Pith Number

pith:3IYDWDJ7

pith:2010:3IYDWDJ73JH4HZOD5EQNCXD7AR

not attested not anchored not stored refs pending

Non-Commutative Functions and Non-Commutative Free Levy-Hincin Formula

Mihai Popa, Victor Vinnikov

arxiv:1007.1932 v4 · 2010-07-12 · math.OA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3IYDWDJ73JH4HZOD5EQNCXD7AR}

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	2026-05-18T04:07:52.728524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da303b0d3fda4fc3e5c3e920d15c7f04502757eb86bd75bfdeac9acef5b76400

Aliases

arxiv: 1007.1932 · arxiv_version: 1007.1932v4 · doi: 10.48550/arxiv.1007.1932 · pith_short_12: 3IYDWDJ73JH4 · pith_short_16: 3IYDWDJ73JH4HZOD · pith_short_8: 3IYDWDJ7

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/3IYDWDJ73JH4HZOD5EQNCXD7AR \
  | 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: da303b0d3fda4fc3e5c3e920d15c7f04502757eb86bd75bfdeac9acef5b76400

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e8dcf843adab3c63c4ab50fa1c1867fa8dabecc1d14161271ce69c4929dc6eb",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-07-12T16:16:46Z",
    "title_canon_sha256": "0890611e4986e162702ebcaa992bd29104828083a8b91126df673e3353d3f0e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.1932",
    "kind": "arxiv",
    "version": 4
  }
}