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Every label scheme used in this repository, in the program charter, and in the atlas resolves here. If a public Arithmon document mentions M3, C4, N2, or a D-numbered decision, this is the key.

Label Meaning Defined in
M1 to M6 Milestones of the methodology paper LEDGER.md
C1 to C5 Framework-independent inclusion criteria for the observable list (dimensionless; measured; category completeness; algebraic independence within category; scheme and scale declared) ../freeze/OBSERVABLES_FREEZE.md
Cat A to Cat G The admitted observable categories (gauge couplings, charged-lepton ratios, quark ratios, CKM, PMNS, boson ratios, cosmology) ../freeze/OBSERVABLES_FREEZE.md
N0 to N3 The four null models: accidental-match baseline (N0), complexity-matched expression search (N1), adversarial alphabet (N2), permutation (N3) ../scripts/ and LEDGER.md
G_INT, G_STRUCT, G_TRANS The three expression grammars: small-integer arithmetic baseline, declared structural alphabet, transcendental extension ../freeze/GRAMMARS_FREEZE.md
kappa_MDL, kappa_NODE The two complexity measures: description length in bits (primary), bare node count (secondary) ../freeze/GRAMMARS_FREEZE.md
D1, D2, ... Dated entries in the decisions ledger LEDGER.md

A worked case study assigns its own per-relation claim identifiers (for example an A-prefixed list for a scored framework). Those are defined where that case study is published, not here: this repository is the instrument, and a worked case study lands in its own paper.