Pith Number

pith:VETXYVD7

pith:2017:VETXYVD72YHNH6APMOOR4CO3BD

not attested not anchored not stored refs pending

Number of Sylow subgroups in finite groups

Evgeny Vdovin, Wenbin Guo

arxiv:1709.00148 v1 · 2017-09-01 · 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{VETXYVD72YHNH6APMOOR4CO3BD}

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	2026-05-18T00:36:13.262904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9277c547fd60ed3f80f639d1e09db08f2d88dc8cf94ee888920754c1f8a2363

Aliases

arxiv: 1709.00148 · arxiv_version: 1709.00148v1 · doi: 10.48550/arxiv.1709.00148 · pith_short_12: VETXYVD72YHN · pith_short_16: VETXYVD72YHNH6AP · pith_short_8: VETXYVD7

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/VETXYVD72YHNH6APMOOR4CO3BD \
  | 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: a9277c547fd60ed3f80f639d1e09db08f2d88dc8cf94ee888920754c1f8a2363

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04e80ee3e66caaf4722b923cbe4470a2984a4497d030fb93b112a6ebdbcdcb55",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-09-01T04:09:05Z",
    "title_canon_sha256": "b540daf3e4f29f57de77e04b41b3f44679c6f883506926fcef1aa9055d54d8d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.00148",
    "kind": "arxiv",
    "version": 1
  }
}