Pith Number

pith:DF3GYGXF

pith:2018:DF3GYGXFEKGDEHBAXSHFNK4QTZ

not attested not anchored not stored refs pending

Approximate unitary $t$-designs by short random quantum circuits using nearest-neighbor and long-range gates

Aram Harrow, Saeed Mehraban

arxiv:1809.06957 v2 · 2018-09-18 · 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{DF3GYGXFEKGDEHBAXSHFNK4QTZ}

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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.

Cited by

2 papers in Pith

Wavelet Variance Equipartition as a Threshold for World-Model Quality and Quantum Kernel TN-Simulability

Quantum computation at the edge of chaos

Receipt and verification

First computed	2026-07-05T06:06:50.506932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19766c1ae5228c321c20bc8e56ab909e79684d8674bc6691cf11651b8936c1c6

Aliases

arxiv: 1809.06957 · arxiv_version: 1809.06957v2 · doi: 10.48550/arxiv.1809.06957 · pith_short_12: DF3GYGXFEKGD · pith_short_16: DF3GYGXFEKGDEHBA · pith_short_8: DF3GYGXF

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/DF3GYGXFEKGDEHBAXSHFNK4QTZ \
  | 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: 19766c1ae5228c321c20bc8e56ab909e79684d8674bc6691cf11651b8936c1c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e0995a2184bfb3e2c423bc3afe185a3064f410a3fe02408744deebc751b8124",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2018-09-18T22:28:15Z",
    "title_canon_sha256": "38bf2d1b11ba7e432666afb742d3ae247a29b7554e106b67bb8717e1acf07e9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.06957",
    "kind": "arxiv",
    "version": 2
  }
}