Pith Number

pith:SHK2SH4F

pith:2026:SHK2SH4F4TP6BIF7HSLSDP5TYV

not attested not anchored not stored refs pending

On Wilks' problem: Exact recursive formulas via Stein's method for the joint moments of disjoint principal minors of Wishart random matrices

Fr\'ed\'eric Ouimet, Robert E. Gaunt

arxiv:2607.03984 v1 · 2026-07-04 · math.PR · math.ST · stat.TH

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SHK2SH4F4TP6BIF7HSLSDP5TYV}

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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.

Receipt and verification

First computed	2026-07-07T02:18:50.888305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91d5a91f85e4dfe0a0bf3c9721bfb3c553027f2571df757699a0525d9778f544

Aliases

arxiv: 2607.03984 · arxiv_version: 2607.03984v1 · doi: 10.48550/arxiv.2607.03984 · pith_short_12: SHK2SH4F4TP6 · pith_short_16: SHK2SH4F4TP6BIF7 · pith_short_8: SHK2SH4F

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/SHK2SH4F4TP6BIF7HSLSDP5TYV \
  | 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: 91d5a91f85e4dfe0a0bf3c9721bfb3c553027f2571df757699a0525d9778f544

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95d789dff95800621331ebdf9fcff37f557cf2dc9cf9f87ecd1ff1e18ae52c3d",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-04T18:51:05Z",
    "title_canon_sha256": "07e5e996073f892cf40dbb266397be73d025b03ced1282b89bb9097bda30811c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.03984",
    "kind": "arxiv",
    "version": 1
  }
}