Connelly–Whiteley vertex-splitting conjecture for 3-circuits and global rigidity

Consider a vertex splitting in a three-dimensional framework, with both the added vertex and the split vertex at least $4$-valent. Connelly–Whiteley vertex-splitting conjecture. Such a vertex splitting preserves the generic rigidity of $3$-circuits and preserves global rigidity in $3$-space. The source presents this as an open direction following the established two-dimensional analogue.