Pith Number

pith:PP7LGLFK

pith:2026:PP7LGLFKMUVG3HY6DRMQ4UMJUL

not attested not anchored not stored refs pending

Explaining Machine Learning and Memorization with Statistical Mechanics

Robin Theriault

arxiv:2606.31110 v1 · 2026-06-30 · cs.LG · cond-mat.stat-mech

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PP7LGLFKMUVG3HY6DRMQ4UMJUL}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-01T01:17:29.465525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bfeb32caa652a6d9f1e1c590e5189a2eec4cce808a5299b5996f93c29ff5d8b

Aliases

arxiv: 2606.31110 · arxiv_version: 2606.31110v1 · doi: 10.48550/arxiv.2606.31110 · pith_short_12: PP7LGLFKMUVG · pith_short_16: PP7LGLFKMUVG3HY6 · pith_short_8: PP7LGLFK

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/PP7LGLFKMUVG3HY6DRMQ4UMJUL \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 7bfeb32caa652a6d9f1e1c590e5189a2eec4cce808a5299b5996f93c29ff5d8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4da8375019eaecb819bc78e23337f57d50ae0c5ad57db4fb8e8d71b8777ecead",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-30T04:15:23Z",
    "title_canon_sha256": "f85dfe7f41656d60adf7712c30025d592114c92773a2d925c43d760d6ec11858"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.31110",
    "kind": "arxiv",
    "version": 1
  }
}