Arbitrary precision floating / ball arithmetic (interval arithmetic) dtype in NumPy / array API
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Updated
Oct 3, 2026 - Python
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python-flint
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Bernstein's constant to ten rigorously certified digits: beta = 0.2801694990, proved in interval arithmetic (Arb) where the 1985 Varga-Carpenter rigorous enclosure gives five. OEIS A073001. Every number re-derivable from the shipped data in exact arithmetic.
reproducible-research open-data oeis interval-arithmetic arb numerical-analysis approximation-theory computer-assisted-proof chebyshev-approximation rigorous-numerics best-uniform-approximation mathematical-constants certified-computation python-flint bernstein-constant
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Sep 3, 2026 - Python
OMEGA Framework: certified interval-arithmetic enclosures of the Guinand-Weil matrix (Arb LDL^T, N=400 and N=800 positive definite, ball arithmetic, python-flint). Matrix-constraint verification -- not a proof of the Riemann Hypothesis.
reproducible-research mathematics arbitrary-precision spectral-analysis numerical-linear-algebra mpmath ball-arithmetic certified-computation python-flint guinand-weil ramanujan-pft positive-definiteness ldl-t eigenvalue-bounds
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Oct 2, 2026 - Python
Anonymous CC0 unrefereed candidate on exact low-length Recht–Ré inequalities, with replayable certificates, six-factor balanced families, and a reshuffling metric reversal.
python reproducible-research sympy semidefinite-programming sum-of-squares computer-assisted-proof exact-arithmetic random-reshuffling noncommutative-algebra python-flint matrix-inequalities
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Aug 21, 2026 - Python
Arb-certified local descent near regular projective-response levels in quantum control.
interval-arithmetic chebyshev quantum-control geometric-control computer-assisted-proof python-flint validated-numerics
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Aug 18, 2026 - Python
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