Pith Number

pith:UZRTOBUS

pith:1997:UZRTOBUSLWKXLQNM7MSX56QCR3

not attested not anchored not stored refs pending

Optimal universal quantum cloning and state estimation

A. Ekert, C. Macchiavello, D. Bruss

arxiv:quant-ph/9712019 v3 · 1997-12-09 · 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{UZRTOBUSLWKXLQNM7MSX56QCR3}

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

Cloning Quantum Channels

Receipt and verification

First computed	2026-07-04T15:36:42.273980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6633706925d9575c1acfb257efa028ec9bb87ea5a595c07237b4f71e8dec358

Aliases

arxiv: quant-ph/9712019 · arxiv_version: quant-ph/9712019v3 · doi: 10.48550/arxiv.quant-ph/9712019 · pith_short_12: UZRTOBUSLWKX · pith_short_16: UZRTOBUSLWKXLQNM · pith_short_8: UZRTOBUS

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/UZRTOBUSLWKXLQNM7MSX56QCR3 \
  | 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: a6633706925d9575c1acfb257efa028ec9bb87ea5a595c07237b4f71e8dec358

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e71d910fe9d176711842d6f494b957f378554f3c016965c65940bf13bbc633cb",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1997-12-09T11:16:03Z",
    "title_canon_sha256": "1b40c238132a2474aafd711d8dddbcd3c6cf9131ef7f14d61c90cd3a06f00621"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9712019",
    "kind": "arxiv",
    "version": 3
  }
}