Jupiter orbits the barycenter of the Solar System rather than the geometric center of the Sun, but stating it does not orbit the Sun is incorrect in standard heliocentric and dynamical frameworks; no citation is needed for basic solar system orbital mechanics.
The claim that Jupiter does not orbit the sun plays on the physical fact that both the Sun and Jupiter orbit the common barycenter of the solar system. However, in standard astronomical parlance, planets orbit the Sun (or the solar system barycenter inside or very near the Sun). The claim is a common pedantic framing rather than a subject of genuine contested empirical research in the provided literature, making it common knowledge regarding orbital mechanics rather than something requiring specific paper citations.