The PTOLEMY project aims to directly detect the Cosmic Neutrino Background radiation exploit-
ing the interaction between relic neutrinos and tritium nuclei. The experimental method developed
for this purpose is based on the energy measurement of final state electrons produced during the
neutrino capture reaction, and consists of an extremely high-energy resolution measurement with
high background rejection. The PTOLEMY experimental method allows to do such measurement
using an instrumented high-mass solid tritium target. In particular, electrons from the tritium
target are filtered by using the novel PTOLEMY electromagnetic filter that is capable to reject non
interesting electrons in real-time. To do such filter, a trigger with a rough measurements of the
electron kinematic variables is required. The remaining electrons kinetic energy is measured with
high resolution by low energy detectors like Transition Edge Sensors, used as calorimeters. The
complete conceptual design is under development and the first prototype will be tested at LNGS
by 2025.