Pith Number

pith:G3QZJNAM

pith:2010:G3QZJNAMBOTDLQFFKZLCVGEI7X

not attested not anchored not stored refs pending

Generation of optical beams with desirable orbital angular momenta by transformation media

Dianyuan Fan, Dongmo Song, Hailu Luo, Shuangchun Wen, Weixing Shu, Xiaofang L\"u, Yougang Ke, Zhixiang Tang

arxiv:1006.2932 v6 · 2010-06-15 · 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{G3QZJNAMBOTDLQFFKZLCVGEI7X}

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	2026-05-18T03:51:47.445351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36e194b40c0ba635c0a556562a9888fddca6fd4dc6499afdf58897c6e642dd5c

Aliases

arxiv: 1006.2932 · arxiv_version: 1006.2932v6 · doi: 10.48550/arxiv.1006.2932 · pith_short_12: G3QZJNAMBOTD · pith_short_16: G3QZJNAMBOTDLQFF · pith_short_8: G3QZJNAM

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/G3QZJNAMBOTDLQFFKZLCVGEI7X \
  | 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: 36e194b40c0ba635c0a556562a9888fddca6fd4dc6499afdf58897c6e642dd5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c90d107760363d657038688a0a8c8239a93020872cf234ff5f1895ea3a410de0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2010-06-15T09:16:25Z",
    "title_canon_sha256": "d7a5778fad6bb8237a8c887c4887e7a7a455839fc671070ac202c0b9ea7ef72d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.2932",
    "kind": "arxiv",
    "version": 6
  }
}