Pith Number

pith:KUHDZXFN

pith:2009:KUHDZXFNRAAK6ZMCV7GTZWIJFC

not attested not anchored not stored refs pending

Boundedly simple groups of automorphisms of trees

Jakub Gismatullin

arxiv:0905.0913 v6 · 2009-05-06 · math.GR · math.CO · 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{KUHDZXFNRAAK6ZMCV7GTZWIJFC}

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	2026-05-18T03:52:26.752927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

550e3cdcad8800af6582afcd3cd909289ba07944678594d526815341c8ce5d24

Aliases

arxiv: 0905.0913 · arxiv_version: 0905.0913v6 · doi: 10.48550/arxiv.0905.0913 · pith_short_12: KUHDZXFNRAAK · pith_short_16: KUHDZXFNRAAK6ZMC · pith_short_8: KUHDZXFN

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/KUHDZXFNRAAK6ZMCV7GTZWIJFC \
  | 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: 550e3cdcad8800af6582afcd3cd909289ba07944678594d526815341c8ce5d24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6761dfd9c5db267b0d7b7381c15209dd91f51a6f27e3ddf54fc43e660c66d8b6",
    "cross_cats_sorted": [
      "math.CO",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-05-06T20:15:29Z",
    "title_canon_sha256": "27698e025bd23fe390838b5b13854db8e4ebecff4cdea82fa97b032aa0aab4bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.0913",
    "kind": "arxiv",
    "version": 6
  }
}