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Let me know if I can help! If you are interested in new developments in this area, I can recommend reading the papers of Stefan Walzer. His work is quite amazing.



I was just looking at this paper of his per your comment: https://arxiv.org/pdf/2210.01560.pdf

You know, looking at figure 2 and 3 I was thinking so sure it is a mapping structure but really looks like a tiny tiny database! I had no idea phfs were so involved structurally. Reminds me of delicate tiny clockworks.




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