Pith Number

pith:QHFI46RQ

pith:2021:QHFI46RQ5RLPYLE2QBWMI3LPIT

not attested not anchored not stored refs pending

Tight bounds on the convergence of noisy random circuits to the uniform distribution

Abhinav Deshpande, Alexey V. Gorshkov, Bill Fefferman, Michael J. Gullans, Oles Shtanko, Pradeep Niroula

arxiv:2112.00716 v3 · 2021-12-01 · quant-ph · cond-mat.dis-nn · cond-mat.mes-hall · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QHFI46RQ5RLPYLE2QBWMI3LPIT}

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	2026-07-05T05:27:58.863081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81ca8e7a30ec56fc2c9a806cc46d6f44c5df57db92619478cb76cd91031c4d57

Aliases

arxiv: 2112.00716 · arxiv_version: 2112.00716v3 · doi: 10.48550/arxiv.2112.00716 · pith_short_12: QHFI46RQ5RLP · pith_short_16: QHFI46RQ5RLPYLE2 · pith_short_8: QHFI46RQ

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/QHFI46RQ5RLPYLE2QBWMI3LPIT \
  | 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: 81ca8e7a30ec56fc2c9a806cc46d6f44c5df57db92619478cb76cd91031c4d57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cd71677d527e61a870cce3afee8ea5d23b516394c117d0c174255c043637c97",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cond-mat.mes-hall",
      "cond-mat.stat-mech"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2021-12-01T18:47:50Z",
    "title_canon_sha256": "1d6e38a78ff250be4e3a5a91af37c541ba29a9ee859e3a7e970663e189cdf114"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.00716",
    "kind": "arxiv",
    "version": 3
  }
}