Pith Number

pith:E4SCIX7G

pith:2020:E4SCIX7G5WMMQEDCVDCTRSE4HJ

not attested not anchored not stored refs pending

Fundamental limitations of Huygens metasurfaces for optical beam shaping

Carlo Gigli, Giuseppe Leo, Mark Brongersma, Philippe Lalanne, Pierre Chavel, Qitong Li

arxiv:2011.00232 v3 · 2020-10-31 · 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{E4SCIX7G5WMMQEDCVDCTRSE4HJ}

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	2026-07-05T02:49:51.617722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2724245fe6ed98c81062a8c538c89c3a6cfeeb929efc60535caf2395c2d1d3d4

Aliases

arxiv: 2011.00232 · arxiv_version: 2011.00232v3 · doi: 10.48550/arxiv.2011.00232 · pith_short_12: E4SCIX7G5WMM · pith_short_16: E4SCIX7G5WMMQEDC · pith_short_8: E4SCIX7G

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/E4SCIX7G5WMMQEDCVDCTRSE4HJ \
  | 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: 2724245fe6ed98c81062a8c538c89c3a6cfeeb929efc60535caf2395c2d1d3d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "717cec0f128609284e0c272f80911b858552060100138432f9ecdb8cc0678d43",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2020-10-31T10:29:46Z",
    "title_canon_sha256": "a130b37aaaf1f490e3927ada4a66946e06c6a998d053e2bbe6eb6926cb0b1ced"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.00232",
    "kind": "arxiv",
    "version": 3
  }
}