Pith Number

pith:OF4GJGQJ

pith:2025:OF4GJGQJ7WAEPM6RRTZ7Q4R3B2

not attested not anchored not stored refs pending

Bulk asymptotics of the Gaussian $\beta$-ensemble characteristic polynomial

Elliot Paquette, Gaultier Lambert

arxiv:2508.01458 v1 · 2025-08-02 · 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{OF4GJGQJ7WAEPM6RRTZ7Q4R3B2}

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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

1 paper in Pith

$\mathsf{GL}_N(\mathbb{C})$ Brownian motion and stochastic PDE on entire functions

Receipt and verification

First computed	2026-07-05T11:47:39.311620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7178649a09fd8047b3d18cf3f8723b0ea7c254968a72496ef0582b2f2f549c5f

Aliases

arxiv: 2508.01458 · arxiv_version: 2508.01458v1 · doi: 10.48550/arxiv.2508.01458 · pith_short_12: OF4GJGQJ7WAE · pith_short_16: OF4GJGQJ7WAEPM6R · pith_short_8: OF4GJGQJ

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/OF4GJGQJ7WAEPM6RRTZ7Q4R3B2 \
  | 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: 7178649a09fd8047b3d18cf3f8723b0ea7c254968a72496ef0582b2f2f549c5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1473862c95fd16d29d688349b94ee9c175dcb19d0d157d15e4dc1f38576216f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-08-02T18:22:58Z",
    "title_canon_sha256": "a96ce931638ef38d71ddfc8c51ef133bafbf096849427ded572cbc4d78a356eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.01458",
    "kind": "arxiv",
    "version": 1
  }
}