SharePoint 2010 - User ID is changed after migrate to Claim Based Authentication

Problem: when migrate from classic authentication to claim based authentication in SharePoint 2010, some User IDs is changed. This will lead to the created documents that have user fields point to the incorrect user ids.  Ex:

Before migration: Documents were created with user01(ID = 1).

After migration: ID of user 1 is changed, so the ID =1 in the created documents is not correct, the system throw null exception when we click on created by field. I looked into the SharePoint DB, and see that the user01(ID=1) is marked as deleted and system created another user01 that have different ID in SharePoint database

Can anyone help?

Thanks