Pith Number

pith:OKNAZF62

pith:2016:OKNAZF62CRYSZBW3ASFE7C7CBC

not attested not anchored not stored refs pending

Generation of second maximal subgroups and the existence of special primes

Aner Shalev, Martin W. Liebeck, Timothy C. Burness

arxiv:1611.06196 v1 · 2016-11-18 · 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{OKNAZF62CRYSZBW3ASFE7C7CBC}

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	2026-05-18T00:57:42.897109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

729a0c97da14712c86db048a4f8be208963665f59a9a524d50d29e71ab830a56

Aliases

arxiv: 1611.06196 · arxiv_version: 1611.06196v1 · doi: 10.48550/arxiv.1611.06196 · pith_short_12: OKNAZF62CRYS · pith_short_16: OKNAZF62CRYSZBW3 · pith_short_8: OKNAZF62

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/OKNAZF62CRYSZBW3ASFE7C7CBC \
  | 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: 729a0c97da14712c86db048a4f8be208963665f59a9a524d50d29e71ab830a56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f1a7a19d9a53c4d0081e408fe3994fe2587fd833142fc0e1776660b676076bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-11-18T18:51:07Z",
    "title_canon_sha256": "2a4b6abf3431d10befff5e69acf4abc38fc85e41fd2c4564dde2057cecdc1f8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.06196",
    "kind": "arxiv",
    "version": 1
  }
}