Pith Number

pith:3QWZ4BVG

pith:2015:3QWZ4BVG34ISQ5KBNOYACBIRDL

not attested not anchored not stored refs pending

On Engel groups, nilpotent groups, rings, braces and the Yang-Baxter equation

Agata Smoktunowicz

arxiv:1509.00420 v4 · 2015-09-01 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3QWZ4BVG34ISQ5KBNOYACBIRDL}

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	2026-05-18T00:46:32.162201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc2d9e06a6df112875416bb00105111ad0f6a3065a0ac4f96c5a045f6068aa92

Aliases

arxiv: 1509.00420 · arxiv_version: 1509.00420v4 · doi: 10.48550/arxiv.1509.00420 · pith_short_12: 3QWZ4BVG34IS · pith_short_16: 3QWZ4BVG34ISQ5KB · pith_short_8: 3QWZ4BVG

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/3QWZ4BVG34ISQ5KBNOYACBIRDL \
  | 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: dc2d9e06a6df112875416bb00105111ad0f6a3065a0ac4f96c5a045f6068aa92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3522ed89b483e373c212bb2b9d55611444ce1838db09b40fe2caa8a9a05b2a63",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-09-01T18:01:30Z",
    "title_canon_sha256": "da95b89e83bf09d1fc3a13970cd35a9c35da43c8d8b56e9ef1b584f250615feb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00420",
    "kind": "arxiv",
    "version": 4
  }
}