Pith Number

pith:67UFCHHZ

pith:2010:67UFCHHZSPYGXYB67OS5ABZ6JO

not attested not anchored not stored refs pending

Characterizations of intra-regular gamma AG-groupoids by the properties of their gamma ideals

Faisal, Madad Khan, Venus Amjid

arxiv:1011.1364 v1 · 2010-11-05 · 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{67UFCHHZSPYGXYB67OS5ABZ6JO}

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	2026-05-18T04:36:58.596857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7e8511cf993f06be03efba5d0073e4b83726f436b36bbe4ff7b17e09e0df252

Aliases

arxiv: 1011.1364 · arxiv_version: 1011.1364v1 · doi: 10.48550/arxiv.1011.1364 · pith_short_12: 67UFCHHZSPYG · pith_short_16: 67UFCHHZSPYGXYB6 · pith_short_8: 67UFCHHZ

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/67UFCHHZSPYGXYB67OS5ABZ6JO \
  | 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: f7e8511cf993f06be03efba5d0073e4b83726f436b36bbe4ff7b17e09e0df252

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ba12e16098fbf7fd265f7bfbda1bd5ce745389a0f8ce0987b91bc2d7552d0ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-11-05T10:54:48Z",
    "title_canon_sha256": "ade1b2ec69e21a8fe15f31ca7d9b428b04a8665faca6eb5dabfaacf439d0093b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1364",
    "kind": "arxiv",
    "version": 1
  }
}