Pith Number

pith:PN2DLJPO

pith:2008:PN2DLJPOTWFV43IMKHYT6QV5JP

not attested not anchored not stored refs pending

Superfocusing by Nano-Shells

Igor Tsukerman

arxiv:0811.2247 v2 · 2008-11-14 · cond-mat.other · 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{PN2DLJPOTWFV43IMKHYT6QV5JP}

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	2026-05-18T02:15:21.189894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b7435a5ee9d8b5e6d0c51f13f42bd4bd11c998327fda38fcff8ad9850e40efe

Aliases

arxiv: 0811.2247 · arxiv_version: 0811.2247v2 · doi: 10.48550/arxiv.0811.2247 · pith_short_12: PN2DLJPOTWFV · pith_short_16: PN2DLJPOTWFV43IM · pith_short_8: PN2DLJPO

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/PN2DLJPOTWFV43IMKHYT6QV5JP \
  | 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: 7b7435a5ee9d8b5e6d0c51f13f42bd4bd11c998327fda38fcff8ad9850e40efe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5f0a7c1c71ee8a61447d3b7a65f60e03ebbdf197777af6991776238a3be3ebc",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.other",
    "submitted_at": "2008-11-14T01:03:26Z",
    "title_canon_sha256": "7be0367cb0b292a066fb700df9551ed3ff9d54ce32f9c9b7f1580b13f65c14b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.2247",
    "kind": "arxiv",
    "version": 2
  }
}