As Web3 evolves, one truth becomes clear: raw speed is not enough—what truly matters is trust. The future of decentralized computing depends on verifiable and scalable infrastructure that can support rollups, AI models, and data-heavy applications. Lagrange is emerging as the proving layer that delivers exactly that, pushing the boundaries of what is possible with zero-knowledge proofs (ZKPs) and modular infrastructure.

A New Foundation: Modular ZK Infrastructure

Lagrange provides a modular foundation designed to bring verified computing into every layer of the stack. From AI inference and rollup scalability to secure data access and on-chain intelligence, it is building the tools that developers and institutions will rely on in the years to come.

At the core of this system are three building blocks:

  1. Lagrange Prover Network (LPN): A Network of Networks

    Built on EigenLayer, the LPN is a decentralized proving system that scales without centralization bottlenecks. It is supported by more than 85 enterprise-grade operators—including Coinbase, OKX, Kraken, and Nethermind—ensuring resilience, censorship resistance, and no single point of failure.

  2. ZK Coprocessor: SQL Meets Zero-Knowledge

    This coprocessor functions like a trusted database engine for smart contracts. Developers can run complex SQL-based computations off-chain and then cryptographically verify the outcomes on-chain. This makes it possible to power data-rich applications—analytics, gaming, machine learning—without prohibitive gas costs.

  3. DARA: The Evidence Economy Engine

    DARA acts as an on-chain marketplace for proofs, matching demand with proving capacity. It incorporates incentive mechanisms, anti-collusion safeguards, and optimized routing to make proving more efficient and economically sustainable.

DeepProve: The Trust Layer for AI

Artificial intelligence has enormous potential, but it often operates as a “black box.” Lagrange’s DeepProve turns this opacity into transparency by enabling cryptographic proofs for AI inference. With zkML (zero-knowledge machine learning) infrastructure, developers can prove that AI-generated results are correct and verifiable.

DeepProve stands out with exceptional performance:

  • Up to 671x faster verification than competing systems

  • Up to 1000x faster proof generation

  • Average proof time of less than half a second

Real-world use cases include:

  • Verified medical diagnostics

  • Transparent recommendation systems

  • Auditable AI behavior in gaming

  • Secure, autonomous financial systems

To date, Lagrange has verified more than three million AI inferences across over 30 integrations, making it one of the most battle-tested zkML deployments globally.

Scaling the Rollup Ecosystem

As zkRollups expand across Layer 2 ecosystems, the demand for scalable proving power grows. Lagrange provides a decentralized trust layer that integrates seamlessly with rollups such as Caldera, AltLayer, Scroll zkEVM, Polygon CDK, and zkSync. By eliminating reliance on centralized sequencers or massive proving stacks, Lagrange ensures security, scalability, and resilience.

One significant milestone is its partnership with Matter Labs, the creators of zkSync. Over the next two years, up to 75% of zkSync’s proof requests will be routed through Lagrange—a resounding vote of confidence in its capacity to handle high throughput at scale.

The $LA Token: Powering the Trust Economy


At the heart of Lagrange’s ecosystem is the $LA token, designed to anchor real-world economic activity rather than speculation. Its core functions include:

  • Staking: Securing and powering the proving layer

  • Governance: Managing upgrades and protocol parameters

  • Rewards: Incentivizing provers, verifiers, and contributors

With its utility tied directly to verifiable computation demand, $LA creates a sustainable economy around proof generation and decentralized trust.

Adoption and Ecosystem Growth

Lagrange’s adoption metrics reflect its rapid expansion:

  • Over 20,000 developers have integrated the ZK Coprocessor

  • More than 11 million zero-knowledge proofs generated

  • 140,000+ users already utilizing DeepProve

  • Active collaborations with LayerZero, 1inch, Frax, zkSync, and more than 2.3 million wallets


This positions Lagrange not just as infrastructure, but as an expanding ecosystem that underpins products across the Web3 and AI landscapes.

Why Lagrange Is a Game-Changer

For developers, it unlocks the ability to build smarter, data-driven, AI-enhanced applications without incurring unsustainable costs or trust risks. For institutions, it offers a decentralized proving network secured by some of the industry’s most reputable validators. For Web3 as a whole, it introduces a flexible, modular trust layer designed to support the next generation of rollups, coprocessors, and AI systems.

Final Thoughts: The ZK Engine of Web3’s Future

Lagrange is more than a proving layer—it is the invisible force driving a new era of verifiable systems. In a world full of opaque AI models, centralized computing silos, and unverified claims, Lagrange blends performance, evidence, and decentralization into a single framework.

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