The picture I have shows the pitch as 1.27 mm, so 20 TPI. 55 Degree included angle, rounded crest and root Radius appears to read .175 mm.
18mm OD. 19mm long barrel stub (what fits into the receiver)from the shoulder, 2mm unthreaded, 14mm threaded, and 3mm at the chamber end, reduced to 16mm.
From a drawing titled (and I'll probably butcher this, it's in script) Selbstiade-Pistole Mod. 1904. Can't tell you what or how much was changed to get to the P08, but it seems to jive with what others are reporting.
Shoot me a PM with an email address and I'll fire it off into the aether in your general direction. Has pretty good detail of extractor groove etc.
Cheers
Trev