Pith Number

pith:CLNPVE4F

pith:2016:CLNPVE4FZ4MSJYFV4F6ZBDHW56

not attested not anchored not stored refs pending

Maximal Orthoplectic Fusion Frames from Mutually Unbiased Bases and Block Designs

Bernhard G. Bodmann, John I. Haas

arxiv:1607.04546 v1 · 2016-07-15 · math.FA · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CLNPVE4FZ4MSJYFV4F6ZBDHW56}

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	2026-05-18T01:11:00.905947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12dafa9385cf1924e0b5e17d908cf6efa51626202bdb93661a5358c44ee39c1f

Aliases

arxiv: 1607.04546 · arxiv_version: 1607.04546v1 · doi: 10.48550/arxiv.1607.04546 · pith_short_12: CLNPVE4FZ4MS · pith_short_16: CLNPVE4FZ4MSJYFV · pith_short_8: CLNPVE4F

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/CLNPVE4FZ4MSJYFV4F6ZBDHW56 \
  | 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: 12dafa9385cf1924e0b5e17d908cf6efa51626202bdb93661a5358c44ee39c1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df8ea4098eaa66028c0364ef9b6ccf7955765eff056b4c7869b1b515f6254309",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-07-15T15:11:59Z",
    "title_canon_sha256": "24789a52d428f321c703f3eb25ccf94b4d6a41c534aadfaa1b2239b2342a16cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04546",
    "kind": "arxiv",
    "version": 1
  }
}