Other authors called the midrash "VeHizhir," after the standing formula "VeHizhir haḲadosh barukh Hu," with which nearly all the pericopes in the midrash as now extant begin, and which is occasionally found at the beginning of a new section in the middle of the pericope.
The midrash is also referred to as "VeHizhir" by other authors, following the standard opening phrase "VeHizhir haḳadosh barukh Hu," with which most of the current passages in the midrash begin, and occasionally appearing at the start of a new section within a passage.