{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:DWWLPOK7T4IO6KQ5EXIDY2IK65","short_pith_number":"pith:DWWLPOK7","canonical_record":{"source":{"id":"2105.04670","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-05-10T21:10:15Z","cross_cats_sorted":[],"title_canon_sha256":"e8a124f5de8ae121b80bc79adb4cf5cacb23943d26e5d453825f217a39112acc","abstract_canon_sha256":"aa60fb7a7ea9188eccbe53c481e9c710d68799ceb5b934f21982a6a0d9a36611"},"schema_version":"1.0"},"canonical_sha256":"1dacb7b95f9f10ef2a1d25d03c690af764c760749a56648b689f0aec914b9e23","source":{"kind":"arxiv","id":"2105.04670","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2105.04670","created_at":"2026-07-05T02:53:57Z"},{"alias_kind":"arxiv_version","alias_value":"2105.04670v2","created_at":"2026-07-05T02:53:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2105.04670","created_at":"2026-07-05T02:53:57Z"},{"alias_kind":"pith_short_12","alias_value":"DWWLPOK7T4IO","created_at":"2026-07-05T02:53:57Z"},{"alias_kind":"pith_short_16","alias_value":"DWWLPOK7T4IO6KQ5","created_at":"2026-07-05T02:53:57Z"},{"alias_kind":"pith_short_8","alias_value":"DWWLPOK7","created_at":"2026-07-05T02:53:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:DWWLPOK7T4IO6KQ5EXIDY2IK65","target":"record","payload":{"canonical_record":{"source":{"id":"2105.04670","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-05-10T21:10:15Z","cross_cats_sorted":[],"title_canon_sha256":"e8a124f5de8ae121b80bc79adb4cf5cacb23943d26e5d453825f217a39112acc","abstract_canon_sha256":"aa60fb7a7ea9188eccbe53c481e9c710d68799ceb5b934f21982a6a0d9a36611"},"schema_version":"1.0"},"canonical_sha256":"1dacb7b95f9f10ef2a1d25d03c690af764c760749a56648b689f0aec914b9e23","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:53:57.488291Z","signature_b64":"YMiw8KsJP+NKHzH3+jdTCp6bcJBGJ4+ole+BbJwq4dZoUoeL9iVJRtxv2FRpz9GFetTqLjInP8YzqmZLNCUTDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1dacb7b95f9f10ef2a1d25d03c690af764c760749a56648b689f0aec914b9e23","last_reissued_at":"2026-07-05T02:53:57.487826Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:53:57.487826Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2105.04670","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":"2026-07-05T02:53:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EA0HyalkRI773HbgLSXvJPJ3FN0b0sH80RBB0tygdqPAVYuP5f1wPu3cUTWGHv8aWwPjYqDEGPQssUUAZ1+sBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T12:25:15.482651Z"},"content_sha256":"fb53fc5ed6737e147e79b935be7791459f2a75e71ea94d2d734cbc37821ad5a7","schema_version":"1.0","event_id":"sha256:fb53fc5ed6737e147e79b935be7791459f2a75e71ea94d2d734cbc37821ad5a7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:DWWLPOK7T4IO6KQ5EXIDY2IK65","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Holographic correlators with multi-particle states","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Marcel R. R. Hughes, Nejc Ceplak, Rodolfo Russo, Stefano Giusto","submitted_at":"2021-05-10T21:10:15Z","abstract_excerpt":"We derive the connected tree-level part of 4-point holographic correlators in AdS$_3\\times S^3\\times \\mathcal{M}$ (where ${\\cal M}$ is $T^4$ or $K3$) involving two multi-trace and two single-trace operators. These connected correlators are obtained by studying a heavy-heavy-light-light correlation function in the formal limit where the heavy operators become light. These results provide a window into higher-point holographic correlators of single-particle operators. We find that the correlators involving multi-trace operators are compactly written in terms of Bloch-Wigner-Ramakrishnan function"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2105.04670","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2105.04670/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T02:53:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RWvZnICOfuGcGqjYYgLDt6fUBqoJqNCLLcwl0efjVbmFDvsuxgBygY4gyzNXwWV1IjYPZdik/XzhIs1ccNSKDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T12:25:15.483193Z"},"content_sha256":"660d6874805b1bc9635f30f0aab255913301d7dda7e567a949adc8a80b2f4200","schema_version":"1.0","event_id":"sha256:660d6874805b1bc9635f30f0aab255913301d7dda7e567a949adc8a80b2f4200"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DWWLPOK7T4IO6KQ5EXIDY2IK65/bundle.json","state_url":"https://pith.science/pith