Yep, it is. Been there & the tour is well worth it. Very very cool. I've never seen such beautiful horses, well kept stables or such gleaming tack in my life! And pictures are allowed, but not of the horses sadly.
"Choose to chance the rapids, and dare to dance the tides" - Garth Brooks
"With your permission, dear, I'll take my fences one at a time" - Maggie Smith, Downton Abbey
"Lipizzaners are marked by their brands, on the left cheek, the brand of descent, usually an L denoting a purebred Lipizzaner, on the left withers, a letter denoting the bloodline of the sire (out of the six classical bloodlines) and a symbol denoting the bloodline of the dam (out of the same six bloodlines) and the left hip carrying the brand of the stud at which the horse was foaled. The Piber stud's mark is a P beneath a crown. The only brand on the right side of the horse is the foal registry number, and all brands, excepting the cheek brand and the hip brand, are covered by the saddle."
I lived in Vienna in 1981. Back then the stables had box stalls for the older stallions, and tie stalls for the younger ones (and by the level of greying the sorting was kind of obvious) I don't know what year the stables were re-done- but the most recent pictures I have seen of the courtyard, they have done some major renovations. I believe that all the horses now have box stalls which probably cut down on the original aisle size.
If your eyes are drawn to the handsome horses in this picture- try to tear your gaze away for a moment and notice the sculpted horse heads over the stalls of the foundation stallions! (those were there way back then too)