← Library

1. Estimating $π$ with a Coin

   [Submitted on 16 Feb 2026 (v1), last revised 10 Mar 2026 (this version, v3)] · arXiv.org

   We describe a simple Monte Carlo method for estimating $π$ by tossing a coin. Although the underlying Catalan-number series identities appear implicitly in the probability theory literature, the interpretation of $\fracπ{4}$ presented here seems to be new.

2. Atoms

   atoms.co

   Atoms builds physical automation for food, mining, and transport — transforming industry and moving the world.

3. Increasing intelligence in AI agents can worsen collective outcomes

   [Submitted on 12 Mar 2026] · arXiv.org

   When resources are scarce, will a population of AI agents coordinate in harmony, or descend into tribal chaos? Diverse decision-making AI from different developers is entering everyday devices -- from phones and medical devices to battlefield drones and cars -- and these AI agents typically compete for finite shared resources such as charging slots, relay bandwidth, and traffic priority. Yet their collective dynamics and hence risks to users and society are poorly understood. Here we study AI-ag