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Add AELYRION-NOULITH III research v3.0.0 (hf.1)
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Claim ledger — v3.0.0

“New candidate” means developed here and not matched by the targeted comparison. It does not certify worldwide priority. The manuscript contains full mathematical hypotheses and proofs.

Result Mathematical scope Status
Restricted-block row ideals Exact direct-sum row module and supported generators Retained candidate operational integration
Finite analytic ideal realization Prescribed generators explicitly stored in coefficients Retained construction; not free computation
Arc-blind examples Same arc orders, different ideal membership Observation realization of an established algebraic distinction
Elliptic m-fold point Second-deficit axes-plus-diagonal curve Known geometry; Smyth/Stevens credited
Third-deficit classification m >= 6, independent parameters, reduced analytic germ near exterior point New candidate theorem with proof
Six-channel threshold Dense rational m=5 counterexample Exact counterexample
Intrinsic linear rigidity Aut_lin(Z_m) = C* x S_m New candidate theorem with proof
Selected-component budget ceil(2(m-1)/3) whole twin constraints New candidate sharp theorem; not sample complexity
Full-state rank loss Exact indicator formula; double-star locus New candidate consequence with proof
Scalar certificate algorithm O(m^4) exact rational scalar operations Proven algorithm; bit complexity excluded
Core-capacity law Generic rank for arbitrary core size and r >= 1 New candidate model-specific law
Analytic feedback factorization Complete joint analytic frame, finite analytic transcript Explicit theorem under restrictive hypotheses; not a universal claim about adaptivity

The all-size results are supported by written mathematical arguments. The 1,028 test cases and the two enumerations do not independently certify all analytic proofs. No theorem is counted as globally original merely because its notation or project name is new.