Pith Number

pith:QH534C6N

pith:2021:QH534C6NO7GYVRBLVRSQE62VVC

not attested not anchored not stored refs pending

Exponential separations between learning with and without quantum memory

Hsin-Yuan Huang, Jerry Li, Jordan Cotler, Sitan Chen

arxiv:2111.05881 v2 · 2021-11-10 · quant-ph · cs.CC · cs.IT · cs.LG · math.IT

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QH534C6NO7GYVRBLVRSQE62VVC}

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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

4 papers in Pith

Provable learning separation for predicting time-evolution of quantum many-body systems

An Exponential Advantage for Adaptive Tomography of Structured States under Pauli Basis Measurements

Learning Gaussian optical states with quantum computers

Exponential speedups in fault-tolerant processing of quantum experiments

Receipt and verification

First computed	2026-07-05T03:33:09.570133Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81fbbe0bcd77cd8ac42bac65027b55a8936b4427ee9fdbc90af41dfb85e3f9cf

Aliases

arxiv: 2111.05881 · arxiv_version: 2111.05881v2 · doi: 10.48550/arxiv.2111.05881 · pith_short_12: QH534C6NO7GY · pith_short_16: QH534C6NO7GYVRBL · pith_short_8: QH534C6N

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/QH534C6NO7GYVRBLVRSQE62VVC \
  | 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: 81fbbe0bcd77cd8ac42bac65027b55a8936b4427ee9fdbc90af41dfb85e3f9cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87d6c91da572114b596a6a77befbdfab6e5b8830b2642b4c5ea4a8b92de5f650",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.IT",
      "cs.LG",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2021-11-10T19:03:49Z",
    "title_canon_sha256": "ec5f9c78b2dfa2ef100816442231b69572300973484e5dd500d2e5c14754850d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.05881",
    "kind": "arxiv",
    "version": 2
  }
}