Pith Number

pith:OTYAFVNH

pith:2012:OTYAFVNH6Z4MCX6BKF5FZMYPU5

not attested not anchored not stored refs pending

Invariance properties of random vectors and stochastic processes based on the zonoid concept

Ilya Molchanov, Kaspar Stucki, Michael Schmutz

arxiv:1203.6085 v2 · 2012-03-27 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OTYAFVNH6Z4MCX6BKF5FZMYPU5}

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	2026-05-18T02:48:27.556917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74f002d5a7f678c15fc1517a5cb30fa77dc57bc5c724b786f47c67f65175feee

Aliases

arxiv: 1203.6085 · arxiv_version: 1203.6085v2 · doi: 10.48550/arxiv.1203.6085 · pith_short_12: OTYAFVNH6Z4M · pith_short_16: OTYAFVNH6Z4MCX6B · pith_short_8: OTYAFVNH

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/OTYAFVNH6Z4MCX6BKF5FZMYPU5 \
  | 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: 74f002d5a7f678c15fc1517a5cb30fa77dc57bc5c724b786f47c67f65175feee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fe3a3b37a4a3b47bee06b0210f5fb190e6299663cb97ed393b5a4e47dff33f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-03-27T20:47:36Z",
    "title_canon_sha256": "2b0410fca1fc4bcfd733cc9993bc1e722a7a28f2c05080e00f948a821f489c0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.6085",
    "kind": "arxiv",
    "version": 2
  }
}