Pith Number

pith:U4WIS2NZ

pith:2024:U4WIS2NZX4QOELSZL2IXCMNIYR

not attested not anchored not stored refs pending

Effective Sorting of Fractional Optical Vortex Modes

Haigang Liu, Xianfeng Chen, Zhengyang Mao

arxiv:2404.12582 v1 · 2024-04-19 · 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{U4WIS2NZX4QOELSZL2IXCMNIYR}

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	2026-07-05T08:09:55.639010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a72c8969b9bf20e22e595e917131a8c469714750611b165a735662f692578d86

Aliases

arxiv: 2404.12582 · arxiv_version: 2404.12582v1 · doi: 10.48550/arxiv.2404.12582 · pith_short_12: U4WIS2NZX4QO · pith_short_16: U4WIS2NZX4QOELSZ · pith_short_8: U4WIS2NZ

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/U4WIS2NZX4QOELSZL2IXCMNIYR \
  | 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: a72c8969b9bf20e22e595e917131a8c469714750611b165a735662f692578d86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "214c1fd50f7195cc0844374b04ca1295f030de652f0af1c766da00db25744b7b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2024-04-19T02:23:03Z",
    "title_canon_sha256": "fc301deaa04190394ee38de52a628778a1317cc00437b0674046675ec6c49331"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.12582",
    "kind": "arxiv",
    "version": 1
  }
}