Pith Number

pith:A5K32ZU5

pith:2008:A5K32ZU5HZTK2HKYRKGTS4OTNS

not attested not anchored not stored refs pending

Fractal Generalized Zone Plates

Gladys Minguez-Vega, Jesus Lancis, Juan A. Monsoriu, Mercedes Fernandez-Alonso, Omel Mendoza-Yero, Vicent Climent

arxiv:0811.0343 v1 · 2008-11-03 · 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{A5K32ZU5HZTK2HKYRKGTS4OTNS}

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	2026-05-18T02:15:22.377797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0755bd669d3e66ad1d588a8d3971d36c8cf1c42a6cb8d5f27be6b448796b59f4

Aliases

arxiv: 0811.0343 · arxiv_version: 0811.0343v1 · doi: 10.48550/arxiv.0811.0343 · pith_short_12: A5K32ZU5HZTK · pith_short_16: A5K32ZU5HZTK2HKY · pith_short_8: A5K32ZU5

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/A5K32ZU5HZTK2HKYRKGTS4OTNS \
  | 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: 0755bd669d3e66ad1d588a8d3971d36c8cf1c42a6cb8d5f27be6b448796b59f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5288675216bbe5242c7d8247f6da8c79b875bd0ea4cdce35da1aa3c41c44807",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2008-11-03T17:03:33Z",
    "title_canon_sha256": "1ce9e91a50e658395345a9e436c9b7c4c6c5051662252a2c3d1d5579d67747cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.0343",
    "kind": "arxiv",
    "version": 1
  }
}