Especially for Cusp, I note the following (proof left for undergraduates):
(Convex h-index conjecture) For n chronologically distinct papers, each of which cites all previous papers, the corresponding h-index is the number of non-congruent diagonals in a regular polygon with number of sides 2 greater than n.
As a corollary, academics engaging in such cheeky behaviour may be indexed with the dimension of their corresponding polygon.
Letters to Nature 