Pith Number

pith:FJ7ULOHB

pith:2024:FJ7ULOHBLH4LHRNJ4XMTUOI42R

not attested not anchored not stored refs pending

High Numerical Aperture and Broadband Achromatic Flat Lens

Haowen Liang, Jianchao Zhang, Jinbei Chen, Jingen Lin, Juntao Li, Xue-Hua Wang

arxiv:2404.17204 v1 · 2024-04-26 · 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{FJ7ULOHBLH4LHRNJ4XMTUOI42R}

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	2026-07-05T08:12:34.551919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a7f45b8e159f8b3c5a9e5d93a391cd47414b7e85adb8c7013d6b5bfdd805fe9

Aliases

arxiv: 2404.17204 · arxiv_version: 2404.17204v1 · doi: 10.48550/arxiv.2404.17204 · pith_short_12: FJ7ULOHBLH4L · pith_short_16: FJ7ULOHBLH4LHRNJ · pith_short_8: FJ7ULOHB

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/FJ7ULOHBLH4LHRNJ4XMTUOI42R \
  | 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: 2a7f45b8e159f8b3c5a9e5d93a391cd47414b7e85adb8c7013d6b5bfdd805fe9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d1f76e15a185836ef66c23e9b841cef6da1878551f7111144fabaaef074fde5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2024-04-26T07:24:54Z",
    "title_canon_sha256": "1c2a11255545d053c3161eb1e22016b4135ca117d7bd33f09cba8ed53db7bb48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.17204",
    "kind": "arxiv",
    "version": 1
  }
}