Pith Number

pith:GQYCZDIW

pith:2026:GQYCZDIWUVD2FCULFE4BSKFD5B

not attested not anchored not stored refs pending

Optimal convex approximation of quantum channels based on $\alpha$-affinity

Changshui Yu, Chengling Fu, Guohui Yang, Liqiang Zhang, Liuyong Cheng

arxiv:2606.05745 v1 · 2026-06-04 · 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{GQYCZDIWUVD2FCULFE4BSKFD5B}

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	2026-06-05T01:15:01.473930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34302c8d16a547a28a8b29381928a3e85190d45c1f390fe750084e2b360196af

Aliases

arxiv: 2606.05745 · arxiv_version: 2606.05745v1 · doi: 10.48550/arxiv.2606.05745 · pith_short_12: GQYCZDIWUVD2 · pith_short_16: GQYCZDIWUVD2FCUL · pith_short_8: GQYCZDIW

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/GQYCZDIWUVD2FCULFE4BSKFD5B \
  | 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: 34302c8d16a547a28a8b29381928a3e85190d45c1f390fe750084e2b360196af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c90de8442d11d15d81cb639ea8caef011d6c4ba764915cdcd4422cbc6005fcd8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-04T06:18:32Z",
    "title_canon_sha256": "9aa9085a515e0f2151af701c0d78082e65edc1c04798c778ff20a61a48651261"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.05745",
    "kind": "arxiv",
    "version": 1
  }
}