{ "metadata": { "date": "2026-03-10", "sprint": 1 }, "basin": { "n_valid": 8991, "mean_steps": 4.678678678678678, "max_steps": 7, "convergence_rate": 1.0 }, "corrected_test": { "kaprekar_fraction": 0.09693451072659316, "null_fraction": 0.0625, "enrichment": 1.5509521716254906, "z_stat": 29.79603585548622, "p_value": 0.0, "significant": true }, "verdict": "SIGNIFICANT BUT MUNDANE", "mechanism": "4/6=0.667 in 6174 (the attractor). All paths visit 6174 \u2014 enrichment reflects attractor digits, not deep geometric structure.", "6174_ratios_in_target": [ "4/6 = 0.6667 (= 2/3)" ], "genuine_open_questions": [ "Algebraic structure of Kaprekar map K:N->N", "Why no 5-digit fixed point?", "Mod-9 invariance: elegant, worth formalizing", "Basin boundary geometry in digit space" ] }