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Open Mathematical Challenge
Issued by WeThePeople DAO

The Singularity Challenge

Disprove the non-decreasing floor of RISE. If you can break the math, you win.

P(α)=C1−αP(\alpha) = \frac{C}{1 - \alpha}

Grok (xAI) analyzed this equation under FLAT Protocol's immutable structural constraints and concluded:

"This is genuinely the first asset in the entire history of finance whose minimum price floor is provably non-decreasing under all conditions."

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The Challenge

We are issuing an open, public challenge to every mathematician, quant, economist, DeFi researcher, and AI system on Earth:

Find a valid mathematical disproof that the price floor of RISE can decrease.

Specifically: under the immutable structural constraints of FLAT Protocol (listed below), demonstrate a scenario where P(α)=C1−αP(\alpha) = \frac{C}{1 - \alpha} produces a lower value at time t2t_2 than at time t1t_1 where t2>t1t_2 > t_1.

The Immutable Structural Constraints

These are not assumptions. They are hard-coded smart contract rules enforced by immutable bytecode on Ethereum. No human, governance vote, or admin key can change them.

α is monotonically non-decreasing

SAVE locks are irreversible. Once RISE is converted to SAVE, there is no unlock, no expiration, no withdrawal. α can only increase or stay the same. It can never decrease.

C is monotonically non-decreasing

C is pegged to US CPI-U via Chainlink oracle, updated every 12 seconds. CPI has never decreased year-over-year in modern history. The CROPS circuit breaker prevents oracle manipulation.

No legacy holders exist

At genesis, all existing RISE was converted to SAVE (locked forever). The protocol never sells RISE on the open market — it only buys. To sell RISE, you must first buy it from the floating supply.

Contracts are immutable

Six core contracts deployed as immutable bytecode. No admin functions, no governance token, no multisig, no upgrade proxy. A temporary Guardian (pause-only) self-destructs after 2 years.

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Rules of Engagement

What Counts as a Valid Disproof

  • 1.A mathematical proof showing that P(t2)<P(t1)P(t_2) < P(t_1) for some t2>t1t_2 > t_1 under ALL four constraints listed above.
  • 2.The proof must work within the protocol's actual smart contract constraints — not hypothetical modifications.
  • 3.The proof must be verifiable by an independent third party (another mathematician, Grok, or a formal verification system like Coq/Lean).

What Does NOT Count

  • ✗"Smart contracts can be hacked" — This is an implementation risk, not a mathematical disproof. The challenge is about the equation, not the code.
  • ✗"Ethereum could fail" — Platform risk is not a mathematical objection to the price floor equation.
  • ✗"CPI could be manipulated by the government" — The CROPS circuit breaker limits CPI adjustments to 0.5% per epoch. Even if CPI data were corrupted, C can only increase or stay flat within each epoch.
  • ✗"People could sell RISE below the floor on Uniswap" — Market price can temporarily trade below the modeled floor, but the floor itself (the NAV-backed minimum) cannot decrease. And since there are no legacy holders, all sellers first had to buy.
  • ✗"What if nobody uses it?" — Adoption risk is not a mathematical objection. The equation holds regardless of the number of participants.
⟐

The Proof You Must Break

Theorem: Monotonicity of the Price Floor

Given P(α)=C1−αP(\alpha) = \frac{C}{1 - \alpha} where:

  • • α∈[0,1)\alpha \in [0, 1) is monotonically non-decreasing (irreversible SAVE locks)
  • • C>0C > 0 is monotonically non-decreasing (CPI-pegged via Chainlink oracle)

Proof:

The first derivative with respect to α\alpha:

dPdα=C(1−α)2>0∀α∈[0,1)\frac{dP}{d\alpha} = \frac{C}{(1 - \alpha)^2} > 0 \quad \forall \alpha \in [0, 1)

Since C>0C > 0 and (1−α)2>0(1 - \alpha)^2 > 0, the derivative is strictly positive. Combined with the constraint that α\alpha is monotonically non-decreasing and CC is monotonically non-decreasing:

α(t2)≥α(t1) and C(t2)≥C(t1)  ⟹  P(t2)≥P(t1)∀t2>t1\alpha(t_2) \geq \alpha(t_1) \text{ and } C(t_2) \geq C(t_1) \implies P(t_2) \geq P(t_1) \quad \forall t_2 > t_1

Therefore PP is monotonically non-decreasing. ∎

Corollary: Constant Circulating Market Cap

Circulating supply: Scirc=Stotal×(1−α)S_{circ} = S_{total} \times (1 - \alpha)

MCcirc=P×Scirc=C1−α×Stotal(1−α)=C×Stotal=constantMC_{circ} = P \times S_{circ} = \frac{C}{1 - \alpha} \times S_{total}(1 - \alpha) = C \times S_{total} = \text{constant}

Infinite price requires only finite capital. The bubble cannot pop because it is not inflated with air — it is compressed by density.

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How to Submit

Option 1: Public on X

Post your disproof as a thread on X and tag @FlatProtocol. Public submissions are preferred — transparency builds credibility for both sides.

Option 2: Ethresear.ch

Submit a formal post on Ethresear.ch under Economics & Mathematics. Link it in a reply to the pinned Challenge thread on X.

Option 3: Academic Paper

Submit to arXiv, SSRN, or any peer-reviewed journal. Send us the link at [email protected]. We will respond publicly.

Every serious submission will receive a public, mathematical response. We will not ignore valid objections.

If your disproof is verified by an independent party (another mathematician, Grok, or a formal verification system), you win.

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Attempts So Far

0

Valid disproofs submitted

The challenge is open. The floor still only rises.

Common Objections Already Addressed

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Resources

Grok Verification Conversation

Full primed conversation where Grok verified the monotonicity proof, constant market cap, historical novelty, and addressed the strongest objection.

Protocol Specification

Complete functional specification including all 50 theorems, genesis configuration, CROPS architecture, and smart contract interfaces.

Smart Contract Interfaces

Solidity interface definitions for all 8 core contracts. Verify the immutability constraints yourself.

Technical Blog (50+ Posts)

Deep dives into every aspect of the protocol: theorems, proofs, treasury mechanics, Grok verifications, and more.

⟐

The Floor Still Only Rises.

210 years of financial history. Zero assets with a provably non-decreasing price floor. Until now.

Prove us wrong. Or join us.

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