Pith Number

pith:NAMK2SP5

pith:2013:NAMK2SP5UO5D2HF6PXPRJ6XM4B

not attested not anchored not stored refs pending

The Forgotten Quantum Number: A short note on the radial modes of Laguerre-Gauss beams

Anton Zeilinger, Radek Lapkiewicz, Sven Ramelow, William N. Plick

arxiv:1306.6517 v1 · 2013-06-27 · quant-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{NAMK2SP5UO5D2HF6PXPRJ6XM4B}

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	2026-05-18T03:19:44.564885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6818ad49fda3ba3d1cbe7ddf14faece06f0a49b6851694901da0057664dbe847

Aliases

arxiv: 1306.6517 · arxiv_version: 1306.6517v1 · doi: 10.48550/arxiv.1306.6517 · pith_short_12: NAMK2SP5UO5D · pith_short_16: NAMK2SP5UO5D2HF6 · pith_short_8: NAMK2SP5

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/NAMK2SP5UO5D2HF6PXPRJ6XM4B \
  | 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: 6818ad49fda3ba3d1cbe7ddf14faece06f0a49b6851694901da0057664dbe847

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69256918b24161521e9cac50c1aa39c622deb9a0daeba99c5ecce35c3c2ea092",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-06-27T14:36:15Z",
    "title_canon_sha256": "1dd28a363a9bc98a72f9c89314fd0219c3fcb12a60172d50291d2af084bb4ccd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6517",
    "kind": "arxiv",
    "version": 1
  }
}