Pith Number

pith:Z4WPXQJ6

pith:2004:Z4WPXQJ6NZTACBO2GCPAMGEBK2

not attested not anchored not stored refs pending

Strongly bounded groups and infinite powers of finite groups

Yves de Cornulier

arxiv:math/0411466 v6 · 2004-11-21 · math.GR · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z4WPXQJ6NZTACBO2GCPAMGEBK2}

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	2026-05-18T04:42:36.348911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf2cfbc13e6e660105da309e061881568e1891331d98dc4f7259bf9bc747c6bd

Aliases

arxiv: math/0411466 · arxiv_version: math/0411466v6 · doi: 10.48550/arxiv.math/0411466 · pith_short_12: Z4WPXQJ6NZTA · pith_short_16: Z4WPXQJ6NZTACBO2 · pith_short_8: Z4WPXQJ6

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/Z4WPXQJ6NZTACBO2GCPAMGEBK2 \
  | 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: cf2cfbc13e6e660105da309e061881568e1891331d98dc4f7259bf9bc747c6bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ef05d9083b6731756b7a79b58d8b3b74dca373426f0058bad5fa1296d4bf53c",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2004-11-21T22:41:44Z",
    "title_canon_sha256": "0c5b0d9af567752ea9e6702cef8a817f5b4bc818b29d5c198819031c699e117a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0411466",
    "kind": "arxiv",
    "version": 6
  }
}