  The GRANAT group (R. Sunyaev {\it et al.\/}, Central Bureau of Astronomical
Telegrams, International Astronomical Union, Circular No.~5481) recently
reported the observation of a $(545 \pm 11)$ keV line in the spectrum of the
Crab Nebula. It is tempting to associate this with the positron-electron
annihilation line at 511 keV. If this line originates from some transition at
the surface of the neutron star in the Crab, we expect a red shift of around
10\% rather then the observed blue shift of $\sim 35$ keV; in fact, this
gravitational red shift implies that the natural frequency of the observed line
is also 10\% higher, or around 600 keV. In this article we shall present a
mechanism for generating such a split from 511 keV. For this mechanism to be
successful we require: (a) surface magnetic fields, in the annihilation region,
to be $(3-8)\times 10^{12}$~G and to point in our direction, (b) surface
densities of $(10^5-10^6)$ g/cc. Both of these assumptions are consistent with
pulsar models.
