Pith Number

pith:IN3GPNL3

pith:2015:IN3GPNL3CQZ4QOGT5PTSHU6XTL

not attested not anchored not stored refs pending

Designing large, high-efficiency, high-numerical-aperture, transmissive meta-lenses for visible light

Alan Lenef, Federico Capasso, Francesco Aieta, Steven J. Byrnes

arxiv:1511.04781 v2 · 2015-11-15 · 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{IN3GPNL3CQZ4QOGT5PTSHU6XTL}

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	2026-05-18T01:19:40.484311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

437667b57b1433c838d3ebe723d3d79ae94036b45a9048afb1e9fac5dedd18c3

Aliases

arxiv: 1511.04781 · arxiv_version: 1511.04781v2 · doi: 10.48550/arxiv.1511.04781 · pith_short_12: IN3GPNL3CQZ4 · pith_short_16: IN3GPNL3CQZ4QOGT · pith_short_8: IN3GPNL3

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/IN3GPNL3CQZ4QOGT5PTSHU6XTL \
  | 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: 437667b57b1433c838d3ebe723d3d79ae94036b45a9048afb1e9fac5dedd18c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5485bf5c59295ece70edda6bef056953f563b23b5e14e50cd416379e6176729",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2015-11-15T23:22:06Z",
    "title_canon_sha256": "279ba3b88ea1c5e25708dd14d18a709360ecddec0684cbd35bb6147d962682ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.04781",
    "kind": "arxiv",
    "version": 2
  }
}