Residual-stream caching can reconstruct transformer key-value (KV) caches losslessly, but its memory advantage depends on architecture. We present AnchorKV, a storage-replay spectrum connecting per-layer residual caching and full recomputation through configurable residual anchors. An architecture-dependent break-even rule identifies the first storage-saving spacing, while deployment selects an operating point from the spectrum and cascade replay reduces reconstruction from O(Ls) to O(L), with L the model depth and s the anchor spacing. For interleaved sliding-window architectures, exact dynamic programming places anchors under non-uniform reconstruction demand. Across CPU, CUDA, and Ascend NPU backends, six architecture families, and fp32/bf16 arithmetic, evaluations verify bit-exact KV reconstruction and unchanged continuation logits and tokens. At 4k context, cascade reconstruction is up to 16.3 times faster than naive replay; across eight applicable global-attention checkpoints at 32k context, deepest spacing yields 5.78-54.0 times full-KV reactivatable session capacity. Compared with seven external cache methods on a common model, AnchorKV preserves full-cache retrieval and question-answering scores, whereas lossy methods change output fidelity and task scores. The break-even spacing is computable from a model's configuration file alone.

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