I've been searching for about 2 years but have not found a source yet to re-sharpen the 1/16" carving bits. Mine seem to last about 3-5 months before I see curling edges along the cut edge of the wood. Usually my best signal that the edge is dulling. I commonly sharpen my own 60 and 90 degree bits on a diamond sharpening plate but I have not tried doing the same on the 1/16". Would be nice to find a method.
It seems like you'd only be dealing with about the first 2 or 3/32" where 90% of the cutting is really done so I guess I'll give it a try with some before and after cut lines. Open to any suggestions team.