Pith Number

pith:ZLKZEIXC

pith:2026:ZLKZEIXCFV7GIO4OIXT3CD75ZG

not attested not anchored not stored refs pending

Semidefinite Programming for Optimal Quantum Cloning: A Computational Framework

J\"org Hettel

arxiv:2605.21274 v1 · 2026-05-20 · 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{ZLKZEIXCFV7GIO4OIXT3CD75ZG}

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	2026-05-21T02:05:26.191620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cad59222e22d7e643b8e45e7b10ffdc9a176cd0deeda3d75ef147c8fa8c5a194

Aliases

arxiv: 2605.21274 · arxiv_version: 2605.21274v1 · doi: 10.48550/arxiv.2605.21274 · pith_short_12: ZLKZEIXCFV7G · pith_short_16: ZLKZEIXCFV7GIO4O · pith_short_8: ZLKZEIXC

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/ZLKZEIXCFV7GIO4OIXT3CD75ZG \
  | 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: cad59222e22d7e643b8e45e7b10ffdc9a176cd0deeda3d75ef147c8fa8c5a194

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bb6fe9ffafb9a4571992c9f80afbbb80e70e11898f1423896070ff815cdb52f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-20T15:05:38Z",
    "title_canon_sha256": "de3262cfb37144b3d83ffdb92c74bfe1133f108e4384d03ed4b8e14900a0ae66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21274",
    "kind": "arxiv",
    "version": 1
  }
}