Pith Number

pith:WA4E2F6U

pith:2014:WA4E2F6UFYCL5MN3WFYRGDNJKI

not attested not anchored not stored refs pending

Galois Unitaries, Mutually Unbiased Bases, and MUB-balanced states

D.M. Appleby, Hoan Bui Dang, Ingemar Bengtsson

arxiv:1409.7987 v2 · 2014-09-29 · quant-ph · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WA4E2F6UFYCL5MN3WFYRGDNJKI}

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

1 paper in Pith

Mutually Unbiased Bases in Composite Dimensions -- A Review

Receipt and verification

First computed	2026-05-18T02:38:59.188305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0384d17d42e04beb1bbb171130da952097e7549eabec51878b937a91bad33b1

Aliases

arxiv: 1409.7987 · arxiv_version: 1409.7987v2 · doi: 10.48550/arxiv.1409.7987 · pith_short_12: WA4E2F6UFYCL · pith_short_16: WA4E2F6UFYCL5MN3 · pith_short_8: WA4E2F6U

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/WA4E2F6UFYCL5MN3WFYRGDNJKI \
  | 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: b0384d17d42e04beb1bbb171130da952097e7549eabec51878b937a91bad33b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ab0a99056877568321174185d0f4b6379df4579bb528f6a4c2e7dc977de0597",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-09-29T03:20:41Z",
    "title_canon_sha256": "9597618b78a3ddf38a3767928ae80fb2de7f279b37d167a3ff5b79b3dbfc1688"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.7987",
    "kind": "arxiv",
    "version": 2
  }
}