Pith Number

pith:BPGWROVQ

pith:2021:BPGWROVQXPIRUMYOFE2W4V73BI

not attested not anchored not stored refs pending

Limitations of Linear Cross-Entropy as a Measure for Quantum Advantage

Boaz Barak, Chi-Ning Chou, Marcin Kalinowski, Mikhail D. Lukin, Soonwon Choi, Xun Gao

arxiv:2112.01657 v1 · 2021-12-03 · quant-ph · cond-mat.stat-mech · cs.CC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BPGWROVQXPIRUMYOFE2W4V73BI}

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.

Cited by

1 paper in Pith

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity

Receipt and verification

First computed	2026-07-05T08:14:37.543792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bcd68bab0bbd11a330e29356e57fb0a013d7546dd7909f9253cdc2a9daabe7d

Aliases

arxiv: 2112.01657 · arxiv_version: 2112.01657v1 · doi: 10.48550/arxiv.2112.01657 · pith_short_12: BPGWROVQXPIR · pith_short_16: BPGWROVQXPIRUMYO · pith_short_8: BPGWROVQ

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/BPGWROVQXPIRUMYOFE2W4V73BI \
  | 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: 0bcd68bab0bbd11a330e29356e57fb0a013d7546dd7909f9253cdc2a9daabe7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dda118f05fe44a35db9a23f49ae812e55178d54c2a1be360f9751a34bb7231bc",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2021-12-03T00:37:10Z",
    "title_canon_sha256": "96be0da1d2b8c68e0a2c3ba87a56140dda2ad84b913cb7e990bcb314932cfbd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.01657",
    "kind": "arxiv",
    "version": 1
  }
}