The structural response of vitreous silica to changes in temperature and pressure is of fundamental importancein earth and materials sciences and is largely controlled by the ring-size distribution that controls the topologyof the structure. The 3- and 4-membered rings constitute only a small fraction of the structure but are knownto be sensitive to and increase in concentration with increasing pressure and temperature. We present newexperimental results that show a sudden reversal in the temperature dependence of the concentrations ofthese rings near the recently discovered density minimum of vitreous silica. These results invalidate ourconventional wisdom regarding the entropically stabilized, defect-like behavior of the small rings and indicatethat these rings are possibly key players in controlling the density of silica.