AutoGym: Blueprint-First Generation of Verifiable Agent Gyms AutoGym, a framework detailed in arXiv paper 2609.22592v1, generates complete reinforcement-learning gyms — tasks, executable environments, and verifiers — from a minimal domain seed or prior model trajectories. The framework's blueprint-first generation specifies the valid solution space, environment requirements, and verification criteria before the environment is materialized, making solvability a construction prerequisite rather than a post-hoc check, while explicit generation parameters and active curriculum synthesis steer task difficulty as model capabilities evolve. Across productivity and temporal-reasoning settings, AutoGym produced gyms spanning the capability spectrum, including instances that challenge frontier models. arXiv:2609.22592v1 Announce Type: new Abstract: Training agents with reinforcement learning requires a gym, comprising a task, an executable environment in which the task can be attempted, and a verifier that reliably distinguishes success from failure. Constructing such gyms remains manual, expensive, and static. Task sets saturate as models improve and are increasingly exposed to contamination. Synthetic generation offers scale, but single-pass synthesis produces tasks whose difficulty is largely cosmetic. Models comparable in capability solve them despite convoluted phrasing, and correctness must be adjudicated post-hoc by unreliable LLM judges. We present AutoGym, a framework that generates complete gyms tasks, executable environments, and verifiers from a minimal domain seed or prior model trajectories. AutoGym introduces three mechanisms. 1 Blueprint-first generation specifies the valid solution space, environment requirements, and verification criteria before the environment is materialized, making solvability a construction prerequisite rather than a property verified after the fact. 2 Explicit generation parameters control task topology, interaction depth, capability axes, question obfuscation, and distractor composition, enabling fine-grained difficulty steering. 3 Active curriculum synthesis uses performance-informed calibration to adjust the distribution over these parameters as model capabilities evolve. Across productivity and temporal-reasoning settings, AutoGym generates gyms spanning the capability spectrum, including instances that challenge frontier models.