A careful analysis on the recoverability and completeness limits of dense core mass functions (CMF) for extinction data in general, presenting simulations of the Pipe Nebula. Is the Alves et al. 2007 result valid, namely, does the Pipe CMF resemble the IMF and shows a break? Look for the answer here. This is the last paper from Jouni Kainulainen PhD thesis, en route to MPIA Heidelberg.