{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:D473FULKT66C7VVW3BK4TKDN7V","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":"b56331ee29f5394f222c348ef9ae8e07f4df38c9d5571306e2367da8f4d810b8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-04-06T22:23:37Z","title_canon_sha256":"e95b19522383a2cb3854088e08e220988ef2f7fd7609c6f1ce2a3ed37afa514c"},"schema_version":"1.0","source":{"id":"1204.1575","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.1575","created_at":"2026-05-18T03:58:23Z"},{"alias_kind":"arxiv_version","alias_value":"1204.1575v1","created_at":"2026-05-18T03:58:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.1575","created_at":"2026-05-18T03:58:23Z"},{"alias_kind":"pith_short_12","alias_value":"D473FULKT66C","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"D473FULKT66C7VVW","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"D473FULK","created_at":"2026-05-18T12:27:01Z"}],"graph_snapshots":[{"event_id":"sha256:eaeb6f389f533dbd1d4b487a6405dec5c71b9fdfeddb47a8113bf7dd23381178","target":"graph","created_at":"2026-05-18T03:58:23Z","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":"In examining the relationship between the number of points over $\\mathbb{F}_p$ on certain Calabi-Yau manifolds and hypergeometric series which correspond to a particular period of the manifold, Rodriguez-Villegas identified numerically 22 possible supercongruences. We prove one of the outstanding supercongruence conjectures between a special value of a truncated generalized hypergeometric series and the $p$-th Fourier coefficient of a modular form.","authors_text":"Dermot McCarthy","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-04-06T22:23:37Z","title":"On a supercongruence conjecture of Rodriguez-Villegas"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.1575","kind":"arxiv","version":1},"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":"sha256:721fea0760913f7a9b2958ee567b4bdc49f7b744cd72c6464cb633608977478a","target":"record","created_at":"2026-05-18T03:58:23Z","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":"b56331ee29f5394f222c348ef9ae8e07f4df38c9d5571306e2367da8f4d810b8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-04-06T22:23:37Z","title_canon_sha256":"e95b19522383a2cb3854088e08e220988ef2f7fd7609c6f1ce2a3ed37afa514c"},"schema_version":"1.0","source":{"id":"1204.1575","kind":"arxiv","version":1}},"canonical_sha256":"1f3fb2d16a9fbc2fd6b6d855c9a86dfd524f8b4cae6d7d890f984b87c309f392","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1f3fb2d16a9fbc2fd6b6d855c9a86dfd524f8b4cae6d7d890f984b87c309f392","first_computed_at":"2026-05-18T03:58:23.920611Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:58:23.920611Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hVh6dari90dbZRKcVAyAvFh1T09eOQu97Q/WOMkA9HJ3fwH2lyzSpe8Sgyem3OeGUy6Ea2goVxkE3uhWEm4GBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:58:23.921181Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.1575","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:721fea0760913f7a9b2958ee567b4bdc49f7b744cd72c6464cb633608977478a","sha256:eaeb6f389f533dbd1d4b487a6405dec5c71b9fdfeddb47a8113bf7dd23381178"],"state_sha256":"a17a11c0a836634a2ffd84166a23a7dda83635d9581ba57fe58fc3a49125b011"}