[1] A very long, X-ray bright tail (over 4 light years across) may be stretching away from PSR J0357+3205.
(Other types of pulsars include those driven by strong magnetic fields and still others that are powered by material falling onto the neutron star.)
For example, PSR J0357 is losing a very small amount of energy as its spin slows down with time.
[1] This energy loss is important, because it is converted into radiation and powering a particle wind from the pulsar.
This places limits on the amount of energy that particles in the wind can attain, and so might not account for the quantity of X-rays seen in the tail.