Late Die State.

An LDS variety only exists if there is an EDS (early die state) of the same variety that shows "less" (or sometimes just different) features than the LDS. LDS features may include additional die clashing, an expanded or lengthened die crack, etc. when compared to the EDS of the same variety.
The 1888-O VAM-1B "scarface" is a famous LDS. An EDS of the same variety does not show the die crack traveling across Liberty's face, but only into the field.
Late die state of "scarface" with the break through the cheek. Outstanding!

Notice the small break at the dot between the E and the P. This is one of the early die state varieties of this VAM. Not yet "scarface."

So, what is worth more, the EDS stage of a VAM or the LDS stage of a VAM? That all depends on the VAM. For the 1888-O VAM-1B, it all depends on which of the 10 stages the coin represents, though generally the LDS (the true "scarface") is worth much more. However, with the 1882-O/S varieties, the EDS stages can be worth much more than the LDS stages due to rarity. Bottom Line: With any VAM, do your research to make sure you know what you're really getting before you buy. Incidentally, the link to the VAMview issue that has the article on the Harrison Stages of the 1888-O VAM-1B is [[1]]
As long as we're on the subject, please note that the coins in the two slabs shown below are not "Scarface". These are the early die state (EDS) of the coin that becomes Scarface. They are collectible but are worth much less than a real Scarface. Even though one of the slabs actually uses the word "Scarface" on the slab, the key is still the word "EDS".