Pith Number

pith:E2TSAYTH

pith:2011:E2TSAYTHYPJSWTJMGDXOD62KUJ

not attested not anchored not stored refs pending

AG-groups and other classes of right Bol quasigroups

Asif Ali, Muhammad Shah, Sergey Shpectorov

arxiv:1106.2981 v2 · 2011-06-15 · 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{E2TSAYTHYPJSWTJMGDXOD62KUJ}

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	2026-05-18T04:19:40.863557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26a7206267c3d32b4d2c30eee1fb4aa269e2e363f51ff093fca3d0a4a470c826

Aliases

arxiv: 1106.2981 · arxiv_version: 1106.2981v2 · doi: 10.48550/arxiv.1106.2981 · pith_short_12: E2TSAYTHYPJS · pith_short_16: E2TSAYTHYPJSWTJM · pith_short_8: E2TSAYTH

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/E2TSAYTHYPJSWTJMGDXOD62KUJ \
  | 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: 26a7206267c3d32b4d2c30eee1fb4aa269e2e363f51ff093fca3d0a4a470c826

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d0fb9282f3d6ca1f47239a02a092da2439b5eec08e916740acce4001b7291f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-06-15T14:23:23Z",
    "title_canon_sha256": "3aa10f0fec3ec97b1b989573618b5a7d652ae375b99366205ca8a2ed957f57ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.2981",
    "kind": "arxiv",
    "version": 2
  }
}