Pith Number

pith:MAVBNHEK

pith:2025:MAVBNHEKL24BMS3Q44KA6DTJUC

not attested not anchored not stored refs pending

Contrary to widespread belief, the Fresnel zone plate outperforms the metalens at high NA

Apratim Majumder, John A. Doughty, Rajesh Menon, Tina H. Hayward Henry I. Smith

arxiv:2502.20481 v1 · 2025-02-27 · 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{MAVBNHEKL24BMS3Q44KA6DTJUC}

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	2026-07-05T10:21:33.725175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

602a169c8a5eb8164b70e7140f0e69a08830495e1362155b8b96f48f8ca9d43e

Aliases

arxiv: 2502.20481 · arxiv_version: 2502.20481v1 · doi: 10.48550/arxiv.2502.20481 · pith_short_12: MAVBNHEKL24B · pith_short_16: MAVBNHEKL24BMS3Q · pith_short_8: MAVBNHEK

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/MAVBNHEKL24BMS3Q44KA6DTJUC \
  | 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: 602a169c8a5eb8164b70e7140f0e69a08830495e1362155b8b96f48f8ca9d43e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40685593c1a73466900216866c628802ee1869258cea47e990c53e7f803df811",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2025-02-27T19:50:08Z",
    "title_canon_sha256": "a46c40101e6c9796baf6ff13129284b65e2b0c0fc0f2cb2f76b118683f27b9f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.20481",
    "kind": "arxiv",
    "version": 1
  }
}