Pith Number

pith:CNVF6S26

pith:2001:CNVF6S26FGZVPB45DOCMBLGL72

not attested not anchored not stored refs pending

A new proof for the existence of mutually unbiased bases

Farrokh Vatan, P. Oscar Boykin, Somshubhro Bandyopadhyay, Vwani Roychowdhury

arxiv:quant-ph/0103162 v3 · 2001-03-29 · 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{CNVF6S26FGZVPB45DOCMBLGL72}

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.

Cited by

3 papers in Pith

Mutually Unbiased Bases for Variational Quantum Initialization: Basis-Union Optimality and Adaptive Family Search

Efficient Gradient Estimation for Parameterized Quantum Systems with Lie Algebraic Symmetries

Mutually Unbiased Bases for Variational Quantum Initialization: Basis-Union Optimality and Adaptive Family Search

Receipt and verification

First computed	2026-07-04T14:45:37.023457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

136a5f4b5e29b357879d1b84c0accbfebaedc21a36274e5090936a71d1c1ee53

Aliases

arxiv: quant-ph/0103162 · arxiv_version: quant-ph/0103162v3 · doi: 10.48550/arxiv.quant-ph/0103162 · pith_short_12: CNVF6S26FGZV · pith_short_16: CNVF6S26FGZVPB45 · pith_short_8: CNVF6S26

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/CNVF6S26FGZVPB45DOCMBLGL72 \
  | 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: 136a5f4b5e29b357879d1b84c0accbfebaedc21a36274e5090936a71d1c1ee53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c78ff9306671c2697ed5ac21630b2c2cb6e5491a7cff724f3ec4b9195c32e1d4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2001-03-29T18:55:41Z",
    "title_canon_sha256": "72870f680df6fe3dbc6ba86de069770dcfb3ed19a938a45cb5dd778ed93ee004"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0103162",
    "kind": "arxiv",
    "version": 3
  }
}