{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:7J4I4UROCN7L2HJ6BECLAKWOHA","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":"bf3b2989911a36ab9b69e3c4a9128b240402fbadc05549545c7db83bec561b51","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-02-24T23:39:04Z","title_canon_sha256":"272f5e2baf0802cb8073617d904bfceb95300776f39342c9f1304db9e67d3ac1"},"schema_version":"1.0","source":{"id":"2202.12424","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2202.12424","created_at":"2026-07-05T04:17:39Z"},{"alias_kind":"arxiv_version","alias_value":"2202.12424v2","created_at":"2026-07-05T04:17:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2202.12424","created_at":"2026-07-05T04:17:39Z"},{"alias_kind":"pith_short_12","alias_value":"7J4I4UROCN7L","created_at":"2026-07-05T04:17:39Z"},{"alias_kind":"pith_short_16","alias_value":"7J4I4UROCN7L2HJ6","created_at":"2026-07-05T04:17:39Z"},{"alias_kind":"pith_short_8","alias_value":"7J4I4URO","created_at":"2026-07-05T04:17:39Z"}],"graph_snapshots":[{"event_id":"sha256:269894a2600f0a1162f7065714c782e9012d513252fe7a219929bcb0a8a7847f","target":"graph","created_at":"2026-07-05T04:17:39Z","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/2202.12424/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study $S_N$-invariant four-point functions with two generic multi-cycle fields and two twist-2 fields, at the free orbifold point of the D1-D5 CFT. We derive the explicit factorization of these functions following from the action of the symmetric group on the composite multi-cycle fields. Apart from non-trivial symmetry factors that we compute, the function with multi-cycle operators is reduced to a sum of connected correlators in which the composite fields have, at most, two cycles. The correlators with two double-cycle and two single-cycle fields give the leading order contribution in the","authors_text":"Andre Alves Lima, G. M. Sotkov, M. Stanishkov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-02-24T23:39:04Z","title":"Four-point functions with multi-cycle fields in symmetric orbifolds and the D1-D5 CFT"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2202.12424","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:d7b58d5ffaa3657eb52a4eb4fd06720f8edbc77cd8a3fb92f0b623b1bbec33d1","target":"record","created_at":"2026-07-05T04:17:39Z","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":"bf3b2989911a36ab9b69e3c4a9128b240402fbadc05549545c7db83bec561b51","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-02-24T23:39:04Z","title_canon_sha256":"272f5e2baf0802cb8073617d904bfceb95300776f39342c9f1304db9e67d3ac1"},"schema_version":"1.0","source":{"id":"2202.12424","kind":"arxiv","version":2}},"canonical_sha256":"fa788e522e137ebd1d3e0904b02ace3824dbc0509189986367f61ed14f2d0f54","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fa788e522e137ebd1d3e0904b02ace3824dbc0509189986367f61ed14f2d0f54","first_computed_at":"2026-07-05T04:17:39.445726Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:17:39.445726Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jsvmzBdYht+Mxe51DG2h31YnK5c5UjgN3azSmaq/9bO8Z3qO37OcpN0sw8abmSkb5kW5mXcI6yTpSwHPif1HCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T04:17:39.446208Z","signed_message":"canonical_sha256_bytes"},"source_id":"2202.12424","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d7b58d5ffaa3657eb52a4eb4fd06720f8edbc77cd8a3fb92f0b623b1bbec33d1","sha256:269894a2600f0a1162f7065714c782e9012d513252fe7a219929bcb0a8a7847f"],"state_sha256":"d030083702b44f8dcbf270fa0be922524a9257015ca8551989c19774bca1d344"}