Pith Number

pith:7Q3T2JBE

pith:2012:7Q3T2JBEG4XF5EKOQP3VJGDZ7Z

not attested not anchored not stored refs pending

Region of fidelities for a 1 -> N universal qubit quantum cloner

Micha{\l} Horodecki, Micha{\l} Studzi\'nski, Piotr \'Cwikli\'nski

arxiv:1201.6077 v4 · 2012-01-29 · quant-ph · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7Q3T2JBEG4XF5EKOQP3VJGDZ7Z}

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	2026-05-18T02:21:18.289010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc373d2424372e5e914e83f7549879fe6ed07c6f88345577a0bbd48385526898

Aliases

arxiv: 1201.6077 · arxiv_version: 1201.6077v4 · doi: 10.48550/arxiv.1201.6077 · pith_short_12: 7Q3T2JBEG4XF · pith_short_16: 7Q3T2JBEG4XF5EKO · pith_short_8: 7Q3T2JBE

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/7Q3T2JBEG4XF5EKOQP3VJGDZ7Z \
  | 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: fc373d2424372e5e914e83f7549879fe6ed07c6f88345577a0bbd48385526898

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e6639c803a50ff72c130c2a64299ba2b4052371f8d3e13e821c1cf7939a4a6a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-01-29T20:23:19Z",
    "title_canon_sha256": "fb8680f8d0bb783716c14f27015f879c0004fdfeb6c14efc34ca51e68f30994e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.6077",
    "kind": "arxiv",
    "version": 4
  }
}