Pith Number

pith:CYWWBKBM

pith:2021:CYWWBKBMH2HN53HZ5ZHQFPNQT3

not attested not anchored not stored refs pending

Efficient Classical Computation of Quantum Mean Values for Shallow QAOA Circuits

Chen Qian, Dong E. Liu, Hong-Ze Xu, Meng-Jun Hu, Peng Qian, Shahid Qamar, Wei-Feng Zhuang, Xiao Xiao, Xudan Chai, Ya-Nan Pu, Yanwu Gu, Yunheng Ma

arxiv:2112.11151 v1 · 2021-12-21 · 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{CYWWBKBMH2HN53HZ5ZHQFPNQT3}

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	2026-07-05T03:42:29.638684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

162d60a82c3e8edeecf9ee4f02bdb09ec9c3caa38f172b99762bdf3cb25bcacb

Aliases

arxiv: 2112.11151 · arxiv_version: 2112.11151v1 · doi: 10.48550/arxiv.2112.11151 · pith_short_12: CYWWBKBMH2HN · pith_short_16: CYWWBKBMH2HN53HZ · pith_short_8: CYWWBKBM

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/CYWWBKBMH2HN53HZ5ZHQFPNQT3 \
  | 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: 162d60a82c3e8edeecf9ee4f02bdb09ec9c3caa38f172b99762bdf3cb25bcacb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0bedc81e8aa116535eb2339ffe5c8a7cfea37de50078bf23779b187cc08e977",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2021-12-21T12:41:31Z",
    "title_canon_sha256": "204d486cc30bd606e99313303b8474c9db52a0229b0c29935eea9e792efd86c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.11151",
    "kind": "arxiv",
    "version": 1
  }
}