Pith Number

pith:GLHOOP2X

pith:2010:GLHOOP2XSJXGXITZN4MXPWHWSM

not attested not anchored not stored refs pending

Mathieu Moonshine in the elliptic genus of K3

Matthias R. Gaberdiel, Roberto Volpato, Stefan Hohenegger

arxiv:1008.3778 v3 · 2010-08-23 · hep-th · 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{GLHOOP2XSJXGXITZN4MXPWHWSM}

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	2026-05-18T04:20:23.319051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32cee73f57926e6ba2796f1977d8f6932e47dc9898b49e2bdc8ab32d34aa9198

Aliases

arxiv: 1008.3778 · arxiv_version: 1008.3778v3 · doi: 10.48550/arxiv.1008.3778 · pith_short_12: GLHOOP2XSJXG · pith_short_16: GLHOOP2XSJXGXITZ · pith_short_8: GLHOOP2X

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/GLHOOP2XSJXGXITZN4MXPWHWSM \
  | 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: 32cee73f57926e6ba2796f1977d8f6932e47dc9898b49e2bdc8ab32d34aa9198

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c645285dbbda195383ddf9c90a775f44e8138007686542774ba7dd8c16662717",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-08-23T09:16:54Z",
    "title_canon_sha256": "838dcd6b025b6b3b825297fb6e4ad215bd23a2a874dec81b6096ca802f8d8934"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3778",
    "kind": "arxiv",
    "version": 3
  }
}