Pith Number

pith:SWIVIU64

pith:2014:SWIVIU64RP7NYVR75J3D5QOQJO

not attested not anchored not stored refs pending

The operator algebra generated by the translation, dilation and multiplication semigroups

Eleftherios Kastis, Stephen Power

arxiv:1410.8340 v3 · 2014-10-30 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SWIVIU64RP7NYVR75J3D5QOQJO}

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	2026-05-18T02:25:33.881225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95915453dc8bfedc563fea763ec1d04b9878dadbd6d825fe24754347d355e655

Aliases

arxiv: 1410.8340 · arxiv_version: 1410.8340v3 · doi: 10.48550/arxiv.1410.8340 · pith_short_12: SWIVIU64RP7N · pith_short_16: SWIVIU64RP7NYVR7 · pith_short_8: SWIVIU64

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/SWIVIU64RP7NYVR75J3D5QOQJO \
  | 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: 95915453dc8bfedc563fea763ec1d04b9878dadbd6d825fe24754347d355e655

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a67aa5146ff7e6121fef9d19aa2cca1c7bb78778b8e47e894e95febe0267026",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-10-30T12:00:13Z",
    "title_canon_sha256": "1fee4433effcb272d6faa3d707da2899472c1ada35873d06631820305a2469fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.8340",
    "kind": "arxiv",
    "version": 3
  }
}