Pith Number

pith:JIALW4M3

pith:2016:JIALW4M3SH6HTTIBE67BFHIEJX

not attested not anchored not stored refs pending

Finite nilpotent groups coincide with their $2$-closures in all of their faithful permutation representations

Alireza Abdollahi, Majid Arezoomand

arxiv:1611.01634 v1 · 2016-11-05 · 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{JIALW4M3SH6HTTIBE67BFHIEJX}

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	2026-05-18T00:44:19.737542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a00bb719b91fc79cd0127be129d044decaeced2e8b08bdf37bb3a12a5cf6fcf

Aliases

arxiv: 1611.01634 · arxiv_version: 1611.01634v1 · doi: 10.48550/arxiv.1611.01634 · pith_short_12: JIALW4M3SH6H · pith_short_16: JIALW4M3SH6HTTIB · pith_short_8: JIALW4M3

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/JIALW4M3SH6HTTIBE67BFHIEJX \
  | 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: 4a00bb719b91fc79cd0127be129d044decaeced2e8b08bdf37bb3a12a5cf6fcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4917557d9b91e3816dc8dd29fe42ed8ee207684f84ce6191d26747feb9da67ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-11-05T11:29:56Z",
    "title_canon_sha256": "4cbc3c2b6da2abea5dd889bcbc2f7aa17c578b3ac5bceef6f039eae1fbc418fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.01634",
    "kind": "arxiv",
    "version": 1
  }
}