Pith Number

pith:AU4IXY3M

pith:2019:AU4IXY3M6I3T4ONV2HEENAYUEF

not attested not anchored not stored refs pending

How Perfect are Perfect Vortex Beams?

Andrew Forbes, Jonathan Pinnell, Valeria Rodriguez-Fajardo

arxiv:1908.04428 v1 · 2019-08-12 · 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{AU4IXY3M6I3T4ONV2HEENAYUEF}

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	2026-07-05T00:31:55.247854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05388be36cf2373e39b5d1c846831421793aca2ab4ce2023bb9995ae60afe499

Aliases

arxiv: 1908.04428 · arxiv_version: 1908.04428v1 · doi: 10.48550/arxiv.1908.04428 · pith_short_12: AU4IXY3M6I3T · pith_short_16: AU4IXY3M6I3T4ONV · pith_short_8: AU4IXY3M

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/AU4IXY3M6I3T4ONV2HEENAYUEF \
  | 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: 05388be36cf2373e39b5d1c846831421793aca2ab4ce2023bb9995ae60afe499

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66c1ef79cdaf2dacafd8f5f08ca683148ca837d11e19e71651a1536b8f2a0c58",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2019-08-12T22:39:25Z",
    "title_canon_sha256": "c5864260c49ba49b3e9c44213aea9fa74bd666510275953983bda158ba001930"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04428",
    "kind": "arxiv",
    "version": 1
  }
}