Pith Number

pith:H7GOAH37

pith:2011:H7GOAH37OCQJW53EY2MATIECXM

not attested not anchored not stored refs pending

Finite Groups with Submultiplicative Spectra

H. Radjavi, L. Grunenfelder, M. Omladi\v{c}, T. Ko\v{s}ir

arxiv:1109.1916 v2 · 2011-09-09 · 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{H7GOAH37OCQJW53EY2MATIECXM}

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	2026-05-18T04:10:47.978875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fcce01f7f70a09b7764c69809a082bb21a110c8355a8220bcfeba99692c9b58

Aliases

arxiv: 1109.1916 · arxiv_version: 1109.1916v2 · doi: 10.48550/arxiv.1109.1916 · pith_short_12: H7GOAH37OCQJ · pith_short_16: H7GOAH37OCQJW53E · pith_short_8: H7GOAH37

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/H7GOAH37OCQJW53EY2MATIECXM \
  | 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: 3fcce01f7f70a09b7764c69809a082bb21a110c8355a8220bcfeba99692c9b58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9ed4c714f5c9d7fb341df8f0b914ffe938e52f774081f2edd7f0856fa6ef86f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-09-09T07:12:28Z",
    "title_canon_sha256": "4ffc34fa2ef37109981c8279d2637e4c47b6879ce225c9cad0a4639e9a5a141f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1916",
    "kind": "arxiv",
    "version": 2
  }
}