ARCHIVAL VERSION —[A Minimal Axiomatic Derivation of the Structural Integer N = 42 (N42 v2)]

Archival record. This paper predates the current MOF–SRT–FDC–PFC framework and is retained for historical and priority purposes. Its subject matter has been revised, absorbed, or superseded by the current framework papers.

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This short paper presents a minimal axiomatic derivation of the structural integer N_core = 42.

The derivation starts from six foundational constraints: Finite Distinguishability (FD), Non-Privileged Representation (NPR), Single Serial Ledger (SSL), Mapping Stability (MS), Distinction Preservation (DP), and Distinction Generation Exclusion (DGE). These are supplemented by one explicit Structural Closure Condition (SCC) and the Minimal Closure-Core Specification Discipline (MCCS).

The construction proceeds through four typed structural components: a role layer with n_r = 3, a relational layer with n_rel = 11, a phase layer with n_ph = 9, and an address layer with n_h = 19. Structural independence and finite disjoint additivity then give

N_core = 3 + 11 + 9 + 19 = 42.

The paper is intentionally narrow in scope. It makes only the Level-1 mathematical claim that N_core = 42 follows from the stated finite structural system. No physical constant, mass ratio, or ontological interpretation is asserted in this short paper. Such readings, if considered, belong to separate companion work.