Responsible Child Tax Credit Eligibility Verification Act of 2012 - Amends the Internal Revenue Code to require a taxpayer who is an alien and who is claiming the refundable portion of the child tax credit to attach to his or her tax return a photocopy of: (1) each page of the taxpayer's passport; (2) the taxpayer's nonimmigrant visa; (3) the taxpayer's employment authorization; (4) the taxpayer's arrival-departure documentation; and (5) the passport, visa, and arrival-departure documentation for each qualifying alien child of the taxpayer.