And just what would the female side look like?
Would this be a setup where you size, not lube, a cast bullet one at a time using your single stage press??
Lee makes these, but I don't recall my Lees having caliber stamped on the bottom. Maybe the newer ones do?
The "female" looks like a die that screws into your press (yes, single stage) with a hole through it and a size designation stamped on it above the threads, along with a locking ring. You adjust the die so that when a cast bullet is placed on top of the "pedestal" installed in the press arm, it gets pushed through the sizing die.
I like the Lee and NOE push-through sizers, particularly with bulk powder-coated bullets. Easy to size a few thousand in an evening. Also works for seating gas checks.