@article{thepathnottakenrlvrprovablylearnsoffthep,
  title = {The Path Not Taken: RLVR Provably Learns Off the Principals},
  author = {Hanqing Zhu and Zhenyu Zhang and Hanxian Huang and DiJia Su and Zechun Liu and Jiawei Zhao and Igor Fedorov and Hamed Pirsiavash and Zhizhou Sha and Jinwon Lee and David Z. Pan and Zhangyang Wang and Yuandong Tian and Kai Sheng Tai},
  year = {2025},
  eprint = {2511.08567},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2511.08567},
}