There's the "Kaldi for Dummies" tutorial [1], which helped me to the point of creating a speech recognition program that could distinguish digits in recordings of my voice. I guess that's the documentation you're looking for.

My personal problem with Kaldi is that I don't have enough RAM in my cheap laptop to work with any of the big models. When it started swapping just doing the preprocessing for one of the pretrained models [2], I kind of abandoned that project until I bother to get new hardware.

For that reason, I can't tell how good the pretrained models really are.

[1] http://kaldi-asr.org/doc/kaldi_for_dummies.html [2] http://kaldi-asr.org/models.html