The only way to tell whether it has truly rooted is to remove it from the perlite. Is it still in 100% perlite? Your stem is badly dehydrated and that is due to either no rooting or lack of moisture for the roots. Let us know what you find when you remove the plant. If there are roots (heck, I will re-pot mine in potting soil with 3-4 short, stuby roots, but with few roots, I simply water it sparingly) get it into regular soil. Leaf growth will be the tip-off that everything is going well. Without leaf-growth, something's not right.
