{"slug":"hodge-conjecture","name":"The Hodge Conjecture","statement":"On a nonsingular complex projective variety, every rational Hodge class is a rational combination of classes of algebraic cycles.","status":"open","node_count":1,"edge_count":0,"paper_edge_count":0,"composed_count":0,"novel_count":0,"sufficient_count":0,"last_run_at":"2026-08-12T17:30:24.280320+00:00","hubs":[],"last_run":{"started_at":"2026-08-12T17:30:24.280320+00:00","finished_at":"2026-08-12T17:30:24.302687+00:00","claims_scanned":0,"edges_added":0,"compositions":0,"novel_found":0}}