{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2001:Y6SMGZP4UY63GS53LVJNPIZGUJ","short_pith_number":"pith:Y6SMGZP4","canonical_record":{"source":{"id":"hep-th/0111180","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2001-11-20T22:54:59Z","cross_cats_sorted":[],"title_canon_sha256":"bc9e710c24f906c03ed40b923b60bf60fb60b5475760c4074caec35b1e667dc3","abstract_canon_sha256":"e5ee3d3336411b0747679ec46134bb3b9653539ba47df34dfcf88530249f35ca"},"schema_version":"1.0"},"canonical_sha256":"c7a4c365fca63db34bbb5d52d7a326a258c89ff306b5542bad732112538dcef9","source":{"kind":"arxiv","id":"hep-th/0111180","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0111180","created_at":"2026-05-18T01:05:59Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0111180v2","created_at":"2026-05-18T01:05:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0111180","created_at":"2026-05-18T01:05:59Z"},{"alias_kind":"pith_short_12","alias_value":"Y6SMGZP4UY63","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"Y6SMGZP4UY63GS53","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"Y6SMGZP4","created_at":"2026-05-18T12:25:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2001:Y6SMGZP4UY63GS53LVJNPIZGUJ","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0111180","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2001-11-20T22:54:59Z","cross_cats_sorted":[],"title_canon_sha256":"bc9e710c24f906c03ed40b923b60bf60fb60b5475760c4074caec35b1e667dc3","abstract_canon_sha256":"e5ee3d3336411b0747679ec46134bb3b9653539ba47df34dfcf88530249f35ca"},"schema_version":"1.0"},"canonical_sha256":"c7a4c365fca63db34bbb5d52d7a326a258c89ff306b5542bad732112538dcef9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:59.745704Z","signature_b64":"hUqjHjA+oqtPkB0VXSf0F2wvOM44dpj8jiFnldwLENcSItgeAYoxu/PcbGtkfkybuFzE+Lyv/W9yL6i2VrW/CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c7a4c365fca63db34bbb5d52d7a326a258c89ff306b5542bad732112538dcef9","last_reissued_at":"2026-05-18T01:05:59.745278Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:59.745278Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0111180","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":"2026-05-18T01:05:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nkRmlgIpyf+8E4HfdsheUNQB0lwVj6Z4CRvlLA1Doc+RqDL1zsbsfnuuFmBmmkk70eWipJQkO8+nFeU6GmOHCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T15:56:43.375918Z"},"content_sha256":"bc550b12f656629630368ac7d8d5102eb59dd8ec6bd29b10cc7996b37cc55ac1","schema_version":"1.0","event_id":"sha256:bc550b12f656629630368ac7d8d5102eb59dd8ec6bd29b10cc7996b37cc55ac1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2001:Y6SMGZP4UY63GS53LVJNPIZGUJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Strings in AdS_3 and the SL(2,R) WZW Model. Part 3: Correlation Functions","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Hirosi Ooguri, Juan Maldacena","submitted_at":"2001-11-20T22:54:59Z","abstract_excerpt":"We consider correlation functions for string theory on AdS_3. We analyze their singularities and we provide a physical interpretation for them. We explain which worldsheet correlation functions have a sensible physical interpretation in terms of the boundary theory. We consider the operator product expansion of the four point function and we find that it factorizes only if a certain condition is obeyed. We explain that this is the correct physical result. We compute correlation functions involving spectral flowed operators and we derive a constraint on the amount of winding violation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0111180","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":""},"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":"2026-05-18T01:05:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p8WofuMh2Fk0dopdJbDw/YY8r9ZWlJ5Id8pOx+5wOp3Ze0F+30HA7Pu3765xKIqbA0giEou3PwhEDhDPgbCEBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T15:56:43.376260Z"},"content_sha256":"70243017eeffb09590edd228eab7a405d77d36bf3d77f6c049cf1197ffc121f2","schema_version":"1.0","event_id":"sha256:70243017eeffb09590edd228eab7a405d77d36bf3d77f6c049cf1197ffc121f2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Y6SMGZP4UY63GS53LVJNPIZGUJ/