Pith Number

pith:VEDAK72R

pith:2008:VEDAK72R3UEK7PKHPABMUDM5QF

not attested not anchored not stored refs pending

On the moments and distribution of discrete Choquet integrals from continuous distributions

Ivan Kojadinovic, Jean-Luc Marichal

arxiv:0811.0468 v1 · 2008-11-04 · 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{VEDAK72R3UEK7PKHPABMUDM5QF}

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	2026-05-18T02:15:22.305475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a906057f51dd08afbd477802ca0d9d8160d5d4d455b2f052eb4745a9b6269257

Aliases

arxiv: 0811.0468 · arxiv_version: 0811.0468v1 · doi: 10.48550/arxiv.0811.0468 · pith_short_12: VEDAK72R3UEK · pith_short_16: VEDAK72R3UEK7PKH · pith_short_8: VEDAK72R

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/VEDAK72R3UEK7PKHPABMUDM5QF \
  | 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: a906057f51dd08afbd477802ca0d9d8160d5d4d455b2f052eb4745a9b6269257

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c976600c18cbecc2bff3c775f15fde34c568eba3108e3791e1047fda275dacea",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2008-11-04T10:32:25Z",
    "title_canon_sha256": "1b52e58e01714034a40f8fea1a9a637c8c6416e58fc0cc2ec9339477ac084f9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.0468",
    "kind": "arxiv",
    "version": 1
  }
}