WMS wave picking

how do shops handle wave picking in a WMS?

When an order is packed and shipped I want to retain info about the pallets
that items were picked from to fulfill that order. Especially I want to
know the lot number of the items that were shipped.

When a wave of orders are picked, how to retain the pick from information?
As I understand wave picking, multiple orders are picked to a cart. Then
the orders are packed from the cart. You can retain the pallet IDs and
quantities picked to the cart. But only as summary totals.

thanks,