SWhat is claimed?
The manuscript claims that for every exponent nu>2, all sufficiently large denominators q satisfy |pi-p/q|>=q^(-nu) for every integer numerator p. This specifies how exceptionally well fractions can approximate pi, beyond merely proving that pi is irrational. Reported result; not independently verified by WRS. Ranked using a provisional grade and reference estimate for the exact claimed result.
Scientific scope
The denominator threshold may depend on nu and is ineffective. The statement does not imply a uniform c/q^2 bound or bounded continued-fraction entries. The Flint–Hills convergence consequence is outside the selected formal statement in the scope note. WRS has inspected the cited statement and source-reported formalization scope where available; it has not audited the full proof or replayed Lean.
Evidence state
The source reports this result. WRS has not independently reconstructed the complete argument or validated the reported evidence. The grade and score here express conditional significance; they do not certify correctness. The provisional value enters the main reference rankings with an unverified label, but not achieved-science progress totals.
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