Pith Number

pith:WMHCJDIJ

pith:2009:WMHCJDIJNR4CXL2B3CEALYBEXE

not attested not anchored not stored refs pending

On the Cantor-Bendixson rank of metabelian groups

Yves Cornulier

arxiv:0904.4230 v3 · 2009-04-27 · math.GR · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WMHCJDIJNR4CXL2B3CEALYBEXE}

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	2026-05-18T04:02:13.850397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b30e248d096c782baf41d88805e024b93e5ff19775e838eaef622f060568c37c

Aliases

arxiv: 0904.4230 · arxiv_version: 0904.4230v3 · doi: 10.48550/arxiv.0904.4230 · pith_short_12: WMHCJDIJNR4C · pith_short_16: WMHCJDIJNR4CXL2B · pith_short_8: WMHCJDIJ

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/WMHCJDIJNR4CXL2B3CEALYBEXE \
  | 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: b30e248d096c782baf41d88805e024b93e5ff19775e838eaef622f060568c37c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a917a7829ee1880a98743ec48829dc564083c4a3333ac084a3e60a573fa15ce",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-04-27T18:12:02Z",
    "title_canon_sha256": "25fa2e57dffe37a75a5b83abb700fb101636e15b7ad941d2acbaa03418567b3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.4230",
    "kind": "arxiv",
    "version": 3
  }
}