Pith Number

pith:PYBA3MNF

pith:2010:PYBA3MNFKPPWIXBWWWYTMJY5QS

not attested not anchored not stored refs pending

Exponential Formulas and Lie Algebra Type Star Products

Dragutin Svrtan, Stjepan Meljanac, Zoran \v{S}koda

arxiv:1006.0478 v5 · 2010-06-02 · math.QA · hep-th · math-ph · 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{PYBA3MNFKPPWIXBWWWYTMJY5QS}

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	2026-05-18T03:59:37.021774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e020db1a553df645c36b5b136271d84928e34ac84d8e8201578a6e886f6cb15

Aliases

arxiv: 1006.0478 · arxiv_version: 1006.0478v5 · doi: 10.48550/arxiv.1006.0478 · pith_short_12: PYBA3MNFKPPW · pith_short_16: PYBA3MNFKPPWIXBW · pith_short_8: PYBA3MNF

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/PYBA3MNFKPPWIXBWWWYTMJY5QS \
  | 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: 7e020db1a553df645c36b5b136271d84928e34ac84d8e8201578a6e886f6cb15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46a7be27b5de5410a9ad942db07c395c2096cb8751e140cdcab5c184675b80c9",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-06-02T19:48:21Z",
    "title_canon_sha256": "71811cc80fcc297d8248207b609b617a5de4763953ad904711ee30e0f381661a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.0478",
    "kind": "arxiv",
    "version": 5
  }
}