This paper
Sergey Avvakumov, Roman Karasev, Tensor rank of the determinant and periodic triangulations of $\mathbb{R}^n$
https://arxiv.org/abs/2509.22333
includes in the Acknowledgments "We also thank ChatGPT 5 for pointing out that the lower bound in the proof of Theorem 1.5 can be stated in tensor language and is thus equal to the determinant’s tensor rank."