Pith Number

pith:BD7APAR5

pith:2016:BD7APAR5ZF3E5A4I4UJLJHLRVA

not attested not anchored not stored refs pending

Finite groups whose $n$-maximal subgroups are $\sigma$-subnormal

Alexander N. Skiba, Wenbin Guo

arxiv:1608.03353 v1 · 2016-08-11 · 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{BD7APAR5ZF3E5A4I4UJLJHLRVA}

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	2026-05-18T01:09:29.089949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08fe07823dc9764e8388e512b49d71a81c261caef236f76998ffdce7f4555703

Aliases

arxiv: 1608.03353 · arxiv_version: 1608.03353v1 · doi: 10.48550/arxiv.1608.03353 · pith_short_12: BD7APAR5ZF3E · pith_short_16: BD7APAR5ZF3E5A4I · pith_short_8: BD7APAR5

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/BD7APAR5ZF3E5A4I4UJLJHLRVA \
  | 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: 08fe07823dc9764e8388e512b49d71a81c261caef236f76998ffdce7f4555703

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64cd779a83b23f5ab2dafa5b867768300ab1476cfe09921e11272bcbcb2188f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-08-11T02:57:59Z",
    "title_canon_sha256": "9340557fd1920b652b7564e47fb4aabf14ea1b74266cbae37689d4d0b0fca930"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03353",
    "kind": "arxiv",
    "version": 1
  }
}