A pitch is a discrete sound, that is, a sound characterized by a fundamental frequency, with the attribute of timbre.
A note is a discrete sound, that is, a sound characterized by a fundamental frequency, with the attributes of timbre and duration. In other words, a note is a pitch that can be notated, one that is sustained for a certain specified amount of time.
The author goes on to claim (on pages 116-117):
It is incorrect then, to say, "I'm going to play a note on the piano" unless that pitch has a given duration.
But isn't it obvious that humans must play only a pitch of FINITE duration on the piano? A human must release his finger from the key at some time, even if he manages to press it until his death! Thus every pitch played on the piano by a human must have "given duration".