Pith Number

pith:TYP4IZMF

pith:1998:TYP4IZMFJ44TK3KTMRG57YSTOA

not attested not anchored not stored refs pending

Optimal Cloning of Pure States

R. F. Werner

arxiv:quant-ph/9804001 v1 · 1998-04-01 · 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{TYP4IZMFJ44TK3KTMRG57YSTOA}

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	2026-07-04T16:10:28.924456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e1fc465854f39356d53644ddfe2537033c25b171a4874704f7d73ae2e10e6ce

Aliases

arxiv: quant-ph/9804001 · arxiv_version: quant-ph/9804001v1 · doi: 10.48550/arxiv.quant-ph/9804001 · pith_short_12: TYP4IZMFJ44T · pith_short_16: TYP4IZMFJ44TK3KT · pith_short_8: TYP4IZMF

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/TYP4IZMFJ44TK3KTMRG57YSTOA \
  | 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: 9e1fc465854f39356d53644ddfe2537033c25b171a4874704f7d73ae2e10e6ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7d101ef5be29b6205586e0d8ebcd640c58ef58ccc130aa706c72232b04e8786",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1998-04-01T08:28:01Z",
    "title_canon_sha256": "aa1e8b60fc0d7ba7dc19834f4ec2f20d0cb5e44d0a8495d1c1a26c44bf0bdceb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9804001",
    "kind": "arxiv",
    "version": 1
  }
}