Pith Number

pith:LW4WANSY

pith:2010:LW4WANSYTEYI2IBL274GM2NSAP

not attested not anchored not stored refs pending

Phase Conjugation and Negative Refraction Using Nonlinear Active Metamaterials

Alexander R. Katko, Bogdan-Ioan Popa, Gennady Shvets, John P. Barrett, Shi Gu, Steven A. Cummer

arxiv:1008.1999 v1 · 2010-08-11 · 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{LW4WANSYTEYI2IBL274GM2NSAP}

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	2026-05-18T04:40:46.170700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5db960365899308d202bd7f86669b203cef8eeb5668323dfea95fba5e399348a

Aliases

arxiv: 1008.1999 · arxiv_version: 1008.1999v1 · doi: 10.48550/arxiv.1008.1999 · pith_short_12: LW4WANSYTEYI · pith_short_16: LW4WANSYTEYI2IBL · pith_short_8: LW4WANSY

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/LW4WANSYTEYI2IBL274GM2NSAP \
  | 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: 5db960365899308d202bd7f86669b203cef8eeb5668323dfea95fba5e399348a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28c37f76b44010baba32da568eab6b61cdf9667cf7962bcbacad829fa6b370a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2010-08-11T20:21:57Z",
    "title_canon_sha256": "bc65d78cecb994bf968f33091c92150408d76ef34476cef86b01563153de7ca8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1999",
    "kind": "arxiv",
    "version": 1
  }
}