Pith Number

pith:64P65UXY

pith:1999:64P65UXYEUCEU2HULQTO2PQ6OO

not attested not anchored not stored refs pending

Optimal Manipulations with Qubits: Universal NOT Gate

M. Hillery, R. Werner, V. Buzek

arxiv:quant-ph/9901053 v1 · 1999-01-17 · 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{64P65UXYEUCEU2HULQTO2PQ6OO}

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.

Cited by

1 paper in Pith

Probabilistic exact universal quantum circuits for transforming unitary operations

Receipt and verification

First computed	2026-07-04T14:47:23.545217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f71feed2f825044a68f45c26ed3e1e73a8940b07cbf273ab8b8f18d2d8eb9705

Aliases

arxiv: quant-ph/9901053 · arxiv_version: quant-ph/9901053v1 · doi: 10.48550/arxiv.quant-ph/9901053 · pith_short_12: 64P65UXYEUCE · pith_short_16: 64P65UXYEUCEU2HU · pith_short_8: 64P65UXY

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/64P65UXYEUCEU2HULQTO2PQ6OO \
  | 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: f71feed2f825044a68f45c26ed3e1e73a8940b07cbf273ab8b8f18d2d8eb9705

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "802ad78af6acbfb9bbce176f86e6fb68d792e68dd4fcce8566abce5e1c0200e1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1999-01-17T11:12:21Z",
    "title_canon_sha256": "9f86278f85da3152ba0ada9470778d23930e1cc247a393af8f60b3bc7cafb557"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9901053",
    "kind": "arxiv",
    "version": 1
  }
}