Response to a critique of the Borexino result in "A new experimental limit for the stability of the electron" by H.V. Klapdor-Kleingrothaus, I.V. Krivosheina and I.V. Titkova

A recently published article by Klapdor-Kleingrothaus et al. critiques the limit on the stability of the electron obtained by the Borexino collaboration. We respond here to the criticisms raised by Klapdor-Kleingrothaus and his colleagues, and re-establish that our result is based on very conservative premises and that the "indication of a signal of 1.4 $\sigma$" for the decay of the electron in the $\gamma+\nu$ channel, reported by Klapdor-Kleingrothaus and colleagues, is excluded by the Borexino result.