The USCIS recently introduced the Form I-131A, Application for Travel Document. This form is for certain LPRs and conditional LPRs whose Green Cards or Reentry Permits were lost, stolen, or destroyed, and who consequently need documentation to return to the USA. The Form I-131A instructions explain who may file a Form I-131A and when it may be appropriate.
Requesting Social Security Updates With Form N-400
The new edition of the Form N-400 allows naturalization applicants with USCIS to apply for a SSN or replacement Social Security Card while filing.