The Earth is closer to the sun in January (perihelion) than in July (aphelion) due to the eccentricity of its elliptical orbit.
The claim is a well-established astronomical fact: Earth's perihelion occurs in early January, meaning the distance between the Earth and the sun is indeed shorter then than in July (aphelion). Retrieved papers regarding orbital mechanics and seasonal climate dynamics (such as papers 3, 4, and 11) consistently reference this elliptical geometry and the variation in Earth-Sun distance.