{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2002:KTIQKW34UNFALHOHOUX5XTFMDD","short_pith_number":"pith:KTIQKW34","schema_version":"1.0","canonical_sha256":"54d1055b7ca34a059dc7752fdbccac18df6c1e2742a1af9bad3d7cbdcf72f8f9","source":{"kind":"arxiv","id":"hep-th/0206203","version":2},"attestation_state":"computed","paper":{"title":"Vector Bundle Moduli Superpotentials in Heterotic Superstrings and M-Theory","license":"","headline":"","cross_cats":["math.AG"],"primary_cat":"hep-th","authors_text":"Burt A. Ovrut, Evgeny I. Buchbinder, Ron Donagi","submitted_at":"2002-06-21T19:20:56Z","abstract_excerpt":"The non-perturbative superpotential generated by a heterotic superstring wrapped once around a genus-zero holomorphic curve is proportional to the Pfaffian involving the determinant of a Dirac operator on this curve. We show that the space of zero modes of this Dirac operator is the kernel of a linear mapping that is dependent on the associated vector bundle moduli. By explicitly computing the determinant of this map, one can deduce whether or not the dimension of the space of zero modes vanishes. It is shown that this information is sufficient to completely determine the Pfaffian and, hence, "},"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/0206203","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2002-06-21T19:20:56Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"44fe292cc5e80b3c044250c19966ec7f0906945b9be72145d383c40ca5e434ce","abstract_canon_sha256":"67e0a827e0fe32f3b9e0baadc944ea3a43f559c8e204b7f18bd38f4b8b681e3a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:36:05.137400Z","signature_b64":"wrnvvoDyq4LrR55duU3Q9SXHduol4VL90jKDv/S6j18N7hjT8m2By6KCEC5gf7S8IDXt4S1/YLbm+0ne51wAAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"54d1055b7ca34a059dc7752fdbccac18df6c1e2742a1af9bad3d7cbdcf72f8f9","last_reissued_at":"2026-05-18T02:36:05.136725Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:36:05.136725Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Vector Bundle Moduli Superpotentials in Heterotic Superstrings and M-Theory","license":"","headline":"","cross_cats":["math.AG"],"primary_cat":"hep-th","authors_text":"Burt A. Ovrut, Evgeny I. Buchbinder, Ron Donagi","submitted_at":"2002-06-21T19:20:56Z","abstract_excerpt":"The non-perturbative superpotential generated by a heterotic superstring wrapped once around a genus-zero holomorphic curve is proportional to the Pfaffian involving the determinant of a Dirac operator on this curve. We show that the space of zero modes of this Dirac operator is the kernel of a linear mapping that is dependent on the associated vector bundle moduli. By explicitly computing the determinant of this map, one can deduce whether or not the dimension of the space of zero modes vanishes. It is shown that this information is sufficient to completely determine the Pfaffian and, hence, "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0206203","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0206203","created_at":"2026-05-18T02:36:05.136839+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0206203v2","created_at":"2026-05-18T02:36:05.136839+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0206203","created_at":"2026-05-18T02:36:05.136839+00:00"},{"alias_kind":"pith_short_12","alias_value":"KTIQKW34UNFA","created_at":"2026-05-18T12:25:51.375804+00:00"},{"alias_kind":"pith_short_16","alias_value":"KTIQKW34UNFALHOH","created_at":"2026-05-18T12:25:51.375804+00:00"},{"alias_kind":"pith_short_8","alias_value":"KTIQKW34","created_at":"2026-05-18T12:25:51.375804+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/KTIQKW34UNFALHOHOUX5XTFMDD","json":"https://pith.science/pith/KTIQKW34UNFALHOHOUX5XTFMDD.json","graph_json":"https://pith.science/api/pith-number/KTIQKW34UNFALHOHOUX5XTFMDD/graph.json","events_json":"https://pith.science/api/pith-number/KTIQKW34UNFALHOHOUX5XTFMDD/events.json","paper":"https://pith.science/paper/KTIQKW34"},"agent_actions":{"view_html":"https://pith.science/pith/KTIQKW34UNFALHOHOUX5XTFMDD","download_json":"https://pith.science/pith/KTIQKW34UNFALHOHOUX5XTFMDD.json","view_paper":"https://pith.science/paper/KTIQKW34","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/0206203&json=true","fetch_graph":"https://pith.science/api/pith-number/KTIQKW34UNFALHOHOUX5XTFMDD/graph.json","fetch_events":"https://pith.science/api/pith-number/KTIQKW34UNFALHOHOUX5XTFMDD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KTIQKW34UNFALHOHOUX5XTFMDD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KTIQKW34UNFALHOHOUX5XTFMDD/action/storage_attestation","attest_author":"https://pith.science/pith/KTIQKW34UNFALHOHOUX5XTFMDD/action/author_attestation","sign_citation":"https://pith.science/pith/KTIQKW34UNFALHOHOUX5XTFMDD/action/citation_signature","submit_replication":"https://pith.science/pith/KTIQKW34UNFALHOHOUX5XTFMDD/action/replication_record"}},"created_at":"2026-05-18T02:36:05.136839+00:00","updated_at":"2026-05-18T02:36:05.136839+00:00"}