{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:WVNN6QNHQRPOJZFS2G6FVDXS3A","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":"f8f617d267e9eb9fa1d4be9c706b787cb2f1fdbca5ddc5a5f9eb2ad825efa86b","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2022-12-12T13:31:19Z","title_canon_sha256":"e208efb3e261f2ab1b95d755411934347622261f3f0901499dfbe1b870b766ce"},"schema_version":"1.0","source":{"id":"2212.05877","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2212.05877","created_at":"2026-07-05T05:53:08Z"},{"alias_kind":"arxiv_version","alias_value":"2212.05877v1","created_at":"2026-07-05T05:53:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2212.05877","created_at":"2026-07-05T05:53:08Z"},{"alias_kind":"pith_short_12","alias_value":"WVNN6QNHQRPO","created_at":"2026-07-05T05:53:08Z"},{"alias_kind":"pith_short_16","alias_value":"WVNN6QNHQRPOJZFS","created_at":"2026-07-05T05:53:08Z"},{"alias_kind":"pith_short_8","alias_value":"WVNN6QNH","created_at":"2026-07-05T05:53:08Z"}],"graph_snapshots":[{"event_id":"sha256:68b72b5d8ab7b8d1bcd5701dc56f59d86f1fb5885b997b23a9b86478616c80ed","target":"graph","created_at":"2026-07-05T05:53:08Z","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/2212.05877/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Correlation functions of the $\\text{SL}(2,\\mathbb{R})$-WZW model involving spectrally flowed vertex operators are notoriously difficult to compute. An explicit integral expression for the corresponding three-point functions was recently conjectured in [arXiv:2105.12130v2]. In this paper, we provide a proof for this conjecture. For this, we extend the methods of [arXiv:2208.00978] based on the so-called $\\text{SL}(2,\\mathbb{R})$ series identifications, which relate vertex operators belonging to different spectral flow sectors. We also highlight the role of holomorphic covering maps in this cont","authors_text":"Davide Bufalini, Nicolas Kovensky, Sergio Iguri","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2022-12-12T13:31:19Z","title":"A proof for string three-point functions in AdS$_3$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2212.05877","kind":"arxiv","version":1},"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:f4eff63dd4630925870d7f417735621f4dd4a14ebb87175fad177ad5def5ff55","target":"record","created_at":"2026-07-05T05:53:08Z","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":"f8f617d267e9eb9fa1d4be9c706b787cb2f1fdbca5ddc5a5f9eb2ad825efa86b","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2022-12-12T13:31:19Z","title_canon_sha256":"e208efb3e261f2ab1b95d755411934347622261f3f0901499dfbe1b870b766ce"},"schema_version":"1.0","source":{"id":"2212.05877","kind":"arxiv","version":1}},"canonical_sha256":"b55adf41a7845ee4e4b2d1bc5a8ef2d82c530bce40eb6bf32967c874322f11c2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b55adf41a7845ee4e4b2d1bc5a8ef2d82c530bce40eb6bf32967c874322f11c2","first_computed_at":"2026-07-05T05:53:08.807613Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:53:08.807613Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yxN4C2YwliTNJKuo23hTcZPrBUDSd+uSXLBsDLV7atcewpxoGMVpgGJkKJuz591duoFRcVOGI8tZiny4H3NcCA==","signature_status":"signed_v1","signed_at":"2026-07-05T05:53:08.808036Z","signed_message":"canonical_sha256_bytes"},"source_id":"2212.05877","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f4eff63dd4630925870d7f417735621f4dd4a14ebb87175fad177ad5def5ff55","sha256:68b72b5d8ab7b8d1bcd5701dc56f59d86f1fb5885b997b23a9b86478616c80ed"],"state_sha256":"540cd4abcfc68746a1e7673665e6328c9328935f491ce8c3dd5262f07b0b8f8c"}