  A partial orientation $\vec{H}$ of a graph $G$ is a weak $r$-guidance system
if for any two vertices at distance at most $r$ in $G$, there exists a shortest
path $P$ between them such that $\vec{H}$ directs all but one edge in $P$
towards this edge. In case $\vec{H}$ has bounded maximum outdegree, this gives
an efficient representation of shortest paths of length at most $r$ in $G$. We
show that graphs from many natural graph classes admit such weak guidance
systems, and study the algorithmic aspects of this notion.
