Pith Number

pith:A4QSU3MP

pith:2022:A4QSU3MP34GCOKNSIF35YALPDI

not attested not anchored not stored refs pending

Finite quantum hypergroups

Alfons Van Daele, Magnus B. Landstad

arxiv:2209.13282 v1 · 2022-09-27 · math.QA · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A4QSU3MP34GCOKNSIF35YALPDI}

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

Renormalization flows for 1D mixed states and a quantum Goursat lemma

Receipt and verification

First computed	2026-07-05T05:01:08.782791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07212a6d8fdf0c2729b24177dc016f1a3fe35d51d33f932d46ef651d39be9c2c

Aliases

arxiv: 2209.13282 · arxiv_version: 2209.13282v1 · doi: 10.48550/arxiv.2209.13282 · pith_short_12: A4QSU3MP34GC · pith_short_16: A4QSU3MP34GCOKNS · pith_short_8: A4QSU3MP

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/A4QSU3MP34GCOKNSIF35YALPDI \
  | 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: 07212a6d8fdf0c2729b24177dc016f1a3fe35d51d33f932d46ef651d39be9c2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b8ae2dabf028af4cf33d5f4f152d516c74705289e508ff49e2500e705bd32ae",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2022-09-27T09:58:30Z",
    "title_canon_sha256": "248e3a92923e9fe6cbac1311fac25f041a5d077c8ca931252c88a07a08ff72a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.13282",
    "kind": "arxiv",
    "version": 1
  }
}