{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:EJGYYSGL72B4B45HQTA5DJLEK5","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":"b99c25d1be26f56d1b71803b4481c7e43f28bbfc8652546796a8ccf136dd01fd","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2008-09-04T15:03:12Z","title_canon_sha256":"f94a6d71463d5f7db05f86a710f133f851c651898ff33066f14844f68206468a"},"schema_version":"1.0","source":{"id":"0809.0830","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0809.0830","created_at":"2026-05-18T03:30:03Z"},{"alias_kind":"arxiv_version","alias_value":"0809.0830v4","created_at":"2026-05-18T03:30:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0809.0830","created_at":"2026-05-18T03:30:03Z"},{"alias_kind":"pith_short_12","alias_value":"EJGYYSGL72B4","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"EJGYYSGL72B4B45H","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"EJGYYSGL","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:e2b79d15474299ad823ef7644eae39d6dbca3dba6d92a23b7abc51a6046c00a8","target":"graph","created_at":"2026-05-18T03:30:03Z","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":"For every known Hecke eigenform of weight 3 with rational eigenvalues we exhibit a K3 surface over QQ associated to the form. This answers a question asked independently by Mazur and van Straten. The proof builds on a classification of CM forms by the second author.","authors_text":"Matthias Schuett, Noam D. Elkies","cross_cats":["math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2008-09-04T15:03:12Z","title":"Modular forms and K3 surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0809.0830","kind":"arxiv","version":4},"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:fba00b0dff4372c43b91f90e75de4d3cf701ca3594806caec36feb8bc32aa06c","target":"record","created_at":"2026-05-18T03:30:03Z","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":"b99c25d1be26f56d1b71803b4481c7e43f28bbfc8652546796a8ccf136dd01fd","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2008-09-04T15:03:12Z","title_canon_sha256":"f94a6d71463d5f7db05f86a710f133f851c651898ff33066f14844f68206468a"},"schema_version":"1.0","source":{"id":"0809.0830","kind":"arxiv","version":4}},"canonical_sha256":"224d8c48cbfe83c0f3a784c1d1a56457783e860518a3ebc34013336593638ebe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"224d8c48cbfe83c0f3a784c1d1a56457783e860518a3ebc34013336593638ebe","first_computed_at":"2026-05-18T03:30:03.349783Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:30:03.349783Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"esNjmplD3COBgLH255npVvl7idQWthkf62umqWQq/UzBkZrODNy+ELahQipfmrxClOGTQYD3PLMsnRZA6fz0CA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:30:03.350660Z","signed_message":"canonical_sha256_bytes"},"source_id":"0809.0830","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fba00b0dff4372c43b91f90e75de4d3cf701ca3594806caec36feb8bc32aa06c","sha256:e2b79d15474299ad823ef7644eae39d6dbca3dba6d92a23b7abc51a6046c00a8"],"state_sha256":"707835bd0df0f4ca66c4a7755b66cc20edc4888e3d354878bdf3355da0893294"}