  The Toda lattice is an integrable system and its natural space-time
stationary states are the generalized Gibbs ensembles (GGE). Of particular
physical interest are then the space-time correlations of the conserved fields.
To leading order they scale ballistically. We report on the exact solution of
the respective generalized hydrodynamic equations linearized around a GGE as
background state. Thereby we obtain a concise formula for the family of scaling
functions.
