Pith Number

pith:4XCQEGPX

pith:2022:4XCQEGPXCFSHQCWPLZZGKHBEFY

not attested not anchored not stored refs pending

Fast generation of arbitrary optical focus array

Cuifang Kuang, Shijie Tu, Xiang Hao, Xin Liu, Xu Liu, Yiwen Hu

arxiv:2206.12661 v2 · 2022-06-25 · 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{4XCQEGPXCFSHQCWPLZZGKHBEFY}

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	2026-07-05T09:24:29.930809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5c50219f71164780acf5e72651c242e054d8a79c1dae67771f7d2e7e2323c51

Aliases

arxiv: 2206.12661 · arxiv_version: 2206.12661v2 · doi: 10.48550/arxiv.2206.12661 · pith_short_12: 4XCQEGPXCFSH · pith_short_16: 4XCQEGPXCFSHQCWP · pith_short_8: 4XCQEGPX

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/4XCQEGPXCFSHQCWPLZZGKHBEFY \
  | 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: e5c50219f71164780acf5e72651c242e054d8a79c1dae67771f7d2e7e2323c51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "314bb3b091750aa20d15ebb13e5f5516901ca01087e5d46c1d4f93c396173bee",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2022-06-25T14:24:41Z",
    "title_canon_sha256": "6e123b057e590ed01d00ce938d6c6782ca653a74753b6293997192b8bd3e9fd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.12661",
    "kind": "arxiv",
    "version": 2
  }
}