Overview

Lambdachain is a perpetual futures exchange built as a zero-knowledge rollup on STRATO. You trade 50+ markets from one cross-margined account, the dollar you hold earns yield while it sits there, and every batch of trades is settled with a cryptographic proof that the rules were followed.

The short version

• Trade perpetuals on crypto, US equities, indices, metals and energy, with up to 20× leverage on the majors, from a single account.
• Earn on every dollar in the account. Deposits become USDλ, backed one-for-one by USDC in escrow; the interest that escrow earns is paid to everyone holding it — an estimated 5% APY at today's rates. Margin backing open positions earns too.
• Fund with a credit or debit card, Apple Pay, USDC from Ethereum, or by swapping any token you already hold. A deposit credits your account in about a minute, and is settled by a trustless proof once its source-chain block is final.
• Keep custody. Your account is controlled by your key. Collateral sits in escrow contracts, withdrawals are authorised by you, and if the exchange ever stopped running, a proof of your balance is enough to withdraw directly from the settlement contract.

How it fits together

The order book runs off-chain for speed, like a traditional exchange. What is different is what happens next: trades are batched into blocks, independent provers turn each block into a zero-knowledge proof that the matching, margin checks and liquidations were done correctly, and the settlement contract on STRATO verifies that proof before balances become final. Anyone can run a prover; nothing about the exchange's history is private to the operator.