  We generalize bit threads to hyperthreads in the context of holographic
spacetimes. We define a "$k$-thread" to be a hyperthread which connects $k$
different boundary regions and posit that it may be considered as a unit of
$k$-party entanglement. Using this new object, we show that the contribution of
hyperthreads to calculations of holographic entanglement entropy are
generically finite. This is accomplished by constructing a surface whose area
determines their maximum allowed contribution. We also identify surfaces whose
area is proportional to the maximum number of $k$-threads, motivating a
possible measure of multipartite entanglement. We use this to make connections
to the current understanding of multipartite entanglement in holographic
spacetimes.
