I remember, because I made two of my most researched comments there [1]. :)
I'm no historical linguist, but I'd take this finding with a bunch of grains of salt. Eurasiatic language families that seek to combine, say, Proto-Indo-European [2] and Altaic [3] languages are pretty controversial, and in general this paper reeks a bit of glottochronology [4], which is a pretty controversial topic in historical linguistics itself.
Wikipedia's Eurasiatic language page actually even has a large section about this very article, including some refutations[5].
[1] https://news.ycombinator.com/item?id=5670947
[2] https://en.wikipedia.org/wiki/Proto-Indo-European_language
[3] https://en.wikipedia.org/wiki/Altaic_languages
[4] https://en.wikipedia.org/wiki/Glottochronology
[5] https://en.wikipedia.org/wiki/Eurasiatic_languages#Pagel_et_....