Pith Number

pith:RK24UQ2S

pith:2025:RK24UQ2SO2FW76ERDUDT7Z55FW

not attested not anchored not stored refs pending

Moments of characteristic polynomials for classical $\beta$ ensembles

Bo-Jian Shen, Peter J. Forrester

arxiv:2502.07142 v2 · 2025-02-11 · 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{RK24UQ2SO2FW76ERDUDT7Z55FW}

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	2026-07-05T11:28:34.010661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ab5ca4352768b6ff8911d073fe7bd2d9d725332022489d6e791430f79628f92

Aliases

arxiv: 2502.07142 · arxiv_version: 2502.07142v2 · doi: 10.48550/arxiv.2502.07142 · pith_short_12: RK24UQ2SO2FW · pith_short_16: RK24UQ2SO2FW76ER · pith_short_8: RK24UQ2S

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/RK24UQ2SO2FW76ERDUDT7Z55FW \
  | 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: 8ab5ca4352768b6ff8911d073fe7bd2d9d725332022489d6e791430f79628f92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f87301fa08dd466b06b5ceb3e6367f583fef048621116f5a04918bdd889e2c6",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-02-11T00:12:36Z",
    "title_canon_sha256": "2ec542d0a4605ccd2a237f42334b040f1e6249b5bd6a7e32d657b1207697e7a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.07142",
    "kind": "arxiv",
    "version": 2
  }
}