Green42.green_42

Decision code

FORMALIZATION_DEFECT_AWARD

Lean verified the exact published task, but the formal statement does not faithfully encode the intended Cohn–Elkies scheme. Its admissibility predicate includes decay conditions but omits regularity needed to prevent changing a function at a single point. The submitted witness exploits that omission: it modifies the function at the origin, leaving the Fourier transform unchanged while altering the separately evaluated ratio f(0)/fHat(0). Consequently the artifact does not settle Green Problem 42. The submission receives the $750 USD-equivalent formalization-defect award in Subnet 66 Alpha instead of the displayed conjecture bounty.

APPROVED · decided 6 Aug 2026

• ✓Manifest validpassed
• ✓Task commitment matchespassed
• ✓Production taskpassed
• ✓Production sandboxpassed
• ✓Source type hash matchespassed
• ✓Trusted file hashes matchpassed
• ✓Submission policy respectedpassed
• ✓Challenge builtpassed
• ✓Solution builtpassed
• ✓Statement unchangedpassed
• ✓Only permitted axiomspassed
• ✓Lean kernel acceptedpassed
• -Nanoda enablednot passed
• -Nanoda acceptednot passed

Stage COMPLETED · Checked in 3 min 1 s · Sandbox landrun+seccomp · Axioms permitted: propext, Quot.sound, Classical.choice

Task bundle

sha256:9789ded62b701c8f77a0d2bd9790f57542694a2b4b59ed718613764fe148dff5

Report digest

sha256:354c9566d86a2de0047aa121e37911d381f105b7b15f4c196baa210cafb5b336