{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:RFI5BQQQJ555GSQWONUCBRQJKW","short_pith_number":"pith:RFI5BQQQ","canonical_record":{"source":{"id":"1002.4625","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-02-25T19:49:57Z","cross_cats_sorted":[],"title_canon_sha256":"7a8e56bfd8ceded0591d8720f97d375c043f1f64f59feb267c55dbe66c3c9a19","abstract_canon_sha256":"d025ce9d433cba382faca923f590145be2522fccafc88a9bcb126c348046d1d3"},"schema_version":"1.0"},"canonical_sha256":"8951d0c2104f7bd34a16736820c60955985fdeab74353d44c5bc733a35a566ac","source":{"kind":"arxiv","id":"1002.4625","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.4625","created_at":"2026-05-18T02:33:41Z"},{"alias_kind":"arxiv_version","alias_value":"1002.4625v2","created_at":"2026-05-18T02:33:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.4625","created_at":"2026-05-18T02:33:41Z"},{"alias_kind":"pith_short_12","alias_value":"RFI5BQQQJ555","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"RFI5BQQQJ555GSQW","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"RFI5BQQQ","created_at":"2026-05-18T12:26:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:RFI5BQQQJ555GSQWONUCBRQJKW","target":"record","payload":{"canonical_record":{"source":{"id":"1002.4625","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-02-25T19:49:57Z","cross_cats_sorted":[],"title_canon_sha256":"7a8e56bfd8ceded0591d8720f97d375c043f1f64f59feb267c55dbe66c3c9a19","abstract_canon_sha256":"d025ce9d433cba382faca923f590145be2522fccafc88a9bcb126c348046d1d3"},"schema_version":"1.0"},"canonical_sha256":"8951d0c2104f7bd34a16736820c60955985fdeab74353d44c5bc733a35a566ac","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:33:41.991005Z","signature_b64":"OJRFNleEyhirOXuNo8KOTm6KfrBEYZpb3O5cGHX8AFGa/1Wz7ABjHLmGJttxWkvkNSc1pl+VNPrS1IbRQM2lAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8951d0c2104f7bd34a16736820c60955985fdeab74353d44c5bc733a35a566ac","last_reissued_at":"2026-05-18T02:33:41.990619Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:33:41.990619Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1002.4625","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":"2026-05-18T02:33:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BE5VkQTwTLdHvxv+PdwXtzf2DEjD7uoSx6UGABSiMYZInyXCluO0omTBkigAYQaQHoFpmi6/HuuFThg/Y1oHBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T00:15:01.748825Z"},"content_sha256":"4571f8760aba96883eda1f48f02f09d0b46432c5eb3649a64f1ef9253506654b","schema_version":"1.0","event_id":"sha256:4571f8760aba96883eda1f48f02f09d0b46432c5eb3649a64f1ef9253506654b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:RFI5BQQQJ555GSQWONUCBRQJKW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Superconformal invariants for scattering amplitudes in N=4 SYM theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"E. Sokatchev, G.P. Korchemsky","submitted_at":"2010-02-25T19:49:57Z","abstract_excerpt":"Recent studies of scattering amplitudes in planar N=4 SYM theory revealed the existence of a hidden dual superconformal symmetry. Together with the conventional superconformal symmetry it gives rise to powerful restrictions on the planar scattering amplitudes to all loops. We study the general form of the invariants of both symmetries. We first construct an integral representation for the most general dual superconformal invariants and show that it allows a considerable freedom in the choice of the integration measure. We then perform a half-Fourier transform to twistor space, where convention"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.4625","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":"2026-05-18T02:33:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"blrl7BuvVw9HM7arbrtsbS09tyl4cd9L1sz9qYajubGpgBWki7nc9iuTTJuhGbdpCS6wDjYC98lL+WF08BukDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T00:15:01.749295Z"},"content_sha256":"9b8fa7391b091a32a27ecd445b39d767ef5116d5ad48eaaa611f955b32cc7ac1","schema_version":"1.0","event_id":"sha256:9b8fa7391b091a32a27ecd445b39d767ef5116d5ad48eaaa611f955b32cc7ac1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RFI5BQQQJ555GSQWONUCBRQJKW/bundle.json","state_url":"https://pith.science