Pith Number

pith:4M2ZCH5N

pith:2017:4M2ZCH5ND5VITYCVY3GNWJRFCD

not attested not anchored not stored refs pending

Log-correlated Random Energy Models with extensive free energy fluctuations: pathologies caused by rare events as signatures of phase transitions

Pierre Le Doussal, Xiangyu Cao, Yan V. Fyodorov

arxiv:1712.06023 v2 · 2017-12-16 · cond-mat.stat-mech · cond-mat.dis-nn · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4M2ZCH5ND5VITYCVY3GNWJRFCD}

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	2026-05-18T00:23:16.292467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e335911fad1f6a89e055c6ccdb262510c1b97424fbecac93d6c2e2cb9489b645

Aliases

arxiv: 1712.06023 · arxiv_version: 1712.06023v2 · doi: 10.48550/arxiv.1712.06023 · pith_short_12: 4M2ZCH5ND5VI · pith_short_16: 4M2ZCH5ND5VITYCV · pith_short_8: 4M2ZCH5N

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/4M2ZCH5ND5VITYCVY3GNWJRFCD \
  | 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: e335911fad1f6a89e055c6ccdb262510c1b97424fbecac93d6c2e2cb9489b645

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ac3cab76a4e19c652990d663a2db63a9de43102413e15396a891e1353e4088e",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2017-12-16T22:16:27Z",
    "title_canon_sha256": "eadaa16e9b18b7607f948f1435fa227af27961c3d5d4d79896f53afd5d999494"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.06023",
    "kind": "arxiv",
    "version": 2
  }
}