Pith Number

pith:XTPHEV4L

pith:2012:XTPHEV4LD66NGGYEZJSMJBVKPA

not attested not anchored not stored refs pending

On Hall subgroups of a finite group

Alexander N. Skiba, Wenbin Guo

arxiv:1205.2496 v1 · 2012-05-11 · 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{XTPHEV4LD66NGGYEZJSMJBVKPA}

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	2026-05-18T03:55:55.331687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcde72578b1fbcd31b04ca64c486aa782dc46337dea2eb682981ae9ec77623d6

Aliases

arxiv: 1205.2496 · arxiv_version: 1205.2496v1 · doi: 10.48550/arxiv.1205.2496 · pith_short_12: XTPHEV4LD66N · pith_short_16: XTPHEV4LD66NGGYE · pith_short_8: XTPHEV4L

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/XTPHEV4LD66NGGYEZJSMJBVKPA \
  | 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: bcde72578b1fbcd31b04ca64c486aa782dc46337dea2eb682981ae9ec77623d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d9549ca08e9179b5e7e769a090256530a9d5f8da8335eda02ab05dd3e376377",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-05-11T12:12:55Z",
    "title_canon_sha256": "c37dafa52fc219516cb3e719fdcdf4690d32643a199ea2041ab0eadb6fe2dbb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2496",
    "kind": "arxiv",
    "version": 1
  }
}