Building is straightforward, you will need LaTeX and Git. The following command will create a local copy of the source code for you.
git clone https://github.com/anton-petrunin/metric-geometry.git
To make pictures go to tex/mppics/ in the created folder and run mpost
cd tex/mppics/
mpost pic
cd ../..
For complete lectures, go to the created folder and run pdflatex, biber and makeindex few times:
cd tex/
pdflatex lectures
makeindex lectures
biber lectures
pdflatex lectures
For Pure metric geometry and Metric geometry on manifolds do the same for pure-metric.tex and metrics-on-manifolds.tex
To get arXiv.tar with all needed files do
tar -cvf arXiv.tar --files-from list-of-files-pure-metric.txt
tar -cvf arXiv.tar --files-from list-of-files-mnfld.txt