Small Pythagorean triples modulo prime powers

Let $p>5$ be a fixed prime. We obtain an asymptotic formula related to small solutions of quadratic congruences of the form $x_1^2+x_2^2\equiv x_3^2\bmod{p^n}$where$\max{|x_1|,|x_2|,|x_3|}\le p^{\nu n}$with$\nu>1/2$.