# Safe Homepage Snippet

Working title:

`A Depth-3 Buchstab Minorant Map for Binary Goldbach`

Short status line:

> Research map / open problem. Not a proof of Goldbach.

Short public summary:

> We isolate a depth-3 Buchstab minorant route for binary Goldbach and identify the remaining analytic wall as a one-`R`-match variance wall inside the Type-III shifted-prime surface. The documented local pivots do not remove that obstruction.

Safe call for review:

> The useful expert question is whether this one-`R`-match variance wall is structural in the depth-3 Buchstab architecture, or whether a pre-L2 identity changes the variance object before signs are lost.

Do not say:

- Goldbach is solved.
- Goldbach is almost solved.
- Existing product-congruence estimates already close the gap.
- The Type-III residual shearing estimate is proved in the present notes.