Copy full text Update notice (in effect until August 22, 2026): This article was updated on July 23, 2026 to correct numerical values and terminology superseded by later developments in the ArXe corpus. ArXe Number-Arity Identity: Rigorous Foundation Author: Diego Luis Tentor Date: December 2025 Status: Core Theoretical Foundation Version: 1.0 Abstract We address the fundamental objection to ArXe theory:…