Pith Number

pith:FZ6HBDZ5

pith:2010:FZ6HBDZ5P5O3FBPYNVEJLZL2FU

not attested not anchored not stored refs pending

Intra regular Abel-Grassmann's groupoids characterized by their intuitionistic fuzzy ideals

Faisal, Madad Khan

arxiv:1010.4704 v1 · 2010-10-22 · 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{FZ6HBDZ5P5O3FBPYNVEJLZL2FU}

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	2026-05-18T04:38:57.533060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e7c708f3d7f5db285f86d4895e57a2d1f89238740e9dcb5601310254c366784

Aliases

arxiv: 1010.4704 · arxiv_version: 1010.4704v1 · doi: 10.48550/arxiv.1010.4704 · pith_short_12: FZ6HBDZ5P5O3 · pith_short_16: FZ6HBDZ5P5O3FBPY · pith_short_8: FZ6HBDZ5

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/FZ6HBDZ5P5O3FBPYNVEJLZL2FU \
  | 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: 2e7c708f3d7f5db285f86d4895e57a2d1f89238740e9dcb5601310254c366784

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3a3bde19580900e669ae4a1fda7d89f6f471a46d5ccebbdb0a9553e1f4dba5e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-10-22T13:14:48Z",
    "title_canon_sha256": "5196faba9c435df3a37b60f33ab67b93f0bbf0c4e96ea9a7c1daca0394017acc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4704",
    "kind": "arxiv",
    "version": 1
  }
}