Pith Number

pith:PQATTDDN

pith:2009:PQATTDDNJ4KF4IAMZ3A6RD4CQV

not attested not anchored not stored refs pending

Exact modeling method for discrete finite metamaterial lens

L. Jelinek, M. J. Freire, M. Lapine, R. Marques

arxiv:0912.0467 v2 · 2009-12-02 · 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{PQATTDDNJ4KF4IAMZ3A6RD4CQV}

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	2026-05-18T02:43:16.840881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c01398c6d4f145e200ccec1e88f82857e72e59ba142780108a9b04a2dd79222

Aliases

arxiv: 0912.0467 · arxiv_version: 0912.0467v2 · doi: 10.48550/arxiv.0912.0467 · pith_short_12: PQATTDDNJ4KF · pith_short_16: PQATTDDNJ4KF4IAM · pith_short_8: PQATTDDN

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/PQATTDDNJ4KF4IAMZ3A6RD4CQV \
  | 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: 7c01398c6d4f145e200ccec1e88f82857e72e59ba142780108a9b04a2dd79222

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f54b82239f9346486b662a2cf66e9c38953bf30f00ae427f7ae41a8e24e36716",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2009-12-02T17:39:47Z",
    "title_canon_sha256": "2b3e08dd46a99607d7a21f386d1fcc42e743177a85fa580e98fd54f796ff099f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.0467",
    "kind": "arxiv",
    "version": 2
  }
}