Pith Number

pith:F5P72QJJ

pith:2010:F5P72QJJHUWX5XVIDSZD2P3KAU

not attested not anchored not stored refs pending

Classical and quantum properties of cylindrically polarized states of light

Andrea Aiello, Annemarie Holleczek, Christian Gabriel, Christoph Marquardt, Gerd Leuchs

arxiv:1012.4578 v1 · 2010-12-21 · 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{F5P72QJJHUWX5XVIDSZD2P3KAU}

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	2026-05-18T02:04:19.519824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f5ffd41293d2d7edea81cb23d3f6a050924762fcb158f39e239161e146149a4

Aliases

arxiv: 1012.4578 · arxiv_version: 1012.4578v1 · doi: 10.48550/arxiv.1012.4578 · pith_short_12: F5P72QJJHUWX · pith_short_16: F5P72QJJHUWX5XVI · pith_short_8: F5P72QJJ

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/F5P72QJJHUWX5XVIDSZD2P3KAU \
  | 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: 2f5ffd41293d2d7edea81cb23d3f6a050924762fcb158f39e239161e146149a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0569c1b4d1e6d471a872e5c539f1b9c9a98c4d09fa6639770209aad046dfeebb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-12-21T09:27:35Z",
    "title_canon_sha256": "88edfc9ec516399716860c9dc29d4fe2d631d840902800a9f650e7789499526f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4578",
    "kind": "arxiv",
    "version": 1
  }
}