Pith Number

pith:WOYOOO2M

pith:2005:WOYOOO2MWWFMKZMVUOVDD7UGV7

not attested not anchored not stored refs pending

Infinite groups with large balls of torsion elements and small entropy

Laurent Bartholdi, Yves de Cornulier

arxiv:math/0510141 v1 · 2005-10-07 · 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{WOYOOO2MWWFMKZMVUOVDD7UGV7}

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	2026-05-18T04:42:36.321338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3b0e73b4cb58ac56595a3aa31fe86afc1fa42eced260abe69d0ed684614e3a6

Aliases

arxiv: math/0510141 · arxiv_version: math/0510141v1 · doi: 10.48550/arxiv.math/0510141 · pith_short_12: WOYOOO2MWWFM · pith_short_16: WOYOOO2MWWFMKZMV · pith_short_8: WOYOOO2M

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/WOYOOO2MWWFMKZMVUOVDD7UGV7 \
  | 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: b3b0e73b4cb58ac56595a3aa31fe86afc1fa42eced260abe69d0ed684614e3a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be4de25a7fca61820a8063f7676d3e8d13d0dc38f7a0c35915a9bd62ba4e6a14",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2005-10-07T09:12:52Z",
    "title_canon_sha256": "a140e8339abd8647ccbe66429956bca6c4af934a5f5d1532f77f9cbf281125d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0510141",
    "kind": "arxiv",
    "version": 1
  }
}