Why isn't the resume key working for enumitem package

Question

How can I make the resume key work when my enumerated lists are contained within separate multicol environments?

Here's the code that's not working:

\documentclass{article}
\usepackage{multicol}
\usepackage{enumitem}
\newlist{problem}{enumerate}{1}
\setlist[problem,1]{label={\bfseries\arabic{problemi}.},leftmargin=*,resume}
\def\remembered[#1]{\typeout{Call #1:\arabic{problemi}}}
\pagestyle{empty}
\begin{document}

Random content
\begin{multicols}{2}
\begin{problem}
\item something
\end{problem}
\end{multicols}
\remembered[First]

more content
\begin{multicols}{3}
\remembered[Inside 2nd]
\begin{problem}
\item something
\item something
\item something
\item something
\item something
\item something
\item something
\item something
\item something
\end{problem}
\end{multicols}
\remembered[Outside second]

more content
\begin{multicols}{3}
\remembered[Inside 3rd]
\begin{problem}
\item something
\item something
\item something
\item something
\item something
\end{problem}
\end{multicols}
\remembered[Outside 4th]

\end{document}

The \remember command seems to indicate that the value of the counters isn't being localized by the multicols environment. So, why can't resume find the correct value to resume from?

Without the multicols environment everything works as desired:

\documentclass{article}
\usepackage{multicol}
\usepackage{enumitem}
\newlist{problem}{enumerate}{1}
\setlist[problem,1]{label={\bfseries\arabic{problemi}.},leftmargin=*,resume}
\def\remembered{\typeout{\arabic{problemi}}\par I remember: \arabic{problemi}}
\pagestyle{empty}
\begin{document}

Random content
\begin{problem}
\item something
\end{problem}
\remembered[First]

more content
\remembered[Inside 2nd]
\begin{problem}
\item something
\item something
\item something
\item something
\item something
\item something
\item something
\item something
\item something
\end{problem}
\remembered[Outside second]

more content
\remembered[Inside 3rd]
\begin{problem}
\item something
\item something
\item something
\item something
\item something
\end{problem}
\remembered[Outside 4th]

\end{document}

Answer 1

resume acts locally, so it won't survive a group like multicols or any other environment, for that matter. You need to use a series to keep the effect global:

\documentclass{article}
\usepackage{multicol}
\usepackage{enumitem}
\newlist{problem}{enumerate}{1}
\setlist[problem,1]{label={\bfseries\arabic{problemi}.},leftmargin=*,resume=problem}
\def\remembered[#1]{\typeout{Call #1:\arabic{problemi}}}
\pagestyle{empty}
\begin{document}

Random content
\begin{multicols}{2}
\begin{problem}
\item something
\end{problem}
\end{multicols}
\remembered[First]

more content
\begin{multicols}{3}
\remembered[Inside 2nd]
\begin{problem}
\item something
\item something
\item something
\item something
\item something
\item something
\item something
\item something
\item something
\end{problem}
\end{multicols}
\remembered[Outside second]

more content
\begin{multicols}{3}
\remembered[Inside 3rd]
\begin{problem}
\item something
\item something
\item something
\item something
\item something
\end{problem}
\end{multicols}
\remembered[Outside 4th]

\end{document}