The proof doesn't have to be on the exact day of June 15th 2012, you can use utility bills you paid within a week before or so with your name on them and dated.
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Application Received: Nov. 30th, 2012
WAC Service Center.
Biometrics: December 27th, 2012.
Approved: March 11th, 2013
SSN: 3/18/2013
CA ID: 3/26/2013