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We show a smoothing effect of near full derivative for low-regularityglobal-in-time solutions of the periodic Korteweg-de Vries (KdV) equation. Thesmoothing is given by slightly shifting the space-time Fourier support of thenonlinear solution, which we call \emph{resonant phase-shift}. More precisely,we show that $[\mathcal{S}u](t) - e^{-t\partial_x^3} u(0) \in H^{-s+1-}$ where$u(0) \in H^{-s}$ for $0\leq s <1/2$ where $\mathcal{S}$ is the resonantphase-shift operator described below. We use the normal form method to obtainthe result.

Resonant phase-shift and global smoothing of the periodic Korteweg-de Vries in low regularity settings