Add sage code

README.md

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+# math-research
+
+Personal mathematics research repository by Eric Bauerfeld. Papers are written in AMS-LaTeX using the `amsart` document class.
+
+## Papers
+
+### `kempe_style_search_for_smaller_contradiction`
+**Humans Suffice: A Novel Proof of the Four Color Theorem**
+
+An in-progress proof of the Four Color Theorem via a minimal counterexample argument. The paper builds on Kempe's 1879 strategy — establishing valid cases for vertices of degree ≤ 4, then extending the argument to the degree-5 case using properties of non-adjacent degree-5 vertices, merged subgraphs, and locked colorings.
+
+### `plane_depth_labelling`
+**Plane Depth Labelling**
+
+Early-stage paper. Title and author information set; content in progress.
+
+## Creating a New Paper
+
+Use `run.sh` to scaffold a new paper from the AMS-LaTeX template:
+
+```sh
+./run.sh init_paper "Your Paper Title"
+```
+
+This creates a new directory (name derived from the title) containing a `paper.tex` pre-filled with the title and author.
+
+## Setup
+
+The Python library code in `lib/` requires SageMath. To set up the linting environment, run:
+
+```sh
+./run.sh setup
+```
+
+This creates a `.venv` using the SageMath Python interpreter and installs `pylint` into it.
+
+## Linting
+
+To lint the `lib/` directory:
+
+```sh
+./run.sh lint
+```
+
+This runs `pyright` (via `npx`) and `pylint` using the SageMath Python interpreter.
+
+## Building
+
+Papers are compiled with LaTeX. From within a paper directory:
+
+```sh
+latexmk -pdf paper.tex
+```