Pith Number

pith:5NS5XLCT

pith:2011:5NS5XLCTSGSKSS7XWNTSBFFSQ7

not attested not anchored not stored refs pending

Canonical separation of angular momentum of light into its orbital and spin parts

Iwo Bialynicki-Birula, Zofia Bialynicka-Birula

arxiv:1105.5728 v1 · 2011-05-28 · quant-ph · 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{5NS5XLCTSGSKSS7XWNTSBFFSQ7}

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	2026-05-18T04:21:01.701099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb65dbac5391a4a94bf7b3672094b287e2fbb0ab4e25436170edc90f1715df17

Aliases

arxiv: 1105.5728 · arxiv_version: 1105.5728v1 · doi: 10.48550/arxiv.1105.5728 · pith_short_12: 5NS5XLCTSGSK · pith_short_16: 5NS5XLCTSGSKSS7X · pith_short_8: 5NS5XLCT

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/5NS5XLCTSGSKSS7XWNTSBFFSQ7 \
  | 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: eb65dbac5391a4a94bf7b3672094b287e2fbb0ab4e25436170edc90f1715df17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87cd927073cc1e6e9ac91c2df6e509c20dbf365bf3b8444ea8e3b3d774fb0a38",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-05-28T16:53:41Z",
    "title_canon_sha256": "369caac71f97690907dddb8ec2969652dba2ecf6b5feb872256826694e8bf398"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5728",
    "kind": "arxiv",
    "version": 1
  }
}