I want to add a correction to a line, as one would write if they were going through a hard-copy of a paper and found that a word was omitted. I've drawn by hand specifically what I'm after below:

The original line should be unchanged.
I'm guessing there's a simple way of doing this (e.g. some package), but I don't know how to do it, and I'm not sure what to search for. (I'm also unsure what to tag this question.)
\documentclass{article}
\usepackage{amsmath}
\begin{document}
Output $(I_1) = D$
\end{document}
todonotespakage that allows create a lot of different notes for further revisions and also create a list of thigs to do. Using it with hyperrref is very comfortable, you could try. – Aradnix Jun 12 '15 at 06:05todonotesin this application. Instead I used the rather simplerchangespackage. It does reflow your text, which you say you don't want, but you may well find you need mutliline insertions which wouldn't work too well with your approach. I also had a couple of custom macros used for adding specific notes (e.g. a wikipedia-style "citation needed") which I could search for in the .pdf to make sure I had done them. – Chris H Jun 12 '15 at 08:34