Pith Number

pith:UCNDKMBV

pith:2012:UCNDKMBVWGXCZI4KVA3BNF3NVJ

not attested not anchored not stored refs pending

Local random quantum circuits are approximate polynomial-designs - numerical results

{\L}ukasz Pankowski, Marek Mozrzymas, Micha{\l} Horodecki, Micha{\l} Studzi\'nski, Piotr \'Cwikli\'nski

arxiv:1212.2556 v2 · 2012-12-11 · 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{UCNDKMBVWGXCZI4KVA3BNF3NVJ}

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	2026-05-18T03:19:13.253446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a09a353035b1ae2ca38aa83616976daa5a772b485e3a3687b7e18097e0531168

Aliases

arxiv: 1212.2556 · arxiv_version: 1212.2556v2 · doi: 10.48550/arxiv.1212.2556 · pith_short_12: UCNDKMBVWGXC · pith_short_16: UCNDKMBVWGXCZI4K · pith_short_8: UCNDKMBV

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/UCNDKMBVWGXCZI4KVA3BNF3NVJ \
  | 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: a09a353035b1ae2ca38aa83616976daa5a772b485e3a3687b7e18097e0531168

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3c76a6172775ffcc1f7a7320455d5c185063486bfc63033dfc7f38e58bfdf48",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-12-11T17:48:24Z",
    "title_canon_sha256": "a7973ea8793d6253bdc7c78d15bebf45bee5e9de989e335abe9e93d53658570b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2556",
    "kind": "arxiv",
    "version": 2
  }
}