CARRIED — the genetic code is the octave squared: four bases, three positions, 4³
the genetic code is the octave squared: four bases, three positions, 4³ = 64 codons = 8×8 — DNA counts in the same octave uuidna does
ab3e7c0b-4a21-8c31-a6a2-23155325ebb2Type 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 ·
genetic_code_is_the_octave_squared - content-address (receipt) ·
9b4e24be-a32c-8d70-99af-2e831551abb7 - status · WITHDRAWN — no longer stands, and must not be cited.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.
- carried · this statement was withdrawn on its own evidence and is now carried by a Lean theorem, machine-checked over its whole domain:
lean_mechanical_genetic_code_is_the_octave_squared. Cite that one.
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This entry was withdrawn.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.