Pith Number

pith:2WTTXTVN

pith:2012:2WTTXTVNFBF7Y4OHSCKT5B2233

not attested not anchored not stored refs pending

Generalized Moonshine IV: Monstrous Lie algebras

Scott Carnahan

arxiv:1208.6254 v3 · 2012-08-30 · math.RT · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2WTTXTVNFBF7Y4OHSCKT5B2233}

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	2026-05-18T01:08:27.693102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5a73bcead284bfc71c790953e875adec0e5301cb17c0f5697427dc730ad02d5

Aliases

arxiv: 1208.6254 · arxiv_version: 1208.6254v3 · doi: 10.48550/arxiv.1208.6254 · pith_short_12: 2WTTXTVNFBF7 · pith_short_16: 2WTTXTVNFBF7Y4OH · pith_short_8: 2WTTXTVN

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/2WTTXTVNFBF7Y4OHSCKT5B2233 \
  | 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: d5a73bcead284bfc71c790953e875adec0e5301cb17c0f5697427dc730ad02d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fe326997d21c6b084f83cdfb94ee1dad0fbf28045ab0ce653bf98169820b75c",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-08-30T18:28:24Z",
    "title_canon_sha256": "e4a8725bba6258dea9a15501741b1f40a6723a6038209c4a4bfde8099e1fdf3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.6254",
    "kind": "arxiv",
    "version": 3
  }
}