{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1993:OC44LMOQK57AWVQCDUBXTNY7TI","short_pith_number":"pith:OC44LMOQ","schema_version":"1.0","canonical_sha256":"70b9c5b1d0577e0b56021d0379b71f9a046e83e120c02c8c322734854f973e04","source":{"kind":"arxiv","id":"hep-th/9309140","version":1},"attestation_state":"computed","paper":{"title":"Kodaira-Spencer Theory of Gravity and Exact Results for Quantum String Amplitudes","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"C. Vafa, H. Ooguri, M. Bershadsky, S. Cecotti","submitted_at":"1993-09-27T14:43:23Z","abstract_excerpt":"We develop techniques to compute higher loop string amplitudes for twisted $N=2$ theories with $\\hat c=3$ (i.e. the critical case). An important ingredient is the discovery of an anomaly at every genus in decoupling of BRST trivial states, captured to all orders by a master anomaly equation. In a particular realization of the $N=2$ theories, the resulting string field theory is equivalent to a topological theory in six dimensions, the Kodaira--Spencer theory, which may be viewed as the closed string analog of the Chern--Simon theory. Using the mirror map this leads to computation of the `numbe"},"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/9309140","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1993-09-27T14:43:23Z","cross_cats_sorted":[],"title_canon_sha256":"95ae9130928c32fa7a75dd1980fbed797369d17d65f0e2b4d994c86fc5ef4527","abstract_canon_sha256":"ba61f0241ad2e11af5383adba795b7bf159cff7293105c23df95847c3a211182"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:50:08.250503Z","signature_b64":"O/Hwo6eYcxLsDgvbdQTEUa1iaAR1oXsNvLCSWHOVFwjsk1DKjXqXtYxtukovRxOcnq1QpT1YvVqirWDX7e9DAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"70b9c5b1d0577e0b56021d0379b71f9a046e83e120c02c8c322734854f973e04","last_reissued_at":"2026-07-04T15:50:08.250039Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:50:08.250039Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Kodaira-Spencer Theory of Gravity and Exact Results for Quantum String Amplitudes","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"C. Vafa, H. Ooguri, M. Bershadsky, S. Cecotti","submitted_at":"1993-09-27T14:43:23Z","abstract_excerpt":"We develop techniques to compute higher loop string amplitudes for twisted $N=2$ theories with $\\hat c=3$ (i.e. the critical case). An important ingredient is the discovery of an anomaly at every genus in decoupling of BRST trivial states, captured to all orders by a master anomaly equation. In a particular realization of the $N=2$ theories, the resulting string field theory is equivalent to a topological theory in six dimensions, the Kodaira--Spencer theory, which may be viewed as the closed string analog of the Chern--Simon theory. Using the mirror map this leads to computation of the `numbe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9309140","kind":"arxiv","version":1},"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/9309140/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/9309140","created_at":"2026-07-04T15:50:08.250104+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9309140v1","created_at":"2026-07-04T15:50:08.250104+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9309140","created_at":"2026-07-04T15:50:08.250104+00:00"},{"alias_kind":"pith_short_12","alias_value":"OC44LMOQK57A","created_at":"2026-07-04T15:50:08.250104+00:00"},{"alias_kind":"pith_short_16","alias_value":"OC44LMOQK57AWVQC","created_at":"2026-07-04T15:50:08.250104+00:00"},{"alias_kind":"pith_short_8","alias_value":"OC44LMOQ","created_at":"2026-07-04T15:50:08.250104+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":15,"internal_anchor_count":11,"sample":[{"citing_arxiv_id":"2606.23893","citing_title":"Towards OSV in AdS","ref_index":9,"is_internal_anchor":true},{"citing_arxiv_id":"2607.02145","citing_title":"Supersymmetric twists in twistor space and holography","ref_index":36,"is_internal_anchor":true},{"citing_arxiv_id":"2606.05280","citing_title":"Kaleidoscopes, Waves and the Prepotential","ref_index":23,"is_internal_anchor":true},{"citing_arxiv_id":"2607.00880","citing_title":"Modular resurgence of topological string","ref_index":5,"is_internal_anchor":true},{"citing_arxiv_id":"2605.19552","citing_title":"Large Order Enumerative Geometry, Black Holes and Black Rings","ref_index":3,"is_internal_anchor":true},{"citing_arxiv_id":"2301.05214","citing_title":"All the D-Branes of Resurgence","ref_index":142,"is_internal_anchor":true},{"citing_arxiv_id":"2309.12046","citing_title":"Non-Perturbative Real Topological Strings","ref_index":26,"is_internal_anchor":true},{"citing_arxiv_id":"2406.17852","citing_title":"Non-perturbative topological strings from resurgence","ref_index":2,"is_internal_anchor":true},{"citing_arxiv_id":"2604.19731","citing_title":"The non-perturbative topological string: from resurgence to wall-crossing of DT invariants","ref_index":8,"is_internal_anchor":true},{"citing_arxiv_id":"2605.19552","citing_title":"Large Order Enumerative Geometry, Black Holes and Black Rings","ref_index":3,"is_internal_anchor":true},{"citing_arxiv_id":"2508.20094","citing_title":"(Un)solvable Matrix Models for BPS Correlators","ref_index":15,"is_internal_anchor":true},{"citing_arxiv_id":"2604.19731","citing_title":"The non-perturbative topological string: from resurgence to wall-crossing of DT invariants","ref_index":8,"is_internal_anchor":false},{"citing_arxiv_id":"2604.12055","citing_title":"On a Deformed Holomorphic Chern-Simons Theory","ref_index":11,"is_internal_anchor":false},{"citing_arxiv_id":"2604.12784","citing_title":"Quantum chaos and the holographic principle","ref_index":14,"is_internal_anchor":false},{"citing_arxiv_id":"2605.02885","citing_title":"Open-Closed-Open Triality Beyond Matrix Models","ref_index":32,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/OC44LMOQK57AWVQCDUBXTNY7TI","json":"https://pith.science/pith/OC44LMOQK57AWVQCDUBXTNY7TI.json","graph_json":"https://pith.science/api/pith-number/OC44LMOQK57AWVQCDUBXTNY7TI/graph.json","events_json":"https://pith.science/api/pith-number/OC44LMOQK57AWVQCDUBXTNY7TI/events.json","paper":"https://pith.science/paper/OC44LMOQ"},"agent_actions":{"view_html":"https://pith.science/pith/OC44LMOQK57AWVQCDUBXTNY7TI","download_json":"https://pith.science/pith/OC44LMOQK57AWVQCDUBXTNY7TI.json","view_paper":"https://pith.science/paper/OC44LMOQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/9309140&json=true","fetch_graph":"https://pith.science/api/pith-number/OC44LMOQK57AWVQCDUBXTNY7TI/graph.json","fetch_events":"https://pith.science/api/pith-number/OC44LMOQK57AWVQCDUBXTNY7TI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OC44LMOQK57AWVQCDUBXTNY7TI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OC44LMOQK57AWVQCDUBXTNY7TI/action/storage_attestation","attest_author":"https://pith.science/pith/OC44LMOQK57AWVQCDUBXTNY7TI/action/author_attestation","sign_citation":"https://pith.science/pith/OC44LMOQK57AWVQCDUBXTNY7TI/action/citation_signature","submit_replication":"https://pith.science/pith/OC44LMOQK57AWVQCDUBXTNY7TI/action/replication_record"}},"created_at":"2026-07-04T15:50:08.250104+00:00","updated_at":"2026-07-04T15:50:08.250104+00:00"}