Scalability has always been a bottleneck in the advancement of blockchains. To tackle this challenge, Lagrange emerges as a revolution: a decentralized network of zero-knowledge proofs (ZK) that functions as a secure, accessible, and virtually unlimited computing layer.

Powered by the native token $LA , this infrastructure allows any blockchain to delegate heavy computations off-chain, maintaining trust through succinct on-chain verifications.

1. Why is Lagrange Different?

Infinite Proofs

The #Lagrange delivers the first layer of infinite proofs, uniting a ZK Proof Network with a hyper-parallel ZK Coprocessor. This combination ensures continuous cryptographic verifications for cases ranging from rollups to artificial intelligence and even communication between blockchains.

Robust and Decentralized Infrastructure

Running on EigenLayer and operated by over 85 top nodes — including Coinbase, Kraken, and OKX — the network ensures proof generation at scale, without censorship risk.

ZK Coprocessor: Smart Queries

Based on SQL, the ZK Coprocessor allows executing complex off-chain calculations, such as historical data queries, and proving results directly on the blockchain.

DeepProve: Auditable AI

The DeepProve innovation makes it possible to verify outputs from AI models, such as GPT-4 or Llama-3, at speeds up to 158x faster than competing solutions — a crucial advancement for sectors requiring compliance.

Resource Efficiency with DARA

The Double Auction Resource Allocation system (DARA) distributes tasks fairly, economically, and collusion-proof.

2. The Role of the Token $LA

• Value Cycle: the demand for proofs generates demand for $LA. Payments can be made in ETH, USDC, or LA, but always return to the ecosystem in the form of token buybacks.

• Staking and Incentives: fixed annual issuance of 4%, distributed to validators according to proof volume. Holders can delegate or stake, reducing the circulating supply.

• Tokenomics:

• Total supply: 1 billion LA

• Initial circulating supply: 193 million (~19.3%)

• Airdrop: 15 million (1.5%) via Binance's HODLer program

• Unlocks: investors and contributors have a 1-year initial lock, followed by gradual release; community funds release over 4 years.

3. Growth and Ecosystem

The @Lagrange Official raised $17.2 million with support from giants like Founders Fund, Coinbase, and Fenbushi Capital.

• Volatility in Listings:

• On Coinbase, the price jumped from $0.25 to $1.50 in 24h (+216%).

• On Binance, it dropped from $0.67 to $0.41 (–32%).

• Organizational Structure:

• Lagrange Foundation: focuses on governance and ecosystem.

• Lagrange Labs: dedicated to research and new ZK solutions.

4. Use Cases and Real Applications

• NFTs: Azuki already uses the ZK Coprocessor for on-chain rarity insights.

• DeFi: Gearbox applies verifiable proofs for cross-chain rewards without limitations from old contracts.

• Health and AI: DeepProve enables auditing AI models in regulated environments, such as DiagnosTech tests.

• Scalability: the network connects different rollups and isolated ecosystems, reducing costs and operational complexity.

👉 Summary: The #Lagrange is not just another ZK protocol. It is an infinite computing layer that unites scalability, verifiability, and interoperability, providing the foundation for a new era of decentralized applications.