Pith Number

pith:M6Y2ZJCG

pith:2013:M6Y2ZJCGMML52OPTEQZZ4IYRSH

not attested not anchored not stored refs pending

Haagerup property for quantum reflection groups

Fran\c{c}ois Lemeux

arxiv:1303.2151 v2 · 2013-03-09 · 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{M6Y2ZJCGMML52OPTEQZZ4IYRSH}

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	2026-05-18T03:14:08.493482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67b1aca4466317dd39f324339e231191dabd9949a329ed01d82b93e6c66bd2e3

Aliases

arxiv: 1303.2151 · arxiv_version: 1303.2151v2 · doi: 10.48550/arxiv.1303.2151 · pith_short_12: M6Y2ZJCGMML5 · pith_short_16: M6Y2ZJCGMML52OPT · pith_short_8: M6Y2ZJCG

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/M6Y2ZJCGMML52OPTEQZZ4IYRSH \
  | 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: 67b1aca4466317dd39f324339e231191dabd9949a329ed01d82b93e6c66bd2e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6421a66b2167800e0f965961cd97bd823d77963b71edd51556daa935e26965dc",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-03-09T00:19:44Z",
    "title_canon_sha256": "2829012832efc46f8a7442858c086e6bee370403a2b0369e7080ef557c44a2fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2151",
    "kind": "arxiv",
    "version": 2
  }
}