Pith Number

pith:ZKAALZBL

pith:2011:ZKAALZBL3YIQ42BZ67EHTFV4Q6

not attested not anchored not stored refs pending

Quantum channels that preserve the commutativity

Chengjie Zhang, C.H. Oh, Qing Chen, Sixia Yu

arxiv:1112.5700 v1 · 2011-12-24 · 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{ZKAALZBL3YIQ42BZ67EHTFV4Q6}

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	2026-05-18T04:05:37.783869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca8005e42bde110e6839f7c87996bc878d4d0b5ded1d8425e85f9c712a3e863a

Aliases

arxiv: 1112.5700 · arxiv_version: 1112.5700v1 · doi: 10.48550/arxiv.1112.5700 · pith_short_12: ZKAALZBL3YIQ · pith_short_16: ZKAALZBL3YIQ42BZ · pith_short_8: ZKAALZBL

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/ZKAALZBL3YIQ42BZ67EHTFV4Q6 \
  | 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: ca8005e42bde110e6839f7c87996bc878d4d0b5ded1d8425e85f9c712a3e863a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9c7f0813e750d671036cbce51bea68001668b82f16c77c461a8f008c43de927",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-12-24T05:27:39Z",
    "title_canon_sha256": "d5f953f37d9e56c95b780528fd6faf4be6106cba52bc8b1a6db7c456af17acd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5700",
    "kind": "arxiv",
    "version": 1
  }
}