Struct Refound 

pub struct Refound {
    pub cut: u64,
    pub base: BTreeSet<PublicKey>,
    pub rumor_id: [u8; 32],
}

A Refounding’s guestbook replaces the old one. A local store appends across epochs, so without this a member whose Join predates a Refounding stays “Joined” forever on any client that never witnessed their Kick — and every client’s count drifts by whatever it happened to miss.

The guest list is the union of every honored snapshot ON THE LIVE EPOCH (the minter’s refound snapshot plus any addendum it publishes later — within one epoch, snapshots only ever add). Any Joined state won by an entry from an EARLIER epoch, and not in that list, becomes Verdict::Refounded at the refound’s time. Entries that never got an epoch stamp are judged by time: older than the refounding means an earlier plane. Forward observation re-admits as usual — posting after the cut needs the new key.

Nothing happens without an epoch-stamped, honored snapshot: a store that only knows one plane, or one that has not synced since a rotation, is left exactly as it was. The live epoch’s refounding, as a guest list plus the moment it took effect. The base is the union of every honored snapshot ON THE LIVE EPOCH (the refound snapshot plus any addendum — within one epoch snapshots only add); the cut is the earliest of them, the refound itself.

Fields

cut: u64

base: BTreeSet<PublicKey>

rumor_id: [u8; 32]