Pith Number

pith:Q43QDC6O

pith:2013:Q43QDC6OIG7UJQONB7NCKL2KM7

not attested not anchored not stored refs pending

On the decomposition into Discrete, type II and type III $C^*$-algebras

Chi-Keung Ng, Ngai-Ching Wong

arxiv:1310.5464 v4 · 2013-10-21 · 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{Q43QDC6OIG7UJQONB7NCKL2KM7}

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	2026-05-18T01:03:44.715544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8737018bce41bf44c1cd0fda252f4a67e1f1c8c9163b909c131a00a3911eb5b3

Aliases

arxiv: 1310.5464 · arxiv_version: 1310.5464v4 · doi: 10.48550/arxiv.1310.5464 · pith_short_12: Q43QDC6OIG7U · pith_short_16: Q43QDC6OIG7UJQON · pith_short_8: Q43QDC6O

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/Q43QDC6OIG7UJQONB7NCKL2KM7 \
  | 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: 8737018bce41bf44c1cd0fda252f4a67e1f1c8c9163b909c131a00a3911eb5b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6937524bca4706d3510621f0e2dd1876896d0963378fdc2dfd10c9522b99198",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-10-21T08:48:19Z",
    "title_canon_sha256": "be7452c9e6c9d3e607ad3aef82986342e4c21dc99f4807276f5428a335db77bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.5464",
    "kind": "arxiv",
    "version": 4
  }
}