The deft's intent to represent the social security number as his and his conduct in providing the number, although associated with the correct name, sufficed for a fraudulent use of the social security number.
http://media.ca1.uscourts.gov/pdf.opinions/17-1379P-01A.pdf
Since 2011. An occasional commonplacing of the U.S. Circuit Courts of Appeal.
Neither an authoritative statement of the law nor legal advice. Quick work.