Pith Number

pith:OUMMEDHW

pith:2011:OUMMEDHW6OYUBJTVK6AQWSMOUK

not attested not anchored not stored refs pending

Beauville surfaces, moduli spaces and finite groups

Matteo Penegini, Shelly Garion

arxiv:1107.5534 v1 · 2011-07-27 · 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{OUMMEDHW6OYUBJTVK6AQWSMOUK}

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	2026-05-18T04:16:41.791432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7518c20cf6f3b140a67557810b498ea29df49e74ea9dcd87fce0fbc6088e7d7b

Aliases

arxiv: 1107.5534 · arxiv_version: 1107.5534v1 · doi: 10.48550/arxiv.1107.5534 · pith_short_12: OUMMEDHW6OYU · pith_short_16: OUMMEDHW6OYUBJTV · pith_short_8: OUMMEDHW

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/OUMMEDHW6OYUBJTVK6AQWSMOUK \
  | 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: 7518c20cf6f3b140a67557810b498ea29df49e74ea9dcd87fce0fbc6088e7d7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c9e1e1489bb13278e166742b51ba21aaabfa8a769631c0200b50d4e497a61d9",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-07-27T16:49:01Z",
    "title_canon_sha256": "cf1f4052d5fe673490e6dbe8fc667b83d00dd0861356df7efd040fceabb9866d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5534",
    "kind": "arxiv",
    "version": 1
  }
}