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Closed Canonical ZeroData Nonvacuity Chain

Abstract

Assemble Riemann-von Mangoldt growth into a faithful, exhaustive, nonvacuous ZeroData certificate.

Theorem 1.1 (Count growth to semantic realization).

Lean statement: D5/S3/Weil/ZeroData/CanonicalZeroDataNonvacuityAssembly.canonical_zeroData_closed_chain

Proof. Machine-checked in Lean as D5/S3/Weil/ZeroData/CanonicalZeroDataNonvacuityAssembly.canonical_zeroData_closed_chain (✓ std3). ∎

Source. Repository-derived.

Commentary.

The certificate contains an actual ZeroData value, exact representation of every nontrivial zeta zero by a unique index, positive analytic multiplicity, faithful reflection and conjugation, and finite symmetric spectral cutoffs.

The chain is logically closed downstream of the explicit canonical Riemann-von Mangoldt source. A hypothesis-free provider requires the global Riemann-von Mangoldt assembly to be admitted separately.

References