Pith Number

pith:GLZEK6L2

pith:2007:GLZEK6L2PQBU6GRFJW3TPR5BQ2

not attested not anchored not stored refs pending

A rigorous analysis of high order electromagnetic invisibility cloaks

Ricardo Weder

arxiv:0711.0507 v3 · 2007-11-04 · physics.optics · 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{GLZEK6L2PQBU6GRFJW3TPR5BQ2}

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	2026-07-04T17:06:30.948424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32f245797a7c034f1a254db737c7a186af06bd385d3a75ddd984ff8d2e3f6435

Aliases

arxiv: 0711.0507 · arxiv_version: 0711.0507v3 · doi: 10.48550/arxiv.0711.0507 · pith_short_12: GLZEK6L2PQBU · pith_short_16: GLZEK6L2PQBU6GRF · pith_short_8: GLZEK6L2

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/GLZEK6L2PQBU6GRFJW3TPR5BQ2 \
  | 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: 32f245797a7c034f1a254db737c7a186af06bd385d3a75ddd984ff8d2e3f6435

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af9de0a439c32a9f1ba395664e23c5b3ee59f9c9f0709ac020950bce59802b78",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "physics.optics",
    "submitted_at": "2007-11-04T10:26:57Z",
    "title_canon_sha256": "0c701a98a65bbd9b9fe3bff190066f630b74c0c349761401ab5e0e6e89a41a3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.0507",
    "kind": "arxiv",
    "version": 3
  }
}