Pith Number

pith:GUDPL3L3

pith:2025:GUDPL3L3PDTCEUJ7PNJ6WPD4RA

not attested not anchored not stored refs pending

The R-index: A universal metric for evaluating OAM content and mode purity in optical fields

Georgios M. Koutentakis, Mikhail Lemeshko, Mikhail Maslov, Monika Bahl, Oliver H. Heckl, Timo Gassen, Tom Jungnickel

arxiv:2508.12973 v1 · 2025-08-18 · physics.optics · physics.app-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GUDPL3L3PDTCEUJ7PNJ6WPD4RA}

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	2026-07-05T11:55:30.122129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3506f5ed7b78e622513f7b53eb3c7c8836d56490b098e2242206d0fd7a9893fe

Aliases

arxiv: 2508.12973 · arxiv_version: 2508.12973v1 · doi: 10.48550/arxiv.2508.12973 · pith_short_12: GUDPL3L3PDTC · pith_short_16: GUDPL3L3PDTCEUJ7 · pith_short_8: GUDPL3L3

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/GUDPL3L3PDTCEUJ7PNJ6WPD4RA \
  | 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: 3506f5ed7b78e622513f7b53eb3c7c8836d56490b098e2242206d0fd7a9893fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f0ed1988e9bbca5e1b4a3feb620001c34b64d9fac519ae3587703efa500274c",
    "cross_cats_sorted": [
      "physics.app-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2025-08-18T14:50:39Z",
    "title_canon_sha256": "fe873f78155cd4531cc7e9ff74d3048cd2a228b2db2cc55303a9e1d4552b98cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.12973",
    "kind": "arxiv",
    "version": 1
  }
}