Pith Number

pith:TFBCORYF

pith:2012:TFBCORYF62NYWAVTJ44THOA25T

not attested not anchored not stored refs pending

Exchangeable Hoeffding decompositions over finite sets: a characterization and counterexamples

Giovanni Peccati, Igor Pr\"unster, Omar El-Dakkak

arxiv:1205.5138 v1 · 2012-05-23 · 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{TFBCORYF62NYWAVTJ44THOA25T}

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	2026-05-18T03:55:02.150480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9942274705f69b8b02b34f3933b81aecf8a69c55519534695dc66db95e328e0d

Aliases

arxiv: 1205.5138 · arxiv_version: 1205.5138v1 · doi: 10.48550/arxiv.1205.5138 · pith_short_12: TFBCORYF62NY · pith_short_16: TFBCORYF62NYWAVT · pith_short_8: TFBCORYF

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/TFBCORYF62NYWAVTJ44THOA25T \
  | 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: 9942274705f69b8b02b34f3933b81aecf8a69c55519534695dc66db95e328e0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dfbc0b9536e4133e252c6771395ac6a08df7ff23f87be5ebf1adcfd06e1a426",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-05-23T09:35:06Z",
    "title_canon_sha256": "c349aad21eb48d8c1c18e1d7a0a7850e214dcadab67d9643067a719e76df4310"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5138",
    "kind": "arxiv",
    "version": 1
  }
}