Pith Number

pith:CRM2KBSU

pith:2010:CRM2KBSUMDZB7T5KRCTKIFNAT5

not attested not anchored not stored refs pending

Comment on the paper "Random Quantum Circuits are Approximate 2-designs"

Daniel Jonathan, Igor Tuche Diniz

arxiv:1006.4202 v1 · 2010-06-22 · 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{CRM2KBSUMDZB7T5KRCTKIFNAT5}

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	2026-05-18T04:23:11.648285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1459a5065460f21fcfaa88a6a415a09f5c823d1d8b8132ba1d3fc2172001fe87

Aliases

arxiv: 1006.4202 · arxiv_version: 1006.4202v1 · doi: 10.48550/arxiv.1006.4202 · pith_short_12: CRM2KBSUMDZB · pith_short_16: CRM2KBSUMDZB7T5K · pith_short_8: CRM2KBSU

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/CRM2KBSUMDZB7T5KRCTKIFNAT5 \
  | 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: 1459a5065460f21fcfaa88a6a415a09f5c823d1d8b8132ba1d3fc2172001fe87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7d979769cb6b4342181fb7fbba2828eb51541da0b7c20428b55cbfd08405152",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-06-22T02:05:15Z",
    "title_canon_sha256": "d8f493a83391297adb09747f18e5e226428eb0eca95c3852ebc0c21fb73e45ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.4202",
    "kind": "arxiv",
    "version": 1
  }
}