{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1996:A4MCJT3KS7GDW6GFV4MMDPFIZX","short_pith_number":"pith:A4MCJT3K","schema_version":"1.0","canonical_sha256":"071824cf6a97cc3b78c5af18c1bca8cde3f97d4f1e9c562ef33f81f2aa132e82","source":{"kind":"arxiv","id":"hep-th/9603108","version":2},"attestation_state":"computed","paper":{"title":"Instanton Numbers and Exchange Symmetries in $N=2$ Dual String Pairs","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Dieter L\\\"ust, Gabriel Lopes Cardoso, Gottfried Curio, Thomas Mohaupt","submitted_at":"1996-03-15T18:37:15Z","abstract_excerpt":"In this note, we comment on Calabi-Yau spaces with Hodge numbers $h_{1,1}=3$ and $h_{2,1}=243$. We focus on the Calabi-Yau space $WP_{1,1,2,8,12}(24)$ and show how some of its instanton numbers are related to coefficients of certain modular forms. We also comment on the relation of four dimensional exchange symmetries in certain $N=2$ dual models to six dimensional heterotic/heterotic string duality."},"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/9603108","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1996-03-15T18:37:15Z","cross_cats_sorted":[],"title_canon_sha256":"ef3b2efb9a328d162525cdd9819e8647f74e4c2d7658d46a523d6b703d2951f7","abstract_canon_sha256":"caedfeef10b405a4a0404b153dc5569f622dc99a82565d281781b8fd51dec66c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:16.030473Z","signature_b64":"fMA3+UjgXi+R7rvR7lFznuJEk6ZMS215vfYnYXVFm+tmJmx7w8hMPHa6Wylmsg/DOdkXWbmQPfZJiQravSr1Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"071824cf6a97cc3b78c5af18c1bca8cde3f97d4f1e9c562ef33f81f2aa132e82","last_reissued_at":"2026-05-18T01:09:16.029923Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:16.029923Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Instanton Numbers and Exchange Symmetries in $N=2$ Dual String Pairs","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Dieter L\\\"ust, Gabriel Lopes Cardoso, Gottfried Curio, Thomas Mohaupt","submitted_at":"1996-03-15T18:37:15Z","abstract_excerpt":"In this note, we comment on Calabi-Yau spaces with Hodge numbers $h_{1,1}=3$ and $h_{2,1}=243$. We focus on the Calabi-Yau space $WP_{1,1,2,8,12}(24)$ and show how some of its instanton numbers are related to coefficients of certain modular forms. We also comment on the relation of four dimensional exchange symmetries in certain $N=2$ dual models to six dimensional heterotic/heterotic string duality."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9603108","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/9603108","created_at":"2026-05-18T01:09:16.030025+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9603108v2","created_at":"2026-05-18T01:09:16.030025+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9603108","created_at":"2026-05-18T01:09:16.030025+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/A4MCJT3KS7GDW6GFV4MMDPFIZX","json":"https://pith.science/pith/A4MCJT3KS7GDW6GFV4MMDPFIZX.json","graph_json":"https://pith.science/api/pith-number/A4MCJT3KS7GDW6GFV4MMDPFIZX/graph.json","events_json":"https://pith.science/api/pith-number/A4MCJT3KS7GDW6GFV4MMDPFIZX/events.json","paper":"https://pith.science/paper/A4MCJT3K"},"agent_actions":{"view_html":"https://pith.science/pith/A4MCJT3KS7GDW6GFV4MMDPFIZX","download_json":"https://pith.science/pith/A4MCJT3KS7GDW6GFV4MMDPFIZX.json","view_paper":"https://pith.science/paper/A4MCJT3K","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/9603108&json=true","fetch_graph":"https://pith.science/api/pith-number/A4MCJT3KS7GDW6GFV4MMDPFIZX/graph.json","fetch_events":"https://pith.science/api/pith-number/A4MCJT3KS7GDW6GFV4MMDPFIZX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/A4MCJT3KS7GDW6GFV4MMDPFIZX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/A4MCJT3KS7GDW6GFV4MMDPFIZX/action/storage_attestation","attest_author":"https://pith.science/pith/A4MCJT3KS7GDW6GFV4MMDPFIZX/action/author_attestation","sign_citation":"https://pith.science/pith/A4MCJT3KS7GDW6GFV4MMDPFIZX/action/citation_signature","submit_replication":"https://pith.science/pith/A4MCJT3KS7GDW6GFV4MMDPFIZX/action/replication_record"}},"created_at":"2026-05-18T01:09:16.030025+00:00","updated_at":"2026-05-18T01:09:16.030025+00:00"}