# Circuit uniformities more restrictive than $DLOGTIME$

$$DLOGTIME$$-uniformity was introduced by Barrington et al. here, and seems to be the standard lowest uniformity measure used for e.g. constant-depth circuit classes ($$AC^0$$, $$ACC^0$$, etc.). Are there circuit uniformities more strict than $$DLOGTIME$$-uniformity, especially with pre-existing basis in literature? The only one I could find was Rational uniformity from this paper, but it doesn't seem to have caught on. If there are no other measures used in the literature now, I would still accept "theoretical" uniformity measures more strict/sharp/restrictive than $$DLOGTIME$$-uniformity.