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README.md

Six Sinkhorn diffusion certificates

This frozen, unpublished package audits all six operative anchored claims for Sinkhorn Normalization of Diffusion Kernels (LJdacnMXkr, arXiv 2507.06161v2). The conservative prerelease forecast is 12/12; that is not an official score.

The evidence combines finite matrix identities for symmetric diagonal scaling, Gaussian/exponential refinement grids, an explicit 0.1% iteration audit, joint diffusion-axiom checks, three irregular data modalities, and a source-locked Stanford Armadillo spectral comparison. Eight destructive controls are executed, not merely described.

Run locally with CPU-only settings:

CUDA_VISIBLE_DEVICES='' PYTORCH_ENABLE_MPS_FALLBACK=0 \
  OMP_NUM_THREADS=1 OPENBLAS_NUM_THREADS=1 MKL_NUM_THREADS=1 \
  python reproduction/run_tests.py

Future artifact Bucket: https://huggingface.co/buckets/neonforestmist/sinkhorn-normalization-diffusion-kernels-repro-artifacts

The USE_IT_LOCK forbids publication or consumption until the user explicitly says USE IT.

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