The best replacement for pyrit is hashcat.

The best alternatives to pyrit are rated as following:
★★★★★  hashcat
★★★★★  cowpatty
★★★★  aircrack
★★  elcomsoft
★  reaver

Your alternative for pyrit is not listed? Suggest!
Speaking about pyrit, one probably shouldn't forget about ati.

Other search terms related to pyrit and their ratings are:
★★★★★ ati
You have in mind a companion for pyrit and it is not yet here? Propose!



Google Trends

Scale is based on the average worldwide traffic of pyrit in all years. Click on graph for more.
pyrit
hashcat
cowpatty