@article{therightmeasureforphysicsconstrainedgene,
  title = {The Right Measure for Physics-Constrained Generation: A Co-Area Correction for Posterior-Consistent PDE Inverse Problems},
  author = {Jian Xu and Yanning Wu and Delu Zeng and John Paisley and Qibin Zhao},
  year = {2026},
  eprint = {2606.04804},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.04804},
}