Correction to: Nature https://doi.org/10.1038/s41586-025-09529-3 Published online 17 September 2025

In the version of this article initially published, in the Methods “Exponential waiting time model” section, there was a typographical error in the equation now reading “lossj = – log P(j) = cross_entropy(logits, tokens),” where a minus sign originally appeared before the cross-entropy term. The equation has been amended in the HTML and PDF versions of the article.