@misc{mannella2012dependence,
  abstract = {The time dependence of the $h$-index is analyzed by considering the average
behaviour of $h$ as a function of the academic age $A_A$ for about 1400 Italian
physicists, with career lengths spanning from 3 to 46 years. The individual
$h$-index is strongly correlated with the square root of the total citations
$N_C$: $h \approx 0.53 \sqrt{N_C}$. For academic ages ranging from 12 to 24
years, the distribution of the time scaled index $h/\sqrt{A_A}$ is
approximately time-independent and it is well described by the Gompertz
function. The time scaled index $h/\sqrt{A_A}$ has an average approximately
equal to 3.8 and a standard deviation approximately equal to 1.6. Finally, the
time scaled index $h/\sqrt{A_A}$ appears to be strongly correlated with the
contemporary $h$-index $h_c$.},
  author = {Mannella, Riccardo and Rossi, Paolo},
  interhash = {e582a45e6e502705e4a9ccfd85251396},
  intrahash = {0f35c5ddb2005cd598210d3a9b8eeb04},
  note = {cite arxiv:1207.3499},
  title = {On the time dependence of the $h$-index},
  url = {http://arxiv.org/abs/1207.3499},
  year = 2012
}