Pith Number

pith:NBMNQD63

pith:2007:NBMNQD63TC7PFWREP5USFU5RGN

not attested not anchored not stored refs pending

Magnifying perfect lens and superlens design by coordinate transformation

2) ((1) California Institute of Technology, (2) EPFL, Demetri Psaltis (1, Mankei Tsang (1), Switzerland)

arxiv:0708.0262 v3 · 2007-08-02 · 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{NBMNQD63TC7PFWREP5USFU5RGN}

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	2026-07-04T15:07:10.469683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6858d80fdb98bef2da247f6922d3b13366e91e72576d55cbd0b9097e2413c137

Aliases

arxiv: 0708.0262 · arxiv_version: 0708.0262v3 · doi: 10.48550/arxiv.0708.0262 · pith_short_12: NBMNQD63TC7P · pith_short_16: NBMNQD63TC7PFWRE · pith_short_8: NBMNQD63

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/NBMNQD63TC7PFWREP5USFU5RGN \
  | 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: 6858d80fdb98bef2da247f6922d3b13366e91e72576d55cbd0b9097e2413c137

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92f1ea5a400871f487c061b087fe3b2f1acfcc545013c994e1a576ed9502fcb8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "physics.optics",
    "submitted_at": "2007-08-02T02:54:48Z",
    "title_canon_sha256": "27bec678da8a50b048ac39e79dab1c2bc89713e85605af640b44c65311f29487"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.0262",
    "kind": "arxiv",
    "version": 3
  }
}