Pith Number

pith:F6N5NMLW

pith:2018:F6N5NMLWQTCLPOCZI4KGTQTJFN

not attested not anchored not stored refs pending

On certain semigroups of full contractions of a finite chain

A. Umar, M. M. Zubairu

arxiv:1804.10057 v1 · 2018-04-25 · 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{F6N5NMLWQTCLPOCZI4KGTQTJFN}

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	2026-05-18T00:17:25.262478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f9bd6b17684c4b7b859471469c2692b5af599019c23b42b929df719af210a3c

Aliases

arxiv: 1804.10057 · arxiv_version: 1804.10057v1 · doi: 10.48550/arxiv.1804.10057 · pith_short_12: F6N5NMLWQTCL · pith_short_16: F6N5NMLWQTCLPOCZ · pith_short_8: F6N5NMLW

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/F6N5NMLWQTCLPOCZI4KGTQTJFN \
  | 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: 2f9bd6b17684c4b7b859471469c2692b5af599019c23b42b929df719af210a3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "258cee9ae11e852b0bcd88db5439e0f3459b50c276454475b442c2847b478a57",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-04-25T06:25:48Z",
    "title_canon_sha256": "724d72f7faa2524dee974a0ae3841a86f7e47f4c48f56a03a5c7e71ca8f557db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.10057",
    "kind": "arxiv",
    "version": 1
  }
}