{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:2QLGD4FXDAUU6QIHJL7RICD2AG","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":"d2af6f23c29108bf3b2af49f531e50f7eebade1232a15802964ec69190d577d8","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-06-18T20:01:26Z","title_canon_sha256":"b2a366d44f76a7b76db41cca4aa436df07188e6d625b94d79b4a5d7edf4d2648"},"schema_version":"1.0","source":{"id":"1406.4873","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.4873","created_at":"2026-05-18T01:37:02Z"},{"alias_kind":"arxiv_version","alias_value":"1406.4873v3","created_at":"2026-05-18T01:37:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.4873","created_at":"2026-05-18T01:37:02Z"},{"alias_kind":"pith_short_12","alias_value":"2QLGD4FXDAUU","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"2QLGD4FXDAUU6QIH","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"2QLGD4FX","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:e85494fc30c9b33dc8f0c0cea944aff8f81065b0aa571e25e6a40c72ee9cd3c5","target":"graph","created_at":"2026-05-18T01:37:02Z","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 construct non-geometric compactifications by using the F-theory dual of the heterotic string compactified on a two-torus, together with a close connection between Siegel modular forms of genus two and the equations of certain K3 surfaces. The modular group mixes together the K\\\"ahler, complex structure, and Wilson line moduli of the torus yielding weakly coupled heterotic string compactifications which have no large radius interpretation.","authors_text":"Andreas Malmendier, David R. Morrison","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-06-18T20:01:26Z","title":"K3 surfaces, modular forms, and non-geometric heterotic compactifications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.4873","kind":"arxiv","version":3},"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:a27e10f2a946a1c2b596ed4f0209154a87300abe710c084212d07cdf9b7537ca","target":"record","created_at":"2026-05-18T01:37:02Z","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":"d2af6f23c29108bf3b2af49f531e50f7eebade1232a15802964ec69190d577d8","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-06-18T20:01:26Z","title_canon_sha256":"b2a366d44f76a7b76db41cca4aa436df07188e6d625b94d79b4a5d7edf4d2648"},"schema_version":"1.0","source":{"id":"1406.4873","kind":"arxiv","version":3}},"canonical_sha256":"d41661f0b718294f41074aff14087a01a0cb530199ea04c30e0ce261be7e8317","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d41661f0b718294f41074aff14087a01a0cb530199ea04c30e0ce261be7e8317","first_computed_at":"2026-05-18T01:37:02.286965Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:37:02.286965Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UHHEBiD3pMrW1mparMxeA6/03S9XoB7wuTr+Z1JPgP98Zl59LALNj+dKvMT2Unic45pzDnpf1jEF6YBC0EP+Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:37:02.287509Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.4873","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a27e10f2a946a1c2b596ed4f0209154a87300abe710c084212d07cdf9b7537ca","sha256:e85494fc30c9b33dc8f0c0cea944aff8f81065b0aa571e25e6a40c72ee9cd3c5"],"state_sha256":"33852a886ab066da7867ee12a3507779ed75630b9a74f5647ceee7c8f9bf3fd2"}