Pith Number

pith:QKWUZMA4

pith:2016:QKWUZMA4566CQGRAHTWRB4JGNJ

not attested not anchored not stored refs pending

Metalenses at visible wavelengths: past, present, perspectives

Philippe Lalanne, Pierre Chavel

arxiv:1610.02507 v3 · 2016-10-08 · 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{QKWUZMA4566CQGRAHTWRB4JGNJ}

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	2026-05-18T00:42:35.053641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82ad4cb01cefbc281a203ced10f1266a5dcf68276fa56c4c37404a1526a38c26

Aliases

arxiv: 1610.02507 · arxiv_version: 1610.02507v3 · doi: 10.48550/arxiv.1610.02507 · pith_short_12: QKWUZMA4566C · pith_short_16: QKWUZMA4566CQGRA · pith_short_8: QKWUZMA4

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/QKWUZMA4566CQGRAHTWRB4JGNJ \
  | 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: 82ad4cb01cefbc281a203ced10f1266a5dcf68276fa56c4c37404a1526a38c26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc0e972e0e149e66f8e373267207461e4cdb6dcb069945e4338e36e0b0a95902",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2016-10-08T10:07:20Z",
    "title_canon_sha256": "ca1ecf6f45f12ffe6c0425439aea63ceb2eca8e70b2e752895001598406acacb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.02507",
    "kind": "arxiv",
    "version": 3
  }
}