Pith Number

pith:XJ2QZ6X5

pith:2020:XJ2QZ6X5LONXXAZ5QDLAIF7ISA

not attested not anchored not stored refs pending

A computer-friendly construction of the monster

Martin Seysen

arxiv:2002.10921 v5 · 2020-02-22 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XJ2QZ6X5LONXXAZ5QDLAIF7ISA}

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.

Cited by

1 paper in Pith

The Order of the Monster Finite Simple Group

Receipt and verification

First computed	2026-07-05T11:14:44.406442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba750cfafd5b9b7b833d80d60417e890079000f5a485f4041ae6ee3a608e1422

Aliases

arxiv: 2002.10921 · arxiv_version: 2002.10921v5 · doi: 10.48550/arxiv.2002.10921 · pith_short_12: XJ2QZ6X5LONX · pith_short_16: XJ2QZ6X5LONXXAZ5 · pith_short_8: XJ2QZ6X5

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/XJ2QZ6X5LONXXAZ5QDLAIF7ISA \
  | 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: ba750cfafd5b9b7b833d80d60417e890079000f5a485f4041ae6ee3a608e1422

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85070e84a0d7978c72da6eaeb1fe3d4d31d3f3d628ec5cb48fc6ac341bc1d034",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2020-02-22T23:06:33Z",
    "title_canon_sha256": "dc422701eb2d8e4881b18c2b710282ba354e0ef9cad1b10885d86fa3b894c1cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.10921",
    "kind": "arxiv",
    "version": 5
  }
}