I have known JL Hudson (not his real name!) for a long time - he's a great guy. I should have known he'd have this available. Of course, this is just the species and not one of the new improved cultivars but it's worth looking into. Thanks for the pointer!
It seems that most people grow
Common Jujube (Ziziphus jujuba 'Lang') and
Common Jujube (Ziziphus jujuba 'Li') but there are even other newer intros that may be even better. I want a whole orchard of them!
