Pith Number

pith:MHJYUB4Q

pith:2023:MHJYUB4QM6V2TZ5P5DMZCSYH5C

not attested not anchored not stored refs pending

Benford's law and the C$\beta$E

Maurice Duits, Nedialko Bradinoff

arxiv:2302.02932 v4 · 2023-02-06 · 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{MHJYUB4QM6V2TZ5P5DMZCSYH5C}

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.

Cited by

1 paper in Pith

Moments of characteristic polynomials for classical $\beta$ ensembles

Receipt and verification

First computed	2026-07-05T07:24:48.160234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61d38a079067aba9e7afe8d9914b07e89358e0e41e798b353f52224520c06306

Aliases

arxiv: 2302.02932 · arxiv_version: 2302.02932v4 · doi: 10.48550/arxiv.2302.02932 · pith_short_12: MHJYUB4QM6V2 · pith_short_16: MHJYUB4QM6V2TZ5P · pith_short_8: MHJYUB4Q

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/MHJYUB4QM6V2TZ5P5DMZCSYH5C \
  | 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: 61d38a079067aba9e7afe8d9914b07e89358e0e41e798b353f52224520c06306

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afc50cdd1515b25be0ec7b82de2ac1e3f5e01054d79a4e9284d916ffe6007b77",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-02-06T17:07:29Z",
    "title_canon_sha256": "a05c4130117686da25eea630a5de8a6f9ffcd909a40e215ed5357e05b853cc62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.02932",
    "kind": "arxiv",
    "version": 4
  }
}