A curvature compensated bandgap circuit that is capable of matching best-in-class two (2) parts-per-million performance without over-temperature trimming. This improves performance metrics for precision voltage reference products without requiring individual device tuning during production thereof. A core bandgap circuit comprises a main operational amplifier having a second order bowed voltage response over temperature. A ptat circuit is coupled to the core bandgap circuit to provide a sigmoidal third order shape for the bandgap voltage.