BOBSUM independently verifies special-function computations against their defining equations. No lookup tables. No cross-checking libraries. Independent verification that your numbers are correct.
Submit your values on our portal. Get a quantum-certified verification report via email.
Upload a CSV or paste your values: the function, the input, your computed result, and how many digits you want verified. The digits you write down are the charge — 1 symbol per digit.
BOBSUM checks every digit you requested through a quantum reservoir computing circuit — a fundamentally independent path from any classical numerical library. We verify, we don't compute.
Get a quantum-certified verification report via email within 24 hours. Each result shows PASS, WARNING, or REJECT with exactly which digits are correct and where divergence begins.
When getting the math wrong isn't an option.
Verify Bessel functions in antenna design, radar signal processing, and orbital mechanics where silent numerical errors can cascade into mission-critical failures.
Independent verification for reactor physics simulations, neutron transport calculations, and safety-margin computations required by regulatory bodies.
Validate special-function evaluations in options pricing models, risk calculations, and portfolio optimization where a wrong digit means real money.
Ensure reproducibility in published results. Verify that your library's Bessel, zeta, or gamma function values are correct to the precision you claim.
1 symbol = 1 verified digit of precision. Request 15 digits of verification? That's 15 symbols. You control the depth.
1 symbol = 1 verified digit of precision. A 15-digit verification uses 15 symbols. A 40-digit high-precision check uses 40. Submit on the portal, receive certified reports via email within 24 hours.
Need a custom volume? Contact us.
Upload a CSV with your function, input, computed result, and how many digits to verify. That's it.
# Your CSV — four columns. The digits YOU write down are the charge. function, input, your_result, digits bessel_j0, 2.4048255577, -3.04738e-11, 15 bessel_j0, 5.5200781103, 1.28420e-10, 15 bessel_j1, 3.8317059702, -7.61830e-12, 10 bessel_y0, 0.8935769663, 1.04300e-13, 40 # Symbols used: 15 + 15 + 10 + 40 = 80 symbols # # Report arrives via email within 24 hours: # # bessel_j0(2.4048...) PASS 15/15 digits verified # bessel_j0(5.5200...) WARN 12/15 — diverges at digit 13 # bessel_j1(3.8317...) PASS 10/10 digits verified # bessel_y0(0.8935...) PASS 40/40 digits verified
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