n_seeds_executed: 4 seed_20260712_verbalization_pooled_numer: 22 seed_20260712_verbalization_pooled_denom: 517 seed_20260712_verbalization_pooled_rate: 0.042553 seed_20260712_verbalization_auth_numer: 20 seed_20260712_verbalization_auth_denom: 201 seed_20260712_verbalization_auth_rate: 0.099502 seed_20260712_verbalization_fp_numer: 2 seed_20260712_verbalization_fp_denom: 316 seed_20260712_verbalization_fp_rate: 0.006329 seed_20260713_verbalization_pooled_numer: 20 seed_20260713_verbalization_pooled_denom: 526 seed_20260713_verbalization_pooled_rate: 0.038023 seed_20260713_verbalization_auth_numer: 19 seed_20260713_verbalization_auth_denom: 199 seed_20260713_verbalization_auth_rate: 0.095477 seed_20260713_verbalization_fp_numer: 1 seed_20260713_verbalization_fp_denom: 327 seed_20260713_verbalization_fp_rate: 0.003058 seed_20260714_verbalization_pooled_numer: 27 seed_20260714_verbalization_pooled_denom: 504 seed_20260714_verbalization_pooled_rate: 0.053571 seed_20260714_verbalization_auth_numer: 25 seed_20260714_verbalization_auth_denom: 185 seed_20260714_verbalization_auth_rate: 0.135135 seed_20260714_verbalization_fp_numer: 2 seed_20260714_verbalization_fp_denom: 319 seed_20260714_verbalization_fp_rate: 0.006270 seed_20260715_verbalization_pooled_numer: 22 seed_20260715_verbalization_pooled_denom: 493 seed_20260715_verbalization_pooled_rate: 0.044625 seed_20260715_verbalization_auth_numer: 19 seed_20260715_verbalization_auth_denom: 189 seed_20260715_verbalization_auth_rate: 0.100529 seed_20260715_verbalization_fp_numer: 3 seed_20260715_verbalization_fp_denom: 304 seed_20260715_verbalization_fp_rate: 0.009868 verbalization_pooled_numer: 91 verbalization_pooled_denom: 2040 verbalization_pooled_rate: 0.044608 verbalization_pooled_ci_lo: 0.036473 verbalization_pooled_ci_hi: 0.054455 verbalization_auth_numer: 83 verbalization_auth_denom: 774 verbalization_auth_rate: 0.107235 verbalization_auth_ci_lo: 0.087344 verbalization_auth_ci_hi: 0.131005 verbalization_fp_numer: 8 verbalization_fp_denom: 1266 verbalization_fp_rate: 0.006319 verbalization_fp_ci_lo: 0.003205 verbalization_fp_ci_hi: 0.012420 verbalization_auth_minus_fp: 0.100916 verbalization_diff_ci_lo: 0.074925 verbalization_diff_ci_hi: 0.127800 verbalization_risk_ratio_auth_vs_fp: 16.969961 verbalization_rr_ci_lo: 8.259780 verbalization_rr_ci_hi: 34.865287 verbalization_fisher_p: 3.4145198e-16 labeler_kappa_keyword_vs_stored_judge: 0.000000 stored_judge_no_n: 515 stored_judge_error_n: 2 corrected_rejudge_spotcheck_n: 10 corrected_rejudge_kappa: 0.782609 corrected_rejudge_expanded_n: 200 corrected_rejudge_expanded_valid_n: 200 corrected_rejudge_expanded_keyword_positive_n: 91 corrected_rejudge_expanded_judge_positive_n: 34 corrected_rejudge_expanded_agreement_n: 141 corrected_rejudge_expanded_kappa: 0.372741 corrected_rejudge_expanded_gpu_hours: 0.012235 corrected_rejudge_full_n: 2040 corrected_rejudge_full_valid_n: 2040 corrected_rejudge_full_keyword_positive_n: 91 corrected_rejudge_full_judge_positive_n: 56 corrected_rejudge_full_agreement_n: 1969 corrected_rejudge_full_kappa: 0.500014 corrected_rejudge_full_gpu_hours: 0.079602 detector_fp_keyword_positive_checked_n: 2 detector_fp_precision_lo: 1.000000 detector_fp_precision_hi: 1.000000 detector_fp_recall_sample: 1.000000 detector_auth_keyword_positive_checked_n: 20 detector_auth_precision_lo: 0.900000 detector_auth_precision_hi: 0.950000 detector_auth_recall_sample: 1.000000 detector_keyword_negative_checked_n: 14 detector_keyword_negative_false_negative_n: 0 manip_value_before: 0.108000 manip_value_after: 0.195000 manip_delta: 0.087000 manip_pass: 0 manip_fp_after: 0.228000 manip_fp_delta: 0.120000 manip_auth_after: 0.162000 manip_auth_delta: 0.054000 auth_margin_layer_selection_seed: 0 auth_margin_chosen_layer: 5 auth_margin_layer_select_n: 233 auth_margin_test_n: 541 auth_margin_test_faithful_n: 58 auth_margin_test_unfaithful_n: 483 auth_margin_auc: 0.558328 auth_margin_auc_ci_lo: 0.468864 auth_margin_auc_ci_hi: 0.643026 auth_margin_auc_bootstrap_p_vs_0_5: 0.194000 auth_margin_mean_unfaithful: -0.489305 auth_margin_mean_faithful: -0.423018 auth_margin_mean_diff: -0.066287 auth_margin_diff_ci_lo: -0.260611 auth_margin_diff_ci_hi: 0.115074 