Pith Number

pith:QZNVEJ4D

pith:1999:QZNVEJ4DSSMNRHZ7CHTSICDDXZ

not attested not anchored not stored refs pending

Weight theory for C*-algebraic quantum groups

Johan Kustermans, Stefaan Vaes

arxiv:math/9901063 v1 · 1999-01-15 · 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{QZNVEJ4DSSMNRHZ7CHTSICDDXZ}

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.

Cited by

1 paper in Pith

The reduced Hao-Ng isomorphism problem for non-degenerate product systems

Receipt and verification

First computed	2026-07-04T14:40:55.858350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

865b5227839498d89f3f11e7240863be7f3776cbb6bbda5917e526874d0c9dc1

Aliases

arxiv: math/9901063 · arxiv_version: math/9901063v1 · doi: 10.48550/arxiv.math/9901063 · pith_short_12: QZNVEJ4DSSMN · pith_short_16: QZNVEJ4DSSMNRHZ7 · pith_short_8: QZNVEJ4D

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/QZNVEJ4DSSMNRHZ7CHTSICDDXZ \
  | 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: 865b5227839498d89f3f11e7240863be7f3776cbb6bbda5917e526874d0c9dc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "362fddeb04cdfcf754b3e3747c95a7c58f13454285b434a68a296c68db3b9ab6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "1999-01-15T15:49:34Z",
    "title_canon_sha256": "484955eb279ba886a7ede459bae5d03da878fead4d2af273bb10a180b80d1f51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9901063",
    "kind": "arxiv",
    "version": 1
  }
}