Pith Number

pith:O6YYLN2G

pith:2012:O6YYLN2GFEIHZRKV4MLXXXNZG2

not attested not anchored not stored refs pending

Scrambling speed of random quantum circuits

Omar Fawzi, Winton Brown

arxiv:1210.6644 v2 · 2012-10-24 · quant-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O6YYLN2GFEIHZRKV4MLXXXNZG2}

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	2026-05-18T03:19:23.338354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77b185b74629107cc555e3177bddb936bc2440564b978b93cd9fbd2e65d3bc42

Aliases

arxiv: 1210.6644 · arxiv_version: 1210.6644v2 · doi: 10.48550/arxiv.1210.6644 · pith_short_12: O6YYLN2GFEIH · pith_short_16: O6YYLN2GFEIHZRKV · pith_short_8: O6YYLN2G

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/O6YYLN2GFEIHZRKV4MLXXXNZG2 \
  | 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: 77b185b74629107cc555e3177bddb936bc2440564b978b93cd9fbd2e65d3bc42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64aa60531088af060c4e66f602e19d2db019b815b3877da01cf7395bc4b61ab5",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-10-24T19:53:04Z",
    "title_canon_sha256": "4b8e866cba083a2d10b14bd7bb430d48864e17a4e5fb931be14abf4e747951cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6644",
    "kind": "arxiv",
    "version": 2
  }
}