Pith Number

pith:254JCB5Y

pith:2016:254JCB5Y5NCLVA4CLOCFVDJT4D

not attested not anchored not stored refs pending

On the l^2-Betti numbers of universal quantum groups

David Kyed, Sven Raum

arxiv:1610.05474 v3 · 2016-10-18 · 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{254JCB5Y5NCLVA4CLOCFVDJT4D}

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	2026-05-18T00:49:31.955526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7789107b8eb44ba83825b845a8d33e0ec0f37acd22aa866e64b33970514946c

Aliases

arxiv: 1610.05474 · arxiv_version: 1610.05474v3 · doi: 10.48550/arxiv.1610.05474 · pith_short_12: 254JCB5Y5NCL · pith_short_16: 254JCB5Y5NCLVA4C · pith_short_8: 254JCB5Y

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/254JCB5Y5NCLVA4CLOCFVDJT4D \
  | 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: d7789107b8eb44ba83825b845a8d33e0ec0f37acd22aa866e64b33970514946c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17c4413db4e8ca15421dc98cbb460d9d72025c05c2cf1934be62f5b9fac052ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-10-18T08:20:42Z",
    "title_canon_sha256": "ebfff7e5ea3d52464e20cb7764df4936686085ae49bb79085d62471c2d58421e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.05474",
    "kind": "arxiv",
    "version": 3
  }
}