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Pith Number

pith:NVI5HFGT

pith:2013:NVI5HFGTXUEXSO2SZJII2P4XBQ
not attested not anchored not stored refs pending

Free-space communication through turbulence: a comparison of plane-wave and orbital-angular-momentum encodings

Brandon Rodenburg, Mehul Malik, Mohammad Mirhosseini, Robert W. Boyd

arxiv:1304.0709 v1 · 2013-04-02 · physics.optics · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{NVI5HFGTXUEXSO2SZJII2P4XBQ}

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 2026-05-18T03:11:09.309824Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6d51d394d3bd09793b52ca508d3f970c0527aaabbc55fcff320615d8ef325e87

Aliases

arxiv: 1304.0709 · arxiv_version: 1304.0709v1 · doi: 10.48550/arxiv.1304.0709 · pith_short_12: NVI5HFGTXUEX · pith_short_16: NVI5HFGTXUEXSO2S · pith_short_8: NVI5HFGT
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/NVI5HFGTXUEXSO2SZJII2P4XBQ \
  | 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: 6d51d394d3bd09793b52ca508d3f970c0527aaabbc55fcff320615d8ef325e87
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2ee5fab7052bbb200fd43293605515808def425f6d6a99d7a21ac515d78678a4",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2013-04-02T17:39:27Z",
    "title_canon_sha256": "df07d6bfcd6ce19118e8d951e171c43103ae3aab93ad8a72a3b5b95bbfe9a64e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0709",
    "kind": "arxiv",
    "version": 1
  }
}