PARADOX — the world's first mathematical token

Markets don't price PRDX — a formula does. Every token is backed by a TON reserve, and built-in deflation makes growth predictable.

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How It Works

Mint & Burn

Deposit TON — receive PRDX. Burn PRDX — reclaim TON. Price = reserve / supply, computed by the smart contract itself. No exchanges, no spreads, no counterparties.

Mine

Deposit PRDX into Mine and choose 2–32 outcomes. One of them lands with a known probability; the reward doubles at each level, capped at 12.5% of supply. On average, 12.5% of the deposit is burned — these tokens raise the PRDX price for every holder. This isn't PoW mining — it's Bernoulli's paradox in action.

Profit

The paradox in action: Bob's risk becomes Alice's gain.

👩 Alice holds PRDX. Each Mine operation Bob runs burns part of the supply — the TON reserve is unchanged, so the price rises on its own. Alice grows wealthier doing nothing.

👨 Bob buys PRDX and runs Mine with the math in mind. His strategy has a −12.5% expected value — on average he loses part of his deposit. But on a winning outcome the reward doubles at every level, up to 12.5% of supply. Bob's 'losses' become Alice's passive gain.

History

In 1738, Swiss mathematician Daniel Bernoulli formulated the St. Petersburg Paradox — a foundational problem in probability theory that challenged classical notions of value and risk. Bernoulli worked at the St. Petersburg Academy of Sciences from 1725, and it was there that he developed the ideas that would transform economic science.

The essence of the paradox: imagine a game where you flip a coin until tails appears. For the first heads you receive 2 coins, for the second — 4, for the third — 8, doubling exponentially. The mathematical expectation of the winnings is infinite, yet no rational person would pay more than a modest sum to play. Bernoulli resolved the paradox by introducing the concept of marginal utility — the idea that the real value of money depends on context and individual preferences.

PARADOX reimagines this centuries-old mathematical concept as a working financial mechanism. The Mine operation uses a finite probabilistic model with two deliberately linked constraints: a deflationary tax of −12.5% on expected value, and a maximum single-operation payout capped at 12.5% of total supply — designed to balance participant incentive with systemic safety. This systematically increases the value of PRDX relative to TON while maintaining full mathematical predictability.

Benefits

Math, not markets

PRDX's price follows a formula: reserve / supply. No exchanges, no speculation — just verifiable math.

100% TON backing

Every PRDX is backed by TON in a smart contract. The reserve is visible on-chain at any time — no trust required.

Transparent rules

Protocol logic lives in smart contracts and runs automatically. No hidden conditions, no manual intervention.

Deflation as the engine of growth

The TON reserve stays put while PRDX supply shrinks — the price rises by formula. Not a forecast, but how the protocol works.

Two strategies, your choice

Hold PRDX and earn from deflation — or run Mine for a chance to multiply your deposit. Both strategies work, and each reinforces the other.

Symbiotic economy

Mine participants' risk becomes price growth for every holder. One person's losses become everyone else's passive income.

FAQ

What makes PRDX different from all other tokens?
PRDX's price is set by a formula, not a market: reserve / supply. Every token is 100% backed by TON, and the Mine operation systematically burns part of the supply — so the price rises through math rather than speculation. All rules live in smart contracts and are verifiable on-chain — no intermediaries, no manual tuning.
How is PRDX different from stablecoins?
Stablecoins aim for stability by pegging to external assets. PRDX builds a resilient economy with controlled deflation — every token is 100% backed by TON, but has a built-in mechanism for value growth through the mathematically guaranteed reduction in supply.
What determines the price of PRDX?

Value has a dual nature:

  • 100% TON backing in reserve (the digital gold standard) — fundamental value verifiable on the blockchain
  • Deflationary mechanism — the Mine operation systematically reduces PRDX supply with a fixed TON reserve, creating mathematically predictable price growth
What is the Mine operation?

A probabilistic operation based on a finite adaptation of Bernoulli's St. Petersburg Paradox. You deposit PRDX and choose the number of outcomes (2–32): exactly one lands with a predetermined probability, and the reward doubles at each level — capped at 12.5% of supply.

On average, 12.5% of the deposit is burned: these tokens raise the PRDX price for every holder.

How does PARADOX differ from the classic St. Petersburg Paradox?

The classic paradox has infinite expected value and unlimited payout — theoretically elegant, but economically unworkable. PARADOX introduces two key constraints:

  • Negative expected value (−12.5%) — powers the deflationary engine
  • Maximum payout cap (12.5% of total supply) — protects the system from a single destructive operation

This transforms a theoretical construct into a stable economic model.

What is the core paradox of the system?
Risk, which in traditional economics is considered destructive, becomes a constructive force here. The individual 'losses' of Mine participants are transformed into collective benefit through the deflationary mechanism, increasing token value for all holders. The more active Bob is — the wealthier Alice becomes.
Is Mine gambling?
No, it is an economic mechanism with fully transparent mathematics. Unlike gambling, all algorithms are open, probabilities are known before the operation is performed, and individual risk creates systemic value for all participants. It is a tool for those who want to manage risk according to clear mathematical rules.
Can you lose funds in Mine?
Yes, and this is a deliberate part of the economic model. The negative expected value (−12.5%) ensures that Mine participants lose a portion of their deposit on average. These 'losses' create the deflationary pressure needed for PRDX to grow in value over the long term — meaning they are directly beneficial to all token holders.
What do passive PRDX holders earn without doing anything?
Passive benefit from the system's operation. The deflationary pressure created by Mine participants systematically reduces PRDX supply with a fixed TON reserve — leading to a natural increase in price. Alice earns without any action, simply by holding tokens.
Can the price of PRDX fall?
Short-term fluctuations are possible due to changes in the reserve-to-supply ratio and TON volatility. However, the mathematical model creates sustained long-term deflationary pressure that forms a tendency toward value growth. The maximum possible price drawdown at any moment is known and bounded by the protocol's parameters.
What participation strategies are most effective?

👩 Conservative (Alice): long-term holding of PRDX — minimal risk, passive value growth from other participants' activity.

👨 Active (Bob): participating in Mine with the aim of multiplying tokens through transparent probabilistic mechanics.

The system benefits both and becomes more resilient with every new participant.

What are the protocol's risks?
  • TON volatility (the reserve asset) — PRDX inherits the volatility of its base asset
  • Systematic risk for Mine participants (negative expected value)
  • Liquidity risk in the early stages of protocol development

The model is self-balancing: the deflationary mechanism creates upward counter-pressure, and Mine operation limits protect against destructive impacts.