Pith Number

pith:NOJTDFBP

pith:2010:NOJTDFBPVPJY5T4WAGOU4GQULR

not attested not anchored not stored refs pending

Characterizations of right modular groupoids by $(\in, \in \vee q_{k})$-fuzzy ideals

Madad Khan, Shamas-ur-Rehman

arxiv:1010.3510 v1 · 2010-10-18 · 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{NOJTDFBPVPJY5T4WAGOU4GQULR}

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	2026-05-18T04:39:08.951254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b9331942fabd38ecf96019d4e1a145c61b038cba9a33865771a907ea9008386

Aliases

arxiv: 1010.3510 · arxiv_version: 1010.3510v1 · doi: 10.48550/arxiv.1010.3510 · pith_short_12: NOJTDFBPVPJY · pith_short_16: NOJTDFBPVPJY5T4W · pith_short_8: NOJTDFBP

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/NOJTDFBPVPJY5T4WAGOU4GQULR \
  | 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: 6b9331942fabd38ecf96019d4e1a145c61b038cba9a33865771a907ea9008386

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0415d9127fd76a5e1a1972cbac3529205482bd2f4c3caf6fa64b8479f3f9665e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-10-18T07:59:19Z",
    "title_canon_sha256": "7c02a3e0f94c38ea182fbeee994d8b253b41549f434ee147a010c172bc6f31ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3510",
    "kind": "arxiv",
    "version": 1
  }
}