Pith Number

pith:UMUB4J4G

pith:2016:UMUB4J4GIDMZEYIKUR2UGUMHQ4

not attested not anchored not stored refs pending

Centres of blocks of finite groups with trivial intersection Sylow $p$-subgroups

Inga Schwabrow

arxiv:1608.02727 v1 · 2016-08-09 · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UMUB4J4GIDMZEYIKUR2UGUMHQ4}

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	2026-05-18T01:09:33.819127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3281e278640d992610aa475435187873ec962eae58b3922d995045b5143611f

Aliases

arxiv: 1608.02727 · arxiv_version: 1608.02727v1 · doi: 10.48550/arxiv.1608.02727 · pith_short_12: UMUB4J4GIDMZ · pith_short_16: UMUB4J4GIDMZEYIK · pith_short_8: UMUB4J4G

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/UMUB4J4GIDMZEYIKUR2UGUMHQ4 \
  | 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: a3281e278640d992610aa475435187873ec962eae58b3922d995045b5143611f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c7d8583e5ed77a47f45d173e239f7ffcccb33f646d052ce74b1436aed2cc4b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-08-09T08:59:36Z",
    "title_canon_sha256": "d64680cec8a01b81f3fa52258a2a3bf70c89c2e9e0d6938f6b500175584d260c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.02727",
    "kind": "arxiv",
    "version": 1
  }
}