Pith Number

pith:63G2OTS7

pith:2022:63G2OTS7V52HHPZSDYQROMDC36

not attested not anchored not stored refs pending

A single $T$-gate makes distribution learning hard

Alexander Nietner, Dominik Hangleiter, Jean-Pierre Seifert, Jens Eisert, Jonas Haferkamp, Marcel Hinsche, Marios Ioannou, Ryan Sweke, Yihui Quek

arxiv:2207.03140 v1 · 2022-07-07 · quant-ph · cs.CC · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{63G2OTS7V52HHPZSDYQROMDC36}

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.

Cited by

2 papers in Pith

Comparing Classical Simulation and Sample-Based Learning of Quantum Systems

On the Complexity of Quantum States and Circuits from the Orthogonal and Symplectic Groups

Receipt and verification

First computed	2026-07-05T06:19:52.493506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6cda74e5faf7473bf321e21173062dfa85a3c22da352519ab935fec364e4f39

Aliases

arxiv: 2207.03140 · arxiv_version: 2207.03140v1 · doi: 10.48550/arxiv.2207.03140 · pith_short_12: 63G2OTS7V52H · pith_short_16: 63G2OTS7V52HHPZS · pith_short_8: 63G2OTS7

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/63G2OTS7V52HHPZSDYQROMDC36 \
  | 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: f6cda74e5faf7473bf321e21173062dfa85a3c22da352519ab935fec364e4f39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85958bd17c48b8509b47450d56fbe900885babf93a9408b6f9446af66a6259cc",
    "cross_cats_sorted": [
      "cs.CC",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2022-07-07T08:04:15Z",
    "title_canon_sha256": "a92d4dfb32371fa77f989c4bd26c88bd538ee0bf7e330ef02e9fa94ced393ab6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.03140",
    "kind": "arxiv",
    "version": 1
  }
}