Chuthi Patisandhi chitta The concept of chuthi patisandhi cittas- ie. generation of patisandhi citta conditioned by chuthi citta in a minute fraction of a second- is a very important concept mentioned in Abhidhammaththa Sangaha. This is so important that only by describing the mechanism of chuthi-patisandhi in this way the main teaching of Buddhism that there is no soul or ego (anaththa) can be justified.  Can I find any reference in Abhidhamma Pitaka.
Patisandhi citta is not conditioned by the Cuti citta. Cuti citta merely marks the end of that life. The Javanas that occur just before the Cuti citta determine the nature of the Patisandhi citta. Read more here: The mind at the time of death.