UIDAI would like to state that the ­author has made a number of serious mathematical errors and operational omissions which have led him to arrive at a completely incorrect conclusion in his paper. First, we will show why operationally the issue of duplicates in ­Aadhaar can nowhere be close to what the author suggests it ought to be. Then we will show how the mathematical model of duplicates as formulated by the ­author is incorrect. In reality, the problem reported by the author is non-existent. (This is a rebuttal by the Unique Identification Authority of India (UIDAI) to the article “Flaws in the UIDAI Process” by Hans Verghese Mathews (EPW, 27 February 2016).