pith. sign in
Pith Number

pith:UKVRZTKC

pith:2011:UKVRZTKCGFRB4G4FEX2B336JSD
not attested not anchored not stored refs pending

Complete characterisation of the azimuthal and radial indices of light fields carrying orbital angular momentum

Areti Mourka, Kishan Dholakia, Michael Mazilu, Tom Vettenburg

arxiv:1111.6932 v2 · 2011-11-29 · physics.optics

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{UKVRZTKCGFRB4G4FEX2B336JSD}

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 2026-05-18T04:07:17.192284Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a2ab1ccd4231621e1b8525f41defc990c93cda9ede36a5e54bfe455d55f07ed7

Aliases

arxiv: 1111.6932 · arxiv_version: 1111.6932v2 · doi: 10.48550/arxiv.1111.6932 · pith_short_12: UKVRZTKCGFRB · pith_short_16: UKVRZTKCGFRB4G4F · pith_short_8: UKVRZTKC
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/UKVRZTKCGFRB4G4FEX2B336JSD \
  | 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: a2ab1ccd4231621e1b8525f41defc990c93cda9ede36a5e54bfe455d55f07ed7
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "3e6f178dfaad68622534b6158041ea445a07cf5c86d8fedbd7857d87ac5e14c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2011-11-29T19:02:03Z",
    "title_canon_sha256": "8bb0870acc584226e23817f09f9d6d2ea2eba851cd987d65824d0a02fdbf94f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6932",
    "kind": "arxiv",
    "version": 2
  }
}