Go to this
Link >>>>> and page down to the bottom of the last chart. Note the hardness of Vanadium Carbide, Diamond and about the closest to the Vanadium Carbide in sharpening stone material is Silicon Carbide (note it isn't as hard as Vanadium Carbide).
And here is another link to sharpening high Vanadium Carbide edge tools.
Link>>>>>
And here is a very good thread Link >>>>
And finally drive yourself nuts trying to understand both sides of this one
Link >>>>
Keep in mind with this one though that whittling hair means it is sharp but the proof of the pudding is when one uses that sharp edge to cut challenging and somewhat abrasive materials. In my job I have to trim hard rubber that is in fact a kind of brake pad material.
If I sharpen a high Vanadium blade such as S110V on the Shapton Glass stones I get an edge that easily whittles hair but after a day or two the edge has gotten so degraded that I can not trim the edges of the material in a controlled way meaning the blade rises out of the cut and skips or when I angle the knife toward the material it digs in and stops rather than trims smoothly and consistently.
If I sharpen a high Vanadium blade such as S110V on the DMT diamond stones I get an edge that easily whittles hair and the edge looses that whittling ability in the first couple of days
BUT I can trim the edges of the material in a controlled way smoothly and consistently for weeks afterward.
This is a huge difference in the strength of the edge. I say strength because the trimming puts a side loading on the edge and the burnished matrix edge off the non diamond stones is weaker and doesn't hold up.
Some have done rope cutting tests and found coarse edges sharpened on non diamond stones to work well for rope. They have basically created a micro saw. I would like to see them do the hard rubber trimming that I have to do with that saw edge.
PS : be aware of the newest diamond stones that are more like water stones. They are called Resin Bonded Diamond stones and are the way to go now.