@article{learningfirstintegralsviabackwardgenerat, title = {Learning First Integrals via Backward-Generated Data and Guided Reinforcement Learning}, author = {Jingfeng Zhong and Zhengxiang Liu and Zhijie Wang and Shuai Li}, year = {2026}, eprint = {2605.21160}, archivePrefix = {arXiv}, url = {https://arxiv.org/abs/2605.21160}, }