Pith Number

pith:NDQ72UMT

pith:2009:NDQ72UMTPFGSB42XWSV45BXTB2

not attested not anchored not stored refs pending

Optical anisotropic metamaterials: Negative refraction and focusing

Anan Fang, Costas M. Soukoulis, Thomas Koschny

arxiv:0907.1112 v1 · 2009-07-06 · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NDQ72UMTPFGSB42XWSV45BXTB2}

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	2026-05-18T02:13:04.885118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68e1fd5193794d20f357b4abce86f30ebb9c5b04ce999a7a08252b1015c9fb8d

Aliases

arxiv: 0907.1112 · arxiv_version: 0907.1112v1 · doi: 10.48550/arxiv.0907.1112 · pith_short_12: NDQ72UMTPFGS · pith_short_16: NDQ72UMTPFGSB42X · pith_short_8: NDQ72UMT

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/NDQ72UMTPFGSB42XWSV45BXTB2 \
  | 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: 68e1fd5193794d20f357b4abce86f30ebb9c5b04ce999a7a08252b1015c9fb8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "213d81de5c93e35a013120bbe335a4b8e682310bc4a626a3b98b6fa06db1a8dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2009-07-06T23:06:09Z",
    "title_canon_sha256": "be0ee4af3799b4d85ba0e1a8211e0e87ee42e7d2bb3ccd3ed522d38747c72753"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.1112",
    "kind": "arxiv",
    "version": 1
  }
}