  Evidence is presented in support of an unconventional $3+3$ model of the
neutrino mass eigenstates with specific $m^2>0$ and $m^2<0$ masses. The two
large $m^2>0$ masses of the model were originally suggested based on a SN 1987A
analysis, and they were further supported by several dark matter fits. The new
evidence for one of the $m^2>0$ mass values comes from an analysis of published
data from the $\emph{three}$ most precise tritium $\beta-$decay experiments.
The KATRIN experiment by virtue of a unique 3-part signature should either
confirm or reject the model in its entirety.
