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

Global Langlands reciprocity via compatibility persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.

p-adic Hodge Realizations via period-filtration 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.

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

The Buzzard-Gee Conjecture via automorphic-Galois compatibility persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.

The Breuil-Mezard Conjecture via multiplicity-cycle persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.

The Fontaine-Mazur conjecture via geometric-Galois persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.

p-adic Langlands via p-adic packet persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.

Local-Global Langlands Compatibility via compatibility persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.

The Artin Holomorphy Conjecture via Artin L-function regularity persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.