Pith Number

pith:7E6FXUB2

pith:1998:7E6FXUB2TZDV4DMAWARI2BNCLD

not attested not anchored not stored refs pending

Optimal Cloning of Pure States, Judging Single Clones

M. Keyl, R. F. Werner (Inst. Math. Phys., TU-Braunschweig)

arxiv:quant-ph/9807010 v1 · 1998-07-03 · 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{7E6FXUB2TZDV4DMAWARI2BNCLD}

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

An Exponential Sample-Complexity Advantage for Coherent Quantum Inference

Receipt and verification

First computed	2026-05-18T01:37:52.822147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f93c5bd03a9e475e0d80b0228d05a258f7c39700154f430e6b5eed3b5d235b4b

Aliases

arxiv: quant-ph/9807010 · arxiv_version: quant-ph/9807010v1 · doi: 10.48550/arxiv.quant-ph/9807010 · pith_short_12: 7E6FXUB2TZDV · pith_short_16: 7E6FXUB2TZDV4DMA · pith_short_8: 7E6FXUB2

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/7E6FXUB2TZDV4DMAWARI2BNCLD \
  | 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: f93c5bd03a9e475e0d80b0228d05a258f7c39700154f430e6b5eed3b5d235b4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fea4131f056df2cb1d7aa995edce23736c49f749b0909289cf673070ec1596f7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1998-07-03T10:09:00Z",
    "title_canon_sha256": "26404f79134aed3767a563a5f1597b0e7ab8208ecb94c33a7ec43da6711facb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9807010",
    "kind": "arxiv",
    "version": 1
  }
}