Pith Number

pith:QQFT2DFD

pith:1997:QQFT2DFDYZBUP6YGNDPOU4JDQX

not attested not anchored not stored refs pending

Optimal Quantum Cloning Machines

N. Gisin, S. Massar

arxiv:quant-ph/9705046 v2 · 1997-05-27 · 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{QQFT2DFDYZBUP6YGNDPOU4JDQX}

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	2026-07-04T15:36:42.056476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

840b3d0ca3c64347fb0668deea712385cec4eb7d47f3fce078c6ed81d2a98ad8

Aliases

arxiv: quant-ph/9705046 · arxiv_version: quant-ph/9705046v2 · doi: 10.48550/arxiv.quant-ph/9705046 · pith_short_12: QQFT2DFDYZBU · pith_short_16: QQFT2DFDYZBUP6YG · pith_short_8: QQFT2DFD

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/QQFT2DFDYZBUP6YGNDPOU4JDQX \
  | 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: 840b3d0ca3c64347fb0668deea712385cec4eb7d47f3fce078c6ed81d2a98ad8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8298d4df585d681fbbc19dde7a33910d037c97a1f477ed6358fd8feaf322a55d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1997-05-27T07:39:51Z",
    "title_canon_sha256": "7b7e5b6bed70474204fa523471c9bc4f30095a1d264347eeec11b8c56003ec98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9705046",
    "kind": "arxiv",
    "version": 2
  }
}