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The most recent member of the millisecond pulsar with very low-masscompanions and short orbital periods class, PSR J1311-3430 (Pletsch et al.2012) is a remarkable object in various senses. Besides being the firstdiscovered in gamma-rays, its measured features include the very low or absenthydrogen content. We show in this Letter that this important piece ofinformation leads to a very restricted range of initial periods for a givendonor mass. For that purpose, we calculate in detail the evolution of thebinary system self-consistently, including mass transfer and evaporation,finding the features of the new evolutionary path leading to the observedconfiguration. It is also important to remark that the detailed evolutionaryhistory of the system naturally leads to a high final pulsar mass, as it seemsto be demanded by observations.

An evolutionary model for the gamma-ray system PSR J1311-3430 and its companion