Pith Number

pith:FBOOHRNP

pith:2019:FBOOHRNPGTFYA3DYRN2DQ2TYJH

not attested not anchored not stored refs pending

Extensions of semigroups by symmetric inverse semigroups of a bounded finite rank

Oleg Gutik, Oleksandra Sobol

arxiv:1906.08329 v1 · 2019-06-19 · math.GR · math.GN

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FBOOHRNPGTFYA3DYRN2DQ2TYJH}

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	2026-05-17T23:42:52.814177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

285ce3c5af34cb806c788b74386a7849d1f79201f5b80ae0720eaaf59229a3d1

Aliases

arxiv: 1906.08329 · arxiv_version: 1906.08329v1 · doi: 10.48550/arxiv.1906.08329 · pith_short_12: FBOOHRNPGTFY · pith_short_16: FBOOHRNPGTFYA3DY · pith_short_8: FBOOHRNP

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/FBOOHRNPGTFYA3DYRN2DQ2TYJH \
  | 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: 285ce3c5af34cb806c788b74386a7849d1f79201f5b80ae0720eaaf59229a3d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61f5f6b826a90a8a708bd280dc4bde99252a0b0a672d41da31ae53a0f6bc82db",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-06-19T20:00:54Z",
    "title_canon_sha256": "8946f27dcf80d7c0d7fa7a893e96c7501ae942f8c70fe5ac7a244dcdfcb0662b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.08329",
    "kind": "arxiv",
    "version": 1
  }
}