Pith Number

pith:TCWIEBVC

pith:2010:TCWIEBVCWQHKJC6VFK5ZGB65PW

not attested not anchored not stored refs pending

Generalized Transformation Optics of Linear Materials

J\"org Frauendiener, Robert T. Thompson, Steven A. Cummer

arxiv:1006.3364 v3 · 2010-06-17 · 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{TCWIEBVCWQHKJC6VFK5ZGB65PW}

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	2026-05-18T04:24:07.260684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98ac8206a2b40ea48bd52abb9307dd7d9298b158b658f1a5a78a9f0bf6850a29

Aliases

arxiv: 1006.3364 · arxiv_version: 1006.3364v3 · doi: 10.48550/arxiv.1006.3364 · pith_short_12: TCWIEBVCWQHK · pith_short_16: TCWIEBVCWQHKJC6V · pith_short_8: TCWIEBVC

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/TCWIEBVCWQHKJC6VFK5ZGB65PW \
  | 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: 98ac8206a2b40ea48bd52abb9307dd7d9298b158b658f1a5a78a9f0bf6850a29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0ea76eacf2a4c21722495d380724d686419819ec25e0989af859dae74a6a8fc",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2010-06-17T03:40:19Z",
    "title_canon_sha256": "89eebac81224a20343d6c0e1467c468f8a2d95d355b41d66f2bf0f210a2f0c5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.3364",
    "kind": "arxiv",
    "version": 3
  }
}