{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:W5IGMZ6ZSMIJ5B6UYV4HFAYWFE","short_pith_number":"pith:W5IGMZ6Z","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"},"canonical_sha256":"b7506667d993109e87d4c578728316292b0d5df779027bca37ae6bf8cd74d009","source":{"kind":"arxiv","id":"1807.05921","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.05921","created_at":"2026-05-18T00:00:52Z"},{"alias_kind":"arxiv_version","alias_value":"1807.05921v2","created_at":"2026-05-18T00:00:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.05921","created_at":"2026-05-18T00:00:52Z"},{"alias_kind":"pith_short_12","alias_value":"W5IGMZ6ZSMIJ","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"W5IGMZ6ZSMIJ5B6U","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"W5IGMZ6Z","created_at":"2026-05-18T12:32:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:W5IGMZ6ZSMIJ5B6UYV4HFAYWFE","target":"record","payload":{"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"},"canonical_sha256":"b7506667d993109e87d4c578728316292b0d5df779027bca37ae6bf8cd74d009","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"},"source_kind":"arxiv","source_id":"1807.05921","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:00:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gMJZ0L6AOI8LFeaPWdZo4LFLv8ANQ8oy8hXmfDHrUQg77TOwbNdy7YsBTUWOlB22IxEQbFAdAZl9zzc0yp+pDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T02:55:20.597740Z"},"content_sha256":"31fcddcc001c26cdeb6eeb92994d61f9d62ef696f5053379a03f9c4688f39cde","schema_version":"1.0","event_id":"sha256:31fcddcc001c26cdeb6eeb92994d61f9d62ef696f5053379a03f9c4688f39cde"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:W5IGMZ6ZSMIJ5B6UYV4HFAYWFE","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:00:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p7PRUGnV+pRnUY2CnhwMPt1ld/tQzcMLElLa5SPohM34fxaQN1w5f0okuhVR1yqAykux9f9h3t/ufDK7DtmhDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T02:55:20.598315Z"},"content_sha256":"8e32f4fc55eb1eb78759f3768941312c7af226aa192ace767ba363064a934eee","schema_version":"1.0","event_id":"sha256:8e32f4fc55eb1eb78759f3768941312c7af226aa192ace767ba363064a934eee"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/W5IGMZ6ZSMIJ5B6UYV4HFAYWFE/bundle.json","state_url":"https://pith.science/pith/W5IGMZ6ZSMIJ5B6UYV4HFAYWFE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/W5IGMZ6ZSMIJ5B6UYV4HFAYWFE/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":"2026-08-17T02:55:20Z","links":{"resolver":"https://pith.science/pith/W5IGMZ6ZSMIJ5B6UYV4HFAYWFE","bundle":"https://pith.science/pith/W5IGMZ6ZSMIJ5B6UYV4HFAYWFE/bundle.json","state":"https://pith.science/pith/W5IGMZ6ZSMIJ5B6UYV4HFAYWFE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/W5IGMZ6ZSMIJ5B6UYV4HFAYWFE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:W5IGMZ6ZSMIJ5B6UYV4HFAYWFE","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":"09909539cb0d5168b746940ea96aec86b77ec0cabefca4d18f54cfb55453ebff","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-07-16T15:28:15Z","title_canon_sha256":"8de9a136c18de114d899a94ab254c2b617bc68c7d607a3e446f63bcd01b4d028"},"schema_version":"1.0","source":{"id":"1807.05921","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.05921","created_at":"2026-05-18T00:00:52Z"},{"alias_kind":"arxiv_version","alias_value":"1807.05921v2","created_at":"2026-05-18T00:00:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.05921","created_at":"2026-05-18T00:00:52Z"},{"alias_kind":"pith_short_12","alias_value":"W5IGMZ6ZSMIJ","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"W5IGMZ6ZSMIJ5B6U","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"W5IGMZ6Z","created_at":"2026-05-18T12:32:59Z"}],"graph_snapshots":[{"event_id":"sha256:8e32f4fc55eb1eb78759f3768941312c7af226aa192ace767ba363064a934eee","target":"graph","created_at":"2026-05-18T00:00:52Z","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":"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","authors_text":"Alastair Stewart, Paul Heslop","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-07-16T15:28:15Z","title":"The twistor Wilson loop and the amplituhedron"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.05921","kind":"arxiv","version":2},"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":"sha256:31fcddcc001c26cdeb6eeb92994d61f9d62ef696f5053379a03f9c4688f39cde","target":"record","created_at":"2026-05-18T00:00:52Z","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":"09909539cb0d5168b746940ea96aec86b77ec0cabefca4d18f54cfb55453ebff","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-07-16T15:28:15Z","title_canon_sha256":"8de9a136c18de114d899a94ab254c2b617bc68c7d607a3e446f63bcd01b4d028"},"schema_version":"1.0","source":{"id":"1807.05921","kind":"arxiv","version":2}},"canonical_sha256":"b7506667d993109e87d4c578728316292b0d5df779027bca37ae6bf8cd74d009","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b7506667d993109e87d4c578728316292b0d5df779027bca37ae6bf8cd74d009","first_computed_at":"2026-05-18T00:00:52.095684Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:00:52.095684Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6KqKYrdltGWTREbuA2H+mS7AE19nudFAoRxSkn8L5dp8kw68ZNL8TdDyib1S3NNvW0YvnD2COyVBMEnHuM95Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:00:52.096303Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.05921","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:31fcddcc001c26cdeb6eeb92994d61f9d62ef696f5053379a03f9c4688f39cde","sha256:8e32f4fc55eb1eb78759f3768941312c7af226aa192ace767ba363064a934eee"],"state_sha256":"938091220c787339fbd7b98b86c09e8bf5789bab257ff74a63b1a6f17aff7f29"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0t+4Owg6p195PU3OiJn8VJPV5U2/jxMQYEO1J9Q35eGqXlbCY55QccC6gAnOStEQpFtGGxgweMrjs3CaVfASBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-17T02:55:20.602195Z","bundle_sha256":"af1b9cef2ef33381bad48d4cd3ed4f914f27303dc80567e0904324594defcd83"}}