Pith Number

pith:CDETA4NM

pith:2024:CDETA4NMKEA6YRBN5XDE5RO5TR

not attested not anchored not stored refs pending

Laguerre-Gaussian modes become elegant after an azimuthal phase modulation

Angela Dudley, Isaac Nape, Kayn A. Forbes, Light Mkhumbuza, Robert de Mello Koch, Vasilios Cocotos

arxiv:2411.07655 v1 · 2024-11-12 · 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{CDETA4NMKEA6YRBN5XDE5RO5TR}

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	2026-07-05T09:34:26.869378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10c93071ac5101ec442dedc64ec5dd9c55f72160c87a9c00ef77591d535d68dc

Aliases

arxiv: 2411.07655 · arxiv_version: 2411.07655v1 · doi: 10.48550/arxiv.2411.07655 · pith_short_12: CDETA4NMKEA6 · pith_short_16: CDETA4NMKEA6YRBN · pith_short_8: CDETA4NM

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/CDETA4NMKEA6YRBN5XDE5RO5TR \
  | 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: 10c93071ac5101ec442dedc64ec5dd9c55f72160c87a9c00ef77591d535d68dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c290de21bd458bbfdb6bd020567b257e4d09bd577b643e6476ba2306bb04dd89",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2024-11-12T09:10:09Z",
    "title_canon_sha256": "92657d8bd4b44e9108532c038abf1531356ee8c584c635acbaca0ea02c7ba97b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.07655",
    "kind": "arxiv",
    "version": 1
  }
}