Lagrange

LA Price

About Lagrange (LA)

Lagrange is a decentralized infrastructure protocol that provides a hyper-scalable Zero Knowledge (ZK) prover network designed to enable verifiable computation for blockchains and artificial intelligence applications.

• Operates as an infinite proving layer that unlocks cryptographic proofs for rollups, decentralized applications, and cross-chain interoperability.
• Features the first production-ready ZK prover network supported by major infrastructure providers such as Coinbase, Kraken, and OKX.
• Integrates with the Ethereum ecosystem as an Actively Validated Service (AVS) on EigenLayer to leverage shared security for its parallel proof generation.

What Is Lagrange

Lagrange is a cryptographic infrastructure layer that addresses the bottleneck of generating proofs for large-scale data on blockchains. Its primary value proposition is the ability to prove complex computations over massive datasets—referred to as "Big Data" in the context of Web3—without requiring users to trust a centralized intermediary.

Value moves through the system by enabling developers to offload intensive computations to the Lagrange ZK Prover Network. This network processes the data and returns a succinct proof that verifies the computation was performed correctly according to the original source data. The LA token is put to work through staking mechanisms, where participants secure the network's operations and proof generation tasks. This model is designed to scale as the demand for verifiable off-chain computation and Layer 2 scaling solutions grows within the broader ecosystem.

What Makes Lagrange Unique

• SQL-Based ZK Coprocessor: Unlike many ZK systems that require custom circuit programming, Lagrange utilizes a SQL-based coprocessor, allowing developers to write queries in a familiar language to access and compute over historical blockchain data.
• Infinite Proving Layer: The architecture is designed to scale horizontally, meaning it can support an unlimited number of proofs for diverse use cases simultaneously, from simple transaction verification to complex AI model inference.
• DeepProve Technology: Lagrange extends ZK capabilities into the Artificial Intelligence sector with DeepProve, a system capable of proving full Large Language Model (LLM) inference, ensuring that AI outputs are verifiable and tamper-proof.
• Multi-Chain Interoperability: Through its State Committees, Lagrange enables trustless cross-chain state access, allowing different blockchain networks to communicate and verify each other's data with minimal latency.

What Can You Use Lagrange for?

• Verifiable AI Inference: Developers can use Lagrange to prove that a specific AI model generated a particular output, which is critical for security in automated defense and financial systems.
• Cross-Chain Queries: Applications on one network, such as Arbitrum or Mantle, can trustlessly query historical data from another network like Ethereum using Lagrange’s state proofs.
• Yield Generation via Staking: Token holders can stake LA to support the ZK Prover Network as an AVS on EigenLayer, contributing to the protocol's security while receiving incentives for their participation.
• Decentralized Proving for Rollups: ZK rollups can utilize Lagrange to decentralize their proof generation process, reducing the reliance on single sequencers or provers.

How Does Lagrange Work?

Lagrange functions by utilizing a decentralized network of operators who generate ZK proofs for specific computational tasks. The core mechanism involves a ZK Coprocessor that can access arbitrary storage slots across different block ranges on a blockchain. For instance, if a developer needs to compute the average price of an asset over the last 50,000 blocks, they specify the memory slots and the computation required.

The Lagrange network then executes this computation in parallel and generates a zero-knowledge proof. This proof confirms both the inclusion of the data in the blockchain and the validity of the computation itself. To maintain security, the network operates as an Actively Validated Service (AVS), meaning it is secured by restaked assets on EigenLayer. Users of the network pay protocol service fees to the operators who provide the computational power and proof generation services.

Team Info and Investors

Lagrange was developed by Lagrange Labs, a team specialized in cryptography and distributed systems. The project is led by founder Ismael Hishon-Rezaizadeh. In May 2024, Lagrange Labs announced a $13.2 million seed funding round to accelerate the development of its ZK coprocessing technology. The project has established strategic partnerships and integrations with prominent industry players, including EigenLayer, Arbitrum, AltLayer, and Matter Labs. Furthermore, its prover network is supported by professional infrastructure operators such as Coinbase, Kraken, and OKX, ensuring institutional-grade reliability.

Where can you buy Lagrange?

LA tokens can be traded on centralized crypto exchanges. The most popular exchange to buy and trade Lagrange is Bitunix, where the most active trading pair LA/USDT has a trading volume of $76,047.51 in the last 24 hours. Other popular options include Binance and Bybit.

What is the daily trading volume of Lagrange (LA)?

The trading volume of Lagrange (LA) is $7,651,937.95 in the last 24 hours, representing a 1.80% increase from one day ago and signalling a recent rise in market activity. Check out CoinGecko’s list of highest volume cryptocurrencies.

What is the highest and lowest price for Lagrange (LA)?

Lagrange (LA) reached an all-time high of $1.72 and an all-time low of $0.06313. It’s now trading -96.20% below that peak and 3.70% above its lowest price.

What is the market cap of Lagrange (LA)?

Market capitalization of Lagrange (LA) is $12,643,868 and is ranked #1006 on CoinGecko today. Market cap is measured by multiplying token price with the circulating supply of LA tokens (190 Million tokens are tradable on the market today).

What is the fully diluted valuation of Lagrange (LA)?

The fully diluted valuation (FDV) of Lagrange (LA) is $65,512,270. This is a statistical representation of the maximum market cap, assuming total number of 1 Billion ETH tokens are in circulation today.

How does the price performance of Lagrange compare against its peers?

With a price decline of -9.70% in the last 7 days, Lagrange (LA) is underperforming the global cryptocurrency market which is down -5.40%, while underperforming when compared to similar Ethereum Ecosystem cryptocurrencies which are up 12.70%.

How to add Lagrange (LA) to MetaMask?

Adding Lagrange (LA) to MetaMask allows you to view your token holdings, trade on decentralized exchanges, and more. To add them, you’ll need to import LA as a token. You can copy LA’s contract address (0x0fc2a55d5bd13033f1ee0cdd11f60f7efe66f467) and import it manually, or if you've installed MetaMask's chrome extension, add LA to MetaMask with one click on CoinGecko.

Add LA to MetaMask.