Instrumentation

The Lab

Diagonalize a matrix and watch most of it stop existing. Every cell outside the band is discarded, not hidden — the same semantics as RFC-D45 §3.

Matrix size 24×24 Bandwidth 1 Angle 45.0° Seed 45451

Cells inspected — Retained — Discarded — Sparsity — Ratio — Purity —

Anything above 25% retention is reported as DILUTED. See §6 on why bandwidth was a mistake.

Loading axiom…

The same thing, from your terminal

The visualization above is a client-side rendering of the identical band calculation the API runs. Same formula, same seeded values.

curl https://diagonaldatasets.com/api/diagonalize?rows=24&cols=24&bandwidth=1

Live endpoints, no key, no rate limit, no reason:

/api/diagonalize — rows, cols, bandwidth, angle, seed
/api/axiom — one axiom, uniformly sampled
/api/status — the current production angle, including drift

/api/status reports eight decimal places. It used to report four. That change is an action item from an incident and it is the most operationally serious thing on this website.