Pith Number

pith:PXL6IQ3H

pith:2011:PXL6IQ3H7DURRKN654XEUIVPBD

not attested not anchored not stored refs pending

On the semigroup of order-decreasing partial isometries of a finite chain

A. Umar, R. Kehinde, S. O. Makanjuola

arxiv:1101.2558 v1 · 2011-01-13 · 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{PXL6IQ3H7DURRKN654XEUIVPBD}

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	2026-05-18T04:31:41.854857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dd7e44367f8e918a9beef2e4a22af08c8361faf807c26b16e3d3c3c1e4222c8

Aliases

arxiv: 1101.2558 · arxiv_version: 1101.2558v1 · doi: 10.48550/arxiv.1101.2558 · pith_short_12: PXL6IQ3H7DUR · pith_short_16: PXL6IQ3H7DURRKN6 · pith_short_8: PXL6IQ3H

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/PXL6IQ3H7DURRKN654XEUIVPBD \
  | 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: 7dd7e44367f8e918a9beef2e4a22af08c8361faf807c26b16e3d3c3c1e4222c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15a02fef7ee7819fd0b56bb536f2c9b049922c3b63a743ea65c589764f06f39c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-01-13T13:28:42Z",
    "title_canon_sha256": "a49e9f9f68256f4c5f5a79ff91ffd2bbe47300f926d4d6abbbe5922fa43e9bd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2558",
    "kind": "arxiv",
    "version": 1
  }
}