Pith. sign in
Pith Number

pith:HZDTWCBE

pith:2025:HZDTWCBEJNTASVS2APSOHZ5XHM
not attested not anchored not stored refs pending

Smallest gaps of the two-dimensional Coulomb gas

Christophe Charlier

arxiv:2507.23502 v3 · 2025-07-31 · math.PR · 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{HZDTWCBEJNTASVS2APSOHZ5XHM}

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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.

Cited by

6 papers in Pith

Flowing to Normality and the Fate of the Single Ring Theorem
Free energy expansion of determinantal Coulomb gases in the quadratic fields with a point charge
Poisson approximation of the largest gaps between zeros of a stationary Gaussian process
A pluricomplex error-function kernel at the edge of polynomial Bergman kernels
Universality for fluctuations of counting statistics of random normal matrices
Receipt and verification
First computed 2026-07-05T11:58:33.891615Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

3e473b08244b6609565a03e4e3e7b73b355fec105eaad504d07f0de8db5f2d2a

Aliases

arxiv: 2507.23502 · arxiv_version: 2507.23502v3 · doi: 10.48550/arxiv.2507.23502 · pith_short_12: HZDTWCBEJNTA · pith_short_16: HZDTWCBEJNTASVS2 · pith_short_8: HZDTWCBE
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/HZDTWCBEJNTASVS2APSOHZ5XHM \
  | 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: 3e473b08244b6609565a03e4e3e7b73b355fec105eaad504d07f0de8db5f2d2a
Canonical record JSON 
{
  "metadata": {
    "abstract_canon_sha256": "1b39ccd313afb391a02b81fa2e0ec70c91edf912ae1b461925c2e55ce43a8605",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-07-31T12:41:33Z",
    "title_canon_sha256": "4502f6e9cf0b35f316b58703aa4243d3011efe6ad82467340e51e7084651bcd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.23502",
    "kind": "arxiv",
    "version": 3
  }
}