Pith Number

pith:S7V7FEGQ

pith:2015:S7V7FEGQRSU6DJZWDEPQ7QC5HI

not attested not anchored not stored refs pending

Strange divisibility in groups and rings

Anna A. Mkrtchyan, Anton A. Klyachko

arxiv:1506.08967 v5 · 2015-06-30 · math.GR · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S7V7FEGQRSU6DJZWDEPQ7QC5HI}

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	2026-05-18T00:45:20.332650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97ebf290d08ca9e1a736191f0fc05d3a26d26579bee724f1b80c1bc35f8a9128

Aliases

arxiv: 1506.08967 · arxiv_version: 1506.08967v5 · doi: 10.48550/arxiv.1506.08967 · pith_short_12: S7V7FEGQRSU6 · pith_short_16: S7V7FEGQRSU6DJZW · pith_short_8: S7V7FEGQ

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/S7V7FEGQRSU6DJZWDEPQ7QC5HI \
  | 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: 97ebf290d08ca9e1a736191f0fc05d3a26d26579bee724f1b80c1bc35f8a9128

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1842ede2d65a1ec3e6774879991f60f7b63edad5460478f2b63f9900e677be6",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-06-30T07:24:46Z",
    "title_canon_sha256": "7bb25039f8150a1ddd08f4d1ae6fea349d2f559cb447aead843b926d8ce7e7bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.08967",
    "kind": "arxiv",
    "version": 5
  }
}