Magnitude's conjecture for intrinsic volumes of convex Euclidean sets

Let $A$ be a compact convex subspace of $\ell_2^N$. For $0\leq i\leq N$, let $V_i(A)$ denote its $i$-th intrinsic volume, and let $\omega_i$ be the volume of the Euclidean unit ball in $\mathbb{R}^i$. The magnitude–intrinsic-volume conjecture.

$$|A|=\sum_{i=0}^N\frac{1}{i!\omega_i}V_i(A).$$

This conjecture predicts that the magnitude of every compact convex Euclidean set is determined by all of its intrinsic volumes, generalizing the exact formulas known in low-dimensional and special cases. Its general validity remains open.