Pith Number

pith:MNDHFRQS

pith:2016:MNDHFRQSFVJQ5AXY4EU3HQJZJZ

not attested not anchored not stored refs pending

Focused Azimuthally Polarized Vector Beam and Spatial Magnetic Resolution below the Diffraction Limit

Caner Guclu, Filippo Capolino, Mehdi Veysi

arxiv:1603.00038 v2 · 2016-02-29 · 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{MNDHFRQSFVJQ5AXY4EU3HQJZJZ}

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	2026-05-18T01:00:39.616117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

634672c6122d530e82f8e129b3c1394e455764dca856ebea20e274c9d1cbe070

Aliases

arxiv: 1603.00038 · arxiv_version: 1603.00038v2 · doi: 10.48550/arxiv.1603.00038 · pith_short_12: MNDHFRQSFVJQ · pith_short_16: MNDHFRQSFVJQ5AXY · pith_short_8: MNDHFRQS

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/MNDHFRQSFVJQ5AXY4EU3HQJZJZ \
  | 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: 634672c6122d530e82f8e129b3c1394e455764dca856ebea20e274c9d1cbe070

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cbc756c8cf36da594b8a885d738e8c01ff48c767dce7c18c1738f8cce31c287",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2016-02-29T21:06:23Z",
    "title_canon_sha256": "f2d9c76a0f0bd30fbc458802fa9276fed0d2506ade26c271153d8803215c9e43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.00038",
    "kind": "arxiv",
    "version": 2
  }
}