Pith Number

pith:UJF7ETMW

pith:2013:UJF7ETMWIYYYFLFQGZF4VWSM65

not attested not anchored not stored refs pending

Finite $p$-groups with a minimal non-abelian subgroup of index $p$ (III)

Haipeng Qu, Lijian An, Mingyao Xu

arxiv:1310.5496 v2 · 2013-10-21 · 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{UJF7ETMWIYYYFLFQGZF4VWSM65}

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	2026-05-18T03:08:46.573567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a24bf24d96463182acb0364bcada4cf744a510f83fea29f93de2670413e52d0d

Aliases

arxiv: 1310.5496 · arxiv_version: 1310.5496v2 · doi: 10.48550/arxiv.1310.5496 · pith_short_12: UJF7ETMWIYYY · pith_short_16: UJF7ETMWIYYYFLFQ · pith_short_8: UJF7ETMW

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/UJF7ETMWIYYYFLFQGZF4VWSM65 \
  | 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: a24bf24d96463182acb0364bcada4cf744a510f83fea29f93de2670413e52d0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7c88dd42820665484103e1fc2aff73cc0e12ee8f33f9b719ab54cb3d2b07447",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-10-21T10:40:01Z",
    "title_canon_sha256": "97366439b07e8250dc58be22562e9587964b85ebe22344bab38bcfcaf62f7bf3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.5496",
    "kind": "arxiv",
    "version": 2
  }
}