Pith Number

pith:TZW3JHVT

pith:2010:TZW3JHVTYOMZOY3OQB75Q4DWYI

not attested not anchored not stored refs pending

On the semigroup of partial isometries of a finite chain

Abdullahi Umar, Rotimi Kehinde

arxiv:1101.0049 v1 · 2010-12-30 · 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{TZW3JHVTYOMZOY3OQB75Q4DWYI}

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	2026-05-18T04:32:11.135765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e6db49eb3c39997636e807fd87076c22e22bea38e36c8e72d01fb252c15d84a

Aliases

arxiv: 1101.0049 · arxiv_version: 1101.0049v1 · doi: 10.48550/arxiv.1101.0049 · pith_short_12: TZW3JHVTYOMZ · pith_short_16: TZW3JHVTYOMZOY3O · pith_short_8: TZW3JHVT

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/TZW3JHVTYOMZOY3OQB75Q4DWYI \
  | 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: 9e6db49eb3c39997636e807fd87076c22e22bea38e36c8e72d01fb252c15d84a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cde0a47da0128b26253f36428697b4e93824f7f41a5c9a77f959d49ba46d633",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-12-30T07:51:14Z",
    "title_canon_sha256": "1528f766f545d1dbf2305957a72f6d3a6b377f4f7dab9b52418bdc79c59e44c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0049",
    "kind": "arxiv",
    "version": 1
  }
}