Pith Number

pith:ZYY2GXLX

pith:2025:ZYY2GXLX6FIRY6PIAC7Q6VFBQL

not attested not anchored not stored refs pending

High Numerical Aperture Achromatic Meta-Devices through Dispersion Compensation

Andrea Alu, Axiang Yu, Jiaran Qi, Yayun Cheng, Yongkang Dong, Yuzhong Wang

arxiv:2504.02535 v1 · 2025-04-03 · physics.app-ph · 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{ZYY2GXLX6FIRY6PIAC7Q6VFBQL}

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	2026-07-05T10:43:58.774846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce31a35d77f1511c79e800bf0f54a182c3e097cc8700de88096d94ca3905a9e2

Aliases

arxiv: 2504.02535 · arxiv_version: 2504.02535v1 · doi: 10.48550/arxiv.2504.02535 · pith_short_12: ZYY2GXLX6FIR · pith_short_16: ZYY2GXLX6FIRY6PI · pith_short_8: ZYY2GXLX

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/ZYY2GXLX6FIRY6PIAC7Q6VFBQL \
  | 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: ce31a35d77f1511c79e800bf0f54a182c3e097cc8700de88096d94ca3905a9e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b378853ab2aa465defcf1ff88a1cfb92672483809dbb8422051dcd9951a11785",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.app-ph",
    "submitted_at": "2025-04-03T12:37:25Z",
    "title_canon_sha256": "07c79c81cae34fb83c3031e744c234332a879044b0566f51b786de476e9ef50a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.02535",
    "kind": "arxiv",
    "version": 1
  }
}