Pith Number

pith:JU5NZSZE

pith:2009:JU5NZSZE6QD2DQH7DLVU6CGUWS

not attested not anchored not stored refs pending

Jucys-Murphy Elements and Unitary Matrix Integrals

Jonathan Novak, Sho Matsumoto

arxiv:0905.1992 v3 · 2009-05-13 · math.CO · math-ph · math.MP · math.PR · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JU5NZSZE6QD2DQH7DLVU6CGUWS}

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	2026-05-18T03:34:46.724562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d3adccb24f407a1c0ff1aeb4f08d4b49187c127eaa47d75146bc62a4482afbf

Aliases

arxiv: 0905.1992 · arxiv_version: 0905.1992v3 · doi: 10.48550/arxiv.0905.1992 · pith_short_12: JU5NZSZE6QD2 · pith_short_16: JU5NZSZE6QD2DQH7 · pith_short_8: JU5NZSZE

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/JU5NZSZE6QD2DQH7DLVU6CGUWS \
  | 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: 4d3adccb24f407a1c0ff1aeb4f08d4b49187c127eaa47d75146bc62a4482afbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0baf651e863892adffa3502143370f0b0c68a7e71da4b10f10197f4012f3dcfd",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-05-13T00:39:57Z",
    "title_canon_sha256": "690cf796be23d748966ede8dd530f8b70344e6a8b0f04501be358d2362b939f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.1992",
    "kind": "arxiv",
    "version": 3
  }
}