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The average density of states (DoS) of the one-dimensional Dirac Hamiltonianwith a random mass on a finite interval [0,L] is derived. Our method relies onthe eigenvalues distributions (extreme value statistics problem) which areexplicitly obtained. The well-known Dyson singularity<rho(epsilon;L)>\sim-L/|epsilon|ln^3|\epsilon| is recovered above the crossoverenergy epsilon_c\sim exp-sqrt{L}. Below epsilon_c we find a log-normalsuppression of the average DoS <rho(epsilon;L)> \sim1/(|epsilon|sqrt(L))exp(-(ln^2|epsilon|)/L).

Effect of boundaries on the spectrum of a one-dimensional random mass Dirac Hamiltonian