Pith Number

pith:BRZXH4V5

pith:2011:BRZXH4V5OEXUP4FGGBVFBADUGE

not attested not anchored not stored refs pending

Some Fundamental Properties of a Multivariate von Mises Distribution

Jochen Voss, Kanti V. Mardia

arxiv:1109.6042 v2 · 2011-09-27 · 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{BRZXH4V5OEXUP4FGGBVFBADUGE}

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	2026-05-18T03:19:13.483303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c7373f2bd712f47f0a6306a5080743127df1842834a69eb86538ed34b487815

Aliases

arxiv: 1109.6042 · arxiv_version: 1109.6042v2 · doi: 10.48550/arxiv.1109.6042 · pith_short_12: BRZXH4V5OEXU · pith_short_16: BRZXH4V5OEXUP4FG · pith_short_8: BRZXH4V5

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/BRZXH4V5OEXUP4FGGBVFBADUGE \
  | 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: 0c7373f2bd712f47f0a6306a5080743127df1842834a69eb86538ed34b487815

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad99b729ae069785331fef70f42cb0cc8ef9f45701258aadbf7b58ade549f156",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2011-09-27T21:27:37Z",
    "title_canon_sha256": "acdb0203307fa60698025b5e5851e4b8bddc2ff6c98f2b4fb3418beda3800504"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6042",
    "kind": "arxiv",
    "version": 2
  }
}