[math-fun] neutron stars are superconductive? superfluid?

Cores of neutron stars are in a superfluid state. -- Mike Stay - metaweta@gmail.com http://www.cs.auckland.ac.nz/~mike http://reperiendi.wordpress.com

--is there any actual evidence for this? Seems to me it is a rather wild extraordinary claim, requiring extraordinary proof. And while I am at it, another question is this: many neutron stars (e.g. pulsars, magnetars) are claimed to have enormous magnetic fields. (And there actually is evidence for that.) Isn't this incompatible with the claim of superconductivity? If the earth had a superconductive core, what would happen about the magnetic field of the earth?