diff --git a/Rafelski_Steinmetz_for_Harald.bib b/Rafelski_Steinmetz_for_Harald.bib
index 6658501..8dd4b2e 100644
--- a/Rafelski_Steinmetz_for_Harald.bib
+++ b/Rafelski_Steinmetz_for_Harald.bib
@@ -117,7 +117,7 @@ @article{Steinmetz:2023nsc
 primaryClass = "hep-ph",
 year = "2023",
 volume = ".",
-note = "arXiv:2308.14818"
+note = "arXiv:2308.14818 [Submitted to PRD]"
 }
 @article{DUNE:2020fgq,
 author = "Abi, B. and others",
diff --git a/Rafelski_Steinmetz_for_Harald.tex b/Rafelski_Steinmetz_for_Harald.tex
index 57649e3..c31c2f5 100644
--- a/Rafelski_Steinmetz_for_Harald.tex
+++ b/Rafelski_Steinmetz_for_Harald.tex
@@ -369,10 +369,10 @@ \section{Toy model: EM-flavor mixing for two generations with a real Hermitian m
 \begin{align}
 \label{herm:4}
 W_{\ell j}^{\dag}(\mathcal{M}_{\ell\ell'}\gamma_{0})W_{\ell' j'} &= 
-Z_{kj}^{\dag\mathrm{ext}}\begin{pmatrix}
+Z^{\dag\mathrm{ext}}\begin{pmatrix}
 \mathcal{A} & i\mathcal{C}\\
 -i\mathcal{C} & \mathcal{B}
-\end{pmatrix}Z_{k'j'}=\lambda_{j}\delta_{jj'}\,.
+\end{pmatrix}Z^\mathrm{ext}=\lambda_{j}\delta_{jj'}\,.
 \end{align}
 \req{herm:4} can be understood as an eigenvalue equation where the columns of $Z_{kj}^\mathrm{ext}$ are interpreted as eigenvectors for each eigenvalue $\lambda_{j}$.