Introducing the $LA Token: Powering Lagrange's Proof Ecosystem

Today, we’re excited to announce $LA, Lagrange’s native token.

From blockchain scalability to verifiable AI, Lagrange has established proof generation as a foundational component in emerging technologies. Now it’s time to kickstart the self-sustaining economy that will power these use cases.

What is the $LA Token?

$LA is the fuel for Lagrange’s cryptographic engine. It is a utility token that aligns the interests of clients, provers, and token holders for decentralized proving activities in the Lagrange Prover Network that are essential for use cases like DeepProve.

The $LA token will be primarily used by clients to pay for proof generation fees, but it will also play a role in subsidizing the costs of provers while allowing token holders to stake and delegate. A look at the tokenomics can be helpful in understanding how this works.

Tokenomics

Lagrange’s tokenomics are built around a simple principle: proof demand = token demand.

Whenever a proof is generated in the Lagrange Prover Network—whether for a ZK rollup, a verifiable AI model, or a modular execution layer—value is cycled through the system in a work-based model. This way the token captures value directly from activity.

The tokenomics model channels value from proving activities to the native token through the following mechanisms:

1. Client Fees: Clients request proofs and pay fees typically in widely accepted tokens like $ETH, $USDC, or $LA proportional to the computational effort required. A portion of these fees will be distributed to provers as $LA rewards (provers are always paid in $LA), linking proving demand directly to token demand. If ETH or USD is paid into the network, the $LA token is bought back using those funds. This process supports token value through buy pressure, establishing a positive feedback loop for token holders.

2. Protocol Emissions and Subsidies: At the same time, the network maintains a fixed 4% annual emission of $LA that is allocated across provers—allocations are based on the amount of proofs a prover generates for clients. This subsidizes proving costs, enabling clients to pay only a fraction of the total cost, with the remainder covered by token emissions paid directly to provers.

3. Staking and Delegation: Token holders can stake or delegate Lagrange tokens to specific provers, directing emissions to subsidize proving costs for those provers. Staking locks tokens, serving as a secondary supply sink that reduces circulating supply and supports token value. This mechanism allows stakeholders to influence the network’s economic priorities, aligning incentives with areas of high proving demand.

It’s important to note that $LA token holders will not accrue fees or emissions through passive holding.

Token Distribution

The $LA token will have a total supply of 1,000,000,000 with a 4% annual emission rate. It will be distributed as follows:

Tokens allocated to early contributors and investors will be locked for one year after TGE. Thereafter, tokens will be unlocked linearly over two years.

The $LA distribution to Community and Ecosystem will begin with a TGE registration that opens on May 28, 2025. Learn more about the airdrop & TGE in the blog here.

Value Accrual in Motion

The Lagrange Prover Network was designed to withstand the increasing demands for proof generation as cryptographic verification becomes the multi-industry default. AI systems, in particular, will rely on LPN use cases like DeepProve to create trust among users at a global scale. Once users understand that they can demand verification for AI outputs, there’s no going back: we will expect AI to be provable by design.

Lagrange is ensuring that the LPN is ready to meet these new demands and properly allocate the network’s resources. Verifiable AI and other LPN use cases now benefit from $LA’s economic model that will ensure economic stability, scalability, and long-term value accrual for the ecosystem.

Registration lasts from May 28, 2025 to June 02, 2025 on the Lagrange Foundation website.

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