Pith Number

pith:FUFDUH6W

pith:2024:FUFDUH6WVOVIAAEEKBTIYFBB3B

not attested not anchored not stored refs pending

Optimality Condition for the Petz Map

Bikun Li, Guo Zheng, Liang Jiang, Yat Wong, Zhaoyou Wang

arxiv:2410.23622 v5 · 2024-10-31 · 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{FUFDUH6WVOVIAAEEKBTIYFBB3B}

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	2026-06-19T16:09:46.945912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d0a3a1fd6abaa80008450668c1421d85df5c88c9640601cb23a29e7ab0d008e

Aliases

arxiv: 2410.23622 · arxiv_version: 2410.23622v5 · doi: 10.48550/arxiv.2410.23622 · pith_short_12: FUFDUH6WVOVI · pith_short_16: FUFDUH6WVOVIAAEE · pith_short_8: FUFDUH6W

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/FUFDUH6WVOVIAAEEKBTIYFBB3B \
  | 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: 2d0a3a1fd6abaa80008450668c1421d85df5c88c9640601cb23a29e7ab0d008e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68e98baa09ef76e4ac9e5194882eed5549eb86ca2d552fb0fabc077baeef7fa1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2024-10-31T04:20:12Z",
    "title_canon_sha256": "3f37acd7bdda138e272a725eb078aeef0af92ab7ceae95d754ab00fe8271a2b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.23622",
    "kind": "arxiv",
    "version": 5
  }
}