Pith Number

pith:VTZ6JQ26

pith:2005:VTZ6JQ26G53A7ALHUIVMNG23PA

not attested not anchored not stored refs pending

Optimal Entanglement Witnesses for Qubits and Qutrits

Beatrix C. Hiesmayr, Katharina Durstberger, Philipp Krammer, Reinhold A. Bertlmann

arxiv:quant-ph/0508043 v2 · 2005-08-04 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VTZ6JQ26G53A7ALHUIVMNG23PA}

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	2026-05-18T01:05:02.821574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acf3e4c35e37760f8167a22ac69b5b7820ab96d46fb016c97a037c8453e69deb

Aliases

arxiv: quant-ph/0508043 · arxiv_version: quant-ph/0508043v2 · doi: 10.48550/arxiv.quant-ph/0508043 · pith_short_12: VTZ6JQ26G53A · pith_short_16: VTZ6JQ26G53A7ALH · pith_short_8: VTZ6JQ26

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/VTZ6JQ26G53A7ALHUIVMNG23PA \
  | 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: acf3e4c35e37760f8167a22ac69b5b7820ab96d46fb016c97a037c8453e69deb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f44b6590add29d9956c46abd7fb5a8ae95ddfccdd8c7bc82188fc683d4500f54",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2005-08-04T17:25:30Z",
    "title_canon_sha256": "2da7bd5153b1d4031e900063285eab557c165a15157338404d3f248f43621b7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0508043",
    "kind": "arxiv",
    "version": 2
  }
}