Pith Number

pith:O6ZLCCHV

pith:2011:O6ZLCCHVQZVNENIJGV3DLSMNZH

not attested not anchored not stored refs pending

Quantum subgroups of the Haagerup fusion categories

Noah Snyder, Pinhas Grossman

arxiv:1102.2631 v2 · 2011-02-13 · 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{O6ZLCCHVQZVNENIJGV3DLSMNZH}

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	2026-05-18T02:03:11.587713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77b2b108f5866ad23509357635c98dc9e0dffd0b61131224bacc93262dd55e20

Aliases

arxiv: 1102.2631 · arxiv_version: 1102.2631v2 · doi: 10.48550/arxiv.1102.2631 · pith_short_12: O6ZLCCHVQZVN · pith_short_16: O6ZLCCHVQZVNENIJ · pith_short_8: O6ZLCCHV

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/O6ZLCCHVQZVNENIJGV3DLSMNZH \
  | 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: 77b2b108f5866ad23509357635c98dc9e0dffd0b61131224bacc93262dd55e20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8ede5e8d3b5973a805832ca16bcf20b84ca62af4888cca213c613f7c2fb9ac9",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-02-13T19:51:51Z",
    "title_canon_sha256": "7c333c6af139895adf84530362f57befe26cf491cdd124b084f3d5e84ec6fb40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2631",
    "kind": "arxiv",
    "version": 2
  }
}