Pith Number

pith:ZSPNPOOY

pith:2014:ZSPNPOOYDTQPI3CNGGTLGXDMF6

not attested not anchored not stored refs pending

Cylindrically polarized Bessel-Gauss beams

Andrea Aiello, Daena Madhi, Marco Ornigotti

arxiv:1410.1359 v2 · 2014-10-06 · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZSPNPOOYDTQPI3CNGGTLGXDMF6}

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	2026-05-18T01:41:52.258754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc9ed7b9d81ce0f46c4d31a6b35c6c2fa29a5c51a040c34f08835e4406a3952b

Aliases

arxiv: 1410.1359 · arxiv_version: 1410.1359v2 · doi: 10.48550/arxiv.1410.1359 · pith_short_12: ZSPNPOOYDTQP · pith_short_16: ZSPNPOOYDTQPI3CN · pith_short_8: ZSPNPOOY

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/ZSPNPOOYDTQPI3CNGGTLGXDMF6 \
  | 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: cc9ed7b9d81ce0f46c4d31a6b35c6c2fa29a5c51a040c34f08835e4406a3952b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f8d6e031f36271eb98e2c3528bebfd621c9c0bd6e830deadb53a3d07af76c1a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2014-10-06T12:56:14Z",
    "title_canon_sha256": "be48d9a40b1f581d9b6c76100861272380beb9e40d0829ba045a7ed58e3f3e63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.1359",
    "kind": "arxiv",
    "version": 2
  }
}