Pith Number

pith:F66WGZ6X

pith:2010:F66WGZ6XAUJHA7WQV4I3MIS3CL

not attested not anchored not stored refs pending

Integral Transforms Connecting the Hardy space with Barut-Girardello Spaces

Zouhair Mouayn

arxiv:1003.3145 v2 · 2010-03-16 · 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{F66WGZ6XAUJHA7WQV4I3MIS3CL}

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	2026-05-18T04:25:50.518240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fbd6367d70512707ed0af11b6225b12f8bd47f7466e93bbfa3e4b0ff8653745

Aliases

arxiv: 1003.3145 · arxiv_version: 1003.3145v2 · doi: 10.48550/arxiv.1003.3145 · pith_short_12: F66WGZ6XAUJH · pith_short_16: F66WGZ6XAUJHA7WQ · pith_short_8: F66WGZ6X

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/F66WGZ6XAUJHA7WQV4I3MIS3CL \
  | 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: 2fbd6367d70512707ed0af11b6225b12f8bd47f7466e93bbfa3e4b0ff8653745

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f142d6cd96e960e1636b7ca0d3183cad094dc64c786695be342465315949a7dd",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-03-16T13:24:46Z",
    "title_canon_sha256": "2639fe67fd5850941711a67da88ba0402323ca733cffc4c3b28ea00f6f93e102"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.3145",
    "kind": "arxiv",
    "version": 2
  }
}