Some random notes on this type of skis:
When I was skiing in the north Lake Baikal region I borrowed a set of skis that was about 6-8'' by 50''. Wood laminate with a kind of slippery plastic on the bottom. They had a bit of glide on the flat but being furless would slide back and get stuck at about 45 degrees in deep powder, when we caved in the snow on top of the creek bed we were traveling over.
The Ski: Its History and Historiography
LeRoy J. Dresbeck
Technology and Culture, Vol. 8, No. 4 (Oct., 1967), pp. 467-479
(its on jstor.org as a pdf - you might need access to a university library. This has some good info and pictures of short/wide skis from Scandinavia)
I've researched Siberian skis at my university and in some Russian publications. Here is the short and sweet:
-hockskin sole (rawhide or worked dry, ungulate): these were usually glued on with hide glue from what I remember, sometimes sewn into a sheet and wood-pegged or nailed on the top edge of the ski
-larch, spruce, pine for the ski itself
-the foot bed is made from birch bark - packed snow/ice will not stick to it
-the foot harness is just thong, same idea as a snowshoe harness but may need to be modified because there is no toe hole
-Just like snowshoes in North America vary in length to width ratio and overall surface area in a fashion that corresponds to use and the type of snow encountered in different regions, so do Siberian ski types vary.
I think the skis some of the other folks are mentioning are really central asian telemark-type skis, these are used with a steering pole held between the legs. There is some youtube footage of this.
Check out the Pathfinder (1987, Nils Gaup -Director, Saami, english subtitles) for great ski ideas - in regard to Scandinavia and the equip/techniques that gave birth to modern nordic skiing - its an awesome film in artistic terms too.