Pith Number

pith:5JHYY4KM

pith:2013:5JHYY4KM4EXJNNTD6DJLBSLFKM

not attested not anchored not stored refs pending

A Tricentenary history of the Law of Large Numbers

Eugene Seneta

arxiv:1309.6488 v1 · 2013-09-25 · math.ST · math.HO · 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{5JHYY4KM4EXJNNTD6DJLBSLFKM}

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	2026-05-18T03:12:20.886368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea4f8c714ce12e96b663f0d2b0c96553100cab2b8d8d3fda44cab9f9a9f9a417

Aliases

arxiv: 1309.6488 · arxiv_version: 1309.6488v1 · doi: 10.48550/arxiv.1309.6488 · pith_short_12: 5JHYY4KM4EXJ · pith_short_16: 5JHYY4KM4EXJNNTD · pith_short_8: 5JHYY4KM

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/5JHYY4KM4EXJNNTD6DJLBSLFKM \
  | 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: ea4f8c714ce12e96b663f0d2b0c96553100cab2b8d8d3fda44cab9f9a9f9a417

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "564d91c44978578e94281ed1c36db3679ed9ff3a33b70eb945a37c399d545847",
    "cross_cats_sorted": [
      "math.HO",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-09-25T12:55:01Z",
    "title_canon_sha256": "bda2528af2aea4eff6d644de8a60a5ac1633d08c9f2bf92925339d90ec6fe7b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6488",
    "kind": "arxiv",
    "version": 1
  }
}