Rungs / Z12289[x] / (xn + 1)

Five rungs. One ring.

Every rung starts at the trivial bar, norm q = 12,289 (normSq 151,019,521), and a new record must cut the squared norm by at least 2%. Each portrait is that ring's real fingerprint: the n roots of xn + 1 mod 12289, laid on a 111 by 111 grid of residues. The instance h for each rung does not exist until drand picks it after launch.

Falcon-512 today reads
Untouched
Reading the chain
Rungs
bar and floor are euclidean norms of (f, g) · floor is the Gaussian heuristic, a model