Pith Number

pith:I6DE5E34

pith:2016:I6DE5E34TXU65BFDOAVSNO6WMZ

not attested not anchored not stored refs pending

On weakly $sigma$-permutable subgroups of finite groups

Chi Zhang, W. Guo, Zhenfeng Wu

arxiv:1608.03224 v1 · 2016-08-10 · 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{I6DE5E34TXU65BFDOAVSNO6WMZ}

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	2026-05-18T01:09:29.985389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47864e937c9de9ee84a3702b26bbd66678130e8dc6c07fa6bd8482cc6ec1d145

Aliases

arxiv: 1608.03224 · arxiv_version: 1608.03224v1 · doi: 10.48550/arxiv.1608.03224 · pith_short_12: I6DE5E34TXU6 · pith_short_16: I6DE5E34TXU65BFD · pith_short_8: I6DE5E34

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/I6DE5E34TXU65BFDOAVSNO6WMZ \
  | 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: 47864e937c9de9ee84a3702b26bbd66678130e8dc6c07fa6bd8482cc6ec1d145

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f615a524f3220a45ae23586b9ac1c876b8cc026534061ae30d41231d7b3f8886",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-08-10T16:11:33Z",
    "title_canon_sha256": "e4173af2243b67267de723bcd03a1479c5eb05eb006ba1a7222c29c633ffe68e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03224",
    "kind": "arxiv",
    "version": 1
  }
}