Pith Number

pith:5FSJQTJD

pith:2009:5FSJQTJDF7LRAIP7ISACGDPDWW

not attested not anchored not stored refs pending

Cloaking a sensor via transformation optics

Allan Greenleaf, Gunther Uhlmann, Matti Lassas, Yaroslav Kurylev

arxiv:0912.1872 v2 · 2009-12-09 · 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{5FSJQTJDF7LRAIP7ISACGDPDWW}

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	2026-05-18T01:15:00.661771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e964984d232fd71021ff4480230de3b59f5f07719941436499f89ee96d34166c

Aliases

arxiv: 0912.1872 · arxiv_version: 0912.1872v2 · doi: 10.48550/arxiv.0912.1872 · pith_short_12: 5FSJQTJDF7LR · pith_short_16: 5FSJQTJDF7LRAIP7 · pith_short_8: 5FSJQTJD

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/5FSJQTJDF7LRAIP7ISACGDPDWW \
  | 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: e964984d232fd71021ff4480230de3b59f5f07719941436499f89ee96d34166c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "faeef5f0c70c9a656a9c2fcc31c2e3ba9deb8e51f00f61e162d301d053e49792",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2009-12-09T22:07:15Z",
    "title_canon_sha256": "3ffed67dc677e2e831c787db12da6529fdcb12d2124f156e607ce23de9eb9f2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.1872",
    "kind": "arxiv",
    "version": 2
  }
}