Pith Number

pith:KW62CEQW

pith:2008:KW62CEQWTIRB2FSUE2KMHHY6M3

not attested not anchored not stored refs pending

Maximizing the electric field strength in the foci of high numerical aperture optics

Gerd Leuchs, Markus Sondermann, Norbert Lindlein

arxiv:0811.2098 v3 · 2008-11-13 · physics.optics · quant-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{KW62CEQWTIRB2FSUE2KMHHY6M3}

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.

Cited by

1 paper in Pith

Phase-locked phonon laser enhanced ultra-weak force measurement

Receipt and verification

First computed	2026-05-18T04:10:57.501976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55bda112169a221d16542694c39f1e66d7c1f6be2d6b1b760286c46bbe573606

Aliases

arxiv: 0811.2098 · arxiv_version: 0811.2098v3 · doi: 10.48550/arxiv.0811.2098 · pith_short_12: KW62CEQWTIRB · pith_short_16: KW62CEQWTIRB2FSU · pith_short_8: KW62CEQW

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/KW62CEQWTIRB2FSUE2KMHHY6M3 \
  | 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: 55bda112169a221d16542694c39f1e66d7c1f6be2d6b1b760286c46bbe573606

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23975408a280999516324d6184e821b2ae41d9d3fa57733a13e9bacef96e0daf",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2008-11-13T12:59:42Z",
    "title_canon_sha256": "d48d4f387171d7607e730dc1fbb45fc4f4b55bbf5ed9e5d936e20650d85b8ccf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.2098",
    "kind": "arxiv",
    "version": 3
  }
}