Sketching
Sketching is the method by which each w-bit key at a node containing k keys is compressed into only k-1 bits. Each key x may be thought of as a path in the full binary tree of height w starting at the root and ending at the leaf corresponding to x. To distinguish two paths, it suffices to look at their branching point (the first bit where the two keys differ). All k paths together have k-1 branching points, so at most k-1 bits are needed to distinguish any two of the k keys.
An important property of the sketch function is that it preserves the order of the keys. That is, sketch
(x) < sketch
(y) for any two keys x < y.
Read more about this topic: Fusion Tree