/pith/RFI5BQQQJ555GSQWONUCBRQJKW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RFI5BQQQJ555GSQWONUCBRQJKW/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":"2026-08-09T00:15:01Z","links":{"resolver":"https://pith.science/pith/RFI5BQQQJ555GSQWONUCBRQJKW","bundle":"https://pith.science/pith/RFI5BQQQJ555GSQWONUCBRQJKW/bundle.json","state":"https://pith.science/pith/RFI5BQQQJ555GSQWONUCBRQJKW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RFI5BQQQJ555GSQWONUCBRQJKW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:RFI5BQQQJ555GSQWONUCBRQJKW","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":"d025ce9d433cba382faca923f590145be2522fccafc88a9bcb126c348046d1d3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-02-25T19:49:57Z","title_canon_sha256":"7a8e56bfd8ceded0591d8720f97d375c043f1f64f59feb267c55dbe66c3c9a19"},"schema_version":"1.0","source":{"id":"1002.4625","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.4625","created_at":"2026-05-18T02:33:41Z"},{"alias_kind":"arxiv_version","alias_value":"1002.4625v2","created_at":"2026-05-18T02:33:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.4625","created_at":"2026-05-18T02:33:41Z"},{"alias_kind":"pith_short_12","alias_value":"RFI5BQQQJ555","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"RFI5BQQQJ555GSQW","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"RFI5BQQQ","created_at":"2026-05-18T12:26:13Z"}],"graph_snapshots":[{"event_id":"sha256:9b8fa7391b091a32a27ecd445b39d767ef5116d5ad48eaaa611f955b32cc7ac1","target":"graph","created_at":"2026-05-18T02:33:41Z","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":"Recent studies of scattering amplitudes in planar N=4 SYM theory revealed the existence of a hidden dual superconformal symmetry. Together with the conventional superconformal symmetry it gives rise to powerful restrictions on the planar scattering amplitudes to all loops. We study the general form of the invariants of both symmetries. We first construct an integral representation for the most general dual superconformal invariants and show that it allows a considerable freedom in the choice of the integration measure. We then perform a half-Fourier transform to twistor space, where convention","authors_text":"E. Sokatchev, G.P. Korchemsky","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-02-25T19:49:57Z","title":"Superconformal invariants for scattering amplitudes in N=4 SYM theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.4625","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":"sha256:4571f8760aba96883eda1f48f02f09d0b46432c5eb3649a64f1ef9253506654b","target":"record","created_at":"2026-05-18T02:33:41Z","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":"d025ce9d433cba382faca923f590145be2522fccafc88a9bcb126c348046d1d3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-02-25T19:49:57Z","title_canon_sha256":"7a8e56bfd8ceded0591d8720f97d375c043f1f64f59feb267c55dbe66c3c9a19"},"schema_version":"1.0","source":{"id":"1002.4625","kind":"arxiv","version":2}},"canonical_sha256":"8951d0c2104f7bd34a16736820c60955985fdeab74353d44c5bc733a35a566ac","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8951d0c2104f7bd34a16736820c60955985fdeab74353d44c5bc733a35a566ac","first_computed_at":"2026-05-18T02:33:41.990619Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:33:41.990619Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OJRFNleEyhirOXuNo8KOTm6KfrBEYZpb3O5cGHX8AFGa/1Wz7ABjHLmGJttxWkvkNSc1pl+VNPrS1IbRQM2lAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:33:41.991005Z","signed_message":"canonical_sha256_bytes"},"source_id":"1002.4625","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4571f8760aba96883eda1f48f02f09d0b46432c5eb3649a64f1ef9253506654b","sha256:9b8fa7391b091a32a27ecd445b39d767ef5116d5ad48eaaa611f955b32cc7ac1"],"state_sha256":"f9d22ef2136e01efcb2f39f438ee4f6ea87cd8ec32668119a21c1b9fe7a76079"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"542yFRRemQvFhp8AcET/gj2Xs9UgvWEdDeaWOhe/ZQGbTSkPwTuDODsIoMdH9sJFsN5iKh+H4MZnWvIEBHImBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T00:15:01.753409Z","bundle_sha256":"edb430e7415c1fc0d4347db36f4307d6a057b93d0e90a365cc9ee49045a2f1f6"}}