Pith Number

pith:DOBDJIGR

pith:2010:DOBDJIGRW7QFLWX4QVFODRKFDA

not attested not anchored not stored refs pending

On some classes of Abel-Grassmann's groupoids

Faisal, Madad Khan, Venus Amjid

arxiv:1010.5965 v2 · 2010-10-28 · 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{DOBDJIGRW7QFLWX4QVFODRKFDA}

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	2026-05-18T04:38:07.550895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b8234a0d1b7e055dafc854ae1c545182c7711ed0bb7b0e8e72a5b097dc004cc

Aliases

arxiv: 1010.5965 · arxiv_version: 1010.5965v2 · doi: 10.48550/arxiv.1010.5965 · pith_short_12: DOBDJIGRW7QF · pith_short_16: DOBDJIGRW7QFLWX4 · pith_short_8: DOBDJIGR

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/DOBDJIGRW7QFLWX4QVFODRKFDA \
  | 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: 1b8234a0d1b7e055dafc854ae1c545182c7711ed0bb7b0e8e72a5b097dc004cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5184e95d6ca865cd148b840a61e7818681d69e36190644e6e1311b6f7e609c5d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-10-28T13:38:38Z",
    "title_canon_sha256": "7f3a8b3000c06c31d3d56a7c5045638305147846cbc4d28f0b11168c987dfcf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5965",
    "kind": "arxiv",
    "version": 2
  }
}