Pith Number

pith:UKN2YOBQ

pith:2012:UKN2YOBQBME2FLW2QQBHJWGZ5J

not attested not anchored not stored refs pending

Minimal sets determining universal and phase-covariant quantum cloning

Han-Duo Shi, Heng Fan, Liang-zhu Mu, Li Jing, Yi-Nan Wang

arxiv:1208.0746 v1 · 2012-08-03 · 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{UKN2YOBQBME2FLW2QQBHJWGZ5J}

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	2026-05-18T03:37:41.083466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a29bac38300b09a2aeda840274d8d9ea53459fceb379a12255767e92d3c6e330

Aliases

arxiv: 1208.0746 · arxiv_version: 1208.0746v1 · doi: 10.48550/arxiv.1208.0746 · pith_short_12: UKN2YOBQBME2 · pith_short_16: UKN2YOBQBME2FLW2 · pith_short_8: UKN2YOBQ

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/UKN2YOBQBME2FLW2QQBHJWGZ5J \
  | 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: a29bac38300b09a2aeda840274d8d9ea53459fceb379a12255767e92d3c6e330

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a69dcae1c36c2f7c0827087ac1219da4a05ae9eae605de1d57ff07ec7e2fa159",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-08-03T13:54:28Z",
    "title_canon_sha256": "35b61ffd574697131c37f07dc9cd93a6f11fd3711dbd716a863068aaed7b8931"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.0746",
    "kind": "arxiv",
    "version": 1
  }
}