# 260614 — Mathematica Notebooks deep dive

Date: 2026-06-14 · Source: **SHARD-WP-0004 T2**

## What this is

A deep dive into **Wolfram Mathematica Notebooks** — the **original computational notebook**
(1988), the ancestor Jupyter descends from. The `.nb` document **is itself a Wolfram Language
expression** (`Notebook[{Cell[…], …}]`) with **nested cell groups**, kernel evaluation
(`In`/`Out`), **structured (symbolic/graphics) results**, live `Manipulate`/`Dynamic`
widgets, and CDF as a reduced-runtime distribution projection.

## Why it matters

- Confirms the **notebook page shape (UC-84) is a genus**, not a Jupyter quirk: cells +
  cached outputs + fragile counter provenance + kernel-gated re-execution predate `.ipynb`.
- Two refinements: notebooks have **nestable cell groups (an outline tree)**, not just an
  ordered list; outputs can be **structured re-evaluable values**, not only MIME blobs →
  adds a "structured re-evaluable value" point to the content-opacity spectrum.
- `Manipulate`/`Dynamic` join the **static-projection-impossible** end (snapshot-only) —
  foreshadows Strudel (T5).

## Yield

- **No new UC** (lineage/reinforcement). Reinforces **UC-84**; enriches **UC-54, UC-55**;
  links UC-34, UC-83.

## Contents

| Path | Role |
|------|------|
| `findings.md` | `.nb` expression/cell model, evaluation & provenance, CDF, capability delta vs Jupyter, INTENT mapping, UC disposition (enrichment-only), architecture notes |