Digit Fold
Theorem.Digit Fold — What is digit fold? One opens the doubling circuit: 1×2=2, 2×2=4, 4×2=8, 8×2=16→7, 7×2=14→5, 5×2=10→1.
Proof.What is digit fold? One opens the doubling circuit: 1×2=2, 2×2=4, 4×2=8, 8×2=16→7, 7×2=14→5, 5×2=10→1 — the period-6 orbit under ×2 mod 9.
Checked by exact arithmetic over the stated finite range — a verified witness, evidence toward the claim, not a ∀-proof.
src/1/9 digitFold/index.ts#digitFold
1 · Classification
bounded-witness — morph from sealed card/discovery fold
2 · Provenance
cardScientificPaperRows ← src/1/9 digitFold
Acknowledgment
"Digit Fold" is a re-derivation, acknowledged to documented mathematics — the original proof is the prior art this re-derivation acknowledges; not new to humanity — the contribution is the reproducible computation digitFold.
- Prior art
- documented mathematics — the original proof is the prior art this re-derivation acknowledges
- Novelty
- not new to humanity — a re-derivation (humanityNovel = false)
- Contribution
- a reproducible computation (digitFold @ src/1/9 digitFold) that re-derives the result at zero tokens — the contribution is the verifiable recomputation, NOT the theorem
3 · Reproducibility
recompute digitFold · npm run quantum:card-paper-links · paperRoute=/theorems/digit-fold