Pith Number

pith:3XFR5SJI

pith:2017:3XFR5SJINYVUWINDKZO4ACE6J3

not attested not anchored not stored refs pending

Calculations involving the multivariate normal and multivariate t distributions with and without truncation

Adrian Mander, Michael Grayling

arxiv:1711.10186 v1 · 2017-11-28 · stat.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3XFR5SJINYVUWINDKZO4ACE6J3}

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	2026-05-18T00:29:23.058440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddcb1ec9286e2b4b21a3565dc0089e4efbb22d1a9792455eab4eb44012eb7089

Aliases

arxiv: 1711.10186 · arxiv_version: 1711.10186v1 · doi: 10.48550/arxiv.1711.10186 · pith_short_12: 3XFR5SJINYVU · pith_short_16: 3XFR5SJINYVUWIND · pith_short_8: 3XFR5SJI

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/3XFR5SJINYVUWINDKZO4ACE6J3 \
  | 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: ddcb1ec9286e2b4b21a3565dc0089e4efbb22d1a9792455eab4eb44012eb7089

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cdd65d9d02325819e63193a5b4d7fce1eacb83e12a6ee77d79b1353b2ef2ac9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.CO",
    "submitted_at": "2017-11-28T09:02:15Z",
    "title_canon_sha256": "5ffaab773aa4bb756a0d6bdf2e04bbc0b9584a600cf9155031fab0a3a3de4ed7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.10186",
    "kind": "arxiv",
    "version": 1
  }
}