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Pith Number

pith:S3UWJ2ZZ

pith:2017:S3UWJ2ZZKYF736LHCOK53FB434
not attested not anchored not stored refs pending

Double-negative electromagnetic metamaterials due to chirality

Habib Ammari, Sanghyeon Yu, Wei Wu

arxiv:1712.02863 v1 · 2017-12-07 · math.AP · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{S3UWJ2ZZKYF736LHCOK53FB434}

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 2026-05-18T00:28:29.045763Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

96e964eb39560bfdf9671395dd943cdf08236b1e30ed5535d986373a8487c58b

Aliases

arxiv: 1712.02863 · arxiv_version: 1712.02863v1 · doi: 10.48550/arxiv.1712.02863 · pith_short_12: S3UWJ2ZZKYF7 · pith_short_16: S3UWJ2ZZKYF736LH · pith_short_8: S3UWJ2ZZ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/S3UWJ2ZZKYF736LHCOK53FB434 \
  | 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: 96e964eb39560bfdf9671395dd943cdf08236b1e30ed5535d986373a8487c58b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0d3595af7907e638294fe1e05c72967b5801098148de7a6c581df24ce4e700f2",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-12-07T21:20:30Z",
    "title_canon_sha256": "e45c61777e8a864e79aae2d511faff8e3c7fc760e3ceaaa8a0ac72320d9ac0aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.02863",
    "kind": "arxiv",
    "version": 1
  }
}