RULER: Representation-Level Verification of Machine Unlearning Researchers introduced RULER, a set of representation-level verification metrics for machine unlearning, after finding that current output-level tests can pass even when models retain forgotten data internally. The oracle-comparative metric M2 detected significant residual information in 10 of 12 conditions across four approximate unlearning methods, while the oracle-free metric M4 identified identity-level memorization in face recognition models that no tested method could fully erase. The findings expose a critical gap in existing unlearning verification protocols, revealing that models can satisfy membership inference and accuracy benchmarks while still encoding forgotten records in their intermediate representations. arXiv:2605.27569v1 Announce Type: new Abstract: Machine unlearning aims to remove the influence of specific training records from a deployed model without retraining from scratch. Current protocols verify this at the output level through membership inference, retain accuracy, and forget-set accuracy, but a model can satisfy all three whilst still encoding forgotten records in its intermediate representations. We introduce RULER, a set of representation-level verification metrics. The oracle-comparative metric M2 measures whether forget-set records occupy the same representational position as in a model retrained without them. The oracle-free metric M4 detects residuals from the unlearned model's internal similarity structure alone, without retraining. Four approximate unlearning methods all pass output-level evaluation, yet under a linear mixed-effects model M2 detects significant residuals in 10 of 12 conditions p<0.05 , with effect sizes growing as the forget fraction increases. A fifth method, Bad Teacher, shows the same residuals despite a different forgetting mechanism. M4 acts as a pre-unlearning diagnostic across tabular, image, clinical text, and face-identity settings: it detects identity-level memorisation in face recognition models where no tested method fully erases the signal.