The core contribution is a finite-dimensional feature map from the space of token sequences to a Euclidean profile space. Each coordinate is a measurable empirical statistic extracted from the text. This construction enables quantitative comparison of text samples via standard geometric notions such as Euclidean distance and cosine similarity.
A central theoretical question is how much a profile can change when the underlying text is modified by a bounded number of edits. Under explicit coordinate-wise Lipschitz assumptions, the current manuscript records conservative perturbation bounds. These are conditional statements, not universal claims.