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Lagrange Overview
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About Lagrange
ZK Prover Network
The ZK Prover Network is a decentralised network of operators responsible for generating zero-knowledge proofs on demand. These proofs can be used for validating:
- ZK rollup state transitions
- Smart contract execution traces
- Machine learning model inference
- Cross-chain state reads
The network includes cryptoeconomic incentives and penalty mechanisms, ensuring liveness and correctness. It is built to integrate with restaking protocols, such as EigenLayer, to borrow security from established chains.
ZK Coprocessor
The ZK Coprocessor allows applications to perform SQL-style queries over on-chain state and obtain cryptographically verified results. It supports complex analytical queries, set membership verification, and recursive proof aggregation. Key technical capabilities include:
- Execution of computations over Merkle tree-based state representations
- Proof compression and recursion to maintain verification efficiency
- Multichain compatibility via verifiable state bridging
This system permits L2 and L1 chains to access consistent, composable, and verifiable data insights from other blockchains without introducing trust assumptions.
LA is the native utility token of the Lagrange ecosystem and supports the following functions:
Fee Payments: Users and clients pay for proof generation and query results using LA. If alternative tokens are used, a portion is allocated for LA buybacks to maintain demand.
Staking and Delegation: Network provers must stake LA to perform operations. Delegators can participate in staking, earning a share of the rewards and strengthening network security.
Subsidy Distribution: The protocol issues fixed LA emissions to subsidise proof generation costs. These emissions are proportionally allocated based on the proof volume produced by each prover.
Governance: LA token holders are expected to participate in protocol governance, including adjusting fee structures, modifying query rulesets, or evolving the subsidy schedule.
Lagrange was founded by Ismael Hishon-Rezaizadeh, a researcher and builder in cryptographic systems and verifiable computing. He leads the team at Lagrange Labs, which focuses on zero-knowledge-based infrastructure for decentralised applications. In May 2025, the Lagrange Foundation was established to oversee the long-term development, governance, and sustainability of the protocol.
Applications
Lagrange supports multiple real-world use cases, including:
- Verifiable DeFi analytics (e.g., trustless TWAPs, interest rate computation)
- Decentralised AI proof systems via the DeepProve initiative
- Trust-minimised cross-chain communication for rollups and modular execution layers
It offers modular and interoperable tooling compatible with Ethereum and other EVM chains, making it accessible to a broad spectrum of decentralised applications and infrastructure providers.
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Learn About Lagrange
Lagrange Price at ATL While Three Metrics Tell a Story
LA hit an intraday low at $0.1505 on April 12. That price is 96% down from its all-time high of $4.50 from June 2025. Lagrange currently trades near $0.163, roughly 8.8% up from the low. What the market thinks has clearly been decided. What has not stopped is the shipping of technology. Three key metrics suggest Lagrange is building toward something the price has not priced in.
The Cloud Bill Nobody Questions
Hardly anyone buys Golem after reading a whitepaper. The average user buys Golem because their AWS bill for a rendering project cracked 4 digits, when it really should've been a tiny fraction of that number. Trading for just $0.13 per GLM token and with a market cap just north of $135 million, Golem isn't really a vehicle for capturing the attention of headline-hungry investors. What's driving the story beneath that adoption, though, is a narrative entirely different than the Golem price would have you believe.
Concordium Definition Shows Crypto's Next Regulatory Battle
Can a blockchain that knows who its users are still call itself decentralized? The prevailing view across crypto Twitter and institutional research desks holds that Concordium's built-in identity layer represents the inevitable future of compliant blockchain infrastructure. But the concordium definition that's emerging from regulatory filings and industry debate reveals something more complicated. We're looking at a protocol caught between two powerful forces that may not be reconcilable on a single chain.
Often Discussed Alongside Lagrange
Tokens that appear with Lagrange in our academy articles.
Lagrange Market Data
The live Lagrange price today is $0.14 USD with a 24-hour trading volume of $4,575,203.39 USD. We update our LA to USD price in real-time. Lagrange is up 1.24% in the last 24 hours.
The current market cap is $26,740,725.10 USD, ranking #484 by market capitalization. The circulating supply is 193,000,000 LA.