Pith Number

pith:JLSYTBFN

pith:2010:JLSYTBFNCFIFEP3VJDL2OVTDWW

not attested not anchored not stored refs pending

{\Gamma}-Abel-Grassmann's groupoids characterized by their intuitionistic {\Gamma}-ideals

Faisal, Madad Khan, Venus Amjid

arxiv:1011.2845 v1 · 2010-11-12 · 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{JLSYTBFNCFIFEP3VJDL2OVTDWW}

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	2026-05-18T04:36:08.057445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ae58984ad1150523f7548d7a75663b5bc62ddbe2626fbd4a59ef8b9593cdb4d

Aliases

arxiv: 1011.2845 · arxiv_version: 1011.2845v1 · doi: 10.48550/arxiv.1011.2845 · pith_short_12: JLSYTBFNCFIF · pith_short_16: JLSYTBFNCFIFEP3V · pith_short_8: JLSYTBFN

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/JLSYTBFNCFIFEP3VJDL2OVTDWW \
  | 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: 4ae58984ad1150523f7548d7a75663b5bc62ddbe2626fbd4a59ef8b9593cdb4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99dd5829cea856eaedad9be0963d2c00dabc95af6fe9eb355e8a4b12b42413ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-11-12T08:52:55Z",
    "title_canon_sha256": "71ead285f22ba331b770f617b30d82c0f4cb1b45ef1578cb6ea1adf6cd65e639"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2845",
    "kind": "arxiv",
    "version": 1
  }
}