Comparison of resolution effects on PINOCCHIO predictions for halo bias, b(k) (left) and shot-noise correction, α(k) (right). We show the ratio between high-resolution (HR; 100 C0 simulations) and low-resolution (LR; 20 simulations) results at redshifts z∈{0.0, 0.5, 1.0, 2.0} for two mass thresholds: M_cut = 10¹⁴ M_⊙ h⁻¹ (solid) and M_cut = 3×10¹⁴ M_⊙ h⁻¹ (dashed). While bias differences remain below 2 percent for z≤1.0, reaching 5 percent at z = 2 (the larger mass cut case is omitted for z = 2 due to noise), the shot-noise corrections converge within 10 percent for z≤1 but show 30 percent deviations at z = 2.