Pith Number

pith:54V6KGNG

pith:2018:54V6KGNGKQAABSIEBC65HO4HYX

not attested not anchored not stored refs pending

Random generation under the Ewens distribution

Sean Eberhard

arxiv:1808.08892 v2 · 2018-08-27 · math.GR · 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{54V6KGNGKQAABSIEBC65HO4HYX}

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	2026-05-17T23:55:55.422741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef2be519a6540000c90408bdd3bb87c5d51cc1aaef01efda14476ea99ed86401

Aliases

arxiv: 1808.08892 · arxiv_version: 1808.08892v2 · doi: 10.48550/arxiv.1808.08892 · pith_short_12: 54V6KGNGKQAA · pith_short_16: 54V6KGNGKQAABSIE · pith_short_8: 54V6KGNG

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/54V6KGNGKQAABSIEBC65HO4HYX \
  | 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: ef2be519a6540000c90408bdd3bb87c5d51cc1aaef01efda14476ea99ed86401

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e4a8ccc82b9f434f490762b2310935b403933b9eea57feb45fd3a78990123f0",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-08-27T15:46:17Z",
    "title_canon_sha256": "2514c5189476693bd5c05c18f025327ee92950d2bf2bad3ea65c29afed05a097"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.08892",
    "kind": "arxiv",
    "version": 2
  }
}