Pith Number

pith:TPUHSUUX

pith:2018:TPUHSUUXATMBMQO3YGYC5QR3OV

not attested not anchored not stored refs pending

Regularity and Green's relations for the semigroup of partial contractions of a finite chain

A. Umar, B. Ali, M. M. Zubairu

arxiv:1803.02146 v1 · 2018-03-06 · 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{TPUHSUUXATMBMQO3YGYC5QR3OV}

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	2026-05-18T00:21:55.651004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9be879529704d81641dbc1b02ec23b7563bfdc87a28c0c4ca50addadefb07feb

Aliases

arxiv: 1803.02146 · arxiv_version: 1803.02146v1 · doi: 10.48550/arxiv.1803.02146 · pith_short_12: TPUHSUUXATMB · pith_short_16: TPUHSUUXATMBMQO3 · pith_short_8: TPUHSUUX

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/TPUHSUUXATMBMQO3YGYC5QR3OV \
  | 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: 9be879529704d81641dbc1b02ec23b7563bfdc87a28c0c4ca50addadefb07feb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55bf850632368ab9395766eff8a600c63a2740bcf3dc8f27e6f63727118f65ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-03-06T12:48:46Z",
    "title_canon_sha256": "1bded6918eff0be8a2a88aa306112040ca35819e61a256da4e37a9ae7c1de9b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.02146",
    "kind": "arxiv",
    "version": 1
  }
}