Pith Number

pith:76KWRKYM

pith:2013:76KWRKYM7MJNXCTHFZNGYNW5YV

not attested not anchored not stored refs pending

The Haagerup property for locally compact quantum groups

Adam Skalski, Matthew Daws, Pierre Fima, Stuart White

arxiv:1303.3261 v3 · 2013-03-13 · math.OA · 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{76KWRKYM7MJNXCTHFZNGYNW5YV}

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	2026-05-18T01:20:50.858338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff9568ab0cfb12db8a672e5a6c36ddc57f7ba7d34813919e66569e66f1f7a69b

Aliases

arxiv: 1303.3261 · arxiv_version: 1303.3261v3 · doi: 10.48550/arxiv.1303.3261 · pith_short_12: 76KWRKYM7MJN · pith_short_16: 76KWRKYM7MJNXCTH · pith_short_8: 76KWRKYM

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/76KWRKYM7MJNXCTHFZNGYNW5YV \
  | 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: ff9568ab0cfb12db8a672e5a6c36ddc57f7ba7d34813919e66569e66f1f7a69b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4dbcb05786506f5824cbce6091d6164b872d26b98903e826115f7bf9881f91c3",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-03-13T19:55:48Z",
    "title_canon_sha256": "fae195ad92c941ad6cfa7bccd90b93f4e52aebc87929bc961b1d7d76df6f8c09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.3261",
    "kind": "arxiv",
    "version": 3
  }
}