Pith Number

pith:3AOOROH4

pith:2012:3AOOROH4CR6G6JMYIV4VY52JLO

not attested not anchored not stored refs pending

The Zipf law for random texts with unequal probabilities of occurrence of letters and the Pascal pyramid

E.Yu. Lerner, V.V. Bochkarev

arxiv:1205.0796 v1 · 2012-05-03 · math.ST · math.CO · 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{3AOOROH4CR6G6JMYIV4VY52JLO}

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	2026-05-18T01:13:38.485021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d81ce8b8fc147c6f259845795c77495b9517008948bd186af8af702839c7dd34

Aliases

arxiv: 1205.0796 · arxiv_version: 1205.0796v1 · doi: 10.48550/arxiv.1205.0796 · pith_short_12: 3AOOROH4CR6G · pith_short_16: 3AOOROH4CR6G6JMY · pith_short_8: 3AOOROH4

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/3AOOROH4CR6G6JMYIV4VY52JLO \
  | 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: d81ce8b8fc147c6f259845795c77495b9517008948bd186af8af702839c7dd34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abb43cb5957f9b4ad4ef9368f4f146066b10c05e4f89268f544cae8f52651433",
    "cross_cats_sorted": [
      "math.CO",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2012-05-03T19:31:44Z",
    "title_canon_sha256": "80ac3afd511f0dc53da12c473d06750819ddfc1eb0250fc4e1597f754f3b7c77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0796",
    "kind": "arxiv",
    "version": 1
  }
}