Pith Number

pith:ZK4HDMMO

pith:2009:ZK4HDMMOHUQKK5AOT264YTAGML

not attested not anchored not stored refs pending

New Beauville surfaces and finite simple groups

Matteo Penegini, Shelly Garion

arxiv:0910.5402 v4 · 2009-10-28 · math.GR · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZK4HDMMOHUQKK5AOT264YTAGML}

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	2026-05-18T03:39:43.911197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cab871b18e3d20a5740e9ebdcc4c0662c92a60174ab9e88928fee01c36c967de

Aliases

arxiv: 0910.5402 · arxiv_version: 0910.5402v4 · doi: 10.48550/arxiv.0910.5402 · pith_short_12: ZK4HDMMOHUQK · pith_short_16: ZK4HDMMOHUQKK5AO · pith_short_8: ZK4HDMMO

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/ZK4HDMMOHUQKK5AOT264YTAGML \
  | 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: cab871b18e3d20a5740e9ebdcc4c0662c92a60174ab9e88928fee01c36c967de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c680fdd48515e959703b00c4c728e73e2d67b15aec724a175dde3936fe8d49c",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-10-28T15:12:03Z",
    "title_canon_sha256": "599e564b81d5434e80ea80c822a859c238c95a3e785ad75f550a0e487d2266a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.5402",
    "kind": "arxiv",
    "version": 4
  }
}