The abc Conjecture via height-defect persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.

Vojta's conjecture via height-counting persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.

The Bombieri-Lang Conjecture via rational-point sparsity persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.