Pith Number

pith:VHCUDVLO

pith:2010:VHCUDVLOPEHZW55THYATMMYLP3

not attested not anchored not stored refs pending

Three embeddings of the Klein simple group into the Cremona group of rank three

Constantin Shramov, Ivan Cheltsov

arxiv:1010.1918 v3 · 2010-10-10 · 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{VHCUDVLOPEHZW55THYATMMYLP3}

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	2026-05-18T04:05:45.934245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9c541d56e790f9b77b33e0136330b7ec06094cbc90677fb12273fa5a58d55ac

Aliases

arxiv: 1010.1918 · arxiv_version: 1010.1918v3 · doi: 10.48550/arxiv.1010.1918 · pith_short_12: VHCUDVLOPEHZ · pith_short_16: VHCUDVLOPEHZW55T · pith_short_8: VHCUDVLO

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/VHCUDVLOPEHZW55THYATMMYLP3 \
  | 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: a9c541d56e790f9b77b33e0136330b7ec06094cbc90677fb12273fa5a58d55ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8d07f285e3384c5cc8a04539549c302186a7b9395d54ed1b34a498651c8b585",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-10-10T12:58:38Z",
    "title_canon_sha256": "03f5baa2310a6b88ad3499deb41bc35086cb91795fc1885952471135b61529c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1918",
    "kind": "arxiv",
    "version": 3
  }
}