Pith Number

pith:67YPNQH4

pith:2018:67YPNQH4WFGX44JNOFHT74KASL

not attested not anchored not stored refs pending

Extremal particles of two-dimensional Coulomb gases and random polynomials on a positive background

David Garc\'ia-Zelada, Raphael Butez

arxiv:1811.12225 v2 · 2018-11-29 · math.PR · cond-mat.stat-mech · 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{67YPNQH4WFGX44JNOFHT74KASL}

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	2026-07-05T04:29:06.038507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7f0f6c0fcb14d7e712d714f3ff14092e98992442db943ec8c3a6fdc5754e977

Aliases

arxiv: 1811.12225 · arxiv_version: 1811.12225v2 · doi: 10.48550/arxiv.1811.12225 · pith_short_12: 67YPNQH4WFGX · pith_short_16: 67YPNQH4WFGX44JN · pith_short_8: 67YPNQH4

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/67YPNQH4WFGX44JNOFHT74KASL \
  | 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: f7f0f6c0fcb14d7e712d714f3ff14092e98992442db943ec8c3a6fdc5754e977

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f55dff7f28c0bb1654141819ae14de3a7381a8dd49075de3d0359047b2c43d48",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-11-29T14:59:18Z",
    "title_canon_sha256": "daf038c6cecb38c04f6684f89b4a3ccc9dae076061cdd598b1223d3bccb247bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.12225",
    "kind": "arxiv",
    "version": 2
  }
}