Gukov–Pei–Putrov–Vafa radial limit conjecture for negative definite plumbed manifolds

Let $M$ be a negative definite plumbed manifold in the situation described in the source, with GPPV invariants $\widehat{Z}_b(q;M)$ indexed by $b\in\Spin^c(M)/\{\pm1\}$. Let $Z_k(M)$ be the normalized $\SU(2)$ WRT invariant, let $\operatorname{lk}$ be the linking form, and let $W$ be the plumbing matrix. Define

$$S_{ab}=\frac{1}{2(\zeta_{2k}-\zeta_{2k}^{-1})\sqrt{|\det W|}}e^{-2\pi\iu\transpose{a}W^{-1}b}.$$

Gukov–Pei–Putrov–Vafa conjecture. In the above situation,

$$Z_k(M)=\sum_{a,b\in\Spin^c(M)/\{\pm1\}}e^{2\pi\iu k\operatorname{lk}(a,a)}S_{ab}\lim_{q\to\zeta_k}\widehat{Z}_b(q;M).$$

This is presented as a refinement of the general radial limit conjecture for negative definite plumbed manifolds. The source attributes it to Gukov–Pei–Putrov–Vafa; its resolution status is not specified here.