Lagrange's academic contributions in the field of zero-knowledge proofs (ZKP) are significant. Their research team recently published a paper on dynamic zk-SNARKs at the 2025 SBC conference, proposing an efficient mechanism for updating proofs that reduces the cost of complex off-chain computations. This technology has been applied in Lagrange's DeepProve-1, validating the reasoning of large language models like GPT-2. The team has also collaborated with cryptography research groups at MIT and Stanford University to explore the boundary applications of ZKP in verifiable AI. These academic achievements have enhanced Lagrange's reputation in the cryptographic community, attracting more researchers to participate in its open-source ecosystem.

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