Pith Number

pith:YEJMJCLL

pith:2010:YEJMJCLLIEGEU2ESH5YJEITFRG

not attested not anchored not stored refs pending

Sub-diffraction Focussing using Quadratic Measure Eigenmodes

Joerg Baumgartl, Kishan Dholakia, Michael Mazilu

arxiv:1004.3586 v2 · 2010-04-20 · 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{YEJMJCLLIEGEU2ESH5YJEITFRG}

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	2026-05-18T04:31:52.381706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c112c4896b410c4a68923f7092226589bfc3edee4fbfa45b13c5135a144eb0c0

Aliases

arxiv: 1004.3586 · arxiv_version: 1004.3586v2 · doi: 10.48550/arxiv.1004.3586 · pith_short_12: YEJMJCLLIEGE · pith_short_16: YEJMJCLLIEGEU2ES · pith_short_8: YEJMJCLL

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/YEJMJCLLIEGEU2ESH5YJEITFRG \
  | 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: c112c4896b410c4a68923f7092226589bfc3edee4fbfa45b13c5135a144eb0c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c917a2fdb46eb976e45654a0b1f9e11cc615bfea2bc604ded0be0ed7cd75f19",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2010-04-20T22:00:41Z",
    "title_canon_sha256": "92f5d953fb2c90b7e7d7fa6c2c5381ce984e9cc2d537a52451305b7ede2b4070"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.3586",
    "kind": "arxiv",
    "version": 2
  }
}