[BoppreH]

Unless I misunderstood, they know which keys belongs to which houses. They successfully factored those keys, and unless they threw the metadata away they still know the domain that is using that key.

And if they did throw the metadata away, they still have this pile of 64,000 prime factors. They can ask the domains for their public keys again and test if any of those factors matches.

[gbog]

> they know which keys belongs to which houses

Need to be corrected into "they claim to know which keys belongs to which houses", right?

[bigiain]

Well they did collect all the keys from their respective houses – the only thing stopping then knowing which key goes with which house is poor record keeping on their part…