Pith Number

pith:JS3NTIDS

pith:2009:JS3NTIDS2DYF3YZE2K7FTTRYNR

not attested not anchored not stored refs pending

Groupes de Cremona, connexit\'e et simplicit\'e

J\'er\'emy Blanc

arxiv:0903.2489 v2 · 2009-03-13 · 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{JS3NTIDS2DYF3YZE2K7FTTRYNR}

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	2026-05-18T04:35:15.045257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cb6d9a072d0f05de324d2be59ce386c7ae88c7b14de665ac58cb61e40872ab4

Aliases

arxiv: 0903.2489 · arxiv_version: 0903.2489v2 · doi: 10.48550/arxiv.0903.2489 · pith_short_12: JS3NTIDS2DYF · pith_short_16: JS3NTIDS2DYF3YZE · pith_short_8: JS3NTIDS

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/JS3NTIDS2DYF3YZE2K7FTTRYNR \
  | 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: 4cb6d9a072d0f05de324d2be59ce386c7ae88c7b14de665ac58cb61e40872ab4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e1add6253e1a5a993a065c901164cc9d17c211f6eee7fe6c641ab0cbc6ecbc9",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-03-13T20:38:09Z",
    "title_canon_sha256": "b3fbf40985d01bad853caddc51c3105f3a898ff790a1c2a22041aab40210eec1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.2489",
    "kind": "arxiv",
    "version": 2
  }
}