Pith Number

pith:76PZMXCP

pith:2013:76PZMXCPLPYKRA7KVOUCB7KCAH

not attested not anchored not stored refs pending

On Kesten's Multivariate Choquet-Deny Lemma

Sebastian Mentemeier

arxiv:1302.5284 v2 · 2013-02-21 · 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{76PZMXCPLPYKRA7KVOUCB7KCAH}

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	2026-05-18T02:56:21.359584Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff9f965c4f5bf0a883eaaba820fd4201ddd45158f2c220927299f9831d569ad1

Aliases

arxiv: 1302.5284 · arxiv_version: 1302.5284v2 · doi: 10.48550/arxiv.1302.5284 · pith_short_12: 76PZMXCPLPYK · pith_short_16: 76PZMXCPLPYKRA7K · pith_short_8: 76PZMXCP

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/76PZMXCPLPYKRA7KVOUCB7KCAH \
  | 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: ff9f965c4f5bf0a883eaaba820fd4201ddd45158f2c220927299f9831d569ad1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4978a93a27df3d4ab8a4e9d4dae22cb53e431cefa2227dd6ed2a889b783fa3c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-02-21T14:01:22Z",
    "title_canon_sha256": "8f8bf63632efa880a4ff33479788ad6c78f660c2182b5076546aabb50775a1a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5284",
    "kind": "arxiv",
    "version": 2
  }
}