In the digital world, the definition of labor is quietly changing.

In the past, we measured labor as 'physical' or 'mental'; entering the internet era brought about 'data productivity'. Now, with the combination of blockchain and zero-knowledge proofs (ZK), we see a whole new possibility: providing 'proof' itself is becoming a form of labor.

Lagrange is the vanguard of this narrative.

From computational power to 'proof power': new production relationships

Bitcoin mining once pioneered the era of 'computational power as value', where miners maintained network security by providing computational power. IPFS/Filecoin further expands this by defining the value of 'storage power', allowing users to earn incentives by contributing storage space.

What Lagrange promotes is 'proof power'.

In its zero-knowledge proof network, the role of nodes is not to mindlessly compute hashes, but to generate verifiable proofs of complex computations.

The value of these proofs can not only be directly trusted by blockchain smart contracts but can also circulate across chains and even support the verification of AI reasoning correctness.

In other words, the labor results provided by nodes in the Lagrange network are a form of 'mathematical endorsement'.

This means that the future labor market will no longer be limited to 'computational power' and 'storage', but will expand to 'proof power' as a new factor of production.

The micro-mechanism of proof economy: task allocation and token incentives

In the mechanism of Lagrange, the logic of task allocation and execution in proof tasks is almost a 'digital labor division system':

1. Task distribution: Users or the Lagrange protocol propose computational needs (such as cross-chain state verification, AI model inference validation).

2. Proof generation: Lagrange nodes receive tasks and use zero-knowledge algorithms to generate proofs.

3. Proof submission and verification: Once the proof passes on-chain verification, the task is considered complete.

4. Incentive settlement: Nodes that complete tasks earn LA token rewards through staking and workload.

If Bitcoin miners are 'security workers' and Filecoin miners are 'storage workers', then Lagrange nodes are 'mathematical workers'—their labor products are non-falsifiable and universally applicable mathematical proofs.

From the labor market to social division of labor: a vision of the future

Once we view 'proof' as a labor product, we will find its extension far exceeds blockchain:

Finance: Lagrange proves the correctness of the bond pricing process, forming 'verifiable financial products';

AI: Only when the decision-making path of AI is proven correct can AI's labor results enter the compliant market;

IoT and supply chain: Companies can only trust the results of cross-border transmission if the proof of data collection process is not tampered with.

By then, proof will not only be a technical product but will also become a source of labor for social trust. An individual, an institution, or even an AI may participate in this market as a 'proof worker'.

Creative summary: The birth of Lagrange and the 'mathematical class'

Perhaps decades later, when humanity looks back at the evolution of the digital society, it will find that a new emerging class is rising:

They are neither traditional blue-collar workers nor typical white-collar workers,

They are 'mathematical workers',

By generating, trading, and verifying proofs, it builds the trust order of the entire digital world.

Lagrange makes all this possible. It is not just a zero-knowledge proof network; it is an economic experiment incubating a completely new labor market. In this market, the definition of labor is being rewritten, and the source of value is shifting from computational power and storage to the proof itself.