Reproducibility audit · 2026-09-14

Canonical record incomplete for standalone E1 reproducibility: package and library versions, full numerical datatype declaration, norm and tolerance contract, and a hash-identified runnable result package are not all present. The finite reconstruction remains reproducible. Evidence scope is unchanged.

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CITADEL VERDICT · PASS · E0 + E1

Independent NumPy reconstruction from spin-2 SU(2) generators through the 125-dimensional tensor cube reproduces the canonical E47/Kartekeya finite spectral core and optimal Richardson contraction constants.

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Certificate identity

• Certificate: MC-KARTEKEYA-SPEC001-IV-20260912
• Object: E47 / Kartekeya SPEC 001 finite spectral core and optimal Richardson contraction
• Evidence: E0 exact identities + E1 deterministic numerical reconstruction
• Environment: Python / NumPy float64 reconstruction executed independently in this session
• Seed: 47 for the live contraction witness

Reconstructed chain

$$ V_2^{\otimes 3}\xrightarrow{J_a^{\mathrm{tot}}}C\xrightarrow{K=(C-6I)(C-30I)}K^2\xrightarrow{\Gamma_*=I-\varepsilon_*K^2}P_{47} $$

Machine checks

• Carrier dimension: 125 · PASS
• Casimir spectrum: {0,2,6,12,20,30,42} · PASS
• Multiplicities: {1,9,25,28,27,22,13} · PASS
• Kernel dimension: 47 · PASS
• Selected shells: 25 + 22 = 47 · PASS
• $\Omega_c=47/125=0.376$ · PASS
• Positive complement minimum of $K^2$: 11664 · PASS
• Maximum of $K^2$: 186624 · PASS