Pith Number

pith:LNNYS2AR

pith:2022:LNNYS2ARYO5ASXGC2SU5VNCUKJ

not attested not anchored not stored refs pending

Equilibrium Fluctuations in Mean-field Disordered Models

Francesco Zamponi, Giampaolo Folena, Giulio Biroli, Patrick Charbonneau, Yi Hu

arxiv:2202.07560 v2 · 2022-02-15 · cond-mat.dis-nn · 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{LNNYS2ARYO5ASXGC2SU5VNCUKJ}

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	2026-07-05T04:46:23.167864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b5b896811c3ba095cc2d4a9dab45452644827bfef1039ae2cdf7f186fe24a80

Aliases

arxiv: 2202.07560 · arxiv_version: 2202.07560v2 · doi: 10.48550/arxiv.2202.07560 · pith_short_12: LNNYS2ARYO5A · pith_short_16: LNNYS2ARYO5ASXGC · pith_short_8: LNNYS2AR

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/LNNYS2ARYO5ASXGC2SU5VNCUKJ \
  | 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: 5b5b896811c3ba095cc2d4a9dab45452644827bfef1039ae2cdf7f186fe24a80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5efe8d098b137d215baeaa196c922219b959ee946d9966ce94b6b55542e19c1f",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2022-02-15T16:44:45Z",
    "title_canon_sha256": "8348de296223f7b09891f3234dd1417f2b712f9d6c43c533ebdb2ef47d65905d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.07560",
    "kind": "arxiv",
    "version": 2
  }
}