Pith Number

pith:V4ZKB46A

pith:2013:V4ZKB46A32PS275C2APH2GALM3

not attested not anchored not stored refs pending

Non-commuting graphs of nilpotent groups

Alireza Abdollahi, Hamid Shahverdi

arxiv:1304.4839 v1 · 2013-04-17 · 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{V4ZKB46A32PS275C2APH2GALM3}

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	2026-05-18T03:27:43.530069Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af32a0f3c0de9f2d7fa2d01e7d180b66ece8e2171191b810baa2de382ae10cc9

Aliases

arxiv: 1304.4839 · arxiv_version: 1304.4839v1 · doi: 10.48550/arxiv.1304.4839 · pith_short_12: V4ZKB46A32PS · pith_short_16: V4ZKB46A32PS275C · pith_short_8: V4ZKB46A

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/V4ZKB46A32PS275C2APH2GALM3 \
  | 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: af32a0f3c0de9f2d7fa2d01e7d180b66ece8e2171191b810baa2de382ae10cc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b109edbc4e5d253dcf80591ea6e382baff0725b444aad6f0b1d584a23e3c78d8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-04-17T14:31:39Z",
    "title_canon_sha256": "719570258b112919a0e7802dfd585e95bbc3648ce5c16197207e33b1a10a9e16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4839",
    "kind": "arxiv",
    "version": 1
  }
}