# Results 0.7 — dimensional slices and aliases

Protocol SHA-256: `53c0b52b585a5796e5cac5881e15e36100f251a3c4d898b70dce652a96935679`

- Nine production gates pass.
- A 137-voxel discrete 4-ball reconstructs exactly from five labelled 3D
  slices; symmetric difference is zero.
- Disjoint even/odd parity subsets of `{0,1}^4` have identical line-sum
  projections along all four coordinate axes, yet different labelled slices.
- The 49-member two-parameter box family is exact. The frozen `a=b` path visits
  seven and misses 42, while an explicit scalar decoder enumerates all 49.
- The smooth path has Jacobian rank one at 101 diagnostic samples.
- All 103 package tests and 61/61 independent checks pass.

These are written mathematics and finite synthetic computation. Four axis
views are not a complete Radon transform. The rank claim assumes `C1`/locally
Lipschitz generation; finite codes and continuous space-filling maps are
explicit counterexamples to an unqualified version. No measured physical
dimension is established.