  A substantial fraction of our solar system's trans-Neptunian objects (TNOs)
are in mean motion resonance with Neptune. Many of these objects were likely
caught into resonances by planetary migration---either smooth or
stochastic---approximately 4 Gyr ago. Some, however, gravitationally scattered
off of Neptune and became transiently stuck in more recent events. Here, we use
numerical simulations to predict the number of transiently-stuck objects,
captured from the current actively scattering population, that occupy 111
resonances at semimajor axes $a=$30--100 au. Our source population is an
observationally constrained model of the currently-scattering TNOs. We predict
that, integrated across all resonances at these distances, the current
transient sticking population comprises 40\% of total
transiently-stuck+scattering TNOs, suggesting that these objects should be
treated as a single population. We compute the relative distribution of
transiently-stuck objects across all $p$:$q$ resonances with $1/6 \le q/p < 1$,
$p<40$, and $q<20$, providing predictions for the population of transient
objects with $H_r < 8.66$ in each resonance. We find that the relative
populations are approximately proportional to each resonance's libration period
and confirm that the importance of transient sticking increases with semimajor
axis in the studied range. We calculate the expected distribution of libration
amplitudes for stuck objects and demonstrate that observational constraints
indicate that both the total number and the amplitude-distribution of 5:2
resonant TNOs are inconsistent with a population dominated by transient
sticking from the current scattering disk. The 5:2 resonance hence poses a
challenge for leading theories of Kuiper belt sculpting.
