Pith Number

pith:7NFU3ERF

pith:2010:7NFU3ERFPVCXYVMPQ2SR7GQBA6

not attested not anchored not stored refs pending

Imaging Properties of Two-Dimensional Microlenses

Alexander V. Kildishev, Igor I. Smolyaninov, Vera N. Smolyaninova, Vladimir M. Shalaev

arxiv:1006.0914 v1 · 2010-06-04 · 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{7NFU3ERFPVCXYVMPQ2SR7GQBA6}

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	2026-05-18T04:39:38.777843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb4b4d92257d457c558f86a51f9a01078efc9536eda0903f8dff05937df1d587

Aliases

arxiv: 1006.0914 · arxiv_version: 1006.0914v1 · doi: 10.48550/arxiv.1006.0914 · pith_short_12: 7NFU3ERFPVCX · pith_short_16: 7NFU3ERFPVCXYVMP · pith_short_8: 7NFU3ERF

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/7NFU3ERFPVCXYVMPQ2SR7GQBA6 \
  | 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: fb4b4d92257d457c558f86a51f9a01078efc9536eda0903f8dff05937df1d587

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32fda1b54d9e7f4f90071fc194e68c0da4dcde8b0d2723069f3243c6889dd3f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2010-06-04T14:47:00Z",
    "title_canon_sha256": "40f7a15382aeac167f2ea104b1daebcff62727b1b9c0eff0756746413dbb1cab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.0914",
    "kind": "arxiv",
    "version": 1
  }
}