  Starting from the continuum definition of helicity, we derive from first
principles its different contributions for superfluid vortices. Our analysis
shows that an internal twist contribution emerges naturally from the
mathematical derivation. This reveals that the spanwise vector that is used to
characterise the twist contribution must point in the direction of a surface of
constant velocity potential. An immediate consequence of the Seifert framing is
that the continuum definition of helicity for a superfluid is trivially zero at
all times. It follows that the Gauss-linking number is a more appropriate
definition of helicity for superfluids. Despite this, we explain how a
quasiclassical limit can arise in a superfluid in which the continuum
definition for helicity can be used. This provides a clear connection between a
microscopic and a macroscopic description of a superfluid as provided by the
Hall-Vinen-Bekarevich-Khalatnikov equations. This leads to consistency with the
definition of helicity used for classical vortices.
