Viridis Methods Digest — 2026-W41

Viridis Methods Digest — 2026-W41 logical validity given the model, not empirical validation of its assumptions Reviewed scoped notes Run-125 — foundation basis INDEPENDENT: shared_channel_inverse [SUBSTANTIVE; CERTIFIED_WITNESS: witness_shared_channel_inverse]; directional_gain_bounds [SUBSTANTIVE; CERTIFIED_WITNESS: witness_directional_gain_aligned]; rank_deficient_unit_gain [SUBSTANTIVE; CERTIFIED_WITNESS: witness_rank_deficient_unit_gain]; worstcase_deadline [SUBSTANTIVE; CERTIFIED_WITNESS: witness_worstcase_deadline]; top_subspace_mean_cost [SUBSTANTIVE; CERTIFIED_WITNESS: witness_top_subspace_mean_cost]; isotropic_rank_fraction [SUBSTANTIVE; CERTIFIED_WITNESS: witness_isotropic_rank_fraction] Run-126 — foundation basis INDEPENDENT: mutual_information_chain_balance [SUBSTANTIVE; CERTIFIED_WITNESS: mutual_information_chain_balance_nonvacuity]; forbidden_proxy_capacity_ceiling [SUBSTANTIVE; CERTIFIED_WITNESS: forbidden_proxy_capacity_ceiling_nonvacuity]; capacity_ceiling_slack_decomposition [SUBSTANTIVE; CERTIFIED_WITNESS: capacity_ceiling_slack_decomposition_nonvacuity]; perfect_invariance_target_proxy_collapse [SUBSTANTIVE; CERTIFIED_WITNESS: perfect_invariance_target_proxy_collapse_nonvacuity]; erasure_family_tightness [SUBSTANTIVE; CERTIFIED_WITNESS: erasure_family_tightness_nonvacuity] Run-128 — foundation basis INDEPENDENT: bilateral_benefit_iff_reciprocity_corridor [SUBSTANTIVE; CERTIFIED_WITNESS: witness_C1_benefit]; strict_corridor_nonempty_iff_product_condition [SUBSTANTIVE; CERTIFIED_WITNESS: witness_C2_corridor_nonempty]; share_coordinate_corridor_equivalence [SUBSTANTIVE; CERTIFIED_WITNESS: witness_C3]; nash_midpoint_unique_maximizer [SUBSTANTIVE; CERTIFIED_WITNESS: witness_C4]; bandwidth_scaling_cannot_restore_feasibility [SUBSTANTIVE; CERTIFIED_WITNESS: witness_C4] Run-129 — foundation basis INDEPENDENT: anytime_change_mixture_martingale [SUBSTANTIVE; CERTIFIED_WITNESS: c12_nonvacuous]; anytime_change_ville_certificate [SUBSTANTIVE; CERTIFIED_WITNESS: c2_sup_nonvacuous]; change_component_dominance_and_penalty [SUBSTANTIVE; CERTIFIED_WITNESS: c3_nonvacuous]; bounded_overshoot_expected_delay [SUBSTANTIVE; CERTIFIED_WITNESS: c4_nonvacuous] Run-131 — foundation basis INDEPENDENT: threshold_order [ROUTINE; CERTIFIED_WITNESS: cshc_nonvacuous]; band_width_identity [ROUTINE; CERTIFIED_WITNESS: cshc_nonvacuous]; closed_loop_area_identity [SUBSTANTIVE; CERTIFIED_WITNESS: cshc_nonvacuous]; bias_translation [SUBSTANTIVE; CERTIFIED_WITNESS: cshc_nonvacuous]; directional_cost_recovery [SUBSTANTIVE; CERTIFIED_WITNESS: cshc_nonvacuous] Run-134 — foundation basis INDEPENDENT: response_objective_completion [ROUTINE; CERTIFIED_WITNESS: alignment_certificate_nonvacuous]; alignment_gap_identity [ROUTINE; CERTIFIED_WITNESS: alignment_certificate_nonvacuous]; kantorovich_cross_multiplied_identity [ROUTINE; CERTIFIED_WITNESS: alignment_certificate_nonvacuous]; alignment_bound_nonnegative [ROUTINE; CERTIFIED_WITNESS: alignment_certificate_nonvacuous]; alignment_certificate_nonvacuous [ROUTINE; CERTIFIED_WITNESS: alignment_certificate_nonvacuous] Run-141 — foundation basis INDEPENDENT: slow_rate_characterization [SUBSTANTIVE; CERTIFIED_WITNESS: symbiotic_equalization_nonvacuous]; slow_rate_lower_min [SUBSTANTIVE; CERTIFIED_WITNESS: symbiotic_equalization_nonvacuous]; slow_rate_upper_mean [SUBSTANTIVE; CERTIFIED_WITNESS: symbiotic_equalization_nonvacuous]; slow_rate_monotone [SUBSTANTIVE; CERTIFIED_WITNESS: symbiotic_equalization_nonvacuous]; equal_rates_no_gain [SUBSTANTIVE; CERTIFIED_WITNESS: symbiotic_equalization_nonvacuous]; finite_asymmetry_strict_mean [SUBSTANTIVE; CERTIFIED_WITNESS: symbiotic_equalization_nonvacuous]; symbiotic_equalization_nonvacuous [SUBSTANTIVE; CERTIFIED_WITNESS: symbiotic_equalization_nonvacuous] Every archived historical claim outside the listed exact note scopes is UNCERTIFIED. This digest creates no aggregate theorem or empirical validation. Appendix results do not count toward certified-result headlines.