Pith Number

pith:OTC45XL5

pith:2018:OTC45XL5BIX2QU6RGOPICANU4T

not attested not anchored not stored refs pending

An elementary proof of de Finetti's Theorem

Werner Kirsch

arxiv:1809.00882 v1 · 2018-09-04 · 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{OTC45XL5BIX2QU6RGOPICANU4T}

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	2026-05-18T00:06:32.248601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74c5cedd7d0a2fa853d1339e8101b4e4f2354b6bb15967f44c43dc0549e9a04c

Aliases

arxiv: 1809.00882 · arxiv_version: 1809.00882v1 · doi: 10.48550/arxiv.1809.00882 · pith_short_12: OTC45XL5BIX2 · pith_short_16: OTC45XL5BIX2QU6R · pith_short_8: OTC45XL5

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/OTC45XL5BIX2QU6RGOPICANU4T \
  | 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: 74c5cedd7d0a2fa853d1339e8101b4e4f2354b6bb15967f44c43dc0549e9a04c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a62b067385b3767de008623bed4494c35f90096cfd7e957976123612c5cedd87",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-09-04T10:41:48Z",
    "title_canon_sha256": "02d6f989fb68d8f568229943e5b783058819caab1fd7e8ca62e24e6e75207a70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.00882",
    "kind": "arxiv",
    "version": 1
  }
}