Pith Number

pith:WOJ3ELWU

pith:2015:WOJ3ELWUA2BMPPQXEJWKNOWJUT

not attested not anchored not stored refs pending

Quantum Uncertainty in the Beam Width of Spatial Optical Modes

Andrea Aiello, Christoph Marquardt, Claude Fabre, Gerd Leuchs, Nicolas Treps, Peter Banzer, Vanessa Chille

arxiv:1506.08588 v1 · 2015-06-29 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WOJ3ELWUA2BMPPQXEJWKNOWJUT}

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	2026-05-18T01:22:57.689728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b393b22ed40682c7be17226ca6bac9a4c316b386051a19d91099c738ec18fabb

Aliases

arxiv: 1506.08588 · arxiv_version: 1506.08588v1 · doi: 10.48550/arxiv.1506.08588 · pith_short_12: WOJ3ELWUA2BM · pith_short_16: WOJ3ELWUA2BMPPQX · pith_short_8: WOJ3ELWU

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/WOJ3ELWUA2BMPPQXEJWKNOWJUT \
  | 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: b393b22ed40682c7be17226ca6bac9a4c316b386051a19d91099c738ec18fabb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cc91a21b52df14d78d1d16e3dcd6b9763453edbb9bd13b492a8b1d53eaeb0b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-06-29T11:39:58Z",
    "title_canon_sha256": "bbeb4650cd863e6a828fb604423463f279187f73a299f41fdfd0a81d80be4b0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.08588",
    "kind": "arxiv",
    "version": 1
  }
}