{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:BN2YAMAQTVE75U5EYDAMPTW3R3","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":"77cc22e8b075c11ad62e40aca1a522ff68337c937404026cdb38ad01cf30882d","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2002-06-03T19:13:57Z","title_canon_sha256":"9d512d244c1487f7bbeb78b989c9ca70e51e4330056f93cf81e3a62761faa044"},"schema_version":"1.0","source":{"id":"hep-th/0206005","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0206005","created_at":"2026-05-18T02:36:05Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0206005v3","created_at":"2026-05-18T02:36:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0206005","created_at":"2026-05-18T02:36:05Z"},{"alias_kind":"pith_short_12","alias_value":"BN2YAMAQTVE7","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"BN2YAMAQTVE75U5E","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"BN2YAMAQ","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:d906f81d783db1a8bcff81d022087495d5fe4daad76a92e06964b6d8563fa371","target":"graph","created_at":"2026-05-18T02:36:05Z","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":"Recently it has been proposed that the coefficient of the three-point function of the BMN operators in N=4 supersymmetric Yang-Mills theory is related to the three-string interactions in the pp-wave background. We calculate three-point functions of these operators to the first order in the effective Yang-Mills coupling lambda' = g_{YM}^2 N/J^2 in planar perturbation theory. On the string theory side, we derive the explicit expressions of the Neumann matrices to all orders in 1/(\\mu p^+ \\alpha')^2. This allows us to compute the corresponding three-string scattering amplitudes. This provides an ","authors_text":"Chong-Sun Chu, Gabriele Travaglini, Valentin V. Khoze","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2002-06-03T19:13:57Z","title":"Three-point functions in N=4 Yang-Mills theory and pp-waves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0206005","kind":"arxiv","version":3},"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":"sha256:1ff3b3fd438b9951d1adff8ad278adcc24d0e07262b46a0c0eb0c58c971dd70a","target":"record","created_at":"2026-05-18T02:36:05Z","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":"77cc22e8b075c11ad62e40aca1a522ff68337c937404026cdb38ad01cf30882d","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2002-06-03T19:13:57Z","title_canon_sha256":"9d512d244c1487f7bbeb78b989c9ca70e51e4330056f93cf81e3a62761faa044"},"schema_version":"1.0","source":{"id":"hep-th/0206005","kind":"arxiv","version":3}},"canonical_sha256":"0b758030109d49fed3a4c0c0c7cedb8eea32fe2606357f58a8273f95912a94d5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0b758030109d49fed3a4c0c0c7cedb8eea32fe2606357f58a8273f95912a94d5","first_computed_at":"2026-05-18T02:36:05.231589Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:36:05.231589Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gFQkX3lGDWPr/V+hJ2zpGc+DjZ8w42ZI4gOi9WobpqRX46OhmDkeArWX7XEmqrk3oN2X+B4uLxY5TaPrghtuBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:36:05.232499Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0206005","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1ff3b3fd438b9951d1adff8ad278adcc24d0e07262b46a0c0eb0c58c971dd70a","sha256:d906f81d783db1a8bcff81d022087495d5fe4daad76a92e06964b6d8563fa371"],"state_sha256":"d7a40d791749c185812a2f16c0a66fcf734e26f073537ec1af4185ccb4222448"}