# Reproducing ÆQORIA

This Hugging Face edition preserves the original research release under
`research/` and as `releases/AEQORIA_Complete_Research_Release.zip`.
The PDF, mathematical source, reference code, and original test record are
unchanged. Packaging validation is recorded separately under `validation/`.

## Environment

The original run used Python 3.13.5, NumPy 2.3.5, SciPy 1.17.0, SymPy 1.14.0,
and mpmath 1.3.0. Use Python 3.13 with the pinned requirements for the closest
reproduction. The uploader has its own environment and only needs Python 3.10
or newer; installing the uploader does not install scientific dependencies.

From a downloaded copy of this repository:

```bash
cd research
python -m venv .venv-research
```

Activate the environment on Windows PowerShell with
`.venv-research\Scripts\Activate.ps1`, on Windows Command Prompt with
`.venv-research\Scripts\activate.bat`, or on macOS/Linux with
`source .venv-research/bin/activate`. Then:

```bash
python -m pip install -r requirements.txt
python verify_aeqoria.py --output ../local_results/verification.json
```

The expected summary is:

```text
PASS: 142 checks; categories: {'symbolic': 10, 'algebra': 7, 'numerical': 116, 'high_precision': 9}
```

The command also writes `asymptotics.json` beside its selected output. Using
`local_results/` keeps the original evidence record unchanged. Runtime,
interpreter version, and some floating-point residuals may vary. The verifier's
embedded `date` is a release label; the separate packaging report identifies
the fresh execution.

## Regenerate the example tables

```bash
python create_examples.py
```

This evaluates the explicit circle design with 80-digit mpmath arithmetic and
updates `research/results/circle_examples.csv` and `.json`. Both files were
regenerated in a separate temporary copy during packaging and matched the
originals byte for byte. These values describe a constructive circle family,
not certified finite-length global optima.

## Verify original release integrity

Run the following from `research/`:

```python
from pathlib import Path
import hashlib

root = Path('.')
for line in (root / 'MANIFEST_SHA256.txt').read_text().splitlines():
    expected, name = line.split('  ', 1)
    assert hashlib.sha256((root / name).read_bytes()).hexdigest() == expected, name
print('All original release hashes match.')
```

The original manifest covers 38 files. The enclosing original ZIP has SHA-256:

```text
c29d3d15986dd1655e3758c2cf377582e661d7a687de1ff4e275f14a0db90b6b
```

## Rebuild the manuscript

Install a TeX distribution with pdfLaTeX, latexmk, and the packages listed in
the main source. From `research/`:

```bash
latexmk -pdf -interaction=nonstopmode AEQORIA_Sharp_Holonomy_Observation.tex
```

The supplied PDF has 67 physical pages. The original release records its PDF
build and layout inspection; packaging checks the supplied PDF page count and
integrity, and does not claim a fresh LaTeX rebuild.

## Evidence boundary

The suite checks selected symbolic identities, finite-dimensional algebra,
numerical instances, and high-precision asymptotics. It does not exhaust all
loops, formally verify the manuscript, establish worldwide priority, or replace
independent mathematical review. Refer to `research/CLAIM_LEDGER.md` for the
proof/evidence map and to `research/STATUS.json` for the original status.