Pith Number

pith:JCSR2LNL

pith:2022:JCSR2LNLTBKE7HR2FXXJ3RE7R3

not attested not anchored not stored refs pending

Solving integral equations in free-space with inverse-designed ultrathin optical metagratings

Albert Polman, Andrea Al\`u, Andrea Cordaro, Brian Edwards, Nader Engheta, Vahid Nikkhah

arxiv:2202.05219 v1 · 2022-02-10 · physics.optics · physics.app-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JCSR2LNLTBKE7HR2FXXJ3RE7R3}

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	2026-07-05T05:33:08.475639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48a51d2dab98544f9e3a2dee9dc49f8edf90dd7f24d209d5f81fce54353119ff

Aliases

arxiv: 2202.05219 · arxiv_version: 2202.05219v1 · doi: 10.48550/arxiv.2202.05219 · pith_short_12: JCSR2LNLTBKE · pith_short_16: JCSR2LNLTBKE7HR2 · pith_short_8: JCSR2LNL

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/JCSR2LNLTBKE7HR2FXXJ3RE7R3 \
  | 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: 48a51d2dab98544f9e3a2dee9dc49f8edf90dd7f24d209d5f81fce54353119ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c24db10d994a6198a346f229845e745fd27a4ef8f11d5546e3d76ee125898fa0",
    "cross_cats_sorted": [
      "physics.app-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2022-02-10T18:23:38Z",
    "title_canon_sha256": "29c7afdff9a4636ea06c6751738204cb4b18d6b7cb893a0d820957577e455b83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.05219",
    "kind": "arxiv",
    "version": 1
  }
}