Pith Number

pith:6YGKHYC4

pith:2005:6YGKHYC44GNOFA27CUOJXYOLQA

not attested not anchored not stored refs pending

On the structure of the sets of mutually unbiased bases for N qubits

A. B. Klimov, G. Bjork, J. L. Romero, L. L. Sanchez-Soto

arxiv:quant-ph/0508129 v1 · 2005-08-17 · 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{6YGKHYC44GNOFA27CUOJXYOLQA}

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	2026-07-04T16:58:07.411426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f60ca3e05ce19ae2835f151c9be1cb80369b6686d69e462ead3b43f85493361b

Aliases

arxiv: quant-ph/0508129 · arxiv_version: quant-ph/0508129v1 · doi: 10.48550/arxiv.quant-ph/0508129 · pith_short_12: 6YGKHYC44GNO · pith_short_16: 6YGKHYC44GNOFA27 · pith_short_8: 6YGKHYC4

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/6YGKHYC44GNOFA27CUOJXYOLQA \
  | 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: f60ca3e05ce19ae2835f151c9be1cb80369b6686d69e462ead3b43f85493361b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d271cc74df49a0d47d5f4dba044ef01a72e6cee0ba498c667e1851f834f34db2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2005-08-17T12:04:16Z",
    "title_canon_sha256": "5c1756310d0f550708b1a12469f162ba9c32ed3c9c5a7fe57f407324d3356acb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0508129",
    "kind": "arxiv",
    "version": 1
  }
}