Pith Number

pith:ZZ32OUNU

pith:2013:ZZ32OUNUE74Y3FWYEAMEFVHY4U

not attested not anchored not stored refs pending

Non-formal deformation quantization and star-exponential of the Poincare Group

Axel de Goursac, Florian Spinnler, Pierre Bieliavsky

arxiv:1311.2339 v1 · 2013-11-11 · math.QA · math-ph · math.DG · math.FA · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZZ32OUNUE74Y3FWYEAMEFVHY4U}

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	2026-05-18T03:07:32.912772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce77a751b427f98d96d8201842d4f8e51b09c3bc6eec8de2aaacdee36d847efe

Aliases

arxiv: 1311.2339 · arxiv_version: 1311.2339v1 · doi: 10.48550/arxiv.1311.2339 · pith_short_12: ZZ32OUNUE74Y · pith_short_16: ZZ32OUNUE74Y3FWY · pith_short_8: ZZ32OUNU

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/ZZ32OUNUE74Y3FWYEAMEFVHY4U \
  | 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: ce77a751b427f98d96d8201842d4f8e51b09c3bc6eec8de2aaacdee36d847efe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5cf2d066e560dd2abcfef2e86858fbb080ee0706641850f691a5695ec7f7646",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2013-11-11T02:49:25Z",
    "title_canon_sha256": "357addd71619c32c95d04a2d0abbf4ebbd9c83d23549639d6b5b18ed67c044ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2339",
    "kind": "arxiv",
    "version": 1
  }
}