Pith Number

pith:ZMU3LBID

pith:2010:ZMU3LBIDC6JKZDHH3B2IFU4PNR

not attested not anchored not stored refs pending

Characterizations of Abel-Grassmann's groupoids by their intuitionistic fuzzy ideals

Faisal, Madad Khan

arxiv:1010.2910 v1 · 2010-10-14 · 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{ZMU3LBIDC6JKZDHH3B2IFU4PNR}

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	2026-05-18T04:39:18.889914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb29b585031792ac8ce7d87482d38f6c6bf8bb8056b0de39204e1f26416d7782

Aliases

arxiv: 1010.2910 · arxiv_version: 1010.2910v1 · doi: 10.48550/arxiv.1010.2910 · pith_short_12: ZMU3LBIDC6JK · pith_short_16: ZMU3LBIDC6JKZDHH · pith_short_8: ZMU3LBID

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/ZMU3LBIDC6JKZDHH3B2IFU4PNR \
  | 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: cb29b585031792ac8ce7d87482d38f6c6bf8bb8056b0de39204e1f26416d7782

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4963a2792ed4722f6d174f4c98065d2539b05c56676fd5f731fdd645240532be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-10-14T13:30:48Z",
    "title_canon_sha256": "f0a2146ba243b67e8e83af1149315487d9a7b3863b5b6b9bdd91614e74974f85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2910",
    "kind": "arxiv",
    "version": 1
  }
}