Pith Number

pith:F6D3O3AW

pith:2014:F6D3O3AWGARVDCB4IPFOXRMAIZ

not attested not anchored not stored refs pending

On weakly $\frak{F}_{s}$-quasinormal subgroups of finite groups

Wenbin Guo, Xiaoyu Chen, Yuemei Mao

arxiv:1401.1335 v2 · 2014-01-07 · 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{F6D3O3AWGARVDCB4IPFOXRMAIZ}

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	2026-05-18T02:57:26.153147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f87b76c16302351883c43caebc5804670a91d409d09fb5f9221aecbe77ee706

Aliases

arxiv: 1401.1335 · arxiv_version: 1401.1335v2 · doi: 10.48550/arxiv.1401.1335 · pith_short_12: F6D3O3AWGARV · pith_short_16: F6D3O3AWGARVDCB4 · pith_short_8: F6D3O3AW

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/F6D3O3AWGARVDCB4IPFOXRMAIZ \
  | 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: 2f87b76c16302351883c43caebc5804670a91d409d09fb5f9221aecbe77ee706

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a948299fca23ec78950b4629b97a139dfc06c58f6ae61e2324b0572c7e62a45b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-01-07T10:45:54Z",
    "title_canon_sha256": "680be86f0b3a243d6b5f1fd403f5195c1fc3c94b41e1c4eeb61d728ee762fbbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.1335",
    "kind": "arxiv",
    "version": 2
  }
}