Pith Number

pith:A6MXUZZV

pith:2017:A6MXUZZVYNLBHGAONKLU5JGQU4

not attested not anchored not stored refs pending

L^2-Betti numbers of rigid C*-tensor categories and discrete quantum groups

David Kyed, Matthias Valvekens, Stefaan Vaes, Sven Raum

arxiv:1701.06447 v4 · 2017-01-23 · math.OA · math.GR · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A6MXUZZVYNLBHGAONKLU5JGQU4}

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	2026-05-18T00:20:56.767922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07997a6735c35613980e6a974ea4d0a710acfa2f1511f6392b9ad200bacc49c9

Aliases

arxiv: 1701.06447 · arxiv_version: 1701.06447v4 · doi: 10.48550/arxiv.1701.06447 · pith_short_12: A6MXUZZVYNLB · pith_short_16: A6MXUZZVYNLBHGAO · pith_short_8: A6MXUZZV

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/A6MXUZZVYNLBHGAONKLU5JGQU4 \
  | 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: 07997a6735c35613980e6a974ea4d0a710acfa2f1511f6392b9ad200bacc49c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "404cab09c62d70713a30bb71ee30effffe17bbeb2387c4975d47423e18a9aca7",
    "cross_cats_sorted": [
      "math.GR",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-01-23T15:23:04Z",
    "title_canon_sha256": "32a955f42023c5512b2877b2717755034abc15377f1efd52ac3fa74c62b3b806"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.06447",
    "kind": "arxiv",
    "version": 4
  }
}