Pith Number

pith:WXN4HNOE

pith:2008:WXN4HNOERQ6CBEQXORZU4TQQZP

not attested not anchored not stored refs pending

Poisson boundary of the discrete quantum group A_u(F)^

Nikolas Vander Vennet, Stefaan Vaes

arxiv:0812.0804 v1 · 2008-12-03 · math.OA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WXN4HNOERQ6CBEQXORZU4TQQZP}

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	2026-05-17T23:53:20.090167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5dbc3b5c48c3c20921774734e4e10cbc1b1d3016f65e0d63f8bef06f3470b6c

Aliases

arxiv: 0812.0804 · arxiv_version: 0812.0804v1 · doi: 10.48550/arxiv.0812.0804 · pith_short_12: WXN4HNOERQ6C · pith_short_16: WXN4HNOERQ6CBEQX · pith_short_8: WXN4HNOE

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/WXN4HNOERQ6CBEQXORZU4TQQZP \
  | 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: b5dbc3b5c48c3c20921774734e4e10cbc1b1d3016f65e0d63f8bef06f3470b6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f9f334ad140d9af2e3dc6c7d32c0f17e465f40a3710c1ca5fe1a5d0ea02b810",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2008-12-03T20:46:17Z",
    "title_canon_sha256": "a55a814ae9ed1b4cbfb062c12ee61081f7ea4f2a37f265a0524224971e16872a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.0804",
    "kind": "arxiv",
    "version": 1
  }
}