  In this paper, we examine the space of renormalization schemes compatible
with the Kiermaier and Okawa [arXiv:0707.4472] framework for constructing Open
String Field Theory solutions based on marginal operators with singular
self-OPEs. We show that, due to freedom in defining the renormalization scheme
which tames these singular OPEs, the solutions obtained from the KO framework
are not necessarily unique. We identify a multidimensional space of SFT
solutions corresponding to a single given marginal operator.
