Pith Number

pith:FGKPTOUE

pith:2025:FGKPTOUER6PVU5O3CHZYIK7BSI

not attested not anchored not stored refs pending

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity

Bin Cheng, Fei Meng, Man-Hong Yung, Zhi-Jiong Zhang

arxiv:2502.09015 v1 · 2025-02-13 · 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{FGKPTOUER6PVU5O3CHZYIK7BSI}

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	2026-07-05T10:13:51.095087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2994f9ba848f9f5a75db11f3842be1920d11f3e213b6bbd60c2cb8db5365edce

Aliases

arxiv: 2502.09015 · arxiv_version: 2502.09015v1 · doi: 10.48550/arxiv.2502.09015 · pith_short_12: FGKPTOUER6PV · pith_short_16: FGKPTOUER6PVU5O3 · pith_short_8: FGKPTOUE

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/FGKPTOUER6PVU5O3CHZYIK7BSI \
  | 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: 2994f9ba848f9f5a75db11f3842be1920d11f3e213b6bbd60c2cb8db5365edce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c9469bccee97dd29ddebe5d38fc12ec2a21b6a5f14b46440f5fd2dfaeb2d8aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-02-13T07:04:50Z",
    "title_canon_sha256": "3ad4b8174cc8299a23c4b7f6587472c4c7bb25ecc77ef967557d8297c664403d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.09015",
    "kind": "arxiv",
    "version": 1
  }
}