Pith Number

pith:FPVUJ33D

pith:2009:FPVUJ33DBXZZ6T2TVERIGGPVK7

not attested not anchored not stored refs pending

p-elementary subgroups of the Cremona group of rank 3

Yuri Prokhorov

arxiv:0909.3302 v5 · 2009-09-17 · 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{FPVUJ33DBXZZ6T2TVERIGGPVK7}

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	2026-05-18T04:18:46.320023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2beb44ef630df39f4f53a9228319f557edd9176f53e090ab4515e89cf1cb6e0d

Aliases

arxiv: 0909.3302 · arxiv_version: 0909.3302v5 · doi: 10.48550/arxiv.0909.3302 · pith_short_12: FPVUJ33DBXZZ · pith_short_16: FPVUJ33DBXZZ6T2T · pith_short_8: FPVUJ33D

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/FPVUJ33DBXZZ6T2TVERIGGPVK7 \
  | 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: 2beb44ef630df39f4f53a9228319f557edd9176f53e090ab4515e89cf1cb6e0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9609d0409ad31f6cbe50ac1f450a886dafd4a45831bbc7b07b9c17994831e97",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-09-17T20:00:41Z",
    "title_canon_sha256": "e81dad2bc57aa8616c29ee4e83b6293099acc13b7168e950d3d5fbab7a8e2d58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.3302",
    "kind": "arxiv",
    "version": 5
  }
}