Pith Number

pith:AUBGLXUS

pith:2010:AUBGLXUS2N5FFACJUPBEEZZE4J

not attested not anchored not stored refs pending

Wigner Distribution of Elliptical Quantum Optical Vortex

Abir Bandyopadhyay, Ravindra Pratap Singh

arxiv:1007.0697 v7 · 2010-07-05 · 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{AUBGLXUS2N5FFACJUPBEEZZE4J}

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	2026-05-18T04:34:19.411072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

050265de92d37a528049a3c2426724e24ac6f4d957ab4aee4cc14822cf1f6e54

Aliases

arxiv: 1007.0697 · arxiv_version: 1007.0697v7 · doi: 10.48550/arxiv.1007.0697 · pith_short_12: AUBGLXUS2N5F · pith_short_16: AUBGLXUS2N5FFACJ · pith_short_8: AUBGLXUS

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/AUBGLXUS2N5FFACJUPBEEZZE4J \
  | 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: 050265de92d37a528049a3c2426724e24ac6f4d957ab4aee4cc14822cf1f6e54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f9b0c886accf4d55dfd2abb9bd974298e8fcf2af9124dd93e7f362b324eb8bf",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-07-05T15:05:47Z",
    "title_canon_sha256": "2ab87abf0250e4b3b7a96004cd732878e5e82405d118ec3efea37895a85106fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.0697",
    "kind": "arxiv",
    "version": 7
  }
}