Pith Number

pith:TPEY3DPK

pith:2011:TPEY3DPKVP56L3RINCDB57DZFZ

not attested not anchored not stored refs pending

N-ary Groups

Alexander M. Gal'mak (Department of Mathematics, Belarus), Mogilev, Mogilev State University

arxiv:1111.7191 v1 · 2011-11-28 · math.GR · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TPEY3DPKVP56L3RINCDB57DZFZ}

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	2026-05-18T04:07:18.526869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bc98d8deaabfbe5ee2868861efc792e55452813b22e1fd66587fc3aebcf3233

Aliases

arxiv: 1111.7191 · arxiv_version: 1111.7191v1 · doi: 10.48550/arxiv.1111.7191 · pith_short_12: TPEY3DPKVP56 · pith_short_16: TPEY3DPKVP56L3RI · pith_short_8: TPEY3DPK

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/TPEY3DPKVP56L3RINCDB57DZFZ \
  | 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: 9bc98d8deaabfbe5ee2868861efc792e55452813b22e1fd66587fc3aebcf3233

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50f6e7fb0193a4277409b506906dbe3ce014f688e997e12f79d8baf1fe5eb47a",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-11-28T04:07:34Z",
    "title_canon_sha256": "f3d5d8c29cea57a3a4315f8fecaa899ef0b71878880daac6633d18a2e206679a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.7191",
    "kind": "arxiv",
    "version": 1
  }
}