Pith Number

pith:7DMWMX66

pith:2018:7DMWMX66HUW4TWQEZCEAFIEYS2

not attested not anchored not stored refs pending

Multiplication operators on non-commutative spaces

Louis Labuschagne, Pierre de Jager

arxiv:1811.00269 v1 · 2018-11-01 · math.OA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7DMWMX66HUW4TWQEZCEAFIEYS2}

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	2026-05-17T23:39:41.590041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8d9665fde3d2dc9da04c88802a09896bb05e6843f4003fea4db6bc8454ccbc2

Aliases

arxiv: 1811.00269 · arxiv_version: 1811.00269v1 · doi: 10.48550/arxiv.1811.00269 · pith_short_12: 7DMWMX66HUW4 · pith_short_16: 7DMWMX66HUW4TWQE · pith_short_8: 7DMWMX66

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/7DMWMX66HUW4TWQEZCEAFIEYS2 \
  | 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: f8d9665fde3d2dc9da04c88802a09896bb05e6843f4003fea4db6bc8454ccbc2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d882ec0bc1bf59b9d3d3e878c1059160c725608690dfd8b93fcec541f7d51ad7",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2018-11-01T07:31:15Z",
    "title_canon_sha256": "6b558bb088ea40fc7438bba371cc757939d729d74aba74b20dd9feaf3956e739"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.00269",
    "kind": "arxiv",
    "version": 1
  }
}