Paper ===== The manuscript **“Discriminant Varieties for Stick Knots and Links”** by Alexander Kolpakov and Igor Rivin is authoritative for this project. * `Read the compiled PDF `__. * `Download the TeX source `__. The documentation summarizes the result and explains the accompanying code, but does not maintain a separate version of the mathematical argument. If a summary here and the manuscript ever differ, the manuscript controls. The paper is version-dated August 2, 2026.