Pith Number

pith:K3C6WZZM

pith:2013:K3C6WZZM5WNWRWQSGLD6BKQ4QJ

not attested not anchored not stored refs pending

Intra-regular Abel-Grassmann's groupoids

Madad Khan, Nasir Khan, Wieslaw A. Dudek

arxiv:1305.6886 v1 · 2013-05-25 · 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{K3C6WZZM5WNWRWQSGLD6BKQ4QJ}

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	2026-05-18T02:28:48.265087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56c5eb672ced9b68da1232c7e0aa1c824e53dd7040611c310d6c38bd0a9c6873

Aliases

arxiv: 1305.6886 · arxiv_version: 1305.6886v1 · doi: 10.48550/arxiv.1305.6886 · pith_short_12: K3C6WZZM5WNW · pith_short_16: K3C6WZZM5WNWRWQS · pith_short_8: K3C6WZZM

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/K3C6WZZM5WNWRWQSGLD6BKQ4QJ \
  | 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: 56c5eb672ced9b68da1232c7e0aa1c824e53dd7040611c310d6c38bd0a9c6873

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2ac0a347b7d1d08ed7d0c62fa071cabe1c055aed5e3fb3870f158e5c8d43a2f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-05-25T07:45:29Z",
    "title_canon_sha256": "e5b4064417ac251dd3176920e2c6e016e3f41d7d113090f30fe6f37954b4ada1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6886",
    "kind": "arxiv",
    "version": 1
  }
}