Pith Number

pith:7YHHLX5A

pith:2012:7YHHLX5AJKGGE7NZBH6A4OVEPQ

not attested not anchored not stored refs pending

The value at the mode in multivariate $t$ distributions: a curiosity or not?

Anouk Neven, Christophe Ley

arxiv:1211.1174 v3 · 2012-11-06 · math.ST · math.PR · 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{7YHHLX5AJKGGE7NZBH6A4OVEPQ}

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	2026-05-18T03:02:47.138072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe0e75dfa04a8c627db909fc0e3aa47c071c172b784307b431391eee31a5e180

Aliases

arxiv: 1211.1174 · arxiv_version: 1211.1174v3 · doi: 10.48550/arxiv.1211.1174 · pith_short_12: 7YHHLX5AJKGG · pith_short_16: 7YHHLX5AJKGGE7NZ · pith_short_8: 7YHHLX5A

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/7YHHLX5AJKGGE7NZBH6A4OVEPQ \
  | 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: fe0e75dfa04a8c627db909fc0e3aa47c071c172b784307b431391eee31a5e180

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28c02fe6cce46c66fea4a8c8219d21853431466d54391a1df0102d1ce3f3e0bd",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2012-11-06T10:49:04Z",
    "title_canon_sha256": "15f79dddc0721c3fe2f722b965a8af15c8b65e5953ccef17b67a2ad2b2ff3112"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1174",
    "kind": "arxiv",
    "version": 3
  }
}