Pith Number

pith:HMLNQERP

pith:2018:HMLNQERPQ6QMW5QDIR4O4XZNQB

not attested not anchored not stored refs pending

An Ultra-high Numerical Aperture Metalens at Visible Wavelengths

Haowen Liang, JianYing Zhou, Juntao Li, Lidan Zhou, Lin Liu, Qian Sun, Qiaoling Lin, Thomas F Krauss, Xiangsheng Xie, Xiangyang Yu, Yin Wang

arxiv:1804.08339 v1 · 2018-04-23 · 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{HMLNQERPQ6QMW5QDIR4O4XZNQB}

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	2026-05-18T00:09:14.504432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b16d8122f87a0cb76034478ee5f2d8050198702c4a0368e633220e4d9c93c82

Aliases

arxiv: 1804.08339 · arxiv_version: 1804.08339v1 · doi: 10.48550/arxiv.1804.08339 · pith_short_12: HMLNQERPQ6QM · pith_short_16: HMLNQERPQ6QMW5QD · pith_short_8: HMLNQERP

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/HMLNQERPQ6QMW5QDIR4O4XZNQB \
  | 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: 3b16d8122f87a0cb76034478ee5f2d8050198702c4a0368e633220e4d9c93c82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7206e2a27673e5739d5775ab7425d090d6b90c641fcaa35664c86f96bb22c1b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2018-04-23T11:20:31Z",
    "title_canon_sha256": "6c568ca5f74b79882f86ce134c8594b60ab8ab859c615e81bc2990fb5919989b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.08339",
    "kind": "arxiv",
    "version": 1
  }
}