Pith Number

pith:FTG5V5WA

pith:2013:FTG5V5WACQAWA32Q3IFDDAUHKG

not attested not anchored not stored refs pending

Normal Subgroups, Center and Inner Automorphisms of Compact Quantum Groups

Issan Patri

arxiv:1305.1080 v1 · 2013-05-06 · 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{FTG5V5WACQAWA32Q3IFDDAUHKG}

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	2026-05-18T03:26:24.186898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ccddaf6c01401606f50da0a31828751b6a4b71f0ef87fd90cd581d04e74f3be

Aliases

arxiv: 1305.1080 · arxiv_version: 1305.1080v1 · doi: 10.48550/arxiv.1305.1080 · pith_short_12: FTG5V5WACQAW · pith_short_16: FTG5V5WACQAWA32Q · pith_short_8: FTG5V5WA

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/FTG5V5WACQAWA32Q3IFDDAUHKG \
  | 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: 2ccddaf6c01401606f50da0a31828751b6a4b71f0ef87fd90cd581d04e74f3be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ca570712dde3846b38d214e2628f3b06bd9380275674169e41f3d9650ce89ed",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-05-06T03:57:44Z",
    "title_canon_sha256": "09049f33f0d971ed6cc4a043474f81eca02a957be7f296952dd6ba5692ae8222"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1080",
    "kind": "arxiv",
    "version": 1
  }
}