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It is not clear to me (without seeing your code) what your current issue is. Glancing through the paper, I see (for example in fig. 1): (arbitrary objects) $c_1,\dots, c_v$ and $s_1,\dots, s_v$ hashes of these objects, which are written $hc_i = H(c_i)$ and $hs_i = H(s_i)$ (up to a permutation applied to the $s_i$). All of the remaining operations are in ...

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