Pith Number

pith:5WLAIX2E

pith:2016:5WLAIX2EUV2OIOJUXWITYYCVVE

not attested not anchored not stored refs pending

A boundary theory approach to de Finetti's theorem

Julian Gerstenberg, Klaas Hagemann, Rudolf Gr\"ubel

arxiv:1610.02561 v1 · 2016-10-08 · 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{5WLAIX2EUV2OIOJUXWITYYCVVE}

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	2026-05-18T01:02:51.236246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed96045f44a574e43934bd913c6055a9014005cfc92b68479a59bf3b6d081eed

Aliases

arxiv: 1610.02561 · arxiv_version: 1610.02561v1 · doi: 10.48550/arxiv.1610.02561 · pith_short_12: 5WLAIX2EUV2O · pith_short_16: 5WLAIX2EUV2OIOJU · pith_short_8: 5WLAIX2E

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/5WLAIX2EUV2OIOJUXWITYYCVVE \
  | 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: ed96045f44a574e43934bd913c6055a9014005cfc92b68479a59bf3b6d081eed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbd2fd4d1a1c4943068e37cbcac415e5c05334b58e6138193f4f1a4d1e36b8bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-10-08T17:53:23Z",
    "title_canon_sha256": "b48ec9653e759e528dee695fb91f8037d8cfaba1bad1373108c6da68b2c12698"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.02561",
    "kind": "arxiv",
    "version": 1
  }
}