\defbibcheck{notarXiv}{%
  \iffieldequalstr{journaltitle}{CoRR}{\skipentry}{}
}

\defbibcheck{arXiv}{%
  \iffieldequalstr{journaltitle}{CoRR}{}{\skipentry}
}

\begin{refsection}[bib/sivanov.bib]
\section{Publications}
\nocite{*}
\printbibliography[
  sorting=ydnt,
  heading=subbibliography,
  title={Revues internationales},
  type=article,
  prefixnumbers={j},
  check=notarXiv
]

\printbibliography[
  sorting=ydnt,
  heading=subbibliography,
  title={Conférences et ateliers d'audience internationale},
  type=inproceedings,
  prefixnumbers={c}
]

\printbibliography[
  sorting=ydnt,
  heading=subbibliography,
  title={Publications informelles},
  type=article,
  prefixnumbers={i},
  check=arXiv
]
\end{refsection}