Títulos de teoremas en los márgenes exteriores (páginas pares / impares)

Question

Me gustaría que las etiquetas de teorema/definición/etc. aparecieran en elexteriormargen de página (teniendo en cuenta las páginas pares e impares). Primero, intenté usar el thmtoolspaquete (código e imagen a continuación). Sin embargo, sólo logré colocar la etiqueta siempre en el margen izquierdo. En particular, no tengo idea de cómo thmtoolscombinarlo ifoddpage.

A continuación, lo intenté ntheorem(código e imagen a continuación). Con ntheorem, la ubicación de la etiqueta funcionó como debería, pero no pude cambiar el estilo de fuente del título del teorema ("Algún teorema importante" en las imágenes a continuación) y colocarlo en una línea propia. Además, no pude deshacerme de la sangría. Finalmente, también rompió mis autorefreferencias.

Aresumir: Lo que estoy buscando es un entorno de teoremas que permita

• etiquetas enexteriormárgenes de página (páginas pares/impares)
• control total de estilo para etiquetas, título y cuerpo
• autorefcompatibilidad (en particular, me gustaría usar un único contador para diferentes entornos de teoremas, como teorema, definición, etc.)

Estoy a punto de rendirme, así que realmente espero que alguien pueda ayudarme con esto.

Código para thmtools:

\documentclass[10pt, a4paper, twoside]{article}
\usepackage[a4paper, inner=1.25in, outer=1.25in]{geometry}

\usepackage{color}
\usepackage{amsthm}
\usepackage{thmtools}

\newlength{\spaceblength}
\settowidth{\spaceblength}{\bfseries\ }
\declaretheoremstyle[
    headfont=\bfseries,
    notefont=\bfseries,
    notebraces={}{\\[\parskip]}, % Braces for additional text
    bodyfont=\normalfont\itshape,
    headpunct={},
    headformat={%
        \makebox[0pt][r]{\color{red}\NAME\ \NUMBER\ \ }\hskip-\spaceblength{\NOTE}%
    }
]{boxstyle}

\declaretheorem[style=boxstyle,numberwithin=section]{theorem}

\begin{document}

\begin{theorem}[Some Important Theorem]
    This is a theorem. This is a theorem. This is a theorem. This is a theorem. This is a theorem.
    This is a theorem. This is a theorem. This is a theorem. This is a theorem. This is a theorem.

    This is a theorem. This is a theorem. This is a theorem. This is a theorem. This is a theorem.
    This is a theorem. This is a theorem. This is a theorem. This is a theorem. This is a theorem.
\end{theorem}

\newpage

\begin{theorem}[Some Important Theorem]
    This is a theorem. This is a theorem. This is a theorem. This is a theorem. This is a theorem.
    This is a theorem. This is a theorem. This is a theorem. This is a theorem. This is a theorem.

    This is a theorem. This is a theorem. This is a theorem. This is a theorem. This is a theorem.
    This is a theorem. This is a theorem. This is a theorem. This is a theorem. This is a theorem.
\end{theorem}

\end{document}

Código para ntheorem:

\documentclass[10pt, a4paper, twoside]{article}
\usepackage[a4paper, inner=1.25in, outer=1.25in]{geometry}

\usepackage{color}
\usepackage{ifoddpage}
\usepackage{ntheorem}

\makeatletter%
\newtheoremstyle{nonumoutermargin}%
{\item[\checkoddpage\ifoddpageoroneside\rlap{\hskip\linewidth\theorem@headerfont {\hskip18pt##1}}%
\else\llap{\theorem@headerfont{##1}\hskip6pt}\fi]}%
{\item[\checkoddpage\ifoddpageoroneside\rlap{\hskip\linewidth\theorem@headerfont   {\hskip18pt##1}}%
\else\llap{\theorem@headerfont{##1}\hskip6pt}\fi##3]}

\newtheoremstyle{outermargin}%
{\item[\checkoddpage\ifoddpageoroneside\rlap{\hskip\linewidth\theorem@headerfont {\hskip18pt##1\hskip\labelsep##2}}%
\else\llap{\theorem@headerfont{##1\hskip\labelsep##2}\hskip6pt}\fi]}%
{\item[\checkoddpage\ifoddpageoroneside\rlap{\hskip\linewidth\theorem@headerfont{\hskip18pt##1\hskip\labelsep##2}}%
\else\llap{\theorem@headerfont{##1\hskip\labelsep##2}\hskip6pt}\fi##3]}
\makeatother

\theoremindent=0pt
\theoremheaderfont{\upshape\bfseries\color{red}}
\theoremstyle{outermargin}
\newtheorem{theorem}{Theorem}[section]

\begin{document}

\begin{theorem}[Some Important Theorem]
    This is a theorem. This is a theorem. This is a theorem. This is a theorem. This is a theorem.
    This is a theorem. This is a theorem. This is a theorem. This is a theorem. This is a theorem.

    This is a theorem. This is a theorem. This is a theorem. This is a theorem. This is a theorem.
    This is a theorem. This is a theorem. This is a theorem. This is a theorem. This is a theorem.
\end{theorem}

\newpage

\begin{theorem}[Some Important Theorem]
    This is a theorem. This is a theorem. This is a theorem. This is a theorem. This is a theorem.
    This is a theorem. This is a theorem. This is a theorem. This is a theorem. This is a theorem.

    This is a theorem. This is a theorem. This is a theorem. This is a theorem. This is a theorem.
    This is a theorem. This is a theorem. This is a theorem. This is a theorem. This is a theorem.
\end{theorem}

\end{document}

Answer 1

Continué buscando una respuesta y lo siguiente funcionó para mí (pensé que lo había probado antes y no compiló...):

\documentclass[10pt, a4paper, twoside]{article}
\usepackage[a4paper, inner=1.25in, outer=1.25in]{geometry}

\usepackage{color}
\usepackage{amsthm}
\usepackage{thmtools}
\usepackage{ifoddpage}

\newlength{\spaceblength}
\settowidth{\spaceblength}{\bfseries\ }
\declaretheoremstyle[
    headfont=\bfseries,
    notefont=\bfseries,
    notebraces={}{\\[\parskip]}, % Braces for additional text
    bodyfont=\normalfont\itshape,
    headpunct={},
    headformat={%
        \checkoddpage\ifoddpage\rlap{\hskip\textwidth\color{red}\ \ \ \NAME\ \NUMBER}\hskip-\spaceblength{\NOTE}%
        \else\makebox[0pt][r]{\color{red}\NAME\ \NUMBER\ \ \ }\hskip-\spaceblength{\NOTE}\fi%
    },
]{boxstyle}

\declaretheorem[style=boxstyle,numberwithin=section]{theorem}

\begin{document}

\begin{theorem}[Some Important Theorem]
    This is a theorem. This is a theorem. This is a theorem. This is a theorem. This is a theorem.
    This is a theorem. This is a theorem. This is a theorem. This is a theorem. This is a theorem.

    This is a theorem. This is a theorem. This is a theorem. This is a theorem. This is a theorem.
    This is a theorem. This is a theorem. This is a theorem. This is a theorem. This is a theorem.
\end{theorem}

\newpage

\begin{theorem}[Some Important Theorem]
    This is a theorem. This is a theorem. This is a theorem. This is a theorem. This is a theorem.
    This is a theorem. This is a theorem. This is a theorem. This is a theorem. This is a theorem.

    This is a theorem. This is a theorem. This is a theorem. This is a theorem. This is a theorem.
    This is a theorem. This is a theorem. This is a theorem. This is a theorem. This is a theorem.
\end{theorem}

\end{document}