From page 8 in that PDF
Kilo 1.2: The basic model of the aluminium version is the air shock “AiR-force kilo”. The shock has to be mounted in the upper position (see to the picture). It’s mounted in the same position as the air shock “SLR:light.”. The length of both shocks is 195 mm.
Kilo 1.3: The basic model of the aluminium version is the steel spring damper. The shock has to be mounted in the down position (see to the picture). The shock length is 200 mm.
Kilo no.1: The basic model of the carbon version is the air shock “SLR:light.“. The shock has to be mounted in the upper position (compare with the picture). It’s the same position as for the air shock “AiR-force kilo.”. The length of both shocks is 195 mm.
4.4. Spring preload
Spring preload (sag) means how much the shock is compressed when a rider sits on the bike and is measured on level ground. The rider must be seated in a normal riding position.
Spring preload should be set between 15 - 25 % of the overall travel.
Static deflection
15% / 12 mm
20% / 16 mm
25% / 20 mm
At total deflection of 80mm max.
So it sounds like a 195mm or 200mm x 80mm stroke shock for a 90mm travel fork. But the valving will also be for a suspension with a 1:1.125 leverage ratio, it will likely be under valved on a rear suspension.
The DT Swiss X313 is only 145gms
DT Swiss - X 313 Carbon 2015