Pith Number

pith:33UL5JZQ

pith:2015:33UL5JZQMWDJZNNSYMQTIZEENG

not attested not anchored not stored refs pending

Mutually Unbiased Product Bases for Multiple Qudits

Bogdan Pammer, Daniel McNulty, Stefan Weigert

arxiv:1510.08085 v2 · 2015-10-27 · 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{33UL5JZQMWDJZNNSYMQTIZEENG}

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	2026-05-18T01:18:57.143365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dee8bea73065869cb5b2c321346484699905dce45eccae96c52deda0698a2242

Aliases

arxiv: 1510.08085 · arxiv_version: 1510.08085v2 · doi: 10.48550/arxiv.1510.08085 · pith_short_12: 33UL5JZQMWDJ · pith_short_16: 33UL5JZQMWDJZNNS · pith_short_8: 33UL5JZQ

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/33UL5JZQMWDJZNNSYMQTIZEENG \
  | 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: dee8bea73065869cb5b2c321346484699905dce45eccae96c52deda0698a2242

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b5f0e0921024803c8feb79bf1370e6a3e66e0f00d150edf38b06c83aefaf167",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-10-27T20:22:37Z",
    "title_canon_sha256": "0c4c6318cdb29d3818109713641f1616d62f5186f9d4f73cb4a26d3eb6248130"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08085",
    "kind": "arxiv",
    "version": 2
  }
}