Skip to main content
← Lab

clockmod

confirmedPython · CPUModel behavior & reasoningJuly 6, 2026

the question

Can a small model do 12-hour clock arithmetic?

what came out

Directly, it's at chance past a 2-hour jump. Writing the mod-12 reduction out loud rescues the capable model completely (frontier 2->10, p=7e-31) and barely helps the weak one. A 5th confirmation that CoT helps scalar-state tasks. Exact oracle.

method & receipts

  • Result: confirmed
  • Reproducible one script re-runs the whole thing from scratch.
  • Independently reviewed an adversarial review pass, kept in the repo.
  • Machine-readable claims every reported number, in a checkable file.
  • Tested — a correctness/benchmark suite ships alongside the code.

→ read the code and re-run it

github.com/v-code01/clockmod