{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:R7VRINJU5VQTUGKQHNU5MHJ7LK","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":"b4f72db579403ffb7aba657f9a4c9f912dfe6365db6051a94a599fd020916f64","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2022-10-10T18:00:10Z","title_canon_sha256":"a6ab213ddd376fd33b49fe9e3a00067af45ca91ce0ce1a1440fe7741489616ae"},"schema_version":"1.0","source":{"id":"2210.04923","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.04923","created_at":"2026-07-05T05:18:50Z"},{"alias_kind":"arxiv_version","alias_value":"2210.04923v2","created_at":"2026-07-05T05:18:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.04923","created_at":"2026-07-05T05:18:50Z"},{"alias_kind":"pith_short_12","alias_value":"R7VRINJU5VQT","created_at":"2026-07-05T05:18:50Z"},{"alias_kind":"pith_short_16","alias_value":"R7VRINJU5VQTUGKQ","created_at":"2026-07-05T05:18:50Z"},{"alias_kind":"pith_short_8","alias_value":"R7VRINJU","created_at":"2026-07-05T05:18:50Z"}],"graph_snapshots":[{"event_id":"sha256:04df6c8c11154842df0977ef7d247cb56a2a2b8d3b004a2e80e32347605b5a16","target":"graph","created_at":"2026-07-05T05:18:50Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2210.04923/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose a new framework for computing three-point functions in planar $\\mathcal{N}=4$ super Yang-Mills where these correlators take the form of multiple integrals of Separation of Variables type. We test this formalism at weak coupling at leading and next-to-leading orders in a non-compact SL(2) sector of the theory and all the way to next-to-next-to-leading orders for a compact SU(2) sector. We find evidence that wrapping effects can also be incorporated.","authors_text":"Alexandre Homrich, Carlos Bercini, Pedro Vieira","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2022-10-10T18:00:10Z","title":"Structure Constants in $\\mathcal{N} = 4$ SYM and Separation of Variables"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.04923","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:d8bd72b86e7b04510b3fb8dde57eed1e5c3fe3c5761a0e2de3f041b6c1ff5abf","target":"record","created_at":"2026-07-05T05:18:50Z","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":"b4f72db579403ffb7aba657f9a4c9f912dfe6365db6051a94a599fd020916f64","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2022-10-10T18:00:10Z","title_canon_sha256":"a6ab213ddd376fd33b49fe9e3a00067af45ca91ce0ce1a1440fe7741489616ae"},"schema_version":"1.0","source":{"id":"2210.04923","kind":"arxiv","version":2}},"canonical_sha256":"8feb143534ed613a19503b69d61d3f5ab62d4090adc8396b8d9ae5d979749bf9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8feb143534ed613a19503b69d61d3f5ab62d4090adc8396b8d9ae5d979749bf9","first_computed_at":"2026-07-05T05:18:50.085602Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:18:50.085602Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bS9J4tKorfkfURlfNjiUSVtQ7rzaa1rJ3MJ63ExEYpUeKneOp0wu9AfSl1E5DNQURc9ymKDe4zapwCsQ0ftkAA==","signature_status":"signed_v1","signed_at":"2026-07-05T05:18:50.086002Z","signed_message":"canonical_sha256_bytes"},"source_id":"2210.04923","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d8bd72b86e7b04510b3fb8dde57eed1e5c3fe3c5761a0e2de3f041b6c1ff5abf","sha256:04df6c8c11154842df0977ef7d247cb56a2a2b8d3b004a2e80e32347605b5a16"],"state_sha256":"46dfeb24a02dfeeaa545183097be63cb6fc58a033cb4f99673a2a83e762f41ce"}