Library Equations

Matrices

Any, invertible, symmetric or positive-definite — constructed, not rejection-sampled.

equations.matrix · v1 · renderer math

[-6, -4, 5; -1, 5, 0; 1, 3, 6] → det = -244 — unconstrained

Controls · from schema()

Kind

Rows

2 5

Columns

2 5

Ignored by the kinds that have to be square.

Determinant

-12 12

Entries within ±

1 9

How many

1 12

Entropy source

Picking a source changes the story on the receipt, never the quality: anything below class A is mixed with the OS CSPRNG before it reaches you. This result actually came from NOAA Space Weather.

seed token VRFK37SZT6V076G96PRN6Q9090

Re-render keeps this token. Generate replaces it. That is the whole idea.

Printable worksheet 20 problems · answers on page 2

The seed is printed in the footer, so the same sheet comes back from the same link — and a different seed is a different sheet.

entropy in

16 bytes

stream used

14 bytes

rejections

duration

116 µs

problems

kind

any

Seed receipt

Class C · Observational cached

Planetary K-index 2.33 — the field was unsettled when this was made.

Carries only tens of bits of genuine surprise. Always mixed with the OS CSPRNG.

source: NOAA Space Weather
observed: 2026-10-28T23:01:00+00:00
latency: 0ms
mixed with: csprng — always

https://www.swpc.noaa.gov/products/planetary-k-index ↗

Permalink

The token is the seed, so this link recomputes the result rather than looking it up. No database, and it works for as long as v1 does.

This page and /api/v1/g/equations.matrix run the same code. There is no private endpoint.

Matrices

Result

Measurements

Seed receipt

Permalink