bundle.json","state_url":"https://pith.science/pith/Y6SMGZP4UY63GS53LVJNPIZGUJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Y6SMGZP4UY63GS53LVJNPIZGUJ/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":"2026-06-30T15:56:43Z","links":{"resolver":"https://pith.science/pith/Y6SMGZP4UY63GS53LVJNPIZGUJ","bundle":"https://pith.science/pith/Y6SMGZP4UY63GS53LVJNPIZGUJ/bundle.json","state":"https://pith.science/pith/Y6SMGZP4UY63GS53LVJNPIZGUJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Y6SMGZP4UY63GS53LVJNPIZGUJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:Y6SMGZP4UY63GS53LVJNPIZGUJ","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":"e5ee3d3336411b0747679ec46134bb3b9653539ba47df34dfcf88530249f35ca","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2001-11-20T22:54:59Z","title_canon_sha256":"bc9e710c24f906c03ed40b923b60bf60fb60b5475760c4074caec35b1e667dc3"},"schema_version":"1.0","source":{"id":"hep-th/0111180","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0111180","created_at":"2026-05-18T01:05:59Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0111180v2","created_at":"2026-05-18T01:05:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0111180","created_at":"2026-05-18T01:05:59Z"},{"alias_kind":"pith_short_12","alias_value":"Y6SMGZP4UY63","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"Y6SMGZP4UY63GS53","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"Y6SMGZP4","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:70243017eeffb09590edd228eab7a405d77d36bf3d77f6c049cf1197ffc121f2","target":"graph","created_at":"2026-05-18T01:05:59Z","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":"We consider correlation functions for string theory on AdS_3. We analyze their singularities and we provide a physical interpretation for them. We explain which worldsheet correlation functions have a sensible physical interpretation in terms of the boundary theory. We consider the operator product expansion of the four point function and we find that it factorizes only if a certain condition is obeyed. We explain that this is the correct physical result. We compute correlation functions involving spectral flowed operators and we derive a constraint on the amount of winding violation.","authors_text":"Hirosi Ooguri, Juan Maldacena","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2001-11-20T22:54:59Z","title":"Strings in AdS_3 and the SL(2,R) WZW Model. Part 3: Correlation Functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0111180","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:bc550b12f656629630368ac7d8d5102eb59dd8ec6bd29b10cc7996b37cc55ac1","target":"record","created_at":"2026-05-18T01:05:59Z","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":"e5ee3d3336411b0747679ec46134bb3b9653539ba47df34dfcf88530249f35ca","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2001-11-20T22:54:59Z","title_canon_sha256":"bc9e710c24f906c03ed40b923b60bf60fb60b5475760c4074caec35b1e667dc3"},"schema_version":"1.0","source":{"id":"hep-th/0111180","kind":"arxiv","version":2}},"canonical_sha256":"c7a4c365fca63db34bbb5d52d7a326a258c89ff306b5542bad732112538dcef9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c7a4c365fca63db34bbb5d52d7a326a258c89ff306b5542bad732112538dcef9","first_computed_at":"2026-05-18T01:05:59.745278Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:59.745278Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hUqjHjA+oqtPkB0VXSf0F2wvOM44dpj8jiFnldwLENcSItgeAYoxu/PcbGtkfkybuFzE+Lyv/W9yL6i2VrW/CA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:59.745704Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0111180","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bc550b12f656629630368ac7d8d5102eb59dd8ec6bd29b10cc7996b37cc55ac1","sha256:70243017eeffb09590edd228eab7a405d77d36bf3d77f6c049cf1197ffc121f2"],"state_sha256":"a1b0bce65162eef9a1243692fb4e198c2f4b5d110dcbacdb4a84d5cf79eabb98"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a+WCN/XGi2ao1283R3I19uIHK2h2TWdtKeN2mbIjSj5fzDRPfNAU2EXKdWvoP7ELwQxKbx+yjgWHUbmJGDNRDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T15:56:43.378208Z","bundle_sha256":"b006b48e8ebe03fd05f1c43f00ea5f37bdd5a1ce537a874163f0de661bd9fb03"}}