It's the bracelet of a Dan Henry 1964, which fits well on the LD 36mm...
Besides, I know the Rado Golden Horse beads of rice bracelet (ref 07.03910.10) is compatible too, and I think it has a quality at the level the LD deserves, besides being polished which fits better.
I was thinking of buying it, but then I knew a new LLD in 39mm was coming, with it's own BOR bracelet (finally!), no date, COSC, and a short (normal) lug length... so I focused on that, and I'm in love with it.