Pith Number

pith:76XA656B

pith:2016:76XA656BHAXF2QOWLYKY5QPNCL

not attested not anchored not stored refs pending

Tighter spots of light with superposed orbital angular momentum beams

Ebrahim Karimi, Fr\'ed\'eric Bouchard, Gerd Leuchs, Pawe{\l} Wo\'zniak, Peter Banzer, Robert W. Boyd

arxiv:1606.00244 v1 · 2016-06-01 · 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{76XA656BHAXF2QOWLYKY5QPNCL}

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	2026-05-18T01:07:16.232127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffae0f77c1382e5d41d65e158ec1ed12e053c05234a36d3ceb14e85ad53f9a3f

Aliases

arxiv: 1606.00244 · arxiv_version: 1606.00244v1 · doi: 10.48550/arxiv.1606.00244 · pith_short_12: 76XA656BHAXF · pith_short_16: 76XA656BHAXF2QOW · pith_short_8: 76XA656B

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/76XA656BHAXF2QOWLYKY5QPNCL \
  | 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: ffae0f77c1382e5d41d65e158ec1ed12e053c05234a36d3ceb14e85ad53f9a3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbbce8de54982e30cd6adb9c137c70eb59fb33383a85d5d55264ea0a2c4582dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2016-06-01T11:57:49Z",
    "title_canon_sha256": "b9ef8977a6d8caa6a3e5cb103201cb7b7b70b4086e7b3d6502fbfe093fb1c214"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.00244",
    "kind": "arxiv",
    "version": 1
  }
}