  Once upon a time there was an esoteric and specialized notion, called "size
of the Durfee square", of interest to at most 100 specialists in the whole
world. Then it was kissed by a prince called Jorge Hirsch, and became the
famous (and to quite a few people, infamous) h-index, of interest to every
scientist, and scholar, since it tells you how productive a scientist (or
scholar) you are! When Rodney Canfield, Sylvie Corteel, and Carla Savage wrote
their beautiful 1998 article proving, rigorously, by a very deep and intricate
analysis, the asymptotic normality of the random variable "size of Durfee
square" defined on integer-partitions of n (as n goes to infinity), with
precise asymptotics for the mean and variance, they did not dream that one day
their result should be of interest to everyone who has ever published a paper.
  However Canfield et. al. had to work really hard to prove their deep result.
Here we take an "empirical" shortcut, that proves the same thing much faster
(modulo routine number- and symbol- crunching). More importantly, the empirical
methodology should be useful in many other cases where rigorous proofs are
either too hard, or not worth the trouble!
