Kaplansky idempotent conjecture via group-algebra rigidity persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.

General Langlands functoriality via transfer-packet persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.

p-adic Hodge Theory via period-realization persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.

Trace-Formula Endoscopy via stable-transfer persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.

Anabelian Reconstruction via fundamental-group persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.

The Bloch-Beilinson conjectures via motivic-filtration persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.

The Bloch-Kato conjecture via Selmer-L-value persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.

Unlikely Intersections Ecology via atypical-family persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.

The Hodge Conjecture via Hodge-class persistence and rigidity on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.

The Zilber-Pink Conjecture via unlikely-intersection persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.

The Grothendieck-Serre Conjecture via principal-bundle triviality persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.

Sato-Tate general forms via equidistribution persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.

Anabelian Hyperbolicity via section-reconstruction persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.

Local Langlands Correspondence via packet-parameter persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.

Infinitely many Mersenne primes via exponential-prime persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.

Schanuel's conjecture via exponential-algebraic persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.

Companion Forms via weight-companion persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.

The Jacobian Conjecture via polynomial-inverse persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.

The Milnor conjecture on special values via polylogarithmic regulator persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.

The Generalized Riemann Hypothesis via L-function zero persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.