Pith Number

pith:DQYWIYRP

pith:2010:DQYWIYRPMXPNMXA36TUW4ZNWXU

not attested not anchored not stored refs pending

Characterizations of gamma-AG^{**}-groupoids by the properties their gamma-ideals

Inayatur Rehman, Madad Khan, Naveed Ahmad

arxiv:1012.1923 v1 · 2010-12-09 · 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{DQYWIYRPMXPNMXA36TUW4ZNWXU}

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	2026-05-18T04:33:49.339044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c3164622f65ded65c1bf4e96e65b6bd1528aeac22bb251112fc2fd128ba9333

Aliases

arxiv: 1012.1923 · arxiv_version: 1012.1923v1 · doi: 10.48550/arxiv.1012.1923 · pith_short_12: DQYWIYRPMXPN · pith_short_16: DQYWIYRPMXPNMXA3 · pith_short_8: DQYWIYRP

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/DQYWIYRPMXPNMXA36TUW4ZNWXU \
  | 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: 1c3164622f65ded65c1bf4e96e65b6bd1528aeac22bb251112fc2fd128ba9333

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79062ebab73a4c90f7c0a59d12aa8463493921876fc57f78aa19501890b0b310",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-12-09T06:00:18Z",
    "title_canon_sha256": "9312af8fa2ac80eea1fbfeadb4097cacd0ee7d4c64f3fa2c085c54d18e799e1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1923",
    "kind": "arxiv",
    "version": 1
  }
}