Pith Number

pith:K7TC67FD

pith:2018:K7TC67FD6YCXQ44L2TLYL7TPWP

not attested not anchored not stored refs pending

Multifocal diffractive lens generating several fixed foci at different design wavelengths

Andrey A. Morozov, Boris Chichkov, Evgeni A. Bezus, James S. Wolffsohn, Leonid L. Doskolovich, Vladimir Osipov

arxiv:1801.07903 v1 · 2018-01-24 · 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{K7TC67FD6YCXQ44L2TLYL7TPWP}

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	2026-05-18T00:21:34.235642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57e62f7ca3f60578738bd4d785fe6fb3c123f9fc693d2eb3357e1e8072504339

Aliases

arxiv: 1801.07903 · arxiv_version: 1801.07903v1 · doi: 10.48550/arxiv.1801.07903 · pith_short_12: K7TC67FD6YCX · pith_short_16: K7TC67FD6YCXQ44L · pith_short_8: K7TC67FD

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/K7TC67FD6YCXQ44L2TLYL7TPWP \
  | 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: 57e62f7ca3f60578738bd4d785fe6fb3c123f9fc693d2eb3357e1e8072504339

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35396c516231f1dee21f936dd74efd6ab7485d8be8700dad41968f1fd76de71a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2018-01-24T08:24:01Z",
    "title_canon_sha256": "6c4f9d0c9706d4842b1ea5eb39b6f5ffdb914c05dc5d52634fbf1a9b6fc73498"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.07903",
    "kind": "arxiv",
    "version": 1
  }
}