Pith Number

pith:5GBIDOJL

pith:2011:5GBIDOJL6WXGHZFSTTL52J7IUA

not attested not anchored not stored refs pending

Wigner distribution function and entanglement of generalized quantum optical vortex

Abir Bandyopadhyay, R. P. Singh, Shashi Prabhakar

arxiv:1101.4736 v6 · 2011-01-25 · 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{5GBIDOJL6WXGHZFSTTL52J7IUA}

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	2026-05-18T04:25:12.824227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e98281b92bf5ae63e4b29cd7dd27e8a033f278cc007464c22b5017a8af86871a

Aliases

arxiv: 1101.4736 · arxiv_version: 1101.4736v6 · doi: 10.48550/arxiv.1101.4736 · pith_short_12: 5GBIDOJL6WXG · pith_short_16: 5GBIDOJL6WXGHZFS · pith_short_8: 5GBIDOJL

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/5GBIDOJL6WXGHZFSTTL52J7IUA \
  | 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: e98281b92bf5ae63e4b29cd7dd27e8a033f278cc007464c22b5017a8af86871a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81eefaa7acd017cc4bb11d9cc674361d0ce4b712a4b4ec5e04d101217cc981c6",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-01-25T07:23:30Z",
    "title_canon_sha256": "1a0197a5d9f1f6555e01a416e65770cbc327f3e44e88f642334a3df00603ee1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4736",
    "kind": "arxiv",
    "version": 6
  }
}