  The index of success of the researchers is now mostly measured using the
Hirsch index ($h$). Our recent precise demonstration, that statistically $h
\sim \sqrt {N_c} \sim \sqrt {N_p}$, where $N_p$ and $N_c$ denote respectively
the total number of publications and total citations for the researcher,
suggests that average number of citations per paper ($N_c/N_p$), and hence $h$,
are statistical numbers (Dunbar numbers) depending on the community or network
to which the researcher belongs. We show here, extending our earlier
observations, that the indications of success are not reflected by the total
citations $N_c$, rather by the inequalities among citations from publications
to publications. Specifically, we show that for very successful authors, the
yearly variations in the Gini index ($g$, giving the average inequality of
citations for the publications) and the Kolkata index ($k$, giving the fraction
of total citations received by the top $1 - k$ fraction of publications; $k =
0.80$ corresponds to Pareto's 80/20 law) approach each other to $g = k \simeq
0.82$, signaling a precursor for the arrival of (or departure from) the
Self-Organized Critical (SOC) state of his/her publication statistics.
Analyzing the citation statistics (from Google Scholar) of thirty successful
scientists throughout their recorded publication history, we find that the $g$
and $k$ for very successful among them (mostly Nobel Laureates, highest rank
Stanford Cite-Scorers, and a few others) reach and hover just above (and then)
below that $g = k \simeq 0.82$ mark, while for others they remain below that
mark. We also find that all the lower (than the SOC mark 0.82) values of $k$
and $g$ fit a linear relationship $k = 1/2 + cg$, with $c = 0.39$.
