Deux diagrammes commutatifs...

\documentclass{article}
\usepackage{tikz}
\usepackage{amsopn}
\usepackage{amssymb}
\usetikzlibrary{arrows.meta, cd, decorations.markings}

\DeclareMathOperator{\identite}{id}
\newcounter{diagramcounter}
\renewcommand{\thediagramcounter}{\fbox{\arabic{diagramcounter}}}

\tikzcdset{
  numbered diagram/.code={%
    \refstepcounter{diagramcounter}\label{numbered-diag-#1}%
  },
  circarrow/.style={{Circle[open]}->}, % utilise la bibliothèque arrows.meta
  % Inspiré de <https://tex.stackexchange.com/a/79226/73317> (Jake)
  circarrow 2/.style={
    decoration={
      markings,
      mark={
        at position 0 with { \draw circle[radius=#1]; }
      },
    },
    postaction=decorate,
  },
  circarrow 2/.default=0.35ex,
}

\begin{document}

Bla bla en~\ref{numbered-diag-machin} (...)

\begin{center}
  \begin{tikzcd}[numbered diagram=machin]
    \identite_{A} \arrow[rr, circarrow, "\Omega_{A}", "\cong"']
                  \arrow[dd, circarrow, "u_{*}^{A}"]
      &                               & v \arrow[dd, circarrow, "u_{*}^{B}"] \\
      & \thediagramcounter \\
    u \arrow[r, circarrow, "\cong", "\Omega_{B}"']
      & |[xshift=-1em]| \identite_{B} & u \circ v
  \end{tikzcd}%
  %
  \hspace{4em}%
  \begin{tikzcd}[numbered diagram=truc]
    \identite_{A} \arrow[rr, circarrow 2, "\Omega_{A}", "\cong"']
                  \arrow[dd, circarrow 2, "u_{*}^{A}"]
      &                               & v \arrow[dd, circarrow 2, "u_{*}^{B}"]\\
      & \thediagramcounter \\
    u \arrow[r, circarrow 2, "\cong", "\Omega_{B}"']
      & |[xshift=-1em]| \identite_{B} & u \circ v
  \end{tikzcd}
\end{center}

(...) spécifié en~\ref{numbered-diag-truc}.

\end{document}