  A method is explained through which a pointwise accurate approximation to the
pion's valence-quark distribution amplitude (PDA) may be obtained from a
limited number of moments. In connection with the single nontrivial moment
accessible in contemporary simulations of lattice-regularised quantum
chromodynamics (QCD), the method yields a PDA that is a broad concave function
whose pointwise form agrees with that predicted by Dyson-Schwinger equation
analyses of the pion. Under leading-order evolution, the PDA remains broad to
energy scales in excess of 100 GeV, a feature which signals persistence of the
influence of dynamical chiral symmetry breaking. Consequently, the asymptotic
distribution, \phi_\pi^asy(x), is a poor approximation to the pion's PDA at all
such scales that are either currently accessible or foreseeable in experiments
on pion elastic and transition form factors. Thus, related expectations based
on \phi_\pi^asy(x) should be revised.
