pith. sign in
Pith Number

pith:FGM2WXNQ

pith:2013:FGM2WXNQEJDFNDWDKTYIV7NYXN
not attested not anchored not stored refs pending

Integrated multi vector vortex beam generator

Ebrahim Karimi, Robert W. Boyd, Sebastian A. Schulz, Taras Machula

arxiv:1303.4487 v2 · 2013-03-19 · physics.optics · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{FGM2WXNQEJDFNDWDKTYIV7NYXN}

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 2026-05-18T03:19:34.831621Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2999ab5db02246568ec354f08afdb8bb5082bf61f427e07e0b3394b5fb19c7d6

Aliases

arxiv: 1303.4487 · arxiv_version: 1303.4487v2 · doi: 10.48550/arxiv.1303.4487 · pith_short_12: FGM2WXNQEJDF · pith_short_16: FGM2WXNQEJDFNDWD · pith_short_8: FGM2WXNQ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/FGM2WXNQEJDFNDWDKTYIV7NYXN \
  | 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: 2999ab5db02246568ec354f08afdb8bb5082bf61f427e07e0b3394b5fb19c7d6
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c21092edd11b3b6db6db683f3f6b3a1acb72ed007f249c00ffcd76bfa360cb78",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2013-03-19T05:19:32Z",
    "title_canon_sha256": "f30b9bca511c37a0dec9c239381db9aaf2c0a8275b579301dc746709bdcffaa8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.4487",
    "kind": "arxiv",
    "version": 2
  }
}