Putting brakes from a fat frame onto a skinny frame
The difference is usually in the length of the threaded insert that goes in the frame, and that the caliper bolt threads into.
The inserts are available separately, and must be sized correctly for the frame.
There may be some older calipers where the bolt itself is too long, but a Ti/Carbon frame sounds pretty new for that.
They come in 16mm and 22mm lengths. A steel frame would normally use the shorter 16mm version. See photos.


____________ 16mm _____________________________________________________ 22mm _________________________