### A computation of positive one-peak posets that are Tits-sincere

A complete list of positive Tits-sincere one-peak posets is provided by applying combinatorial algorithms and computer calculations using Maple and Python. The problem whether any square integer matrix $A\in \u2099\left(\mathbb{Z}\right)$ is ℤ-congruent to its transpose ${A}^{tr}$ is also discussed. An affirmative answer is given for the incidence matrices ${C}_{I}$ and the Tits matrices $C{\u0302}_{I}$ of positive one-peak posets I.