---
title: Reproduction Unifying Low Dimensional Spectra
emoji: 🎯
colorFrom: purple
colorTo: blue
sdk: static
pinned: false
tags:
- icml2026-repro
- paper-RwiGcN2feP
---

# Reproduction bundle

Deterministic Trackio audit of all six exact registered claims for
OpenReview `RwiGcN2feP`. The registered numbering and empirical references are
pinned to immutable arXiv `2404.06106v1`; current `v3` is separately pinned
and revision-mapped.

```bash
PYTHONWARNINGS=error python3 reproduce.py --output replay
PYTHONWARNINGS=error python3 validate_evidence.py
python3 build_manifest.py --verify
```

The bundle executes the exact Hessian, Papyan-decomposition, gradient, and
weight objects with destructive boundary controls. It also includes paired
byte-identical paper-scale runs for:

- the Deep Linear UFM (`K=3,d=60,n=40,L=5,l=3`, one million epochs), and
- the ReLU Deep UFM (`K=3,d=65,n=40,L=5,l=4`, one million epochs).

An independent NumPy oracle reconstructs the ReLU layer-W4 Jacobian, exact
nonzero Hessian spectrum, and gradient projection. The earlier reduced
`K=3,d=14,n=16,L=4` proxy is retained only as history and is not counted.
Claim 5's unsupported “about 0.2” initial alignment remains an explicit literal
falsification rather than being silently rounded into a match.