Retrieve the prior link history of a work item history state using client Java API

We have to rollback to an previous work item history state for a lot work items. Therefore we want to get the whole work item attributes including it's added links (like tracks/contributes to, related, parent/children, duplicate of/duplicated by) at a specified time from the work item history. With the client side API it is possible to get the whole history of a work item including it's link history. We are also able to retrieve all the attribute data of the work item at the time given, but we don't know how to get the links which were added at this time. The only information we get is the current link information from the latest (current) work item state.