Pith. sign in
Pith Number

pith:TJEIFTLP

pith:2020:TJEIFTLP5LI5TPPUG7WAXC5HJC
not attested not anchored not stored refs pending

Random quantum circuits anti-concentrate in log depth

Alexander M. Dalzell, Fernando G. S. L. Brand\~ao, Nicholas Hunter-Jones

arxiv:2011.12277 v2 · 2020-11-24 · quant-ph · cond-mat.stat-mech · cond-mat.str-el

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{TJEIFTLP5LI5TPPUG7WAXC5HJC}

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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 2026-07-05T04:02:14.615032Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

9a4882cd6fead1d9bdf437ec0b8ba748b9b230d9b4e88bc6ebc5dd30be714f8f

Aliases

arxiv: 2011.12277 · arxiv_version: 2011.12277v2 · doi: 10.48550/arxiv.2011.12277 · pith_short_12: TJEIFTLP5LI5 · pith_short_16: TJEIFTLP5LI5TPPU · pith_short_8: TJEIFTLP
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/TJEIFTLP5LI5TPPUG7WAXC5HJC \
  | 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: 9a4882cd6fead1d9bdf437ec0b8ba748b9b230d9b4e88bc6ebc5dd30be714f8f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "dcb2cd1f3f78b0781a224a6b12c25b7e32225fa1eae9398fe7beffa9d311f4bd",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cond-mat.str-el"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2020-11-24T18:44:57Z",
    "title_canon_sha256": "50f2c78f4b7ca0e2e2869e33c2066bb31a03bca27323ea00aab7f5b5e3d2a850"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.12277",
    "kind": "arxiv",
    "version": 2
  }
}