Pith Number

pith:2GRNPZQL

pith:2011:2GRNPZQLOLW5AKVVJOFKZC2WL5

not attested not anchored not stored refs pending

From Quantum Groups to Groups

Matthias Neufang, Mehrdad Kalantar

arxiv:1110.5129 v1 · 2011-10-24 · 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{2GRNPZQLOLW5AKVVJOFKZC2WL5}

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	2026-05-18T04:10:24.632551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1a2d7e60b72edd02ab54b8aac8b565f5e7c345a7aa8df686a8d119fa867b217

Aliases

arxiv: 1110.5129 · arxiv_version: 1110.5129v1 · doi: 10.48550/arxiv.1110.5129 · pith_short_12: 2GRNPZQLOLW5 · pith_short_16: 2GRNPZQLOLW5AKVV · pith_short_8: 2GRNPZQL

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/2GRNPZQLOLW5AKVVJOFKZC2WL5 \
  | 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: d1a2d7e60b72edd02ab54b8aac8b565f5e7c345a7aa8df686a8d119fa867b217

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2885cfff7b849eca823923b344037ce1cc0e56dc71a5eec097da47b86904e46",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-10-24T03:50:08Z",
    "title_canon_sha256": "32034b661bf3f3fda9f01dd95c452d68f2967c74a1229b7958e32063f71fd351"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5129",
    "kind": "arxiv",
    "version": 1
  }
}