We report the first measurement of the T-odd moments in the decay D0→K0Sπ+π−π0 from a data sample corresponding to an integrated luminosity of 966 fb−1 collected by the Belle experiment at the KEKB asymmetric-energy e+e− collider. From these moments we determine the CP-violation-sensitive asymmetry aT-oddCP=[−0.28±1.38(stat.)+0.23−0.76(syst.)]×10−3, which is consistent with no CP violation. In addition, we perform aT−oddCP measurements in different regions of the D0→K0Sπ+π−π0 phase space; these are also consistent with no CP violation
