But it is overkill, hence my reply. What "bragging rights" does carrying a pocket knife finished with a 30k stone give you?
EDIT: To answer the OP, 16k is an incredible degree of refinement really only suitable for special applications, for example finishing a straight razor. The reason why is because that degree of refinement leaves a very smooth, "glass" edge that will glide over soapy skin and push right through whiskers like butter. A coarser, toothier finish can irritate the skin, hence the reason why professional honemeisters go so high.
But for a pocket knife? What would you do that would warrant that? I think anyone who does it for "bragging rights" should reevaluate the people he is hanging out with.
Think about what you use your pocket knife for, and you may find that you'd actually benefit from a somewhat toothier, coarser edge for things like cutting zip ties, breaking down boxes, slicing errant strings, etc., etc. I'd say 2k or even 1k, followed by stropping, is probably good.