Pith Number

pith:2B3XSQMC

pith:2018:2B3XSQMCNAI2QSMHO4VQKTXNQP

not attested not anchored not stored refs pending

On certain semigroups of partial contractions of a finite chain

A. Umar, M. M. Zubairu

arxiv:1803.02604 v1 · 2018-03-07 · 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{2B3XSQMCNAI2QSMHO4VQKTXNQP}

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	2026-05-18T00:21:49.706337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0777941826811a84987772b054eed83d08847f259ada106b64d61935a5f0ca7

Aliases

arxiv: 1803.02604 · arxiv_version: 1803.02604v1 · doi: 10.48550/arxiv.1803.02604 · pith_short_12: 2B3XSQMCNAI2 · pith_short_16: 2B3XSQMCNAI2QSMH · pith_short_8: 2B3XSQMC

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/2B3XSQMCNAI2QSMHO4VQKTXNQP \
  | 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: d0777941826811a84987772b054eed83d08847f259ada106b64d61935a5f0ca7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c471e57763f52ed3b82bd318febfe9689ef1af2e52b8df6246f504450afba0b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-03-07T11:33:45Z",
    "title_canon_sha256": "f4c9abe3dea37528bb8457ae8da372af578b8bfe9286977887acfaf8bf45a165"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.02604",
    "kind": "arxiv",
    "version": 1
  }
}