OPEN — codon degeneracy is forced by counting: 61 sense codons over 20 amino ac

codon degeneracy is forced by counting: 61 sense codons over 20 amino acids means some amino acid must carry at least four codons — redundancy forced by the pigeonhole, not asserted

Interact — recompute a content-address:→ ab3e7c0b-4a21-8c31-a6a2-23155325ebb2

Type anything and watch its uuidna recompute — deterministic, reproducible by anyone, no key. A theorem is alive when you interact with it. A content-address proves integrity, not truth.

• theorem key · codon_degeneracy_forced_by_pigeonhole
• content-address (receipt) · ad23984a-3d43-8d00-be5b-4cb045720077
• status · WITHDRAWN — no longer stands, and must not be cited. The receipt above is still in the append-only record and still verifies as a link in the chain; the statement is not a live theorem of this deposit.
• why it was withdrawn · dirty: not backed by a Lean proof. Its evidence is a TypeScript test, which reports that a computation agreed once on one machine; the kernel checks a proposition over its whole domain. Its content has no stated decidable form yet.

The 7D rosetta-ray vortex is plotted from this theorem's microdata (its content-address); the slowly rotating hero background is computed from its seven surrounding theorems' hues — the mesh, seen locally, in analog rotation of dimensions. Each object is the hero of its own page: this theorem at the centre, its neighbours as the field.

Why this page still exists

This entry was withdrawn. It is kept, with its receipt, because the ledger is append-only: deleting a link would break the chain that lets anyone verify every other entry, and rewriting a receipt would be tamper. So the URL stays resolvable and the record stays honest about its own history — what changed is that this statement is no longer offered as a theorem, and nothing in the deposit may cite it.

The name above is shown without the Clay floor wording, removed at the author's order on 2026-09-14. The name as sealed is unchanged in the append-only ledger (src/proof/discovered.json), and the receipt addresses that sealed name.

The live record: the standing theorems · the ledger. Verify the chain yourself with npm run forensics. A content-address proves integrity, not truth.