Pith Number

pith:6ZM3L47N

pith:2011:6ZM3L47NWSPNYIPWTNBR62JTND

not attested not anchored not stored refs pending

The n-ary Adding Machine and Soluble Groups

Josimar da Silva Rocha, Said Najati Sidki

arxiv:1108.3373 v4 · 2011-08-17 · 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{6ZM3L47NWSPNYIPWTNBR62JTND}

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	2026-05-18T03:19:01.862009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f659b5f3edb49edc21f69b431f693368d005529dd10781eb86ff421c836ebb3d

Aliases

arxiv: 1108.3373 · arxiv_version: 1108.3373v4 · doi: 10.48550/arxiv.1108.3373 · pith_short_12: 6ZM3L47NWSPN · pith_short_16: 6ZM3L47NWSPNYIPW · pith_short_8: 6ZM3L47N

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/6ZM3L47NWSPNYIPWTNBR62JTND \
  | 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: f659b5f3edb49edc21f69b431f693368d005529dd10781eb86ff421c836ebb3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62b1c4de1b5ff61af836fd6dc999c3f211dbb58ebaf21f480fc489a7634fdcae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-08-17T00:35:26Z",
    "title_canon_sha256": "d496e8032f0928d1dad6c6aac358ebc0eec1b1ab7d123ed263691b76bf59c150"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3373",
    "kind": "arxiv",
    "version": 4
  }
}