candidate	intrinsic_object	exact_frontier	decisive_first_gate	census_risk	decision
Energy-shell quantum bootstrap	filtered ordered Weyl quotient	Keren Conjecture 1 momentum bound	order-unit certificate or recession functional	low if kept universal	selected
Radial Moebius algebra	canonical D_beta cyclic module	log-concavity and top-heaviness	Lefschetz or Lorentzian associated graded	high after structural failure	rejected
Critical scalar-curvature decay	asymptotic scalar-curvature coefficient	Gromov construction direction	universal PSC block filling	low but first gate too remote	rejected
Varying-boundary log canonical models	log-model chamber decomposition	finiteness for remaining minimal surfaces	handle remaining minimal types	high classification risk	rejected
K-theory of quotient ring spectra	continuous K-theory of nuclear modules	named questions largely answered	no comparably explicit residual question	low	rejected