Pith Number

pith:XCEFSPZJ

pith:2009:XCEFSPZJ3BIZFCGWUCJN7WAKUB

not attested not anchored not stored refs pending

Minimal non-nilpotent groups which are supersolvable

Francesco G. Russo (Universita' degli Studi di Palermo, Italy), Palermo

arxiv:0912.0667 v3 · 2009-12-03 · 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{XCEFSPZJ3BIZFCGWUCJN7WAKUB}

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	2026-05-18T03:53:17.847048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b888593f29d8519288d6a092dfd80aa055bdf92d8b3339e71a68efe1821baec7

Aliases

arxiv: 0912.0667 · arxiv_version: 0912.0667v3 · doi: 10.48550/arxiv.0912.0667 · pith_short_12: XCEFSPZJ3BIZ · pith_short_16: XCEFSPZJ3BIZFCGW · pith_short_8: XCEFSPZJ

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/XCEFSPZJ3BIZFCGWUCJN7WAKUB \
  | 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: b888593f29d8519288d6a092dfd80aa055bdf92d8b3339e71a68efe1821baec7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fb79130a1219acf1c074694b0337f2bb1cf5fc9f5c41bd15c5c35d260e6d634",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-12-03T14:23:24Z",
    "title_canon_sha256": "dcd12793e8c96fd18a73cb0e1dfb70b55ffd095df346302ff33624125882548a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.0667",
    "kind": "arxiv",
    "version": 3
  }
}