Pith Number

pith:Y345ELFU

pith:2013:Y345ELFUGLMJGJ4IYEVXCI7AAZ

not attested not anchored not stored refs pending

Near-field focusing of dielectric microspheres: Super-resolution and field-invariant parameter scaling

Boris Luk'yanchuk, Yi Zhou, Zengbo Wang

arxiv:1304.4139 v2 · 2013-04-15 · 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{Y345ELFUGLMJGJ4IYEVXCI7AAZ}

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	2026-05-18T03:27:13.274924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6f9d22cb432d8932788c12b7123e0065a67f4b6b2c98f818029e6de2173f7c0

Aliases

arxiv: 1304.4139 · arxiv_version: 1304.4139v2 · doi: 10.48550/arxiv.1304.4139 · pith_short_12: Y345ELFUGLMJ · pith_short_16: Y345ELFUGLMJGJ4I · pith_short_8: Y345ELFU

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/Y345ELFUGLMJGJ4IYEVXCI7AAZ \
  | 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: c6f9d22cb432d8932788c12b7123e0065a67f4b6b2c98f818029e6de2173f7c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1ad5b713f345d9de997ef6598f99bf4c650f61de4a7f4ddbbac06d8388eb0dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2013-04-15T15:50:52Z",
    "title_canon_sha256": "10ae148703c92945cf1c7d7131fecd83a2ef0fe8a0944e3cb5974f4ba7c2629a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4139",
    "kind": "arxiv",
    "version": 2
  }
}