Key points are not available for this paper at this time.
In this note, we explore the possibility of the existence of Kirby move of type 1 for contact surgery diagrams. In particular, we give the necessary conditions on a contact surgery diagram to become a potential candidate for contact Kirby move of type 1. We prove that no other contact integral surgery diagram satisfies those conditions except for contact (+2) -surgery on Legendrian unknot with Thruston--Bennequin number -1.
Deep et al. (Fri,) studied this question.