Pith Number

pith:TPEHFGYI

pith:2016:TPEHFGYIXWY6ZD3HWXMBR53JWM

not attested not anchored not stored refs pending

Paul L\'evy, strong approximation and the St. Petersburg paradox

Istv\'an Berkes

arxiv:1609.08321 v1 · 2016-09-27 · 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{TPEHFGYIXWY6ZD3HWXMBR53JWM}

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	2026-05-18T01:03:46.145513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bc8729b08bdb1ec8f67b5d818f769b32bba5f83a2f55af966f9b46d5acc66dc

Aliases

arxiv: 1609.08321 · arxiv_version: 1609.08321v1 · doi: 10.48550/arxiv.1609.08321 · pith_short_12: TPEHFGYIXWY6 · pith_short_16: TPEHFGYIXWY6ZD3H · pith_short_8: TPEHFGYI

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/TPEHFGYIXWY6ZD3HWXMBR53JWM \
  | 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: 9bc8729b08bdb1ec8f67b5d818f769b32bba5f83a2f55af966f9b46d5acc66dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5d5aaf836729188e5d81849aae5c01732bab8caa360410deff49a49c5ed808b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-09-27T08:57:13Z",
    "title_canon_sha256": "58c4f4f35cf2231623977cabf62dbf1f4beea25362b816d65c6cb856b01a6906"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08321",
    "kind": "arxiv",
    "version": 1
  }
}