pith. sign in
Pith Number

pith:BU5QBD3G

pith:2018:BU5QBD3GU7QNHBLPAW24ARNXKH
not attested not anchored not stored refs pending

Quantum numbers and spectra of structured light

Iwo Bialynicki-Birula, Zofia Bialynicka-Birula

arxiv:1805.00678 v2 · 2018-05-02 · physics.optics

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{BU5QBD3GU7QNHBLPAW24ARNXKH}

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 2026-05-18T00:04:58.640341Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

0d3b008f66a7e0d3856f05b5c045b751ea3a0de05a19a8f05a775bfa9413d30b

Aliases

arxiv: 1805.00678 · arxiv_version: 1805.00678v2 · doi: 10.48550/arxiv.1805.00678 · pith_short_12: BU5QBD3GU7QN · pith_short_16: BU5QBD3GU7QNHBLP · pith_short_8: BU5QBD3G
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/BU5QBD3GU7QNHBLPAW24ARNXKH \
  | 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: 0d3b008f66a7e0d3856f05b5c045b751ea3a0de05a19a8f05a775bfa9413d30b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "196641efdace086ec3d46c33ada86d24e1e9174e26d75844402c604b5829c8b0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2018-05-02T08:48:49Z",
    "title_canon_sha256": "52aac8cce245118f2768dde3cda526ed732878637a7def997cd75b6e17a36278"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.00678",
    "kind": "arxiv",
    "version": 2
  }
}