Pith Number

pith:GPXZ2FCO

pith:1997:GPXZ2FCODD3H2DNVIDFJCWITLH

not attested not anchored not stored refs pending

Optimal Universal and State-Dependent Quantum Cloning

A. Ekert, C. A. Fuchs, C. Macchiavello, D. Bruss, D. P. DiVincenzo, J. A. Smolin

arxiv:quant-ph/9705038 v3 · 1997-05-22 · 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{GPXZ2FCODD3H2DNVIDFJCWITLH}

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	2026-07-04T16:06:29.629957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33ef9d144e18f67d0db540ca91591359ef6f745f43bb84c347affedb35f0db28

Aliases

arxiv: quant-ph/9705038 · arxiv_version: quant-ph/9705038v3 · doi: 10.48550/arxiv.quant-ph/9705038 · pith_short_12: GPXZ2FCODD3H · pith_short_16: GPXZ2FCODD3H2DNV · pith_short_8: GPXZ2FCO

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/GPXZ2FCODD3H2DNVIDFJCWITLH \
  | 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: 33ef9d144e18f67d0db540ca91591359ef6f745f43bb84c347affedb35f0db28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9dcbfb6e559cefb5cc64db47a3fde74682219c313d773a720372675a8c189544",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1997-05-22T14:20:40Z",
    "title_canon_sha256": "ee4163a98dab95214b9b23b037bbd71d7952e0f537f526a48695fc6a30dba03b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9705038",
    "kind": "arxiv",
    "version": 3
  }
}