{"module": "T1", "severity": "CRITICAL", "claim": "K=1: Spearman \u03c1=-0.846 (n=12), lower distinct_ratio\u2192higher KL CONFIRMED \u2014 Sidon structure predicts SLOS concentration ordering", "verdict": "PASS", "details": {"k": 1, "spearman_rho": -0.846, "n": 12}}
{"module": "T1", "severity": "CRITICAL", "claim": "K=1: SLOS vs tensor \u03c1=-0.944 (n=12), METHODS AGREE on ordering", "verdict": "PASS", "details": {"k": 1, "spearman_rho_tensor_vs_slos": -0.5315, "spearman_rho_tensor_ratio_vs_slos_kl": -0.9441, "n": 12}}
{"module": "T1", "severity": "CRITICAL", "claim": "K=2: Spearman \u03c1=-0.880 (n=12), lower distinct_ratio\u2192higher KL CONFIRMED \u2014 Sidon structure predicts SLOS concentration ordering", "verdict": "PASS", "details": {"k": 2, "spearman_rho": -0.8795, "n": 12}}
{"module": "T1", "severity": "CRITICAL", "claim": "K=2: SLOS vs tensor \u03c1=-0.937 (n=12), METHODS AGREE on ordering", "verdict": "PASS", "details": {"k": 2, "spearman_rho_tensor_vs_slos": -0.5035, "spearman_rho_tensor_ratio_vs_slos_kl": -0.9371, "n": 12}}
{"module": "T1", "severity": "CRITICAL", "claim": "K=3: Spearman \u03c1=-0.930 (n=12), lower distinct_ratio\u2192higher KL CONFIRMED \u2014 Sidon structure predicts SLOS concentration ordering", "verdict": "PASS", "details": {"k": 3, "spearman_rho": -0.9298, "n": 12}}
{"module": "T1", "severity": "CRITICAL", "claim": "K=3: SLOS vs tensor \u03c1=-0.979 (n=12), METHODS AGREE on ordering", "verdict": "PASS", "details": {"k": 3, "spearman_rho_tensor_vs_slos": -0.3077, "spearman_rho_tensor_ratio_vs_slos_kl": -0.979, "n": 12}}
{"module": "T1", "severity": "CRITICAL", "claim": "K=4: Spearman \u03c1=-0.930 (n=12), lower distinct_ratio\u2192higher KL CONFIRMED \u2014 Sidon structure predicts SLOS concentration ordering", "verdict": "PASS", "details": {"k": 4, "spearman_rho": -0.9298, "n": 12}}
{"module": "T1", "severity": "CRITICAL", "claim": "K=4: insufficient data for tensor vs SLOS", "verdict": "FAIL", "details": {"k": 4, "reason": "insufficient tensor results"}}