Pith Number

pith:L2AXUQKJ

pith:2008:L2AXUQKJHTLUBQK24IX53PP7CH

not attested not anchored not stored refs pending

Algebra in superextensions of groups, I: zeros and commutativity

O.Nykyforchyn, T.Banakh, V.Gavrylkiv

arxiv:0802.1853 v1 · 2008-02-13 · math.GN · 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{L2AXUQKJHTLUBQK24IX53PP7CH}

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	2026-05-18T04:11:29.351304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e817a41493cd740c15ae22fddbdff11f87fcffae766ece183c71588b6b99b45

Aliases

arxiv: 0802.1853 · arxiv_version: 0802.1853v1 · doi: 10.48550/arxiv.0802.1853 · pith_short_12: L2AXUQKJHTLU · pith_short_16: L2AXUQKJHTLUBQK2 · pith_short_8: L2AXUQKJ

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/L2AXUQKJHTLUBQK24IX53PP7CH \
  | 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: 5e817a41493cd740c15ae22fddbdff11f87fcffae766ece183c71588b6b99b45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec30babf1a07b5e5a3409723e91d4626cb28c77fde25700d1155f199a4d60d9b",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2008-02-13T15:52:13Z",
    "title_canon_sha256": "a025114171a55fe9c1a68397d41304840f9c676222036abea03730b8ce8c9b6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.1853",
    "kind": "arxiv",
    "version": 1
  }
}