Pith Number

pith:CLNVU7DA

pith:2011:CLNVU7DAORH3LRKCTE6KUY6VX7

not attested not anchored not stored refs pending

All Mutually Unbiased Product Bases in Dimension Six

Daniel McNulty, Stefan Weigert

arxiv:1111.3632 v2 · 2011-11-15 · 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{CLNVU7DAORH3LRKCTE6KUY6VX7}

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	2026-05-18T03:59:25.052550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12db5a7c60744fb5c542993caa63d5bfc2468dd8a603d125f526ccde0ee7f062

Aliases

arxiv: 1111.3632 · arxiv_version: 1111.3632v2 · doi: 10.48550/arxiv.1111.3632 · pith_short_12: CLNVU7DAORH3 · pith_short_16: CLNVU7DAORH3LRKC · pith_short_8: CLNVU7DA

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/CLNVU7DAORH3LRKCTE6KUY6VX7 \
  | 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: 12db5a7c60744fb5c542993caa63d5bfc2468dd8a603d125f526ccde0ee7f062

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97d300aa65c50b6617a1a262013bdc664180a1ef46763b57a6a1a7e78c58653f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-11-15T20:46:32Z",
    "title_canon_sha256": "fc3f90ec284bad61ad476a829362d3aa5b97a7f8c1287d28fa1c8761cf325e33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3632",
    "kind": "arxiv",
    "version": 2
  }
}