Pith Number

pith:ZC52LAQL

pith:2011:ZC52LAQLMPCGSFA2PAKO6EVEM5

not attested not anchored not stored refs pending

A generalization of the Erd\H{o}s-Tur\'an law for the order of random permutation

Alexander Gnedin, Alexander Iksanov, Alexander Marynych

arxiv:1104.4953 v3 · 2011-04-26 · math.PR · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZC52LAQLMPCGSFA2PAKO6EVEM5}

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	2026-05-18T03:56:34.094816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8bba5820b63c469141a7814ef12a46745ede687699f132c1015568905a16eb2

Aliases

arxiv: 1104.4953 · arxiv_version: 1104.4953v3 · doi: 10.48550/arxiv.1104.4953 · pith_short_12: ZC52LAQLMPCG · pith_short_16: ZC52LAQLMPCGSFA2 · pith_short_8: ZC52LAQL

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/ZC52LAQLMPCGSFA2PAKO6EVEM5 \
  | 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: c8bba5820b63c469141a7814ef12a46745ede687699f132c1015568905a16eb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb5c57845410269bf246ea4c8bd2d48902f8c47941a8e2ed366e145da3e3b1f2",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-04-26T15:57:36Z",
    "title_canon_sha256": "26d2b694dfdfabdd18043e7cc26a87296ef146807c0c826e9f7cd206ccb1b666"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4953",
    "kind": "arxiv",
    "version": 3
  }
}