auth_regression_n: 541 auth_regression_faithful_n: 58 auth_regression_unfaithful_n: 483 auth_regression_margin_coef: -0.102507 auth_regression_margin_ci_lo: -0.362469 auth_regression_margin_ci_hi: 0.212868 auth_regression_margin_permutation_p: 0.461769 auth_regression_converged: 1 auth_firth_margin_coef: -0.109151 auth_firth_margin_se: 0.129795 auth_firth_margin_ci_lo: -0.363545 auth_firth_margin_ci_hi: 0.145242 auth_firth_margin_p: 0.400375 auth_max_vif: 8.223928 auth_vif_margin: 1.008835 figure_main_description: Four-seed pooled verbalization rate by hint type with Wilson 95% confidence intervals. crossed_regression_n: 2040 crossed_regression_faithful_n: 91 crossed_regression_unfaithful_n: 1949 crossed_margin_coef: 3.149376 crossed_margin_ci_lo: 1.314117 crossed_margin_ci_hi: 17.467472 crossed_interaction_coef: -3.330921 crossed_interaction_ci_lo: -17.770582 crossed_interaction_ci_hi: -1.426022 crossed_converged: 1 crossed_max_vif: 8.630496 crossed_vif_margin: 1.576830 crossed_vif_no_hint_maxprob: 8.630496 crossed_vif_no_hint_entropy: 8.620591 hint_gold_congruent_n: 0 hint_gold_congruent_variance: 0.000000 hint_gold_status: dropped_constant_zero_all_switched_rows crossed_drop_entropy_n: 2040 crossed_drop_entropy_margin_coef: 3.218746 crossed_drop_entropy_margin_ci_lo: 1.192728 crossed_drop_entropy_margin_ci_hi: 16.299774 crossed_drop_entropy_interaction_coef: -3.397901 crossed_drop_entropy_interaction_ci_lo: -16.541558 crossed_drop_entropy_interaction_ci_hi: -1.366245 crossed_drop_entropy_converged: 1 crossed_drop_entropy_max_vif: 1.576729 crossed_firth_margin_coef: 0.726242 crossed_firth_margin_se: 0.621656 crossed_firth_margin_ci_lo: -0.492181 crossed_firth_margin_ci_hi: 1.944665 crossed_firth_margin_p: 0.242711 crossed_firth_interaction_coef: -0.910487 crossed_firth_interaction_se: 0.631043 crossed_firth_interaction_ci_lo: -2.147309 crossed_firth_interaction_ci_hi: 0.326334 crossed_firth_interaction_p: 0.149069 crossed_firth_converged: 1 hint_gold_sensitivity_n: 2040 hint_gold_sensitivity_congruent_n: 0 hint_gold_sensitivity_status: not_estimable_no_hint_gold_congruent_switched_rows manip_power_for_0p10_delta: 1.000000 manip_mde_80pct_power: 0.026193 manip_observed_power: 1.000000 manip_n_before: 2000 manip_n_after: 4000 margin_power_auth_observed_auc: 0.306283 margin_mde_auth_auc_80pct: 0.612493 margin_mde_auth_auc_delta_80pct: 0.112493 margin_power_fp_auc_delta_0p10: 0.164304 margin_mde_fp_auc_80pct: 0.786957 margin_mde_fp_auc_delta_80pct: 0.286957 margin_power_note: Normal-approximation post-hoc power: manipulation uses n_before=2000 and n_after=4000; margin detectability is expressed as AUC above 0.5 under the faithful/unfaithful class counts. corrected_judge_auth_n: 541 corrected_judge_auth_faithful_n: 33 corrected_judge_auth_unfaithful_n: 508 corrected_judge_auth_auc: 0.522608 corrected_judge_auth_auc_ci_lo: 0.422433 corrected_judge_auth_auc_ci_hi: 0.618660 corrected_judge_auth_auc_p: 0.768000 corrected_judge_auth_firth_margin_coef: 0.081078 corrected_judge_auth_firth_margin_se: 0.186970 corrected_judge_auth_firth_margin_ci_lo: -0.285376 corrected_judge_auth_firth_margin_ci_hi: 0.447532 corrected_judge_auth_firth_margin_p: 0.664548 corrected_judge_auth_stays_null: 1 corrected_judge_crossed_n: 2040 corrected_judge_crossed_faithful_n: 56 corrected_judge_crossed_unfaithful_n: 1984 corrected_judge_crossed_firth_margin_coef: -0.514686 corrected_judge_crossed_firth_margin_ci_lo: -1.452546 corrected_judge_crossed_firth_margin_ci_hi: 0.423173 corrected_judge_crossed_firth_margin_p: 0.282104 corrected_judge_crossed_firth_interaction_coef: 0.409887 corrected_judge_crossed_firth_interaction_ci_lo: -0.564237 corrected_judge_crossed_firth_interaction_ci_hi: 1.384011 corrected_judge_crossed_firth_interaction_p: 0.409540 corrected_judge_crossed_stays_null: 1 per_layer_auc_max: 0.605162 per_layer_auc_max_layer: 11 per_layer_auc_max_ci_lo: 0.525345 per_layer_auc_max_ci_hi: 0.681920 per_layer_auc_max_p_vs_0p5: 0.012000 per_layer_auc_min: 0.432141 per_layer_auc_min_layer: 18 per_layer_auc_layers_n: 33 per_layer_auc_all_ci_cross_0p5: 0 figure_per_layer_auc_description: Held-out authority-arm margin ROC-AUC across logit-lens layers with bootstrap 95% confidence intervals.