PRISM Review Awards

We want you to peer review our work.

Every paper below is published in full, with its source. Show us where one is wrong.

$100,000

in PRISM Research Credits

Disproof Award

A rigorous proof that a paper's main result is false: a valid counterexample, a proof of the negation, or an irreparable gap that leaves the main result unsupported.

$10,000

in PRISM Research Credits

Substantive Error Award

A real mathematical error that changes a theorem statement, lemma, proof step, bound or computed value, even if the main result survives.

Awards are PRISM Research Credits for research with METRIQ PRISM Laboratory. They have no cash value and cannot be transferred or sold.

What doesn't qualify

Typos, formatting, notation, wording, citations or references, style or clarity suggestions, and anything already listed in a paper's record or the repository's issue tracker. We still welcome these as ordinary feedback.

Eligible papers

The current published version of each paper below that presents a candidate resolution of an open question. Papers on publication hold, partial-progress papers and research reports are not eligible. A finding that only applies to an earlier version is not eligible.

  1. MF-PRISM-MATH-2026-01An Explicit Cantorval Achievement Set with Convergent Consecutive-Term Ratiov1.3
  2. MF-PRISM-MATH-2026-02An Achievable Cantorval with Full-Dimensional Boundaryv1.3
  3. MF-PRISM-MATH-2026-03Every Infinite Achievement Set Is a Sum of Two Achievement Sets of Hausdorff Dimension Zerov1.4
  4. MF-PRISM-MATH-2026-04An Achievable Cantorval with Zero-Dimensional Boundaryv1.2
  5. MF-PRISM-MATH-2026-06Finite Certificates for Three Unresolved Cardinal-Function Rangesv2.2
  6. MF-PRISM-MATH-2026-08Endpoint Walks Evaluate the Complete Homogeneous Symmetric Norms of Path Graphsv1.2
  7. MF-PRISM-MATH-2026-09A Bessel-Factorization Proof of Mathar's Recurrence for Type-ace Lattice Walksv1.1
  8. MF-PRISM-MATH-2026-11A Weighted Roller-Coaster Theorem for W_p Graphsv1.1
  9. MF-PRISM-MATH-2026-12Scaling Obstructions in the Multigeometric Residue Problemv1.1
  10. MF-PRISM-MATH-2026-14Catalan Kernels for Augmented Aztec Rectanglesv1.2
  11. MF-PRISM-MATH-2026-15Exact Dyadic Valuations for Step-Diagonal Domino Constraintsv1.1
  12. MF-PRISM-MATH-2026-16Ordered Polynomial Crossings in Balanced Partition Modelsv1.1
  13. MF-PRISM-MATH-2026-17A Universal Odd Divisor for Single-Domino Constraintsv0.2
  14. MF-PRISM-MATH-2026-18Prime Obstructions to Integral Smith Forms of Schur Matricesv0.2

How to submit

  • Send one complete write-up per finding to [email protected], or open an issue on MetriqOrg/PRISM titled "Review Award".
  • Name the paper ID and version, the exact location, the claim you dispute, and your full argument. Computational evidence must include runnable code.
  • Partial ideas, conjectures and "this looks wrong" do not qualify for an award.

How we decide

  • We review every submission and reply within 60 days.
  • Every Disproof Award, and any disputed Substantive Error Award, also requires sign-off from at least one independent mathematician with no METRIQ affiliation, selected by METRIQ when the submission arrives.
  • The first valid submission of a finding receives the award. Errors with the same root cause count as one finding. At most one Disproof Award is given per paper.
  • Our decision, with independent sign-off where required, is final.

Credit and corrections

With your permission, we credit you by name in the paper's record and changelog. Every confirmed error or disproof is published with a corrected version or a retraction.

Eligibility and terms

  • Open to individuals 18 and older. METRIQ employees, contractors, paper co-authors and their households are excluded.
  • PRISM Research Credits are valid for one year from the date they are issued, unless extended on request through METRIQ. They are redeemed through a scoped research agreement and count toward the PRISM Research Credits program.
  • Void where prohibited. Recipients are responsible for any taxes that may apply.
  • This is an open challenge with no end date. METRIQ may update these rules with 30 days' public notice on this page. Submissions are always reviewed under the rules in effect when they were sent.