Pith Number

pith:ZZJKGNN2

pith:2019:ZZJKGNN2J6BSWXI7NOMFXBKRPZ

not attested not anchored not stored refs pending

The invisibility via anomalous localized resonance of a source for electromagnetic waves

Hoai-Minh Nguyen

arxiv:1906.06152 v1 · 2019-06-14 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZZJKGNN2J6BSWXI7NOMFXBKRPZ}

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	2026-05-17T23:43:19.570974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce52a335ba4f832b5d1f6b985b85517e7f520e989690ac0b88ec94d48b79ea08

Aliases

arxiv: 1906.06152 · arxiv_version: 1906.06152v1 · doi: 10.48550/arxiv.1906.06152 · pith_short_12: ZZJKGNN2J6BS · pith_short_16: ZZJKGNN2J6BSWXI7 · pith_short_8: ZZJKGNN2

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/ZZJKGNN2J6BSWXI7NOMFXBKRPZ \
  | 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: ce52a335ba4f832b5d1f6b985b85517e7f520e989690ac0b88ec94d48b79ea08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c86f100b0c9e7ae6852635055c6007a45adcd46fe66a0f9c5eb4885ce682fd9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-06-14T12:08:32Z",
    "title_canon_sha256": "5f368a9c06db02b01899ff5695e7fc7081e99a3c124715e03ee079588077724c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.06152",
    "kind": "arxiv",
    "version": 1
  }
}