Pith Number

pith:32LHWW3Q

pith:2023:32LHWW3QKITU6RLALRJPX4SKAB

not attested not anchored not stored refs pending

Petz recovery maps for qudit quantum channels

Francesco Petruccione, Lea Lautenbacher, Nadja K. Bernardes, Vinayak Jagadish

arxiv:2305.11658 v2 · 2023-05-19 · 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{32LHWW3QKITU6RLALRJPX4SKAB}

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	2026-07-05T08:21:38.931766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de967b5b7052274f45605c52fbf24a0062fea4d361cbedb16d65ee205f17a7ae

Aliases

arxiv: 2305.11658 · arxiv_version: 2305.11658v2 · doi: 10.48550/arxiv.2305.11658 · pith_short_12: 32LHWW3QKITU · pith_short_16: 32LHWW3QKITU6RLA · pith_short_8: 32LHWW3Q

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/32LHWW3QKITU6RLALRJPX4SKAB \
  | 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: de967b5b7052274f45605c52fbf24a0062fea4d361cbedb16d65ee205f17a7ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8e7c3f0caf332c7cfde3d0188f564bf2d9eab8399df3942f8025480dbb668a7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2023-05-19T13:14:36Z",
    "title_canon_sha256": "b38a15fc4842255149c4caecd643897292e199aadeb392b5159e42c1172a2721"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.11658",
    "kind": "arxiv",
    "version": 2
  }
}