Minimum credential dimensionality for personalized-memory markets

Determine the minimum number of distinct credentials required to represent provenance, performance, and permission without misleadingly collapsing them into a single score.

Background

The paper establishes that a single buyer-independent score cannot correctly rank artifacts across buyers and therefore supports separating provenance, performance, and permission credentials. However, ruling out one dimension does not establish that exactly three credentials are sufficient, nor does it provide a lower bound on the dimensionality required for a sound credential system. The minimum credential dimensionality remains unresolved.

References

Lemma~\ref{lem:no-score} rules out one dimension, not $k$, and we do not have a lower bound on credential dimensionality.

— Beyond Provenance: The Economics and Governance of Personalized AI Memory  (2609.25521 - Chen et al., 22 Sep 2026) in Section 10, Discussion and Limitations; Section 8.3