Pith Number

pith:L2XOFNWC

pith:1998:L2XOFNWC73ND5SX7GLG3ZSE3SY

not attested not anchored not stored refs pending

Universal optimal cloning of qubits and quantum registers

Astronomy, Bratislava, CUNY, Hunter College, Mark Hillery (Institute of Physics, New York, SAS, Slovakia & Department of Physics, USA), Vladimir Buzek

arxiv:quant-ph/9801009 v1 · 1998-01-07 · 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{L2XOFNWC73ND5SX7GLG3ZSE3SY}

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	2026-07-04T14:47:10.156197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5eaee2b6c2feda3ecaff32cdbcc89b9609f319a0d7d85339466d89fb54047a23

Aliases

arxiv: quant-ph/9801009 · arxiv_version: quant-ph/9801009v1 · doi: 10.48550/arxiv.quant-ph/9801009 · pith_short_12: L2XOFNWC73ND · pith_short_16: L2XOFNWC73ND5SX7 · pith_short_8: L2XOFNWC

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/L2XOFNWC73ND5SX7GLG3ZSE3SY \
  | 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: 5eaee2b6c2feda3ecaff32cdbcc89b9609f319a0d7d85339466d89fb54047a23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6ee01f9877191d44a5f9eb1a2c5ff4fa086230399e57440e94a0572a5314ee6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1998-01-07T14:40:49Z",
    "title_canon_sha256": "b08a9941041f677f0411cb9f4a391608ee004cb9a4d9ee5c6e2121f6d68375af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9801009",
    "kind": "arxiv",
    "version": 1
  }
}