Pith Number

pith:TTG4KAJ6

pith:2012:TTG4KAJ6PZOJPMGDAESON3EJ2Y

not attested not anchored not stored refs pending

The Largest Mathieu Group and (Mock) Automorphic Forms

John F. R. Duncan, Miranda C. N. Cheng

arxiv:1201.4140 v1 · 2012-01-19 · math.RT · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TTG4KAJ6PZOJPMGDAESON3EJ2Y}

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	2026-05-18T04:04:15.854327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ccdc5013e7e5c97b0c30124e6ec89d60f8e31367f27a830fac0419dbd5da39d

Aliases

arxiv: 1201.4140 · arxiv_version: 1201.4140v1 · doi: 10.48550/arxiv.1201.4140 · pith_short_12: TTG4KAJ6PZOJ · pith_short_16: TTG4KAJ6PZOJPMGD · pith_short_8: TTG4KAJ6

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/TTG4KAJ6PZOJPMGDAESON3EJ2Y \
  | 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: 9ccdc5013e7e5c97b0c30124e6ec89d60f8e31367f27a830fac0419dbd5da39d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d11fcba0cf6b4626b8407ad31a353c3950c683f3c5424637ea339d46b592674f",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-01-19T18:39:46Z",
    "title_canon_sha256": "cbd2a711ab6507cb87b33c960585a8871872cf9784478a41c6d64e4ba29b50b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4140",
    "kind": "arxiv",
    "version": 1
  }
}