Pith Number

pith:GNOJ4ZMG

pith:2026:GNOJ4ZMGPP5H72XRNOJUVRQOOS

not attested not anchored not stored refs pending

On a divisibility condition related to the sum of element orders of a finite group

Marius T\u{a}rn\u{a}uceanu

arxiv:2608.10036 v1 · 2026-08-10 · 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{GNOJ4ZMGPP5H72XRNOJUVRQOOS}

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	2026-08-12T00:22:38.481119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

335c9e65867bfa7feaf16b934ac60e748a655994dd709e995c97e002d0db32e5

Aliases

arxiv: 2608.10036 · arxiv_version: 2608.10036v1 · doi: 10.48550/arxiv.2608.10036 · pith_short_12: GNOJ4ZMGPP5H · pith_short_16: GNOJ4ZMGPP5H72XR · pith_short_8: GNOJ4ZMG

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/GNOJ4ZMGPP5H72XRNOJUVRQOOS \
  | 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: 335c9e65867bfa7feaf16b934ac60e748a655994dd709e995c97e002d0db32e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9cc72ec45cc1992fd13197b9591478ddfff5bfd3a32e1a31697d7882d2c1eda",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-08-10T08:01:46Z",
    "title_canon_sha256": "156e90e0bd6fddd1314241eaff1a4d07ebddea06983e69b7080c65d354494446"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.10036",
    "kind": "arxiv",
    "version": 1
  }
}