Pith Number

pith:R2WOUROU

pith:2014:R2WOUROUVKXZPQELW5PCT76VPI

not attested not anchored not stored refs pending

On Modulo AG-groupoids

Amanullah, Imtiaz Ahmad, Muhammad Rashad, Muhammad Shah

arxiv:1403.2564 v1 · 2014-03-11 · 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{R2WOUROUVKXZPQELW5PCT76VPI}

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	2026-05-18T01:12:18.815692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8eacea45d4aaaf97c08bb75e29ffd57a013bb32ff0f904781b29642458ced3bb

Aliases

arxiv: 1403.2564 · arxiv_version: 1403.2564v1 · doi: 10.48550/arxiv.1403.2564 · pith_short_12: R2WOUROUVKXZ · pith_short_16: R2WOUROUVKXZPQEL · pith_short_8: R2WOUROU

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/R2WOUROUVKXZPQELW5PCT76VPI \
  | 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: 8eacea45d4aaaf97c08bb75e29ffd57a013bb32ff0f904781b29642458ced3bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3d4b7be0b7127bfda97e5c42862f9988de5e9891b23be261aef757b3b1d5c1b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-03-11T13:11:17Z",
    "title_canon_sha256": "647c0d1c92714d9af13f2bb864dd94197d3a0f70d60b45d38a7d9966d3d18fb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.2564",
    "kind": "arxiv",
    "version": 1
  }
}