{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2004:XLINR5XSACTJWFB6BW2ABNKOYL","short_pith_number":"pith:XLINR5XS","schema_version":"1.0","canonical_sha256":"bad0d8f6f200a69b143e0db400b54ec2cf12b86859400efc651264b28ab67a50","source":{"kind":"arxiv","id":"hep-th/0410178","version":2},"attestation_state":"computed","paper":{"title":"Topological strings and their physical applications","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Andrew Neitzke, Cumrun Vafa","submitted_at":"2004-10-16T19:20:10Z","abstract_excerpt":"We give an introductory review of topological strings and their application to various aspects of superstrings and supersymmetric gauge theories. This review includes developing the necessary mathematical background for topological strings, such as the notions of Calabi-Yau manifold and toric geometry, as well as physical methods developed for solving them, such as mirror symmetry, large N dualities, the topological vertex and quantum foam. In addition, we discuss applications of topological strings to N=1,2 supersymmetric gauge theories in 4 dimensions as well as to BPS black hole entropy in "},"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/0410178","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2004-10-16T19:20:10Z","cross_cats_sorted":[],"title_canon_sha256":"816b59f858912f2f915878f03245b180ae4e52b65f35bd65a062dfe3ef8c3733","abstract_canon_sha256":"fc136593f538422a6e74d129b94d1be6aa828d0dcca92841f06a88340f2c1fff"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:32:19.315153Z","signature_b64":"HY29mC9NEUHCV0gbfaiYkVzCQmBWLot5Uwh9B6YVgrx/CRnTQ+sfVzAXa2uNjo2UiIXgC7Cxb4Q7CbQWup5bDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bad0d8f6f200a69b143e0db400b54ec2cf12b86859400efc651264b28ab67a50","last_reissued_at":"2026-07-04T14:32:19.314763Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:32:19.314763Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Topological strings and their physical applications","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Andrew Neitzke, Cumrun Vafa","submitted_at":"2004-10-16T19:20:10Z","abstract_excerpt":"We give an introductory review of topological strings and their application to various aspects of superstrings and supersymmetric gauge theories. This review includes developing the necessary mathematical background for topological strings, such as the notions of Calabi-Yau manifold and toric geometry, as well as physical methods developed for solving them, such as mirror symmetry, large N dualities, the topological vertex and quantum foam. In addition, we discuss applications of topological strings to N=1,2 supersymmetric gauge theories in 4 dimensions as well as to BPS black hole entropy in "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0410178","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/hep-th/0410178/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/0410178","created_at":"2026-07-04T14:32:19.314819+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0410178v2","created_at":"2026-07-04T14:32:19.314819+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0410178","created_at":"2026-07-04T14:32:19.314819+00:00"},{"alias_kind":"pith_short_12","alias_value":"XLINR5XSACTJ","created_at":"2026-07-04T14:32:19.314819+00:00"},{"alias_kind":"pith_short_16","alias_value":"XLINR5XSACTJWFB6","created_at":"2026-07-04T14:32:19.314819+00:00"},{"alias_kind":"pith_short_8","alias_value":"XLINR5XS","created_at":"2026-07-04T14:32:19.314819+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2605.06550","citing_title":"Hadrons in $\\mathcal{N}=2$ supersymmetric QCD from non-Abelian string on 2D black hole","ref_index":12,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/XLINR5XSACTJWFB6BW2ABNKOYL","json":"https://pith.science/pith/XLINR5XSACTJWFB6BW2ABNKOYL.json","graph_json":"https://pith.science/api/pith-number/XLINR5XSACTJWFB6BW2ABNKOYL/graph.json","events_json":"https://pith.science/api/pith-number/XLINR5XSACTJWFB6BW2ABNKOYL/events.json","paper":"https://pith.science/paper/XLINR5XS"},"agent_actions":{"view_html":"https://pith.science/pith/XLINR5XSACTJWFB6BW2ABNKOYL","download_json":"https://pith.science/pith/XLINR5XSACTJWFB6BW2ABNKOYL.json","view_paper":"https://pith.science/paper/XLINR5XS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/0410178&json=true","fetch_graph":"https://pith.science/api/pith-number/XLINR5XSACTJWFB6BW2ABNKOYL/graph.json","fetch_events":"https://pith.science/api/pith-number/XLINR5XSACTJWFB6BW2ABNKOYL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XLINR5XSACTJWFB6BW2ABNKOYL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XLINR5XSACTJWFB6BW2ABNKOYL/action/storage_attestation","attest_author":"https://pith.science/pith/XLINR5XSACTJWFB6BW2ABNKOYL/action/author_attestation","sign_citation":"https://pith.science/pith/XLINR5XSACTJWFB6BW2ABNKOYL/action/citation_signature","submit_replication":"https://pith.science/pith/XLINR5XSACTJWFB6BW2ABNKOYL/action/replication_record"}},"created_at":"2026-07-04T14:32:19.314819+00:00","updated_at":"2026-07-04T14:32:19.314819+00:00"}