Code change:
It seems like there's a major thing missing here, namely how the sender of a Commit transmits the new node signatures to the other members of the group. We need something like that before this lands. The most obvious approach would be to add a field to DirectPathNode, as you have with RatchetNode.
It would also be handy to include in the intermediate node an indication of which leaf signed it. Otherwise you have to do "trial verifications" (cf. trial decryption), which is expensive.
Was this addressed? it's mentioned that the signature should be transmitted in "Synchronizing Views of the Tree" but there's no signature in the transmitted DirectPathNode
NAME changes the strategy for signing the tree, everything should be sorted out there.
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Related discussion:
text: the "tree" array divided by two. Construct a new group state using the information in the GroupInfo <del> object.  The new member's position in the tree is "index", as defined above. </del> <ins> object and verify the integrity of the tree using the "tree_hash". The new member's position in the tree is "index", as defined above. </ins> Identify the lowest node at which the direct paths from "index" and "signer_index" overlap.  Set private keys for that node and