Pith Number

pith:YOGED4W5

pith:2012:YOGED4W5XUQOZMH4NI2MVZPALM

not attested not anchored not stored refs pending

On groups admitting a word whose values are Engel

Antonio Tortora, Maria Tota, Pavel Shumyatsky, Raimundo Bastos

arxiv:1208.5623 v1 · 2012-08-28 · 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{YOGED4W5XUQOZMH4NI2MVZPALM}

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	2026-05-18T01:36:48.575814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c38c41f2ddbd20ecb0fc6a34cae5e05b27772aebdae1c2377c6118200d234799

Aliases

arxiv: 1208.5623 · arxiv_version: 1208.5623v1 · doi: 10.48550/arxiv.1208.5623 · pith_short_12: YOGED4W5XUQO · pith_short_16: YOGED4W5XUQOZMH4 · pith_short_8: YOGED4W5

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/YOGED4W5XUQOZMH4NI2MVZPALM \
  | 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: c38c41f2ddbd20ecb0fc6a34cae5e05b27772aebdae1c2377c6118200d234799

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8db7806b022b95dd47142a6256826f46e076d35f8463713d857f2368f520ad81",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-08-28T11:10:34Z",
    "title_canon_sha256": "95d7c0b720394a67e1501f0619745fb16db2b3aef7fc66db7e62d331e3b3fdf7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5623",
    "kind": "arxiv",
    "version": 1
  }
}