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Guide

How to check numbers an AI gives you

Short lessons on checking a number an AI gives you before you rely on it. Each one is built on something that happened in my own research, and none needs a math background.

To see where each lesson fits in a project, from before you compute anything to writing up the result, read How the lessons fit together.

Start here

Read these four first, in this order.

Lesson 3

Write down the numbers you must match before you compute anything

Before an AI builds anything that produces numbers, write down the number it must reproduce, the result that would make you stop, and one case you can check by hand. On one project, making a program match a published paper's tables this way turned up errors in the paper.

Checking a number

Keeping your records true

Before you publish

Before you publish, have a reader who knows nothing read it

Five AI readers with no background on my work read every public page of my two websites, and only 9 of the 43 pages were clear to them. Why my earlier editing missed it, and a prompt you can paste into a fresh chat to test any document.

One project, several lessons: AI agents and 25.8 million parking tickets

A team of AI agents tested whether 25.8 million Los Angeles parking tickets contained a finding worth publishing. The answer was "not yet". Each lesson below takes one part of that project.

Two research projects, start to finish

The parking-ticket project next to a math project on twelve two-player games. Before extending the published tables for those games, the program had to match every number already in them, and the mathematician who keeps the tables later reran part of the new work on his own machines and got the same answers.

The research these lessons come from

My research follows three habits: tie every claim to an outside reference that could prove it wrong, get every computed number a second time by an independent route, and record every error the checks find. My research site, Cyborg Mathematics, has the full record: each result, how it was checked, and the evidence.