A Question about Research mi_lira_2021: Why is logpdf used instead of logcdf?

Hi,
I have a question regarding how the score for the offline attack is calculated in the Research mi_lira_2021 code.

In the code the score is calculated using logpdf

score = scipy.stats.norm.logpdf(sc, mean_out, std_out+1e-30)

but if I understand correctly this does not match equation 4 in the paper that describes how the score should be calculated. The equation looks like this $\Lambda = 1- Pr[Z > \phi (f(x)_{y} ) ]$, where $Z \sim \mathcal{N} (\mu_o, \sigma^2_o)$ which should mean that cdf should be used and not pdf. Is there any particular reason for why the pdfis used in the implementation over cdf?

Start by locating the Research mi_lira_2021 implementation and reviewing the score calculation using scipy.stats.norm.logpdf. Compare that calculation with equation 4 in the cited paper and determine whether the implementation is intentional or should use the corresponding cumulative probability; done means resolving the discrepancy with a documented explanation or confirmed correction.