{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2003:YSLB3SIJQX3THX4EL7LSQPPBOH","short_pith_number":"pith:YSLB3SIJ","schema_version":"1.0","canonical_sha256":"c4961dc90985f733df845fd7283de171fb0c0ae983a39a1844cda78a502bf816","source":{"kind":"arxiv","id":"hep-th/0310057","version":4},"attestation_state":"computed","paper":{"title":"Topological strings on noncommutative manifolds","license":"","headline":"","cross_cats":["math.AG","math.DG"],"primary_cat":"hep-th","authors_text":"Anton Kapustin","submitted_at":"2003-10-06T21:59:03Z","abstract_excerpt":"We identify a deformation of the N=2 supersymmetric sigma model on a Calabi-Yau manifold X which has the same effect on B-branes as a noncommutative deformation of X. We show that for hyperkahler X such deformations allow one to interpolate continuously between the A-model and the B-model. For generic values of the noncommutativity and the B-field, properties of the topologically twisted sigma-models can be described in terms of generalized complex structures introduced by N. Hitchin. For example, we show that the path integral for the deformed sigma-model is localized on generalized holomorph"},"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/0310057","kind":"arxiv","version":4},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2003-10-06T21:59:03Z","cross_cats_sorted":["math.AG","math.DG"],"title_canon_sha256":"4e274d5626b28b0d9f5cefb62fa37abbf43f58b8f38a0b9996762830eb573e21","abstract_canon_sha256":"999fc6fe0114f920c665801645e00c3f7e6437fa5504e7a883a8c0144e089ab2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:46.603065Z","signature_b64":"9g+Qc0hrIQyqBs6vdhVTPetE2TCqmgBKZOgu6mFSpSuF/ZJ6q62BWCptjxna9wRArr9aVF2wzBp8/VcVNFx2Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c4961dc90985f733df845fd7283de171fb0c0ae983a39a1844cda78a502bf816","last_reissued_at":"2026-05-18T01:38:46.602615Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:46.602615Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Topological strings on noncommutative manifolds","license":"","headline":"","cross_cats":["math.AG","math.DG"],"primary_cat":"hep-th","authors_text":"Anton Kapustin","submitted_at":"2003-10-06T21:59:03Z","abstract_excerpt":"We identify a deformation of the N=2 supersymmetric sigma model on a Calabi-Yau manifold X which has the same effect on B-branes as a noncommutative deformation of X. We show that for hyperkahler X such deformations allow one to interpolate continuously between the A-model and the B-model. For generic values of the noncommutativity and the B-field, properties of the topologically twisted sigma-models can be described in terms of generalized complex structures introduced by N. Hitchin. For example, we show that the path integral for the deformed sigma-model is localized on generalized holomorph"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0310057","kind":"arxiv","version":4},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0310057","created_at":"2026-05-18T01:38:46.602690+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0310057v4","created_at":"2026-05-18T01:38:46.602690+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0310057","created_at":"2026-05-18T01:38:46.602690+00:00"},{"alias_kind":"pith_short_12","alias_value":"YSLB3SIJQX3T","created_at":"2026-05-18T12:25:52.051335+00:00"},{"alias_kind":"pith_short_16","alias_value":"YSLB3SIJQX3THX4E","created_at":"2026-05-18T12:25:52.051335+00:00"},{"alias_kind":"pith_short_8","alias_value":"YSLB3SIJ","created_at":"2026-05-18T12:25:52.051335+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/YSLB3SIJQX3THX4EL7LSQPPBOH","json":"https://pith.science/pith/YSLB3SIJQX3THX4EL7LSQPPBOH.json","graph_json":"https://pith.science/api/pith-number/YSLB3SIJQX3THX4EL7LSQPPBOH/graph.json","events_json":"https://pith.science/api/pith-number/YSLB3SIJQX3THX4EL7LSQPPBOH/events.json","paper":"https://pith.science/paper/YSLB3SIJ"},"agent_actions":{"view_html":"https://pith.science/pith/YSLB3SIJQX3THX4EL7LSQPPBOH","download_json":"https://pith.science/pith/YSLB3SIJQX3THX4EL7LSQPPBOH.json","view_paper":"https://pith.science/paper/YSLB3SIJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/0310057&json=true","fetch_graph":"https://pith.science/api/pith-number/YSLB3SIJQX3THX4EL7LSQPPBOH/graph.json","fetch_events":"https://pith.science/api/pith-number/YSLB3SIJQX3THX4EL7LSQPPBOH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YSLB3SIJQX3THX4EL7LSQPPBOH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YSLB3SIJQX3THX4EL7LSQPPBOH/action/storage_attestation","attest_author":"https://pith.science/pith/YSLB3SIJQX3THX4EL7LSQPPBOH/action/author_attestation","sign_citation":"https://pith.science/pith/YSLB3SIJQX3THX4EL7LSQPPBOH/action/citation_signature","submit_replication":"https://pith.science/pith/YSLB3SIJQX3THX4EL7LSQPPBOH/action/replication_record"}},"created_at":"2026-05-18T01:38:46.602690+00:00","updated_at":"2026-05-18T01:38:46.602690+00:00"}