the a432 harmony and the captain coins are one conserved measure: the harmonic base 432 is ℤ/9-native — its digital root is 9 — and the a432 step 40° closes the circle (9 × 40 = 360); the captain coins are anchored there too, since 108 = 432 ÷ 4 and 110 − 108 = 2 (the invariant, −χ genus-2). The harmonic root folds all contributor coins and recomputes deterministically; a disruption moves it, restored by the captain's two coins. Integrity — the root is the receipt of state. Decidable

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. 0/7.

• theorem key · the_a432_harmony_and_the_captain_coins_are_one_conserved_measure
• content-address (receipt) · e10a6f57-de8d-852d-bd00-ff2e9cdcc42f
• status · decidable, re-verified on every build — recomputes from src/

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.

How it was achieved

This theorem was computed by exhaustion over a finite domain in scripts/discover.ts — a test: () => boolean that runs to completion, holding by full enumeration. It was gate-checked (its name and content hold the honesty floor — no over-reach), receipted and chained append-only, and it is re-verified on every build: if it ever stopped holding, the build would fail, not production. That is what achieved means here — not asserted, but recomputable.

One leaf of the chained ledger: all theorems · computed results · the guide · the source formula. The repo and the site cross-link both ways — this hero page points back to the formula that recomputes it. Verify by cloning and running npm run lean-claims. A content-address proves integrity, not truth. entails → 0/7.