{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:7OJ5NLWWCHZOHLR53FL4THX2SS","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"81fe0b6f6ebe1ba2a7c94bc2b902ad31c666c213149a7b26cdd6b77e7b0c418f","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1998-07-08T17:13:33Z","title_canon_sha256":"d2cba4c46d3b3202a429bd519d4fbcb41ca22c07ceeaaaa309ac8bfda2c2458c"},"schema_version":"1.0","source":{"id":"hep-th/9807056","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9807056","created_at":"2026-05-18T00:35:53Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9807056v2","created_at":"2026-05-18T00:35:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9807056","created_at":"2026-05-18T00:35:53Z"},{"alias_kind":"pith_short_12","alias_value":"7OJ5NLWWCHZO","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"7OJ5NLWWCHZOHLR5","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"7OJ5NLWW","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:f4e41fbbda3854db25532c204332d8a31655f5f41ef2e92f8e10116dfc3ccd9f","target":"graph","created_at":"2026-05-18T00:35:53Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We consider attractor varieties arising in the construction of dyonic black holes in Calabi-Yau compactifications of IIB string theory. We show that the attractor varieties are constructed from products of elliptic curves with complex multiplication for $\\mathcal{N}=4,8$ compactifications. The heterotic dual theories are related to rational conformal field theories. The emergence of curves with complex multiplication suggests many interesting connections between arithmetic and string theory. This paper is a brief overview of a longer companion paper entitled ``Arithmetic and Attractors,'' hep-","authors_text":"Gregory Moore","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1998-07-08T17:13:33Z","title":"Attractors and Arithmetic"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9807056","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:18197da1727f2555d68d886f6725ce28cc2eb338f3a3f67512e3f6eec81b5907","target":"record","created_at":"2026-05-18T00:35:53Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"81fe0b6f6ebe1ba2a7c94bc2b902ad31c666c213149a7b26cdd6b77e7b0c418f","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1998-07-08T17:13:33Z","title_canon_sha256":"d2cba4c46d3b3202a429bd519d4fbcb41ca22c07ceeaaaa309ac8bfda2c2458c"},"schema_version":"1.0","source":{"id":"hep-th/9807056","kind":"arxiv","version":2}},"canonical_sha256":"fb93d6aed611f2e3ae3dd957c99efa948c690069cd56596d443c7217c83d7325","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fb93d6aed611f2e3ae3dd957c99efa948c690069cd56596d443c7217c83d7325","first_computed_at":"2026-05-18T00:35:53.880519Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:35:53.880519Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"x6FY9AXtFQ08XfxKQvWdkI4xaxPKFk3WqiXg1Oi606jmsFmnbgO3CfJpDeI6o+7ZNlB/XKNQ2fkdEAs0y+snBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:35:53.880982Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9807056","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:18197da1727f2555d68d886f6725ce28cc2eb338f3a3f67512e3f6eec81b5907","sha256:f4e41fbbda3854db25532c204332d8a31655f5f41ef2e92f8e10116dfc3ccd9f"],"state_sha256":"8ca122d39441246d5f750eb372cdcf016f66907c9ff3d533ad229af209a62730"}