Pith Number

pith:32ATRXKD

pith:2022:32ATRXKD3DRI5PNRGXQ7QFBJVP

not attested not anchored not stored refs pending

Coulomb and Riesz gases: The known and the unknown

Mathieu Lewin

arxiv:2202.09240 v2 · 2022-02-18 · math-ph · cond-mat.stat-mech · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{32ATRXKD3DRI5PNRGXQ7QFBJVP}

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	2026-07-05T04:31:34.021523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de8138dd43d8e28ebdb135e1f81429abd6da927456eb82a579722227b516f38d

Aliases

arxiv: 2202.09240 · arxiv_version: 2202.09240v2 · doi: 10.48550/arxiv.2202.09240 · pith_short_12: 32ATRXKD3DRI · pith_short_16: 32ATRXKD3DRI5PNR · pith_short_8: 32ATRXKD

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/32ATRXKD3DRI5PNRGXQ7QFBJVP \
  | 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: de8138dd43d8e28ebdb135e1f81429abd6da927456eb82a579722227b516f38d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db69110e9545fd26c3682172c52a1a4300984c80089c106fc0f791147ab85cb4",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2022-02-18T15:06:52Z",
    "title_canon_sha256": "b3a9607d4de8bd0bd2ce442b8a01278cef2da872c9e0e33b6bc4ee0a33ae1921"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.09240",
    "kind": "arxiv",
    "version": 2
  }
}