Pith Number

pith:LJAUL6CV

pith:2016:LJAUL6CV3QZIUMFAXLSMNO53V2

not attested not anchored not stored refs pending

Planar Lenses at Visible Wavelengths

Alexander Y. Zhu, Federico Capasso, Jaewon Oh, Mohammadreza Khorasaninejad, Robert C. Devlin, Wei Ting Chen

arxiv:1605.02248 v1 · 2016-05-07 · 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{LJAUL6CV3QZIUMFAXLSMNO53V2}

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	2026-05-18T01:15:21.558840Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a4145f855dc328a30a0bae4c6bbbbaea995d718a146a36027121c547cea1e3e

Aliases

arxiv: 1605.02248 · arxiv_version: 1605.02248v1 · doi: 10.48550/arxiv.1605.02248 · pith_short_12: LJAUL6CV3QZI · pith_short_16: LJAUL6CV3QZIUMFA · pith_short_8: LJAUL6CV

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/LJAUL6CV3QZIUMFAXLSMNO53V2 \
  | 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: 5a4145f855dc328a30a0bae4c6bbbbaea995d718a146a36027121c547cea1e3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77c5187e8153022aa68309fca708c3c402b5e894eaa802ab88ac7fa7f2de2bec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2016-05-07T21:42:30Z",
    "title_canon_sha256": "bec05a08ff242d87ddbaa4d8474ba72c41ae17b14157f8cd28198e64b3c61b6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.02248",
    "kind": "arxiv",
    "version": 1
  }
}