Pith Number

pith:H3T54FFI

pith:2013:H3T54FFIICTMWFMVGUZSUSQWCR

not attested not anchored not stored refs pending

The Cayley isomorphism property for groups of order p^3q

G\'abor Somlai

arxiv:1312.7453 v1 · 2013-12-28 · math.GR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H3T54FFIICTMWFMVGUZSUSQWCR}

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	2026-05-18T03:03:43.444716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ee7de14a840a6cb159535332a4a161447d4887c20080b7a3a25a0032eaf82bc

Aliases

arxiv: 1312.7453 · arxiv_version: 1312.7453v1 · doi: 10.48550/arxiv.1312.7453 · pith_short_12: H3T54FFIICTM · pith_short_16: H3T54FFIICTMWFMV · pith_short_8: H3T54FFI

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/H3T54FFIICTMWFMVGUZSUSQWCR \
  | 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: 3ee7de14a840a6cb159535332a4a161447d4887c20080b7a3a25a0032eaf82bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "429408773c5ce80dd9a09c6056b850a7531a648d984924bdcd1b0e6403e5604b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-12-28T17:22:01Z",
    "title_canon_sha256": "41e7f30ddad19ee11c2d300a4383b1df0620e18e2794febc83986b08e7fe7aa5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7453",
    "kind": "arxiv",
    "version": 1
  }
}