Previous accounts of DEFERRED REFERENCE (e.g. Nunberg 1995) have argued that all (nonostensive) deferred reference is the result of MEANING TRANSFER, a shift in the sense of a nominal or predicate expression. An analysis of deferred equatives ( I'm the pad thai ) suggests an alternative account based on the notion of PRAGMATIC MAPPING: a contextually licensed mapping operation between (sets of) discourse entities, neither of which undergoes a transfer of meaning. Moreover, the use of a deferred equative requires the presence of a contextually licensed OPEN PROPOSITION whose instantiation encodes the particular mapping between entities, both of which remain accessible to varying degrees within the discourse model. Finally, it is shown how a complete account of deferred reference must provide for transfers of reference as well as sense.