Pith Number

pith:NAWTR6PE

pith:2015:NAWTR6PEZPUO2TGMABOJBMLTQQ

not attested not anchored not stored refs pending

Broad Angle Negative Refraction in Lossless all Dielectric Multilayer Asymmetric Anisotropic Metamaterial

Ayed Al Sayem, Mahdy Rahman Chowdhury Mahdy, Md. Saifur Rahman

arxiv:1505.07151 v1 · 2015-05-26 · 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{NAWTR6PEZPUO2TGMABOJBMLTQQ}

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	2026-05-18T01:25:00.140173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

682d38f9e4cbe8ed4ccc005c90b173841d0d189615fdc2c1e1dcd954efc25b7b

Aliases

arxiv: 1505.07151 · arxiv_version: 1505.07151v1 · doi: 10.48550/arxiv.1505.07151 · pith_short_12: NAWTR6PEZPUO · pith_short_16: NAWTR6PEZPUO2TGM · pith_short_8: NAWTR6PE

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/NAWTR6PEZPUO2TGMABOJBMLTQQ \
  | 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: 682d38f9e4cbe8ed4ccc005c90b173841d0d189615fdc2c1e1dcd954efc25b7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fedc4f5afac0f3a107ab47b77cbc82f2b5a8d0bff78d35adcafcbebdbe33f1f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2015-05-26T22:33:06Z",
    "title_canon_sha256": "252c7662ebc7d55e2e0f3604d7b4d0d0de018536820fb4fd4d41e530d711f32c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.07151",
    "kind": "arxiv",
    "version": 1
  }
}