Pith Number

pith:LW6WRCHQ

pith:2012:LW6WRCHQNGZKZBQJTMKWO2SLZW

not attested not anchored not stored refs pending

Modular Subgroups, Dessins d'Enfants and Elliptic K3 Surfaces

James Read, John McKay, Yang-Hui He

arxiv:1211.1931 v2 · 2012-11-08 · math.AG · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LW6WRCHQNGZKZBQJTMKWO2SLZW}

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	2026-05-17T23:53:18.319919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5dbd6888f069b2ac86099b15676a4bcdac7aca1c9c3df3fe44480664422290d4

Aliases

arxiv: 1211.1931 · arxiv_version: 1211.1931v2 · doi: 10.48550/arxiv.1211.1931 · pith_short_12: LW6WRCHQNGZK · pith_short_16: LW6WRCHQNGZKZBQJ · pith_short_8: LW6WRCHQ

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/LW6WRCHQNGZKZBQJTMKWO2SLZW \
  | 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: 5dbd6888f069b2ac86099b15676a4bcdac7aca1c9c3df3fe44480664422290d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bae0d5f2b5892a8853ce96261b18527c2ed99cba8d39078bfaee2e74dc5bee9",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-11-08T18:23:19Z",
    "title_canon_sha256": "c229b80aa016f37036c8a3d600f629723c07eb78b8a8f55539e7a10631423fc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1931",
    "kind": "arxiv",
    "version": 2
  }
}