807.05921","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-07-16T15:28:15Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"8de9a136c18de114d899a94ab254c2b617bc68c7d607a3e446f63bcd01b4d028","abstract_canon_sha256":"09909539cb0d5168b746940ea96aec86b77ec0cabefca4d18f54cfb55453ebff"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:00:52.096303Z","signature_b64":"6KqKYrdltGWTREbuA2H+mS7AE19nudFAoRxSkn8L5dp8kw68ZNL8TdDyib1S3NNvW0YvnD2COyVBMEnHuM95Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b7506667d993109e87d4c578728316292b0d5df779027bca37ae6bf8cd74d009","last_reissued_at":"2026-05-18T00:00:52.095684Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:00:52.095684Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The twistor Wilson loop and the amplituhedron","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Alastair Stewart, Paul Heslop","submitted_at":"2018-07-16T15:28:15Z","abstract_excerpt":"The amplituhedron provides a beautiful description of perturbative superamplitude integrands in N=4 SYM in terms of purely geometric objects, generalisations of polytopes. On the other hand the Wilson loop in supertwistor space also gives an explicit description of these superamplitudes as a sum of planar Feynman diagrams. Each Feynman diagram can be naturally associated with a geometrical object in the same space as the amplituhedron (although not uniquely). This suggests that these geometric images of the Feynman diagrams give a tessellation of the amplituhedron. This turns out to be the cas"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.05921","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":"1807.05921","created_at":"2026-05-18T00:00:52.095781+00:00"},{"alias_kind":"arxiv_version","alias_value":"1807.05921v2","created_at":"2026-05-18T00:00:52.095781+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.05921","created_at":"2026-05-18T00:00:52.095781+00:00"},{"alias_kind":"pith_short_12","alias_value":"W5IGMZ6ZSMIJ","created_at":"2026-05-18T12:32:59.047623+00:00"},{"alias_kind":"pith_short_16","alias_value":"W5IGMZ6ZSMIJ5B6U","created_at":"2026-05-18T12:32:59.047623+00:00"},{"alias_kind":"pith_short_8","alias_value":"W5IGMZ6Z","created_at":"2026-05-18T12:32:59.047623+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1908.10919","citing_title":"Combinatorics of the geometry of Wilson loop diagrams I: equivalence classes via matroids and polytopes","ref_index":15,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/W5IGMZ6ZSMIJ5B6UYV4HFAYWFE","json":"https://pith.science/pith/W5IGMZ6ZSMIJ5B6UYV4HFAYWFE.json","graph_json":"https://pith.science/api/pith-number/W5IGMZ6ZSMIJ5B6UYV4HFAYWFE/graph.json","events_json":"https://pith.science/api/pith-number/W5IGMZ6ZSMIJ5B6UYV4HFAYWFE/events.json","paper":"https://pith.science/paper/W5IGMZ6Z"},"agent_actions":{"view_html":"https://pith.science/pith/W5IGMZ6ZSMIJ5B6UYV4HFAYWFE","download_json":"https://pith.science/pith/W5IGMZ6ZSMIJ5B6UYV4HFAYWFE.json","view_paper":"https://pith.science/paper/W5IGMZ6Z","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1807.05921&json=true","fetch_graph":"https://pith.science/api/pith-number/W5IGMZ6ZSMIJ5B6UYV4HFAYWFE/graph.json","fetch_events":"https://pith.science/api/pith-number/W5IGMZ6ZSMIJ5B6UYV4HFAYWFE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/W5IGMZ6ZSMIJ5B6UYV4HFAYWFE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/W5IGMZ6ZSMIJ5B6UYV4HFAYWFE/action/storage_attestation","attest_author":"https://pith.science/pith/W5IGMZ6ZSMIJ5B6UYV4HFAYWFE/action/author_attestation","sign_citation":"https://pith.science/pith/W5IGMZ6ZSMIJ5B6UYV4HFAYWFE/action/citation_signature","submit_replication":"https://pith.science/pith/W5IGMZ6ZSMIJ5B6UYV4HFAYWFE/action/replication_record"}},"created_at":"2026-05-18T00:00:52.095781+00:00","updated_at":"2026-05-18T00:00:52.095781+00:00"}