Pith Number

pith:W4GAFVJZ

pith:2017:W4GAFVJZVH7WBU7HPKLJBY5GYK

not attested not anchored not stored refs pending

The pseudovariety of all nilpotent groups is tame

Khadijeh Alibabaei

arxiv:1712.09547 v1 · 2017-12-27 · 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{W4GAFVJZVH7WBU7HPKLJBY5GYK}

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	2026-05-18T00:27:08.020459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b70c02d539a9ff60d3e77a9690e3a6c29dd8bd3d9ceb09f01d3221d63b56399c

Aliases

arxiv: 1712.09547 · arxiv_version: 1712.09547v1 · doi: 10.48550/arxiv.1712.09547 · pith_short_12: W4GAFVJZVH7W · pith_short_16: W4GAFVJZVH7WBU7H · pith_short_8: W4GAFVJZ

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/W4GAFVJZVH7WBU7HPKLJBY5GYK \
  | 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: b70c02d539a9ff60d3e77a9690e3a6c29dd8bd3d9ceb09f01d3221d63b56399c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4641ce360fac8238d1163c1af8aac003b06d389418140ba1b2e0b55dfb514c86",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-12-27T11:11:46Z",
    "title_canon_sha256": "39ce1547c77517c608c99ae24af85cede939d028c82914f541450d1c2a696d58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.09547",
    "kind": "arxiv",
    "version": 1
  }
}