Pith Number

pith:KY46KWC5

pith:2014:KY46KWC54HQSEJ4YNH3UK5FCOH

not attested not anchored not stored refs pending

An Engel condition for orderable groups

A. Tortora, M. Tota, P. Shumyatsky

arxiv:1402.5247 v1 · 2014-02-21 · 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{KY46KWC54HQSEJ4YNH3UK5FCOH}

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	2026-05-18T02:58:22.735171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5639e5585de1e122279869f74574a271e4389f43beabc6ea028e1ee94df411b8

Aliases

arxiv: 1402.5247 · arxiv_version: 1402.5247v1 · doi: 10.48550/arxiv.1402.5247 · pith_short_12: KY46KWC54HQS · pith_short_16: KY46KWC54HQSEJ4Y · pith_short_8: KY46KWC5

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/KY46KWC54HQSEJ4YNH3UK5FCOH \
  | 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: 5639e5585de1e122279869f74574a271e4389f43beabc6ea028e1ee94df411b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eba4e42b836bc601b1dfe5910fcebedba6e0579087b4d51290d81e098246f246",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-02-21T10:57:42Z",
    "title_canon_sha256": "2420b9ee0fdfe1298d78a2ff1274103e4dd552936432170ea29d8d386d4ed6ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.5247",
    "kind": "arxiv",
    "version": 1
  }
}