Pith Number

pith:75YRBZ2X

pith:2013:75YRBZ2X4VV4XGWTJYCR2ETBZ3

not attested not anchored not stored refs pending

Word equations in simple groups and polynomial equations in simple algebras

Alexey Kanel-Belov, Boris Kunyavskii, Eugene Plotkin

arxiv:1304.5052 v1 · 2013-04-18 · math.GR · math.AG · 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{75YRBZ2X4VV4XGWTJYCR2ETBZ3}

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	2026-05-18T03:27:41.947063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff7110e757e56bcb9ad34e051d1261ced404135ac28d6e0da6c5fc7434cc2874

Aliases

arxiv: 1304.5052 · arxiv_version: 1304.5052v1 · doi: 10.48550/arxiv.1304.5052 · pith_short_12: 75YRBZ2X4VV4 · pith_short_16: 75YRBZ2X4VV4XGWT · pith_short_8: 75YRBZ2X

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/75YRBZ2X4VV4XGWTJYCR2ETBZ3 \
  | 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: ff7110e757e56bcb9ad34e051d1261ced404135ac28d6e0da6c5fc7434cc2874

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b5cbd5323f7c256385d155248a9e30049bf9fafa67db087ba11bde175d7346d",
    "cross_cats_sorted": [
      "math.AG",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-04-18T08:43:07Z",
    "title_canon_sha256": "359f57b6f518c287045f1e0e111cfaa86b289f8cab6625a057aac1c78a394483"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5052",
    "kind": "arxiv",
    "version": 1
  }
}