Pith Number

pith:UXNIRZQ2

pith:2013:UXNIRZQ2BDXAZFWAE272GPHBGK

not attested not anchored not stored refs pending

The Monster and black-box groups

Robert A. Wilson

arxiv:1310.5016 v1 · 2013-10-18 · 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{UXNIRZQ2BDXAZFWAE272GPHBGK}

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	2026-05-18T03:10:01.526801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5da88e61a08ee0c96c026bfa33ce132b3e438e11fbb6a81e2bc7bf8cd02f7f4

Aliases

arxiv: 1310.5016 · arxiv_version: 1310.5016v1 · doi: 10.48550/arxiv.1310.5016 · pith_short_12: UXNIRZQ2BDXA · pith_short_16: UXNIRZQ2BDXAZFWA · pith_short_8: UXNIRZQ2

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/UXNIRZQ2BDXAZFWAE272GPHBGK \
  | 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: a5da88e61a08ee0c96c026bfa33ce132b3e438e11fbb6a81e2bc7bf8cd02f7f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62bd2e79aec590f5de830cd3f5c6c4f682195ae538281a6976b7090853d7ef81",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-10-18T13:38:38Z",
    "title_canon_sha256": "b92b70b49586f27c4bc0e223cb8fbc75c9514566aa31a1f3df575284e556a3b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.5016",
    "kind": "arxiv",
    "version": 1
  }
}