  Using the grid diagram formulation of knot Floer homology, Ozsvath, Szabo and
Thurston defined an invariant of transverse knots in the tight contact
3-sphere. Shortly afterwards, Lisca, Ozsvath, Stipsicz and Szabo defined an
invariant of transverse knots in arbitrary contact 3-manifolds using open book
decompositions. It has been conjectured that these invariants agree where they
are both defined. We prove this fact by defining yet another invariant of
transverse knots, showing that this third invariant agrees with the two
mentioned above.
