  We propose the concept of the time-independent correlators for the even- and
odd-frequency pairing states that can be defined for both bosonic and fermionic
quasiparticles. These correlators explicitly capture the existence of two
distinct classes of pairing states and provide a direct probe of the hidden
Berezinskii order. This concept is illustrated in the cases of pairings for
Majorana fermions and quasiparticles in Dirac semimetals. It is shown that the
time-independent correlator is able to effectively capture the energy scale
relevant for pairing.
