Pith Number

pith:CU3XZONX

pith:2011:CU3XZONXFJFYCZ56KAE5HVCSXB

not attested not anchored not stored refs pending

Transmutation Theory and Quantization Approach for Quantum Groupoids

Tao Yang, Xuan Zhou

arxiv:1111.1397 v3 · 2011-11-06 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CU3XZONXFJFYCZ56KAE5HVCSXB}

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	2026-05-18T02:29:39.468588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15377cb9b72a4b8167be5009d3d452b87b94749c02240b61a26fb840157d2757

Aliases

arxiv: 1111.1397 · arxiv_version: 1111.1397v3 · doi: 10.48550/arxiv.1111.1397 · pith_short_12: CU3XZONXFJFY · pith_short_16: CU3XZONXFJFYCZ56 · pith_short_8: CU3XZONX

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/CU3XZONXFJFYCZ56KAE5HVCSXB \
  | 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: 15377cb9b72a4b8167be5009d3d452b87b94749c02240b61a26fb840157d2757

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "884f2fe6a907dd3d77e688d51d92218a0885fde7f1c1512c33357345e2b8009b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-11-06T10:32:01Z",
    "title_canon_sha256": "6e20eabf4e9bca74db1902d199f276d531dfeb443b0721e47dcd4db128049158"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1397",
    "kind": "arxiv",
    "version": 3
  }
}