In the first part of the talk I will describe what happens when we construct, at least formally, the “variation of BPS structure” starting from DT invariants which are no longer torsion, but framed, i.e. Pandharipande-Thomas stable pairs. The Gromov-Witten partition function reappears in a different limit. In the second part of the talk I will go back to torsion invariants and explain how the corresponding “variation of BPS structure” can be described in terms of much more familiar differential equations of hypergeometric type. Based on arXiv:1705.08820 and arXiv:1712.01221.