Pith Number

pith:VQ3CV3MD

pith:2012:VQ3CV3MDRZ544TMFHZITI4Z2CE

not attested not anchored not stored refs pending

Position measurement of non-integer OAM beams with structurally invariant propagation

A. M. Nugrowati, J. P. Woerdman, W. G. Stam

arxiv:1207.6019 v2 · 2012-07-19 · 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{VQ3CV3MDRZ544TMFHZITI4Z2CE}

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	2026-05-18T03:30:12.406156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac362aed838e7bce4d853e5134733a112ecf1315caf01fc9a93d6aa3ee87c180

Aliases

arxiv: 1207.6019 · arxiv_version: 1207.6019v2 · doi: 10.48550/arxiv.1207.6019 · pith_short_12: VQ3CV3MDRZ54 · pith_short_16: VQ3CV3MDRZ544TMF · pith_short_8: VQ3CV3MD

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/VQ3CV3MDRZ544TMFHZITI4Z2CE \
  | 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: ac362aed838e7bce4d853e5134733a112ecf1315caf01fc9a93d6aa3ee87c180

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1cad38c4e2e213aea937a155d9cbef95711a4313551f95e274e605cc6573a36",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2012-07-19T10:30:12Z",
    "title_canon_sha256": "ced2c50fa889ed8e778713cc0bb393973ac0fbe4a2684457d4ecb18e9bfd1699"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6019",
    "kind": "arxiv",
    "version": 2
  }
}