We report a search for CP violation in the decay τ-→π-KS^0(≥0π^0)ντ using a data set of 437×10^6 τ-lepton pairs, corresponding to an integrated luminosity of 476 fb^(-1), collected with the BABAR detector at the PEP-II asymmetric-energy e^+e^- storage rings. The CP-violating decay-rate asymmetry is determined to be (-0.36±0.23±0.11)% approximately 2.8 standard deviations from the standard model prediction of (0.36±0.01)%
