OP, whose asking a question about pitchforks, is telling the guy who created the concept of using a pitchfork to fuck off.
It's not normalizable so I went with an integer skew figure. The skew figure is normed and hitting a number results in a PF that is locally+ (strike touch) and it's much cleaner to run in excel, It also expresses an arb on a skew lock under static vol, but with a credit left tail that benefits from vol-corr as it's long vega. So if your model hits the figure both are profitable on a fixed curve, but the SL is long v so it will arb into the "risk." Prob is that you're a t*at so no soup for you!