Pith Number

pith:WFZFMQ4A

pith:2013:WFZFMQ4ANNGZJROQGA242N5U75

not attested not anchored not stored refs pending

The Large Rank of a Finite Semigroup using Prime Subsets

Jitender Kumar, K. V. Krishna

arxiv:1308.5382 v2 · 2013-08-25 · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WFZFMQ4ANNGZJROQGA242N5U75}

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	2026-05-18T03:02:46.795293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1725643806b4d94c5d03035cd37b4ff4d831d23fb7664728b2ac0ce4f4eb634

Aliases

arxiv: 1308.5382 · arxiv_version: 1308.5382v2 · doi: 10.48550/arxiv.1308.5382 · pith_short_12: WFZFMQ4ANNGZ · pith_short_16: WFZFMQ4ANNGZJROQ · pith_short_8: WFZFMQ4A

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/WFZFMQ4ANNGZJROQGA242N5U75 \
  | 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: b1725643806b4d94c5d03035cd37b4ff4d831d23fb7664728b2ac0ce4f4eb634

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0861c913f514037ef73e9c19d451e9062e13019e8dbb67c6ab7e44e76f147424",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-08-25T07:24:45Z",
    "title_canon_sha256": "b8bffca56bcfc10d54969e1bc63c0c91af44701ce7bdecb7c60566d4577d293b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5382",
    "kind": "arxiv",
    "version": 2
  }
}