Pith Number

pith:ZR5O24PO

pith:2018:ZR5O24PORKLQBDCTVOSRBGHRQA

not attested not anchored not stored refs pending

Criteria for nilpotency of groups via partitons

L.J. Taghvasani, M. Zarrin

arxiv:1804.06684 v1 · 2018-04-18 · 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{ZR5O24PORKLQBDCTVOSRBGHRQA}

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	2026-05-18T00:18:06.016026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc7aed71ee8a97008c53aba51098f1803b8e30e8d9e09bf96220e27f9b1b2134

Aliases

arxiv: 1804.06684 · arxiv_version: 1804.06684v1 · doi: 10.48550/arxiv.1804.06684 · pith_short_12: ZR5O24PORKLQ · pith_short_16: ZR5O24PORKLQBDCT · pith_short_8: ZR5O24PO

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/ZR5O24PORKLQBDCTVOSRBGHRQA \
  | 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: cc7aed71ee8a97008c53aba51098f1803b8e30e8d9e09bf96220e27f9b1b2134

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ffeb6f2691904a3970f4d0f83e43ec65c98209ea47a29563e3b49b407dcca44",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-04-18T12:33:33Z",
    "title_canon_sha256": "3cd90efb48746bba26aff315681af19b3802c7bb295d3de9cc8817047f59607b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.06684",
    "kind": "arxiv",
    "version": 1
  }
}