Pith Number

pith:KZTV7XKP

pith:2026:KZTV7XKPY2JHUUGX3OXQPO77J2

not attested not anchored not stored refs pending

Distilling Unitary Operations: A No-Go Theorem and Minimal Realization

Chengkai Zhu, Guocheng Zhen, Jiayi Zhao, Ranyiliu Chen, Xin Wang, Yu-Ao Chen

arxiv:2604.01048 v2 · 2026-04-01 · 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{KZTV7XKPY2JHUUGX3OXQPO77J2}

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	2026-06-10T01:10:00.199125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56675fdd4fc6927a50d7dbaf07bbff4e84c6582367644354d1b0bf47557a2ac7

Aliases

arxiv: 2604.01048 · arxiv_version: 2604.01048v2 · doi: 10.48550/arxiv.2604.01048 · pith_short_12: KZTV7XKPY2JH · pith_short_16: KZTV7XKPY2JHUUGX · pith_short_8: KZTV7XKP

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/KZTV7XKPY2JHUUGX3OXQPO77J2 \
  | 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: 56675fdd4fc6927a50d7dbaf07bbff4e84c6582367644354d1b0bf47557a2ac7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0f3220bef8b836ffcb9c243c3905e3ca5ce7b95c9107dfcf6bdc16c68c9dfca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-04-01T15:53:45Z",
    "title_canon_sha256": "e9d6c5efda50ca7277ceba20e20bd586d01360448cbda3f5518970b090e8eaea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.01048",
    "kind": "arxiv",
    "version": 2
  }
}