TAI is calculated in retrospect, as I understand it, based on the weighted contributions of the atomic timescales maintained by all of the participating countries. As a result, if you store a TAI timestamp in hopes of using it as an absolute time reference point, you will have to go back and update it when BIPM releases the next 'Circular T' bulletin (http://www.bipm.org/jsp/en/TimeFtp.jsp?TypePub=scale).