  The Donaldson-Thomas invariant is a curve counting invariant on Calabi-Yau
3-folds via ideal sheaves. Another counting invariant via stable pairs is
introduced by Pandharipande and Thomas, which counts pairs of curves and
divisors on them. These two theories are conjecturally equivalent via
generating functions, called DT/PT correspondence. In this paper, we show the
Euler characteristic version of DT/PT correspondence, using the notion of weak
stability conditions and the wall-crossing formula.
