Pith Number

pith:XJOZQQ63

pith:2008:XJOZQQ63VU4K2IQDB2HMHRAX43

not attested not anchored not stored refs pending

Nonexistence of Mutually Unbiased Bases for Hilbert spaces with non-power-of-a-prime dimensions

Aldo Delgado, Carlos Saavedra, Ming Yang, Reinaldo O. Vianna

arxiv:0806.0391 v3 · 2008-06-02 · 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{XJOZQQ63VU4K2IQDB2HMHRAX43}

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	2026-07-04T15:13:10.717658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba5d9843dbad38ad22030e8ec3c417e6ddd153ff743caadac8a0213a34279961

Aliases

arxiv: 0806.0391 · arxiv_version: 0806.0391v3 · doi: 10.48550/arxiv.0806.0391 · pith_short_12: XJOZQQ63VU4K · pith_short_16: XJOZQQ63VU4K2IQD · pith_short_8: XJOZQQ63

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/XJOZQQ63VU4K2IQDB2HMHRAX43 \
  | 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: ba5d9843dbad38ad22030e8ec3c417e6ddd153ff743caadac8a0213a34279961

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "411e99286d27f748ac55b824c5ebaf84fcd960aa1b706c0932f726f5520259e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2008-06-02T20:48:51Z",
    "title_canon_sha256": "bbcb05436f6e5836932cfbf67d4b32c91000a795adaab7e0040388d8ed254b24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0806.0391",
    "kind": "arxiv",
    "version": 3
  }
}