# Polar Shell HTML Alpha Packet

This packet contains:

- `POLAR_SHELL_HTML_DRAFT.md` — implementation and content handoff for the canonical web page.
- `polar_shell_renderer_alpha.html` — self-contained interactive alpha, no external libraries required.
- `polar_shell_fixture_N44.json` — canonical 604-point validation fixture.
- `fig1_polar_shell_hero.png` — paper hero asset.
- `fig4_density_hygiene.png` — optional summatory-totient comparison asset.

Canonical scholarly record: `10.5281/zenodo.21280464`.

The alpha intentionally keeps the prime-numerator layer out of the base object. The canonical renderer is the reduced-fraction polar skeleton:

`gcd(k,n)=1`, `r=sqrt(n)`, `theta=2*pi*k/n`.


## Canonical records

- Polar Shell Renderer paper: `10.5281/zenodo.21280464`
- Arithmetic parent: `10.5281/zenodo.21187177`
- Annular Shell Isolation Near Zeta Zeros: `10.5281/zenodo.20564213`

The HTML alpha now exposes these records in page metadata/footer links. Its geometry kernel is unchanged by this bibliographic pass.

## Deployment note

`polar_shell_renderer_live_footer_patch.html` is a patched copy of the earlier live tool-page source with the arithmetic-parent footer link normalized to `10.5281/zenodo.21187177`. It is supplied for merge/deployment; this packet does not itself modify the public website.