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We aim to resolve a misunderstanding about whether the so-called "Earth term"in the pulsar timing response to a gravitational wave is in phase among a setof pulsars. We note that the misunderstanding has potentially arisen from thestatements that the Earth term is "coherent" or "builds up coherently" amongthe pulsars. We clarify what authors mean by "coherent" in these statements,pointing out that "coherent" does not indicate that the Earth terms are inphase among the pulsars. Using the pulsar timing residuals induced by acontinuous gravitational wave, we show that the Earth term does not alignacross different pulsars except for the special case when thegravitational-wave source is edge-on, i.e. when the orbital inclination angleof the source is either $\iota=\pi/2$ or $3\pi/2$. We demonstrate the sameconcept using the pulsar timing software libstempo by plotting the Earth termsfrom a set of pulsars.

The Earth term in pulsar timing residuals is out of phase among the pulsars