I just to look to photos... There are might be several reasons. I have just few ones:
1. Green stink bug damage at early stages of persimmon fruits (if near of your persimmon trees you have pear trees - this is the one of proposal causes).
2. Hail damage
3. Mechanical any type of damage of fruits (by tractors or strong wind)
Which variety of persimmon is in Photos ? Hyakume (Karalyok) or Fuyu ?