Pith Number

pith:YRGCLUVB

pith:2017:YRGCLUVBG6HNJN7UX75YTFVMP2

not attested not anchored not stored refs pending

The middle-scale asymptotics of Wishart matrices

Didier Ch\'etelat, Martin T. Wells

arxiv:1705.03510 v1 · 2017-05-09 · math.PR · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YRGCLUVBG6HNJN7UX75YTFVMP2}

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	2026-05-18T00:44:43.694596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c44c25d2a1378ed4b7f4bffb8996ac7e9f5dd40f53b12920edf84d83d0d5b453

Aliases

arxiv: 1705.03510 · arxiv_version: 1705.03510v1 · doi: 10.48550/arxiv.1705.03510 · pith_short_12: YRGCLUVBG6HN · pith_short_16: YRGCLUVBG6HNJN7U · pith_short_8: YRGCLUVB

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/YRGCLUVBG6HNJN7UX75YTFVMP2 \
  | 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: c44c25d2a1378ed4b7f4bffb8996ac7e9f5dd40f53b12920edf84d83d0d5b453

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ff153f8bff9c491d29c2d97ec59a659a5b52d64ae86d5bfb02a873b8260b96b",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-05-09T19:47:57Z",
    "title_canon_sha256": "258df1f7853d7a6042babf52c94604a1c06e30fb5dc5bfca580e8493a913d958"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.03510",
    "kind": "arxiv",
    "version": 1
  }
}