  The average density of states (DoS) of the one-dimensional Dirac Hamiltonian
with a random mass on a finite interval [0,L] is derived. Our method relies on
the eigenvalues distributions (extreme value statistics problem) which are
explicitly obtained. The well-known Dyson singularity
<rho(epsilon;L)>\sim-L/|epsilon|ln^3|\epsilon| is recovered above the crossover
energy epsilon_c\sim exp-sqrt{L}. Below epsilon_c we find a log-normal
suppression of the average DoS <rho(epsilon;L)> \sim
1/(|epsilon|sqrt(L))exp(-(ln^2|epsilon|)/L).
