Pith Number

pith:DYZ2I6WN

pith:2012:DYZ2I6WNCA3FE4E7ECPTFXXC65

not attested not anchored not stored refs pending

Generation of J0-Bessel-Gauss Beam by an heterogeneous refractive index map

Ahmed Benslimane, Boon S. Ooi, Damian P. San Roman Alerigi, Mohammad Alsunaidi, Tien K. Ng, Yaping Zhang

arxiv:1208.4522 v1 · 2012-08-22 · physics.optics · 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{DYZ2I6WNCA3FE4E7ECPTFXXC65}

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	2026-05-18T00:59:35.651112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e33a47acd103652709f209f32dee2f777b7612831ae213ff3389a4d97f75b91

Aliases

arxiv: 1208.4522 · arxiv_version: 1208.4522v1 · doi: 10.48550/arxiv.1208.4522 · pith_short_12: DYZ2I6WNCA3F · pith_short_16: DYZ2I6WNCA3FE4E7 · pith_short_8: DYZ2I6WN

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/DYZ2I6WNCA3FE4E7ECPTFXXC65 \
  | 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: 1e33a47acd103652709f209f32dee2f777b7612831ae213ff3389a4d97f75b91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "085de6564023bfbd19d66bb4350aab258a21f72ed58459438dc0343c4ca88046",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2012-08-22T15:11:33Z",
    "title_canon_sha256": "fffc52d8fe07096ea51d5fb152b88fab7ded4d3a4326602ef96d52a97d838436"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4522",
    "kind": "arxiv",
    "version": 1
  }
}