Pith Number

pith:UQD7KM5W

pith:2019:UQD7KM5WF3TPXQ23RIRU4GM4O4

not attested not anchored not stored refs pending

Sums of element orders in groups of odd order

Marcel Herzog, Mercede Maj, Patrizia Longobardi

arxiv:1905.12291 v1 · 2019-05-29 · 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{UQD7KM5WF3TPXQ23RIRU4GM4O4}

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	2026-05-17T23:44:44.733979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a407f533b62ee6fbc35b8a234e199c770d19f31a303425715b831130f5249010

Aliases

arxiv: 1905.12291 · arxiv_version: 1905.12291v1 · doi: 10.48550/arxiv.1905.12291 · pith_short_12: UQD7KM5WF3TP · pith_short_16: UQD7KM5WF3TPXQ23 · pith_short_8: UQD7KM5W

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/UQD7KM5WF3TPXQ23RIRU4GM4O4 \
  | 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: a407f533b62ee6fbc35b8a234e199c770d19f31a303425715b831130f5249010

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b55f70b9e54fd9440b475662bca20c9dd3a4de56df192e0ab64144c377fcfe2a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-05-29T09:42:30Z",
    "title_canon_sha256": "2e75faba8a4e943d2c690c17dcfe1502d709369ab0c1425197674aab1ff6a7ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.12291",
    "kind": "arxiv",
    "version": 1
  }
}