Pith Number

pith:77IV3PMS

pith:2012:77IV3PMSHE2GCLKICFOO374GNP

not attested not anchored not stored refs pending

Quadrature Uncertainty and Information Entropy of Quantum Elliptical Vortex States

Abir Bandyopadhyay, Anindya Banerji, Prasanta K. Panigrahi, Ravindra Pratap Singh, Saurav Chowdhury

arxiv:1210.6744 v5 · 2012-10-25 · quant-ph · math-ph · math.MP · 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{77IV3PMSHE2GCLKICFOO374GNP}

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	2026-05-18T03:19:11.525600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffd15dbd923934612d48115cedff866beec3f7a0b570c583edbc9eff309161e2

Aliases

arxiv: 1210.6744 · arxiv_version: 1210.6744v5 · doi: 10.48550/arxiv.1210.6744 · pith_short_12: 77IV3PMSHE2G · pith_short_16: 77IV3PMSHE2GCLKI · pith_short_8: 77IV3PMS

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/77IV3PMSHE2GCLKICFOO374GNP \
  | 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: ffd15dbd923934612d48115cedff866beec3f7a0b570c583edbc9eff309161e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6210a2220bd819f9b5a478421dd557d3a70b6ed35b8d3cc0a9db35491910d115",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-10-25T05:56:21Z",
    "title_canon_sha256": "796ea24ed8749d2724fef1b60fa396a1143dcedd274304092769e782e92dce17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6744",
    "kind": "arxiv",
    "version": 5
  }
}