{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2002:JU6BGJ2PMZBFQY6GQPAZJ5OC7S","short_pith_number":"pith:JU6BGJ2P","schema_version":"1.0","canonical_sha256":"4d3c13274f66425863c683c194f5c2fca99101b7c1ea75c0c852013d2dd371ec","source":{"kind":"arxiv","id":"hep-th/0205297","version":3},"attestation_state":"computed","paper":{"title":"Worldsheet Derivation of a Large N Duality","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Cumrun Vafa, Hirosi Ooguri","submitted_at":"2002-05-29T18:30:43Z","abstract_excerpt":"We give a worldsheet proof of the equivalence between the U(N) Chern-Simons gauge theory on S^3 and the topological closed string theory on the resolved conifold geometry. When the `t Hooft coupling of the gauge theory is small, the dual closed string worldsheet develops a new branch. We show that the fluctuations of the worldsheet into this branch effectively correspond to ``holes'' on the worldsheet, generating an open string sector. This leads to a microscopic description of how the `t Hooft expansion of gauge theory amplitudes is reproduced in the closed string computation. We find that th"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"hep-th/0205297","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2002-05-29T18:30:43Z","cross_cats_sorted":[],"title_canon_sha256":"70b6c4f5c3c69dd01a1248197c3d95e5ca14f3d77872522707a702f272a94756","abstract_canon_sha256":"aed1e71700129b7d1fe4835e5592004afb172dae3e22301def072c92ea6e394e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:18:28.562782Z","signature_b64":"CyZ4eTErQXrcRuhLi4BWdKdAXfXOViWLSjt7kbMVM1avl7YxbwDrXKJk7fxJ0pJipWFfQz3VRfSoz/OLFkcmAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4d3c13274f66425863c683c194f5c2fca99101b7c1ea75c0c852013d2dd371ec","last_reissued_at":"2026-07-04T15:18:28.562277Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:18:28.562277Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Worldsheet Derivation of a Large N Duality","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Cumrun Vafa, Hirosi Ooguri","submitted_at":"2002-05-29T18:30:43Z","abstract_excerpt":"We give a worldsheet proof of the equivalence between the U(N) Chern-Simons gauge theory on S^3 and the topological closed string theory on the resolved conifold geometry. When the `t Hooft coupling of the gauge theory is small, the dual closed string worldsheet develops a new branch. We show that the fluctuations of the worldsheet into this branch effectively correspond to ``holes'' on the worldsheet, generating an open string sector. This leads to a microscopic description of how the `t Hooft expansion of gauge theory amplitudes is reproduced in the closed string computation. We find that th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0205297","kind":"arxiv","version":3},"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/hep-th/0205297/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0205297","created_at":"2026-07-04T15:18:28.562362+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0205297v3","created_at":"2026-07-04T15:18:28.562362+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0205297","created_at":"2026-07-04T15:18:28.562362+00:00"},{"alias_kind":"pith_short_12","alias_value":"JU6BGJ2PMZBF","created_at":"2026-07-04T15:18:28.562362+00:00"},{"alias_kind":"pith_short_16","alias_value":"JU6BGJ2PMZBFQY6G","created_at":"2026-07-04T15:18:28.562362+00:00"},{"alias_kind":"pith_short_8","alias_value":"JU6BGJ2P","created_at":"2026-07-04T15:18:28.562362+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2509.03930","citing_title":"Cap amplitudes in random matrix models","ref_index":22,"is_internal_anchor":true},{"citing_arxiv_id":"2605.02885","citing_title":"Open-Closed-Open Triality Beyond Matrix Models","ref_index":7,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/JU6BGJ2PMZBFQY6GQPAZJ5OC7S","json":"https://pith.science/pith/JU6BGJ2PMZBFQY6GQPAZJ5OC7S.json","graph_json":"https://pith.science/api/pith-number/JU6BGJ2PMZBFQY6GQPAZJ5OC7S/graph.json","events_json":"https://pith.science/api/pith-number/JU6BGJ2PMZBFQY6GQPAZJ5OC7S/events.json","paper":"https://pith.science/paper/JU6BGJ2P"},"agent_actions":{"view_html":"https://pith.science/pith/JU6BGJ2PMZBFQY6GQPAZJ5OC7S","download_json":"https://pith.science/pith/JU6BGJ2PMZBFQY6GQPAZJ5OC7S.json","view_paper":"https://pith.science/paper/JU6BGJ2P","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/0205297&json=true","fetch_graph":"https://pith.science/api/pith-number/JU6BGJ2PMZBFQY6GQPAZJ5OC7S/graph.json","fetch_events":"https://pith.science/api/pith-number/JU6BGJ2PMZBFQY6GQPAZJ5OC7S/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JU6BGJ2PMZBFQY6GQPAZJ5OC7S/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JU6BGJ2PMZBFQY6GQPAZJ5OC7S/action/storage_attestation","attest_author":"https://pith.science/pith/JU6BGJ2PMZBFQY6GQPAZJ5OC7S/action/author_attestation","sign_citation":"https://pith.science/pith/JU6BGJ2PMZBFQY6GQPAZJ5OC7S/action/citation_signature","submit_replication":"https://pith.science/pith/JU6BGJ2PMZBFQY6GQPAZJ5OC7S/action/replication_record"}},"created_at":"2026-07-04T15:18:28.562362+00:00","updated_at":"2026-07-04T15:18:28.562362+00:00"}