Pith Number

pith:RT4XEQSD

pith:2013:RT4XEQSDXYWAN3G45Q4A3TFHTJ

not attested not anchored not stored refs pending

A twist in the M24 moonshine story

Anne Taormina, Katrin Wendland

arxiv:1303.3221 v3 · 2013-03-13 · hep-th · math.AG · 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{RT4XEQSDXYWAN3G45Q4A3TFHTJ}

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

On the Symmetry of Odd Leech Lattice CFT

Receipt and verification

First computed	2026-07-05T00:57:59.077771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cf9724243be2c06ecdcec380dcca79a76de4ec04f90ed4fc804c74381e9b52d

Aliases

arxiv: 1303.3221 · arxiv_version: 1303.3221v3 · doi: 10.48550/arxiv.1303.3221 · pith_short_12: RT4XEQSDXYWA · pith_short_16: RT4XEQSDXYWAN3G4 · pith_short_8: RT4XEQSD

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/RT4XEQSDXYWAN3G45Q4A3TFHTJ \
  | 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: 8cf9724243be2c06ecdcec380dcca79a76de4ec04f90ed4fc804c74381e9b52d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d924f5d9d3e5b45c9dcdb8a61f9fc6516558a2a55d06860b3e3de2db5ddb88b7",
    "cross_cats_sorted": [
      "math.AG",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-03-13T17:27:11Z",
    "title_canon_sha256": "d6a182fd304588b13c8417748edb96b6b8a21825858bd6d2e9caeb07d790ec67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.3221",
    "kind": "arxiv",
    "version": 3
  }
}