Pith Number

pith:D4WKK6CD

pith:2005:D4WKK6CDXCTOQFSOO7ULG64NCB

not attested not anchored not stored refs pending

Optimizing the Superlens: manipulating geometry to enhance the resolution

Graeme W. Milton, Nicholas A. Kuhta, Viktor A. Podolskiy

arxiv:physics/0509067 v1 · 2005-09-08 · physics.optics · physics.gen-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D4WKK6CDXCTOQFSOO7ULG64NCB}

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	2026-05-18T01:05:08.332141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f2ca57843b8a6e8164e77e8b37b8d104690cabc6f3c488eea55f8b8e6f31fa5

Aliases

arxiv: physics/0509067 · arxiv_version: physics/0509067v1 · doi: 10.48550/arxiv.physics/0509067 · pith_short_12: D4WKK6CDXCTO · pith_short_16: D4WKK6CDXCTOQFSO · pith_short_8: D4WKK6CD

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/D4WKK6CDXCTOQFSOO7ULG64NCB \
  | 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: 1f2ca57843b8a6e8164e77e8b37b8d104690cabc6f3c488eea55f8b8e6f31fa5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f58294fef3a7f118bc99a7442df6dc670cc6e7f72e02495542b0ad3d7449fd52",
    "cross_cats_sorted": [
      "physics.gen-ph"
    ],
    "license": "",
    "primary_cat": "physics.optics",
    "submitted_at": "2005-09-08T20:17:04Z",
    "title_canon_sha256": "a497e8b33ade38ae2063f0f30ac16336a9ef25084d5d68a5e7f2db1117d0ed65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0509067",
    "kind": "arxiv",
    "version": 1
  }
}