/DWWLPOK7T4IO6KQ5EXIDY2IK65/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DWWLPOK7T4IO6KQ5EXIDY2IK65/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":"2026-08-08T12:25:15Z","links":{"resolver":"https://pith.science/pith/DWWLPOK7T4IO6KQ5EXIDY2IK65","bundle":"https://pith.science/pith/DWWLPOK7T4IO6KQ5EXIDY2IK65/bundle.json","state":"https://pith.science/pith/DWWLPOK7T4IO6KQ5EXIDY2IK65/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DWWLPOK7T4IO6KQ5EXIDY2IK65/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:DWWLPOK7T4IO6KQ5EXIDY2IK65","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":"aa60fb7a7ea9188eccbe53c481e9c710d68799ceb5b934f21982a6a0d9a36611","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-05-10T21:10:15Z","title_canon_sha256":"e8a124f5de8ae121b80bc79adb4cf5cacb23943d26e5d453825f217a39112acc"},"schema_version":"1.0","source":{"id":"2105.04670","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2105.04670","created_at":"2026-07-05T02:53:57Z"},{"alias_kind":"arxiv_version","alias_value":"2105.04670v2","created_at":"2026-07-05T02:53:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2105.04670","created_at":"2026-07-05T02:53:57Z"},{"alias_kind":"pith_short_12","alias_value":"DWWLPOK7T4IO","created_at":"2026-07-05T02:53:57Z"},{"alias_kind":"pith_short_16","alias_value":"DWWLPOK7T4IO6KQ5","created_at":"2026-07-05T02:53:57Z"},{"alias_kind":"pith_short_8","alias_value":"DWWLPOK7","created_at":"2026-07-05T02:53:57Z"}],"graph_snapshots":[{"event_id":"sha256:660d6874805b1bc9635f30f0aab255913301d7dda7e567a949adc8a80b2f4200","target":"graph","created_at":"2026-07-05T02:53:57Z","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/2105.04670/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We derive the connected tree-level part of 4-point holographic correlators in AdS$_3\\times S^3\\times \\mathcal{M}$ (where ${\\cal M}$ is $T^4$ or $K3$) involving two multi-trace and two single-trace operators. These connected correlators are obtained by studying a heavy-heavy-light-light correlation function in the formal limit where the heavy operators become light. These results provide a window into higher-point holographic correlators of single-particle operators. We find that the correlators involving multi-trace operators are compactly written in terms of Bloch-Wigner-Ramakrishnan function","authors_text":"Marcel R. R. Hughes, Nejc Ceplak, Rodolfo Russo, Stefano Giusto","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-05-10T21:10:15Z","title":"Holographic correlators with multi-particle states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2105.04670","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:fb53fc5ed6737e147e79b935be7791459f2a75e71ea94d2d734cbc37821ad5a7","target":"record","created_at":"2026-07-05T02:53:57Z","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":"aa60fb7a7ea9188eccbe53c481e9c710d68799ceb5b934f21982a6a0d9a36611","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-05-10T21:10:15Z","title_canon_sha256":"e8a124f5de8ae121b80bc79adb4cf5cacb23943d26e5d453825f217a39112acc"},"schema_version":"1.0","source":{"id":"2105.04670","kind":"arxiv","version":2}},"canonical_sha256":"1dacb7b95f9f10ef2a1d25d03c690af764c760749a56648b689f0aec914b9e23","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1dacb7b95f9f10ef2a1d25d03c690af764c760749a56648b689f0aec914b9e23","first_computed_at":"2026-07-05T02:53:57.487826Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:53:57.487826Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YMiw8KsJP+NKHzH3+jdTCp6bcJBGJ4+ole+BbJwq4dZoUoeL9iVJRtxv2FRpz9GFetTqLjInP8YzqmZLNCUTDw==","signature_status":"signed_v1","signed_at":"2026-07-05T02:53:57.488291Z","signed_message":"canonical_sha256_bytes"},"source_id":"2105.04670","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fb53fc5ed6737e147e79b935be7791459f2a75e71ea94d2d734cbc37821ad5a7","sha256:660d6874805b1bc9635f30f0aab255913301d7dda7e567a949adc8a80b2f4200"],"state_sha256":"d77a9c631fc61a89308e2833e7671c8ebdd56e20013b3c4895a16a41bd6190ef"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iZ76un5Rd8T9Xl+4s6lWPEJoCT8XcOhKvhULv/Ki/PkMYkvdztZmzv8GMkBnBKnCLIg+GuOFHYyDFpkva+g/BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T12:25:15.487894Z","bundle_sha256":"ef975289e000c143d9db2c706541c4b5d0658dc2279353095415726efbf989bc"}}